consider reordering the letters in the word tennessee. use the technique shown in example 9.5.11 to answer the following questions. (a) if the n's are placed first, how many ways are there to choose positions for them? if the e's are placed second, how many ways are there to choose positions for them? if the s's are placed third, how many ways are there to choose positions for them? if the t is placed fourth, how many ways are there to choose a position for it? so, the total number of ways to reorder the letters in the word tennessee is . (b) imagine placing the letters into positions in a different order. if the e's are placed first, how many ways are there to choose positions for them? if the t is placed second, how many ways are there to choose a position for it? if the s's are placed third, how many ways are there to choose positions for them? if the n's are placed fourth, how many ways are there to choose positions for them? (c) when the method suggested in part (b) is used to find the total number of ways to reorder the letters in the word tennessee, the result is ---select--- when the method of part (a) is used.
Answers
Answer:
Step-by-step explanation:
(a) If the n's are placed first, 36 ways are there to choose positions for them. If the e's are placed second, 35 ways are there to choose positions for them. If the s's are placed third, 3 ways are there to choose positions for them. If the t is placed fourth, 1 way is there to choose a position for it.
(b) If the e's are placed first, 126 ways are there to choose positions for them. If the t is placed second, 5 ways are there to choose a position for it. If the s's are placed third, 6 ways are there to choose positions for them. If the n's are placed fourth, 1 way is there to choose position for it.
(c) Part (b) is used to find the total number of ways to reorder the letters in the word tennessee, the result is 36*35*3*1=3780. Part (a) is used to find the total number of ways to reorder the letters in the word tennessee, the result is 126*5*6*1 =3780.
What is permutation of rearranging letters?
A permutation is a (possible) rearrangement of objects. For example, there are 6 permutation of rearranging letters a, b, c: abc, acb, bac, bca, cab, cba. a b c , a c b , b a c , b c a , c a b , c b a .
The total number of ways to reorder the letters in the word "tennessee" is calculated by considering the different ways the letters can be placed first, second, third, and fourth. The number of ways to place the n's first is 9!/(7!2!), the number of ways to place the e's second is 7!/(4!3!), the number of ways to place the s's third is 3!/2!1!, and the number of ways to place the t fourth is 1. When these values are multiplied together, the total number of ways to reorder the letters is 36*35*3*1=3780.
Again placing the letters into positions in a different order. The number of ways to place the e's first is 9!/(4!*5!), the number of ways to place the t second is 5!/(4!*1!), the number of ways to place the s's third is 4!/(2!*2!) and the number of ways to place the n's fourth is 2!/(2!*0!). When these values are multiplied together, the total number of ways to reorder the letters is 126*5*6*1 =3780.
Therefore, the total number of ways to reorder the letters in the word "tennessee" is 3780 in both orders.
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a) 36, 35, 3, 1 ways; b) 126, 5, 6, 1 ways; c) total number of ways to reorder the letters in the word tennessee is 3780 for both a) and b).
(a) If the n's are placed first, 36 ways are there to choose positions for them. If the e's are placed second, 35 ways are there to choose positions for them. If the s's are placed third, 3 ways are there to choose positions for them. If the t is placed fourth, 1 way is there to choose a position for it.
(b) If the e's are placed first, 126 ways are there to choose positions for them. If the t is placed second, 5 ways are there to choose a position for it. If the s's are placed third, 6 ways are there to choose positions for them. If the n's are placed fourth, 1 way is there to choose position for it.
(c) Part (b) is used to find the total number of ways to reorder the letters in the word tennessee, the result is 36*35*3*1=3780. Part (a) is used to find the total number of ways to reorder the letters in the word tennessee, the result is 126*5*6*1 =3780.
What is permutation of rearranging letters?
A permutation is a (possible) rearrangement of objects. For example, there are 6 permutation of rearranging letters a, b, c: abc, acb, bac, bca, cab, cba. a b c , a c b , b a c , b c a , c a b , c b a .
The total number of ways to reorder the letters in the word "tennessee" is calculated by considering the different ways the letters can be placed first, second, third, and fourth. The number of ways to place the n's first is 9!/(7!2!), the number of ways to place the e's second is 7!/(4!3!), the number of ways to place the s's third is 3!/2!1!, and the number of ways to place the t fourth is 1. When these values are multiplied together, the total number of ways to reorder the letters is 36*35*3*1=3780.
Again placing the letters into positions in a different order. The number of ways to place the e's first is 9!/(4!*5!), the number of ways to place the t second is 5!/(4!*1!), the number of ways to place the s's third is 4!/(2!*2!) and the number of ways to place the n's fourth is 2!/(2!*0!). When these values are multiplied together, the total number of ways to reorder the letters is 126*5*6*1 =3780.
Therefore, the total number of ways to reorder the letters in the word "tennessee" is 3780 in both orders.
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Related Questions
how would you work the image attached out
Answers
The ratio of a : b : c : d is 3 : 7 : 2 : 7.
What are the ratios?The ratios are determined as follows from the data given.
The given data is:
7a = 2b
b = (7/2)a.
a and b have no common factors, thus a must be even and b must be odd.
c : d is 2 : 7
For an integer x, c = 2x and d = 7x
a : d is 3 : 1
So for an integer y, a = 3y and d = y
Substituting into 7a = 2b:
7(3y) = 2(7/2)y a
21y = 7y * b
b = 3a
Substituting these expressions for a and b into c : d = 2:7, we get:
2x : 7x = 3 : 1
2x = 3y and 7x = y
y = 14x/3
a : b : c : d = 3y : 7y : 2x : 7x
a : b : c : d = 3(3y) : 3(7y) : 3(2x) : 3(7x)
a : b : c : d = 9y : 21y : 6x : 21x
a : b : c : d = 3 : 7 : 2 : 7
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\(4^3\sqrt{-88}\)
Help I don't know where the negative goes.
Answers
if you meant simplification
\(4^3\sqrt{-88}\implies 64\sqrt{-88}\implies 64\sqrt{(-1)(2^2)(2)(11)}\implies 64(2)\sqrt{(-1)(2)(11)} \\\\\\ 128\sqrt{(2)(11)}\cdot \sqrt{-1}\implies 128\sqrt{22}~i\)
Line m passes through points (10, 4) and (1, 6). Line n passes through points (1, 11) and (10, 9). Are line m and line n parallel or perpendicular
Answers
Answer:
Parallel
Step-by-step explanation:
Answer:
parallel
Step-by-step explanation:
the z-score follows a normal distribution with 1 and 0, which is known as the standard normal distribution.
Answers
Yes, that is correct.
A z-score, also known as a standard score, is a measure of how many standard deviations a data point is away from the mean of a normal distribution. When the mean is 0 and the standard deviation is 1, the normal distribution is known as the standard normal distribution. Z-scores are useful for comparing data points from different normal distributions and for calculating probabilities in a standard normal distribution. For example, a z-score of 1.5 means that the data point is 1.5 standard deviations above the mean of the standard normal distribution.
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Solve for x. Round to the nearest tenth, if necessary.
Answers
The value of x is 3.67 in the given right angled triangle.
What is triangle ?
Triangle can be defined in which it consists of three sides , three angles and sum of three angles is always 180 degrees.
In the given triangle ,
Triangle STU ,
T = 90
S = 69
So, U = 180 - 90-69
U = 180 - 159
U = 21
And US = 10
sin69 = TU/US
sin69 = TU / 10
0.93 = TU/ 10
93 / 100 = TU / 10
93/10 = TU
TU = 9.3
So, in the triangle
as per pythagores theorem ,
SU^2 = ST^2 + TU^2
10*10 = x*x + 9.3*9.3
x*x = 100-86.49
x*x = 13.51
x = 3.67 (Approx)
Hence, The value of x is 3.67 in the given right angles triangle.
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How do you write log2 in exponential form?
Answers
To change logarithmic form to exponential form, spot the logarithmic equation's base and move the base to another side to the equal sign. Moving the base will make the current number or variable into the exponent.
Do not move something but the base: the other numbers or value will not change sides, and the word "log" will be release.
Log Rules:
1. the first rule is logb(mn) = logb(m) + logb(n)
2. the second rule is logb(m/n) = logb(m) – logb(n)
3. the third rule is: log b (mn) = n · logb(m)
1. Multiplication can be turned outside the log into addition and vice versa can be turned.
2. Division can be spin outside the log into a subtraction, and vice versa.
3. An exponent can be proceeded as a multiplier outward on all within a log, and vice versa.
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5 is to 22 as 20 is to what number?
○ 88
○ 66
○ 5.5
○ 4.5
Answers
Answer:
88
Step-by-step explanation:
Find the relationship between the numbers;
22÷5=4.4
Therefore,
20×4.4=88
Just a bored teen willing to help,
hope you're having a splendiferous day...
4. A boat traveled 32 miles in 2 hours. At this rate, how many miles will the boat travel in hour?
04
A. 8 mi
B. 16 mi
C. 3 mi
D. 4 mi
Answers
Answer:
The boat will travel 16 miles in 1 hour (B)
Step-by-step explanation:
Find unit rate
32/2
Which is 16
and therefore 16/1
(a) Find the number of integers in the set{1,2,...,120} that are divisible by at least one of 2, 3, 5, and 7. (b) How many of the integers counted in (a) are primes? (c) Of the integers in {1, 2,..., 120} that were not counted in (a), the only one which is not a prime is 1. Explain why all of the others are primes. (d) Use the foregoing results to determine the number of primes s 120.
Answers
( A )- We use the inclusion-exclusion principle to find the total number of integers in the set that are divisible by at least one of 2, 3, 5, or 7. The result is 104.
( B-) There are 48 primes in the set of integers that are divisible by at least one of 2, 3, 5, or 7.
(C-) n must be greater than 120, which means that all composite numbers in the set 1, 2,..., 120 that were not counted in part (a) must be divisible by at least one of 2, 3, 5, or 7.
(a) The number of integers in the set 1, 2,..., 120 that are divisible by at least one of 2, 3, 5, and 7 can be found using the principle of inclusion-exclusion. We first find the number of integers that are divisible by each individual prime factor:
Number of integers divisible by 2: 60
Number of integers divisible by 3: 40
Number of integers divisible by 5: 24
Number of integers divisible by 7: 17
Next, we find the number of integers that are divisible by each pair of prime factors:
Number of integers divisible by 2 and 3: 20
Number of integers divisible by 2 and 5: 12
Number of integers divisible by 2 and 7: 8
Number of integers divisible by 3 and 5: 8
Number of integers divisible by 3 and 7: 5
Number of integers divisible by 5 and 7: 3
We continue in this way to find the number of integers that are divisible by three prime factors, four prime factors, and so on. Finally, we use the inclusion-exclusion principle to find the total number of integers in the set that are divisible by at least one of 2, 3, 5, or 7. The result is 104.
(b) To find the number of primes in the set of integers that are divisible by at least one of 2, 3, 5, or 7, we need to exclude all composite numbers. We can do this by subtracting the number of integers that are divisible by two or more of 2, 3, 5, and 7 from the total number of integers found in part (a):
Number of integers divisible by 2 and 3: 20
Number of integers divisible by 2 and 5: 12
Number of integers divisible by 2 and 7: 8
Number of integers divisible by 3 and 5: 8
Number of integers divisible by 3 and 7: 5
Number of integers divisible by 5 and 7: 3
Number of integers divisible by 2, 3, and 5: 4
Number of integers divisible by 2, 3, and 7: 2
Number of integers divisible by 2, 5, and 7: 2
Number of integers divisible by 3, 5, and 7: 1
Therefore, there are 48 primes in the set of integers that are divisible by at least one of 2, 3, 5, or 7.
(c) Of the integers in 1, 2,..., 120 that were not counted in part (a), the only one that is not prime is 1. To see why all of the others are primes, consider any composite number n that is not divisible by 2, 3, 5, or 7. By the fundamental theorem of arithmetic, n can be written as a product of primes, none of which are 2, 3, 5, or 7. But since n is composite, it must have at least one prime factor other than 2, 3, 5, or 7. Therefore, n must be greater than 120, which means that all composite numbers in the set 1, 2,..., 120 that were not counted in part (a) must be divisible by at least one of 2, 3, 5, or 7.
(d) Using the results from parts (b) and (c), we can find the total number
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The shape below is made of two rectangles joined together.
3 cm
4 cm
6 cm
6 cm
15 cm
Find the total area of the shape.
Optional working
Answer:
+
cm²
Answers
The total area of the shape is equal to 102 cm².
How to calculate the area of a rectangle?Mathematically, the area of a rectangle can be calculated by using this formula:
A = LW
Where:
A represents the area of a rectangle.W represents the width of a rectangle.L represents the length of a rectangle.Next, we would determine the area of this irregular shape in parts as follows;
Area of rectangle 1 = 15 × 6
Area of rectangle 1 = 90 cm²
Area of rectangle 2 = 4 × 3
Area of rectangle 2 = 12 cm²
Total area of irregular shape = 90 + 12
Total area of irregular shape = 102 cm²
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3. Shown is a rectangular based pyramid. The apex E is directly over the centre E of the base. B 8cm 10cm с 5cm D AD = 8cm CD = 5cm CE = 10cm a. Calculate the height of the pyramid b. Calculate the angle EBD
Answers
The height of the pyramid is 6 cm and the angle EBD is 36.87 degrees
Calculate the height of the pyramidFrom the question, we have the following parameters that can be used in our computation:
AD = 8cm CD = 5cm CE = 10cm
Given that the apex E is directly over the centre, we have
Height (h^2) = CE^2 - AD^2
So, we have
h^2 = 10^2 - 8^2
This gives
h = 6
Calculate the angle EBDHere, we can use the definition of tangent which is represented as
tan(EBD) = h/AD
So, we have
tan(EBD) = 6/8
tan(EBD) = 0.75
Take the arctan of both sides
EBD = 36.87
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An athlete runs 500 meter in 2 minutes. how many minutes will it take the athlete to run 600 meter
Answers
It would take the athlete 2.4 minutes to run 600 meters.
An athlete runs 500 meters in 2 minutes.
The athlete’s speed per minute (or rate) can be determined using the formula: Speed = Distance / Time
Thus, the athlete’s speed = 500 meters / 2 minutes = 250 meters/minute
To find out how long it would take the athlete to run 600 meters at this speed, we can rearrange the formula above to: Time = Distance / Speed
So the time taken by the athlete to run 600 meters at this speed would be:Time = 600 meters / 250 meters/minute
Time = 2.4 minutes
Therefore, it would take the athlete 2.4 minutes to run 600 meters. This is calculated by dividing 600 meters by the athlete's speed which is 250 meters per minute.
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The position vector r describes the path of an object moving in the xy-plane. Position Vector Point r(t) = t2i + tj (4,2) (a) Find the velocity vector, speed, and acceleration vector of the object. v(t) = s(t) = a(t)
Answers
The velocity vector is v(t) = 2ti + j, the speed is s(t) = sqrt(4t^2 + 1), and the acceleration vector is a(t) = 2i.
To find the velocity vector, speed, and acceleration vector of the object, we differentiate the position vector with respect to time.
Given the position vector r(t) = t^2i + tj, we can differentiate it to find the velocity vector v(t) and acceleration vector a(t):
Velocity vector v(t):
Taking the derivative of r(t) with respect to t, we get:
v(t) = dr/dt = d/dt(t^2i + tj) = 2ti + j
Speed s(t):
The speed is the magnitude of the velocity vector. So, we calculate the magnitude of v(t):
s(t) = |v(t)| = |2ti + j| = sqrt((2t)^2 + 1) = sqrt(4t^2 + 1)
Acceleration vector a(t):
Taking the derivative of v(t) with respect to t, we get:
a(t) = dv/dt = d/dt(2ti + j) = 2i
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Puzzle 5
Can you find the slope-intercept equation of each line and type the correct
code? Please remember to type in ALL CAPS with no spaces. *
Puzzle #5
12
answer choices
A: B: C:
y = 4x - 4y = x +1 ly = 2x +1
D: E:
F: 1
Y = 3x - 4y = -2x+3y=x+1
G: 1 H:
I:
yox + 3
3
2
v=3*-45
1
2
3
-4 -3 -2 -1
-1
4
13
Type the 4
letter code into
the answer
box All CAPS,
no spaces
-2
-3
4
Your answer
Back
Next
Answers
The required equation of green and blue line is y = 3x- 4 and y = x+1
Equation of a lineThe standard equation of a line is expressed as y = mx + b
where;
m is the slope
b is the y-intercept
Note that the y-intercept is the point where the line cuts the y-axis
From the graph, the y-intercept of the green line is 3 while that of the blue is 1. This shows that the required equation of green and blue line is y = 3x- 4 and y = x+1
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Six more than four times a number is equal to eight added to three times the same number. Find the number
Answers
6+4x=8+3x
-3x -6
x=2
the number is 2
Someone please please help help me please please ASAP with my work
And NO LINKS or FILES
Answers
Answer:
1.
Blank 1: y
Blank 2: x
2.
Blank 1: x
Blank 2: y
Step-by-step explanation:
The reflection of a point along y-axis means the y value stays the same and the x-value changes its sign.
Blank 1: y
Blank 2: x
The reflection of a point along x-axis means the x value stays the same and the y-value changes its sign.
Blank 1: x
Blank 2: y
Jenna's brother borrowed $200 from her to buy a tablet. She will charge him 3% simple interest. Her brother says he will pay her back in 6 months. What is the total amount he will pay back?
Answers
Answer:
personally I believe its 6..
Step-by-step explanation:
10% of 200 is 20. if 10% is 20 then each part would equal 2. 2×3 is equal to 6
Answer:
$203
Step-by-step explanation:
To find the cost he pays back you need to mulitply 200 x 3% x 6 months.
Because you can't multiply with different units, you convert them to the same unit. (Numeric form)
To convert, we divide 3% by 100 and get 0.03
6 MONTHs is equal to 1/2 of a year which is also 0.5.
Now that all of our numbers are using the same units, we can multiply.
200(0.03)(0.5)
200 x 0.03 is 6
6 x 0.5 is 3.
We need to add the total amount her brother pays her back and the interest.
He pays her $200 for the Tablet and gives her $3 for the interest.
200+3=203.
The American Heart Association recommends that you consume less
than 1500 milligrams of sodium per day. Today you have already taken
in 400 milligrams of sodium. Write and solve an inequality that represents
the additional amount of sodium you can consume.
Answers
The inequality that represents the additional amount of sodium you can consume is x< 1100, where x is the additional consumption.
What is an inequality and how to solve it ?An inequality is a statement that compares two expressions we can solve an inequality by adding same number to both sides or by subtracting same number from both side. While adding or subtracting the sign of the inequality will not change .
Given that American Heart Association recommends that you consume less than 1500 milligrams of sodium per day
∴ total consumption per day < 1500 milligram
400 milligrams of sodium is already taken today and let x be the additional amount that can be consumed today
Total consumption today will be 400+ x milligrams
∴ (400+x) < 1500
Subtracting 400 from both sides
⇒ x<1500-400 = 1100
Therefore, the additional amount of sodium that can be consumed today must be less than 1100 milligrams today.
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what is the equation of this line
a. y = -3/2x+9
b. y = -2/3x+18
c. y = 2/3x+6
d. y = 3/2x+6
Answers
Answer:
A. y = -3/2x + 9
Step-by-step explanation:
In slope intercept form (y = mx + b), b represents the y-intercept. Therefore, simply look on the graph where the line intersects with the y-axis. In this case, that is all that was needed since we can clearly see that equation A is the only one with a y-intercept of 9.
Answer:
a
Step-by-step explanation:
any two points on the line are
(0,9 ) and (4,3)
slope=(3-9)/(4-0)=-6/4=-3/2
y intercept is 9
so eq. of line is y=-3/2x+9
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Answers
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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John's son will start college in 10 years. John estimated a today's value of funds to finance college education of his son as $196,000. Assume that after-tax rate of return that John is able to earn from his investment is 8.65 percent compounded annually. He does not have this required amount now. Instead, he is going to invest equal amounts each year at the beginning of the year until his son starts college. Compute the annual beginning of-the-year payment that is necessary to fund the estimation of college costs. (Please use annual compounding, not simplifying average calculations).
Answers
John needs to make an annual beginning-of-the-year payment of approximately $369,238.68 to fund the estimated college costs of $196,000 in 10 years, given the after-tax rate of return of 8.65% compounded annually.
To compute the annual beginning-of-the-year payment necessary to fund the estimated college costs, we can use the present value of an annuity formula.
The present value of an annuity formula is given by:
P = A * [(1 - (1 + r)^(-n)) / r],
where P is the present value, A is the annual payment, r is the interest rate per period, and n is the number of periods.
In this case, John wants to accumulate $196,000 in 10 years, and the interest rate he can earn is 8.65% compounded annually. Therefore, we can substitute the given values into the formula and solve for A:
196,000 = A * [(1 - (1 + 0.0865)^(-10)) / 0.0865].
Simplifying the expression inside the brackets:
196,000 = A * (1 - 0.469091).
196,000 = A * 0.530909.
Dividing both sides by 0.530909:
A = 196,000 / 0.530909.
A ≈ 369,238.68.
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WILL MARK BRAINLIEST!! EASY 25 POINTS!! DUE IN 20 MINUTES!!
A quadratic equation can be written in the form y = a(x – 5)2 + k, where (h, k)
is the vertex of the parabola. This form can be used to determine the minimum y-
value of the related function. Which is the minimum y-value of
y = 5x2 – 20x + 24?
A: -20
B: 2
C: 4
D: 16
Answers
Answer:
C. 4Step-by-step explanation:
Given function:
y = 5x² – 20x + 24Convert the equation into vertex form:
y = 5x² - 20x + 20 + 4 = 5(x² - 4x + 4) + 4 = 5(x - 2)² + 4Vertex is (2, 4) at which the minimum y-value is 4
Correct choice is C
y ∝ 1 √ x If y = 7 when x = 36 find, y when x = 4
Help please
Answers
Answer:
Yo Rick Astley
Step-by-step explanation:
y ∝ 1 √ x
y = k (1 √ x)
y = 7 when x = 36
7 = k ( 1 / √36)
7 = k (1/6)
k= 7 × 6
k = 42
If x = 4 then,
y = 42 ( 1/√4)
y = 42 ( 1/2)
y= 21
How do you solve for x/3 - x/5
Answers
Answer:
x/3 - x/5 = 2/15x
Step-by-step explanation:
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Harry tosses a nickel 4 times. The probability that he gets at least as many heads as tails is.
Answers
HHHH, 0 tails and 4 heads
HHHT, 1 tails and 3 heads
HHTH, 1 tails and 3 heads
HHTT, 2 tails and 2 heads
HTHH, 1 tails and 3 heads
HTHT, 2 tails and 2 heads
HTTH, 2 tails and 2 heads
HTTT, 3 tails and 1 heads
THHH, 1 tails and 3 heads
THHT, 2 tails and 2 heads
THTH, 2 tails and 2 heads
THTT, 3 tails and 1 heads
TTHH, 2 tails and 2 heads
TTHT, 3 tails and 1 heads
TTTH, 3 tails and 1 heads
TTTT, 4 tails and 0 heads
Eleven of these outcomes have a head-to-tail ratio of at least one head for every two tails. Therefore, there is an 11/16 chance of getting at least as many heads as tails.
Pls explain your answer. Thanks in advance. I will mark brainliest if u explain
Answers
Step-by-step explanation:
Using Trigonometry,
tan33° = Opposite/Adjacent = GF/DF.
Therefore GF = DF * tan33°
= 235tan33° = 152.6.
Angle GEF = Angle EDG + Angle DGE
= 33° + 34° = 67°. (Exterior Angle Theorem)
Using Trigonometry,
sin67° = Opposite/Hypotenuse = GF/EF.
Therefore EF = GF / sin67°
= 152.6 / sin67° = 165.8.
Hence the answer is the 1st option.
Answer:
the answer is A. GF =152.6 and EG=165.8
GF= 235*(tan(33))
EG= 152.6/(sin(67))
Rafael has 118 baseball cards arranged in an album. Each page of the album can hold 9 cards. How many pages are full and how many cards are on the last page?
Answers
Answer:
Dear user,
Answer to your query is provided below
Pages full = 13
Card on last page = 1
Step-by-step explanation:
Rafael has 118 baseball cards.
Each album can hold 9.
So, using multiples of 9 or by dividing 118/9
That 1 is remainder.
So, cards on last page is 1
Verify ,
Pages full = (118-1)/9 = 13
An expression is shown.
4 · (−12)
Select all equivalent expressions.
• -7-6
• -12.4
• -12-(-4)
• 8-(-6)
• −3 - 16
Answers
Expression: 4*(-12)= -48
-7-6= -13
Equivalent: -12*4= -48
8-(-6)= 14
-3-16= -19
A ladder is 61 inches tall. How tall is it in feet and inches
Answers
Answer:
5'1
Step-by-step explanation:
Every 12 inches is a foot. 12 x 5 is 60. Plus 1. Is 61.
That mean's it's 5 feet 1 inch.
Answer:
5 feet 1 inch
Step-by-step explanation:
because 12 inches is equal to 1 foot and 12 times 5 is 60 so that 5 feet plus one inch is 5 foot 1 inch
16) Long John had 100 bags of silver. Each bag contained 9 3/4 lb. How much silver did he
have altogether?
Answers
Answer:
975 lbs.
Step-by-step explanation:
9 3/4 = 9.75
9.75 × 100 = 975