Step-by-step explanation:
the area of a triangle is always :
baseline × height / 2
the height is the line from the vertex opposite of the line we choose to be baseline to the baseline in a right (90°) angle.
and yes, that applies also to heights that actually land outside the triangle, like in this example.
so, the baseline here is 11, the height is 7.
the area is :
11 × 7 / 2 = 77/2 = 38.50
Help me out True or false questions
Answer:
A. false
b. true
c. false
Step-by-step explanation:
at ghs the ratio of students to teachers is about 14.5 to 1 approximately how many teachers would there be if the school had an enrollment of 205 students
Answer:
14
Step-by-step explanation:
14.5 to 1
205/14.5 = 14
Find the midpoint of the line segment with the given endpoints.6) (-7, -10), (-2, -3)(separate questions)7) (-4,-3), (8, 2)
Given:
The endpoints are
6) (-7, -10), (-2, -3)
7) (-4,-3), (8, 2)
Required:
We need to find the midpoint of the given endpoints.
Explanation:
Consider the midpoint formula.
\(M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)6)
Consider the points (-7, -10), and (-2, -3).
\(Substitutte\text{ }x_1=-7,x_2=-2,y_1=-10,\text{ and }y_2=-3\text{ in the formula.}\)\(M=(\frac{-7+(-2)}{2},\frac{-10+(-3)}{2})\)\(M=(\frac{-7-2}{2},\frac{-10-3}{2})\)\(M=(\frac{-9}{2},\frac{-13}{2})\)\(M=(-4.5,-6.5)\)7)
Consider the points (-4,-3), and (8, 2).
\(Substitutte\text{ }x_1=-4,x_2=8,y_1=-3,\text{ and }y_2=2\text{ in the formula.}\)\(M=(\frac{-4+8}{2},\frac{-3+2}{2})\)\(M=(\frac{-4+8}{2},\frac{-3+2}{2})\)
The GCF of 15 and 27 is _____.
Answer:
The answer is 3
Step-by-step explanation:
List all prime factors
15:1,3,5,
27:1,3,
Biggest one is 3
Answer:
the answer is 3
Step-by-step explanation:
cuz the prime factors of 27 is 1,3,and 27
while 15 is 1, 3 ,5 and 15
I hope this helps
Kaylib’s eye-level height is 48 ft above sea level, and Addison’s eye-level height is 85 and one-third ft above sea level. How much farther can Addison see to the horizon? Use the formula d = square root 3h/2, with d being the distance they can see in miles and h being their eye-level height in feet.
Answer is \(2\sqrt{2}\) mi
Given,
Kaylib’s eye-level height is 48 ft
Addison’s eye-level height is 85 and one-third ft above sea level.
From the formula d= \(\sqrt{3h/2}\),
get the difference as:
\(d=\sqrt{(3*(85+1/3))/2} - \sqrt{(3*48)/2}\)
=\(\sqrt{256/2} - \sqrt{3*24}\)
=\(\sqrt{128} - 6\sqrt{2}\)
=\(8\sqrt{2} - 6\sqrt{2}\)
d=\(2\sqrt{2}\)
Therefore, Addison sees \(2\sqrt{2}\)mi to the horizon
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Maricopa's Success scholarship fund receives a gift of $ 200000. The money is invested in stocks, bonds, and CDs. CDs pay 3 % interest, bonds pay 5.5 % interest, and stocks pay 11.9 % interest. Maricopa Success invests $ 50000 more in bonds than in CDs. If the annual income from the investments is $ 14480 , how much was invested in each account?
On solving the question, we got that - Maricopa Success invested $45000 in stocks, Maricopa Success invested $75000 in bonds and Maricopa Success invested $50000 in CD's.
What is equation?A theorem of equality between two expressions consisting of equations, variables and/or numbers. Essentially, equations are problems, and the development of mathematics has been driven by attempts to find answers to these problems in a systematic way. The equations vary in complexity from simple algebraic equations (containing only addition or multiplication) to differential, exponential equations (containing exponential terms), and integral equations. They are used to express many of the laws of physics. See also system of equations.
Equations -
s + b + C = 170000
11.4s + 4.4b + 3.25C = 1005500
b = C + 25000
And,
Rearrange::
s + b + C = 170000
1140s + 440b + 325C = 100550000
0 + b - C = 25000
Now,
Use any method you know to solve the system to get:
stocks = 45000
bonds = 75000
CD's = 50000
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Solve for y. 2(y-2) -6y=-28
Answer:
y = -8
Step-by-step explanation:
2(y-2)- 6y-28 = 0
2y - 4 -6y - 28 = 0
-4y = 32
y = -8
Mathematics
Find the rate
What percent of 200 is 50?
What percent of 50 is 40?
What percent of 10 is 6?
200 is what percent of 200?
What percent of 800 is 200?
Show your solution, HELP PLS ASAP!!!
I'LL GIVE 20 POINTS!!
Answer:
Step-by-step explanation:
25%
80%
60%
100%
25%
The mass of a neutron is approximately 1.674927 × 10^−27 kg. Recall that the mass of a proton is 1.672622 × 10^−27 kg. Explain which is heavier.
Answer:
The mass of the deuteron = mass of the proton + mass of the neutron + mass equivalent of the energy of 2.2 Mev evolved.
I amu = 931 Mev
2.2 Mev = 2.2 / 931 amu
= ( 2.2 / 931 )x 1.6726 x 10⁻²⁷
= .00395 x 10⁻²⁷
The mass of the deuteron =( 1.6726 + 1.6749 + .00395)x 10⁻²⁷ kg
= 3.35145 x 10⁻²⁷ kg
b ) Momentum of gamma ray
= h / λ ( h is plank's constant and λ is wavelength of gamma ray )
= hυ / υλ ( υ is frequency of gamma ray )
= E / c ( E is energy of photon and c is velocity o light )
= 2.2 x 10⁶ x 1.6 x 10⁻¹⁹ J / 3 x 10⁸
= 1.173 x 10⁻²¹ Kg m /s
This will be the momentum of deuteron also
Kinetic energy
= p² / 2m ( p is momentum and m is mass of deuteron )
= ( 1.173 x 10⁻²¹ )² / ( 2 x 3.35145 x 10⁻²⁷)
= 1.376 x ⁻¹⁵ J
Energy of gamma ray
= 2.2 x 10⁶ x 1.6 x 10⁻¹⁹ J
= 3.52 x 10⁻¹³ J
So kinetic energy of deuteron is smaller than energy of gamma ray photon .
Step-by-step explanation:
please help me answer this question thank you
Answer:
A
Step-by-step explanation:
Lamar is considering two loans.
Loan A
Loan B
Principal
$4,500
$4,300
Interest rate
5%
6%
Time in years
3
3
Which loan will have the lowest total payback?
Step-by-step explanation:
know:
Loan A
Principal
$4500
Interest rate
5%
Time in years
3
If 100% => $4500
5% =>X
X = 5% × $4500 ÷ 100% = $225
Loan A = $4500 + $225 = $4725
Loan B
Principal
$4300
Interest
6%
Time in years
3
If 100% => $4300
6% =>X
X = 6% × $4300 ÷ 100% = $258
Loan B = $4300 + $258 = $4558
Loan B has the lowest total payback.
The Loan B has the lowest total payback than the Loan A.
How to calculate the Payback?WE can calculate the payback in both loan as;
Loan A;
Principal = $4500
Interest rate = 5%
Time in years = 3
If 100% => $4500
X = 5% × $4500 ÷ 100%
X = $225
Loan A = $4500 + $225 = $4725
Loan B;
Principal = $4300
Interest = 6%
Time in years = 3
If 100% => $4300
X = 6% × $4300 ÷ 100%
X= $258
Loan B = $4300 + $258 = $4558
Hence, the Loan B has the lowest total payback than the Loan A.
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What shape are cubic graphs?
A cubic graph in the study of graph theory is a graph with all of its vertices having degree three. A cubic graph is a 3-regular graph, to put it another way. Trivalent graphs are another name for cubic graphs.
What is Cubic Graph?
All of the nodes in a cubic graph, also known as a trivalent graph, have degree 3.
A cubic function in mathematics is a function of the form
\({\displaystyle f(x)=ax^{3}+bx^{2}+cx+d}\)
When the variables x accepts real values, the coefficients a, b, c, and d are complex integers, and displaystyle an is equal to 0. In other words, it is a real function as well as a polynomial function of degree three. The set of real numbers is specifically the domain and the codomain.
f(x) = 0 results in the cubic equation shown below;
\(ax^3+bx^2+cx+d=0\)
whose answers are referred to as the function's roots.
All odd-degree polynomials have at least one real root, and a cubic function has one to three real roots.
A cubic function's graph always has one inflection point. It might have a local minimum and local maximum as its two essential points.
A cubic function is monotonic if it is not.
A cubic function's graph is symmetric with regard to its inflection point, which means it is unaffected by a half-turn rotation around this point. For cubic functions, there are only three feasible graphs up to an affine transformation.
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The temperature yesterday morning was 9° below zero. Write
the temperature as an integer.
Answer:
-9
Step-by-step explanation:
because let's just say that 9 below 0 is -9, so it will be -9 degrees.
Mr. Silvano drove 128.6 km each day for 8 days. Then, he drove 44.3 km each day for 12 days. What was the total distance Mr. Silvano drove?
Answer:
Ans: 1559.6km
Step-by-step explanation:
(128.6x8)+(44.3x12)=1559.6km
Answer:1559.6km
Step-by-step explanation:
128.6*8=1,028.8
44.3*12=531.6
1,028+531.6=1559.6km
ILL GIVE BRAINELST
Which of the following are means of cultural
communications?
military symbols
processions
crosses
gestures
songs
bells
laughter
caps and gowns
Answer:
Indeed, cultural communication pertains to the use of language and other communicative means to carry out the activities and commitments of their particular communities in and through the use of symbolic resources. ... Such examples include cultural terms, silence practices, terms of address, rituals, and social dramas.
Help me please. Need answer ASAP!!! Thank you
The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 17 days.In what range would you expect to find the middle 68% of most pregnancies
Answer:
The range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].
Step-by-step explanation:
We are given that the lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 17 days.
Let X = lengths of pregnancies in a small rural village
SO, X ~ Normal(\(\mu=262,\sigma^{2} = 17^{2}\))
Here, \(\mu\) = population mean = 262 days
\(\sigma\) = standard deviation = 17 days
Now, the 68-95-99.7 rule states that;
68% of the data values lies within one standard deviation points.95% of the data values lies within two standard deviation points.99.7% of the data values lies within three standard deviation points.So, middle 68% of most pregnancies is represented through the range of within one standard deviation points, that is;
[ \(\mu -\sigma\) , \(\mu + \sigma\) ] = [262 - 17 , 262 + 17]
= [245 days , 279 days]
Hence, the range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].
For numbers 11-13, refer to the figure below.
Answer:
c, a, a, c, a
Step-by-step explanation:
let me know if you want me to explain everyone, but I think you're more looking for the answer, so here they are(with short explanations)
11.c, 100. Vertical angles are congruent.
12.a, 70. Supplementary=180*. We know that B=110(from drawing). 110+70=180
13.a, 70. We know that a is 70 from question 12. vertical angles are congruent, so c=70
14.c, 90. from the attached image, we see that 12 and 3 makes 90* angle.
15.a, AY. Both have the letters AY in their names.
let me know if im correct!
Which of the following is unique in Inditex SA's value chain?
Only sales staff provide new product ideas.
O Manufacturing facilities are geographically close to headquarters.
O Products are shipped directly to warehouses.
Only designers provide new product ideas.
Therefore , the solution of the given problem of unitary method comes out to be the additional choices are not exclusive to Inditex's value chain and are frequently used by other businesses in the sector.
An unitary method is what?By combining what was learned and implementing this variable technique, which also includes all supplemental information from two people who used a particular tactic, the task can be finished. In other words, if the desired result occurs, either the entity specified expression in the computation will be acknowledged, or both of the expression's crucial processes will actually skip the colour. A refundable fee of Rupees ($1.01) may be needed for forty pens.
Here,
The fact that goods are delivered straight to warehouses distinguishes Inditex SA's value chain from other companies.
As a result, lead periods are shortened and inventory costs are kept to a minimum during the quick and effective distribution of goods to retail stores. Fast fashion is this method, and it has been a major factor in Inditex's success in the fashion sector.
The additional choices are not exclusive to Inditex's value chain and are frequently used by other businesses in the sector.
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There are two numbers that have a sum of 47. Three times the lesser
number is equal to 9 more than the greater number. What are the
numbers?
Answer:
The numbers are 14 and 33---------------
Let the numbers be s and l.
We are given that:
Sum of the two is 47 and 3 times the lesser number is equal to 9 more than the greater number.Set up equations:
s + l = 473s = l + 9Eliminate l:
l = 47 - s and l = 3s - 9Solve for s:
47 - s = 3s - 93s + s = 47 + 94s = 56s = 14Find l:
l = 47 - 14l = 33What percent does the percent bar equal?
Answer:
Where's the photo?
Step-by-step explanation:
I will edit this
The best example of a standardized good would be: a. a handbag. b. corn. c. an autographed baseball. d. breakfast cereal
Answer:
Corn
Step-by-step explanation:
Corn will be the best standarized food because it is the most useful out of all of them
for example: if the world ended right now and we were left with nothing but a single corn we could replant and replant this one corn to stabalize the world and develop quicker than sya if we have breakfast
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A/60
B/45
C/105
The measurement of angle A is
The measurement of angle B is
The measurement of angle Cis
The second pair of points representing the solution set of the system of equations is (-6, 29).
To find the second pair of points representing the solution set of the system of equations, we need to substitute the x-coordinate of the second point into one of the equations and solve for y.
Given the system of equations:
y = x^2 - 2x - 19
y + 4x = 5
Substituting the x-coordinate of the second point (-6) into equation 2:
y + 4(-6) = 5
y - 24 = 5
y = 5 + 24
y = 29
Therefore, the second pair of points representing the solution set of the system of equations is (-6, 29).
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Question
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
y = x2 − 2x − 19
y + 4x = 5
The pair of points representing the solution set of this system of equations is (-6, 29) and
_________.
Find the 3rd term in the expansion of ( 5 � − 7 � ) 3 (5x−7y) 3 in simplest form.
The third term in the expansion of the expression (5x - 7y)³ is 735xy².
Given expression is,
(5x - 7y)³
We have to expand this.
We know that,
(a + b)³ = a³ - 3a²b + 3ab² - b³
Using this,
(5x - 7y)³ = (5x)³ - (3 × (5x)² × 7y) + (3 ×(5x) × (7y)²) - (7y)³
= 125x³ - (3 × 25x² × 7y) + (3 × 5x × 49y²) - 343y³
= 125x³ - 525x²y + 735xy² - 343y³
Here the third term is 735xy².
Hence the third term is 735xy².
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Officially, variable names in Python can be any length and can consist of uppercase and lowercase letters ( A-Z, a-z ), digits ( 0-9 ), and the underscore character ( _ ). An additional restriction is that, although a variable name can contain digits, the first character of a variable name cannot be a digit. Python’s most-followed style guide, PEP8 also suggests we limit each line to 79 characters, so, to be extra careful, we will assume variables can be of at most 7 characters in length.How many variable names can there be in Python if we abide by these two rules?
Abiding by the two rules, the number of variable names we can have in Python are; 63
How to name variables in Python Programming?The rules for python are given as;
1) Variable names in Python can be any length and can consist of uppercase and lowercase letters ( A-Z, a-z ), digits ( 0-9 ), and the underscore character ( _ ).
1b) An additional restriction is that, although a variable name can contain digits, the first character of a variable name cannot be a digit.
2) We limit each line to 79 characters, so, to be extra careful, we will assume variables can be of at most 7 characters in length.
Now, abiding by the two rules above, the number of variable names we can have in Python are;
26( A-Z) + 26(a-z) + 10(0-9) + 1 ( _ ) = 63 variable names
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write down the value of the 1 in 213,456
Step-by-step explanation:
The value of the digit 1 in the number 213,456 is 10,000.
A rectangle has an area of 114cm squared and a perimeter of 50cm. What are the dimensions
If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.
Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².
So, we have:
lw = 114
Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.
So, we have:
2l + 2w = 50
We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:
l = 114/w
We can then substitute this expression for l in the second equation:
2(114/w) + 2w = 50
Multiplying both sides by w to eliminate the fraction, we get:
228 + 2w² = 50w
Rearranging and simplifying, we get a quadratic equation:
2w² - 50w + 228 = 0
We can solve for w using the quadratic formula:
w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5
Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:
l(5) = 114
l ≈ 22.8
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A right triangle is removed from a rectangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit in your answer.
The area of the shaded region is equal to 45 square units.
How to calculate the area of a rectangle?In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:
A = LW
Where:
A represent the area of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.By substituting the given side lengths into the formula for the area of a rectangle, we have the following;
Area of rectangle = 8 × 6
Area of rectangle = 48 square units.
Since the opposite sides of any rectangle are congruent (equal), the legs of the right triangle can be calculated as follows;
L₁ = 8 - 5 = 3 units.
L₂ = 6 - 4 = 2 units.
Area of right triangle = 1/2 × 3 × 2
Area of right triangle = 3 square units.
For the area of the shaded region, we have:
Area of the shaded region = 48 square units - 3 square units.
Area of the shaded region = 45 square units.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Find the equation of the line with the following properties slope does not exist and the
line passes through (-5,-2).
Answer:
y = -2
Step-by-step explanation:
Slope does not exist, meaning that the line is horizontal. Therefore, the equation is just y = -2.
the team to win 3 games wins the playoffs. what is the probability of a team winning a 5 game playoff if it has 50% chance of winning each game
Therefore , the solution of the given problem of probability comes out to be probability of winning a 3 game out of 5 is 0.5 .
What specifically does the probability method entail?Calculating the likelihood that a statement is true or that an event will take place is the focus of probability theory, a branch of mathematics. Any quantity between 0 and 1, whereby 1 frequently represents certainty range 1 and 0 normally denotes possibility, can be used to represent chance. A probability diagram illustrates the likelihood that a particular event will take place.
Here,
Given :
Since,
the probability to win a game is 50% .
So they have to win 3 games ,
and so , the probability to win the game is:
=> 1/2 * 1
=> 0.5
thus,
probability of winning a 3 game out of 5 :
=> 0.5
Therefore , the solution of the given problem of probability comes out to be probability of winning a 3 game out of 5 is 0.5 .
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