Answer:
x = y = 6√6z = 6√3Step-by-step explanation:
For problems like these, it is helpful to remember the ratios of the side lengths in these special triangles.
45°-45°-90° triangle: 1 : 1 : √2
30°-60°-90° triangle: 1 : √3 : 2
__
This means ...
z : 18 : horizontal line = 1 : √3 : 2
z = 18/√3 = 6√3
horizontal line = 2(6√3) = 12√3
__
And ...
x : y : horizontal line = 1 : 1 : √2
x = y = (horizontal line)/√2 = (12√3)/√2 = 6√6
_____
Additional comment
The lengths are easily found as values with a square root in the denominator. Generally, we want the denominator to be a rational number, so we make use of the fact ...
1/√n = (√n)/n
ANSWER ASAP DONT SEND A FILE. WHAT IS THE TRANSFORMATION??
Answer:
1st one.
Step-by-step explanation:
Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
Need Help
Answer: -27
Step-by-step explanation: Use inductive reasoning to predict the most probable next number in the list.
3, 9, -3, 3, -9, -3, -15, -9, -21, ?
We can start by looking at the differences between consecutive terms in the list:
9 - 3 = 6 -3 - 9 = -12 3 - (-3) = 6 -9 - 3 = -12 -3 - (-9) = 6 -15 - (-3) = -12 -9 - (-15) = 6 -21 - (-9) = -12
Notice that the differences alternate between positive 6 and negative 12. This suggests that the pattern involves adding 6, then subtracting 12, and then adding 6 again. Applying this pattern to the last term in the list (-21), we get:
-21 + 6 = -15 -15 - 12 = -27 -27 + 6 = -21
Therefore, we predict that the most probable next number in the list is -27.
3 pair of pants dry clean for $18, is this a proportional equation
Answer: I think tHt is not because if they were to be 5 pants then it would be reaseanoble
Step-by-step explanation:
Answer:
no its not
hope that helped :)
Find the value of X.
Answer:
x = 36
Step-by-step explanation:
Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.
RelationThe product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.
24² = 12(12 +x)
2·24 = 12 +x . . . . . . . divide by 12
36 = x . . . . . . . . . subtract 12
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help please i will mark brianliest
Answer:
12, 20, 28
Step-by-step explanation:
You simply have to add 4 to the given r-value to reach the s value. 8+4=12, 16+4=20, and 24+4=28.
please help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
60
Step-by-step explanation:
1, Extand line y for which y intercepts CB at point K
2, line y is a straight line and thus KAB=180-110=70
3, AY parallel to CX thus angle CKA=130 which is a alternative angle of BCX (if you can't see then try to extend CX as well
4,BKA=180-130=50 as BC is a straight line
5, the sum of interior angle of a triangle is 180, and we have KAB and BKA, thus angle ABC = 180-KAB-BKA=180-70-50=60
Select the correct answer from each drop-down menu.
Consider right triangle ABC.
A triangle ABC has right angle at B is shown. Base AB has length labeled 40 units. Height BC has length labeled 9 units, and hypotenuse AC has length 41 units.
Answer:
By using trigonometric relations, we will see that:
AC = 15.6 in
AB = 8.4 in.
How to get the measures of the other two sides of the right triangle?
Here we have the right triangle where:
B = 90°
C = 40°
BC = 10 in.
Notice that is the adjacent cathetus to the angle C, then we can use the two relations:
sin(a) = (adjacent cathetus)/(hypotenuse).
tan(a) = (opposite cathetus)/(adjacent cathetus).
Where:
hypotenuse = AC
opposite cathetus = AB.
Then we will have:
sin(40°) = 10in/AC.
AC = 10in/sin(40°) = 15.6 in
tan(40°) = AB/10in
tan(40°)*10in = AB = 8.4 in.
So we can conclude that for the given right triangle we have:
AC = 15.6 in
AB = 8.4 in.
If you want to learn more about right triangles:
Step-by-step explanation:
If Jose earned 145.60 for 7 hours, how many hours would he have to work to earn $83.20?
Answer:
4 hours
Step-by-step explanation:
Each hour: 145.60/7 = 20.80
83.20/20.80 = 4
I need help with the 2 questions. What is the mean age of the employees to the nearest year?
What is the median age of the employees?
graph the solution set of the inequality on the number line
The question requires you to graph inequalities
The inequalities are :
\(4(x-3)\text{ - }9\text{ }\leq10-7-6x+2x\)open brackets on the left-hand side and collect like terms
\(4x-12-9\leq10-7-6x+2x\)\(4x-21\text{ }\leq3-4x\)\(4x+4x\leq3+21\)\(8x\leq24\)\(x\leq\frac{24}{8}\)\(x\leq3\)The final inequality equation to graph is ;
\(x\leq3\)I need the answers for the table below.
The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively
Given the function :
tan(πx)/7xSubstitute the given value of x to obtain the corresponding f(x) values :
x = -0.6
f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358
x = -0.51
f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350
x = -0.501
f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967
x = -0.5
f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959
x = -0.4999
f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958
x = 0.499
f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951
x = -0.49
f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188
x = -0.4
f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125
Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013
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using the data on this scatter plot
Answer:
\( - 8(45) + 482 = - 360 + 482 = 122\)
30 points !!!
Plz help
Answer:
Step-by-step explanation:
If 9% of a number is 75, find 3% of that number.
Answer:
its 3
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
3% is a third of 9% to find the answer you simply need to divide 75 by three, which gives you 25.
A wire is 71cm long . you wish to cut it into two pieces. One piece is bent into shape of triangle with legs of equal length .The piece is to be bent into shape of circle .
To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)
The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)
The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)
Solving for\(\(x\),\) we divide both sides of the equation by 3:
\(\(x = \frac{71}{3}\).\)
Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.
The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:
\(\(x = 2\pi r\).\)
Substituting the value of x we found earlier, we have:
\(\(\frac{71}{3} = 2\pi r\).\)
Solving for r, we divide both sides of the equation by \(\(2\pi\):\)
\(\(r = \frac{71}{6\pi}\).\)
Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.
In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.
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Which amount of time is greater for the average person? The total time spent on his/her cell phone in a year’s time, or the total time spent waiting in line when shopping in a lifetime?
Consider it to be 2 separate problems and arrive at your conclusion.
You need to make assumptions, conversions, and math calculations to arrive at your answer. If you choose to research data for this project, that is fine but there is no need to site your references.
The total time spent on his/her cell phone in a year’s time is less than the total time spent waiting in line when shopping in a lifetime.
x= 1825 hrs
z=4929.4 hrs.
This is further explained below.
Which amount of time is greater for the average person?let's say on average a person spends 5 hours on a mobile phone.
Individual annual mobile phone use time.
x= 5x365
x= 1825 hrs
let's consider an average every day a person, spent 5 minutes in the queue when shopping.
Take the average person. 70-year life for a person.
Hence in a year, he spent
y=365x5 mints
y=1825 min
y=30.42 hrs
Hence lifetime time spent on line
z = 70 x 30.42
z=4929.4 hrs.
In conclusion, we estimate that the typical individual will spend z=4929.4 hours waiting in line for merchandise throughout the course of their lifetime.
z=4929.4 hrs.
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g(x) = (2x+3)^1/2 ×(x^5-7)
What is 0.06 × 102? (6-1)
Answer:
I believe the answer is 6.12.
Step-by-step explanation:
I used a calculator
Calculate than round to the nearest 2 decimal places. Is it possible to get his GPA up to a 3.0 by graduation?
The overall GPA is calculated by dividing the total grade points by the number of credit hours attended. Therefore, we need to calculate the total sum of the grade points by multiplying the GPA by the total number of credit hours:
For the 105 credit hours we have:
\(\begin{gathered} g_1=(2.78)(105) \\ g_1=291.9 \end{gathered}\)Now we calculate the grade points for the last semester:
\(\begin{gathered} g_2=(4)(15) \\ g_2=60 \end{gathered}\)Now we add both grades to get the total number of grade points:
\(\begin{gathered} g=291.9+60 \\ g=351.9 \end{gathered}\)Now we divide the total grade points by the total number of credit hours:
\(\begin{gathered} \text{GPA}=\frac{351.9}{105+15} \\ \text{GPA}=\frac{351.9}{120} \\ \text{GPA}=2.9 \end{gathered}\)Therefore, the overall GPA is 2.9.
It is impossible to get a 3.0 GPA because the maximum possible GPA is 4.0 and that is what we use in the calculation
What is the volume, to the nearest whole cubic inch, of a cylinder with a height of 10 inches and a radius of 8 inches?
Use = 3.14 and round your answer to the whole number
can you please solve?
The equation of the line is y = (2/3)x + 20/3.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation has:
Slope = 2/3
Passes through the line (-4, 4).
Now,
The equation of the line is y = mx + c.
m = 2/3
Consider (-4, 4) = (x, y)
So,
4 = (2/3)(-4) + c
4 = -8/3 + c
c = 4 + 8/3
c = (12 + 8) / 3
c = 20/3
Now,
y = (2/3)x + 20/3
Thus,
The equation of the line is y = (2/3)x + 20/3.
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Show what a monomial expression looks like
Give me a monomial expression and solve it, step-by-step, thoroughly, show your work and explain with each step how your doing it
(New to this, thanks in advance for the extra help!!!)
Answer:
Refer to the step-by-step explanation.
Step-by-step explanation:
Come up with a monomial expression and solve it.
What is a monomial expression?A monomial expression is an algebraic expression that consists of a single term. It is an expression that can contain variables, constants, and non-negative integer exponents, but there should be no addition or subtraction between different terms.
Here are a few examples of an monomial expression:
5x-2xy²3a⁵7m³n²\(\hrulefill\)
Let's work with the monomial expression, 3x²y³z.
To solve this expression, I assume you would like to evaluate it for specific values of the variables x, y, and z. So let x=3, y=2, and z=1.
Plug these values into the expression:
3x²y³z
=> 3(3)²(2)³(1)
=> 3(9)(8)(1)
=> 27(8)(1)
=> 216(1)
=> 216
Thus, the expression is solved.
50 points for 3 questions. solve and explain please.
(1) The value of x is determined as 16.8.
(2) The measure of length VX is calculated as 4.1.
(3) The measure of angle UWV is 69.5⁰.
What is the value of the missing lengths of the triangle?
The value of the missing lengths of the triangle is calculated by applying the following formula;
(1) For the two similar triangles, the value of x is calculated as follows;
20 / (28 - x) = 30 / x
20x = 30 (28 - x )
20x = 840 - 30x
20x + 30x = 840
50x = 840
x = 840 / 50
x = 16.8
(2) The measure of length VX is calculated by applying trig ratios.
tan 63 = 8 / VX
VX = 8 / tan 63
VX = 4.1
(3) The measure of angle UWV is calculated as follows;
angle T = 360 - (94 + 127) = 139
angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)
angle UWV = 69.5⁰
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8. The annual interest rate is 22%. The balance after the grace period was $30,000. A
payment of $1,000 was made on the 6th day. Another payment of $1,000 was made on the
21st day. What is the interest for the month?
Answer:
$524.32
Step-by-step explanation:
in order to calculate this we must use calculate daily interest:
interest portion of first payment = (5 days / 365) x 0.22 x $30,000 = $90.41
principal = $30,000 - ($1,000 - $90.41) = $29,090.41
the interest portion of second payment = (15 days / 365) x 0.22 x $29,090.41 = $263.01
principal = $29,090.41 - ($1,000 - $263.01) = $28,353.42
the interest for the remaining part of the month (assuming a 30 day month) = (10 days / 365) x 0.22 x $28,353.42 = $170.90
total interest charge for the month = $90.41 + $263.01 + $170.90 = $524.32
What is the degree of the polynomial, y^2+7x^14-10x^2?
The degree of the polynomial is 14
How to determine the degree of the polynomial?The polynomial is given as:
y^2+7x^14-10x^2
Here, we assume that the variable of the polynomial is x
The highest power of x in the polynomial y^2+7x^14-10x^2 is 14
Hence, the degree of the polynomial is 14
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can someone help me?
(if you can show your work that would be nice).
Answer:
1. x1=15.75.
2. 24/48=0.5
3. 24/25=0.96
Step-by-step explanation:
1. 15.75/18=0.875
2. you multiply 48 times 0.5 to find 24.
3. multiply 0.96 with 25 to get 24.
PLEASE HELP!!
The blue dot is at what value on the number line?
Pictrure Below:
Evaluate 2 ∙ (8 + 4) using the steps of order of operations. plese due in 5 help
Answer:
24
Step-by-step explanation:
Do the equation in the () first, 8+4 = 12, and 12 x 2 = 24
What is the 24th term of -21, -14,-7,0,7,…
Answer:
140
If that's wrong, try 147
Step-by-step explanation:
With this brief sequence of numbers, we can see that the function is linear, and increases by 7 each term, with the first term at -21, and therefore, the "0th" term, or the y-intercept, at -28. With this information we can create a function in slope intercept form (y=mx+b):
\(y=7x-28\\\),
where our m (slope) is 7, and our b (y-intercept) is -28.
If this doesn't make sense, then the easiest way is to just keep adding seven to the previous number until you get to the 24th term.
Hope this helps!
If a storage tank is holding 450 litres when it is three quarters full, how much will it contain when it is two thirds?
Answer:
400 litres
Step-by-step explanation: