Find the perimeter of right triangle WXY if the radius of the circle is 4 units and WY = 20 units.
Answers
The perimeter of the right triangle WXY is 60 units.
Explanation:To find the perimeter of a right triangle WXY, we need to know the lengths of the two legs. Given that the radius of the circle is 4 units and WY is 20 units, we can determine that the hypotenuse, XY, is equal to 20 units. So the perimeter of the triangle is the sum of the lengths of its three sides: 20 + 20 + 20 = 60 units.
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We calculate the perimeter of the right triangle by first finding the lengths of the legs using the Pythagorean theorem and the given radius, then summing these lengths with the hypotenuse.
Explanation:The subject of this question is Geometry, specifically involving the calculation of the perimeter of a right triangle. In a right triangle, the lengths of the three sides follow the Pythagorean theorem, written as [tex]a^2 + b^2 = c^2[/tex], where c is the hypotenuse and a and b are the lengths of the other two sides.
Here, the length of the hypotenuse WY is given as 20 units. In a right-angled triangle, where a circle is inscribed, the radius of the circle is equal to half the sum of the two legs of the triangle (radius = (a+b)/2). In this case, the radius is given as 4 units. Thus, the total of the two legs a and b is 8 units.
The Pythagorean theorem can now be used to solve for a and b, knowing that [tex]a^2 + b^2 = 20^2[/tex] and a + b = 8; then to find the perimeter, sum the hypotenuse and the lengths of the legs, i.e. Perimeter = a + b + c.
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Related Questions
what number should you subtract from the numerator of the fraction 52367/47633 and add to the denominator so that, after reducing, you get 17/38
Equation needed too!
Answers
The number you should subtract from the numerator (52367) and add to the denominator (47633) of the fraction 52367/47633 to obtain 17/38 after reducing is 21,458.
The equation is:
(52367 - 21458) / (47633 + 21458) = 17/38
To solve this problem, we need to find the number that, when subtracted from the numerator (52367) and added to the denominator (47633), will result in a fraction that reduces to 17/38.
Let's call this number x.
Step 1: Subtract x from the numerator and add x to the denominator.
(52367 - x) / (47633 + x)
Step 2: Set the resulting fraction equal to 17/38 and cross-multiply.
(52367 - x) / (47633 + x) = 17/38
(52367 - x) × 38 = 17 × (47633 + x)
Step 3: Solve for x.
1,990,946 - 38x = 810,761 + 17x
1,180,185 = 55x
x = 21,458
Therefore, the number you should subtract from the numerator (52367) and add to the denominator (47633) to obtain 17/38 after reducing is 21,458.
The equation representing this process is:
(52367 - 21458) / (47633 + 21458) = 17/38
Solve for r.
k=ar/p
a r=ka/p
b r=kap
c r=kp/a
d r=a/kp
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[tex]r= \frac{kp}{a} [/tex]
hopefully i was of help, please mark brainly is possible
Please help my answer is c, is this right!
Answers
There are 3 X's at 1/4 so you would add 1/4+1/4+1/4=3/4. There are 2 X's at 1/2 so you would add 1/2+1/2=1. There are 2 X's at 3/4 so you would add 3/4+3/4=1.5. There is 1 X at 1 so it would just be 1. Then add all those together 3/4+1+1.5+1=4.25 or you could just add each X as you come across it on the number line like so:
[tex]0.25 + 0.25 + 0.25 + 0.5 + 0.5 + 0.75 + 0.75 + 1 = 4.25[/tex]
George earns $455 per week. George recieves a 20% raise. How can george calculate his new weekly per rate?
Answers
OPTION 1:
multiply current pay by 20%, then add the result to the current pay
Step 1:
multiply pay by 20% increase
=$455 * 20%
=$91 increase
Step 2:
add pay increase from step 1 to current pay rate
=$455 + $91
=$546 new weekly rate
OPTION 2:
multiply current pay by (1 + 20%)
=($455)(1 + 20%)
=(455)(1.20)
=$546 new weekly rate
ANSWER: His new weekly rate is $546 per week.
Hope this helps! :)
Luther won 12 of the last 20 video games he played.
Suppose Luther plays a total of 60 games with his friends over the next month. Predict how many of these games Luther will win.
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simplified form of the expression (5.23x + 3.76) − (3.67x − 6.39)
Answers
[tex]5.23x + 3.76 - 3.67x + 6.39 \\ = 1.56x + 10.15[/tex]
Answer:
1.56x + 10.15
Step-by-step explanation:
(5.23x + 3.76) – (3.67x – 6.39)
(a + b) – (c – d) = a + b – c + d
Remove the parentheses and change the signs as needed:
5.23x + 3.76 – 3.67x + 6.39.
Group the like terms and simplify:
5.23x – 3.67x + 3.76 + 6.39
1.56x +10.15.
The simplified form of (5.23x + 3.76) – (3.67x – 6.39) is 1.56x + 10.15.
The height of a model rocket is 4.5% of the height of the actual rocket. The model is 1.32m high. How high is the actual rocket? Please show your work.
Answers
x is the actual height of the rocket.
4.5% is really 0.045 (move the decimal place 2 times to the left).
1.32 = 0.045x
Divide both sides by 0.045.
x = 29.3
The height of the actual rocket is 29.3 meters.
To find the height of the actual rocket given the height of the model rocket, we can use the ratio between the two. By setting up and solving a simple equation, we can determine that the height of the actual rocket is 29.33 meters.
To find the height of the actual rocket, we need to start by determining the ratio between the height of the model rocket and the actual rocket. Given that the model rocket is 4.5% of the height of the actual rocket, we can use this ratio to solve for the height of the actual rocket.
Let's denote the height of the actual rocket as x. Since the model rocket is 4.5% (or 0.045) of the actual rocket's height, we can set up the equation:
0.045x = 1.32
To solve for x, we divide both sides of the equation by 0.045:
x = 1.32 / 0.045
Calculating this expression gives us the height of the actual rocket as 29.33 meters.
If the sum of three numbers is 144, what is the average of the three numbers?
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Round 5685 to the nearest 100
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How would I set up the equation to find mRQS on this circle?
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Haley has some cubes each cube has a side length of 4 inches what is the volume in cubic inches of each cube
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V=s*s*s
where s represents a side
so...
V=4in.*4in.*4in.
4*4*4=64
V=64 in. cubed
the difference between the product of 6 and a number and negative two times the number
Answers
Find the quotient: 744 ÷ 3.1
A) .024
B) 2.4
C) 24
D) 240
Answers
744 / 3.1 = 240
Check
3.1 * 240 = 744
744 = 744
Hope this helps you! (:
-Hamilton1757
PLEASE HELP!!!
Explain why the graph of quadratic function could not contain both a minimum vertex and maximum vertex at the same time.
Your explanation should be 3-4 sentences and include at least 6 of the following words.
-parabola
-U-shaped graph
-vertex
-minimum
-maximum
-Y-value of the vertex
-X-value of the vertex
-quadratic function
Answers
Answer:
アップダウンは世の常
クズ引いたって動じない
Step-by-step explanation:
Given a mean of 61.2 and a standard deviation of 21.4 what is the z score of the value 90 rounded to the nearest tenth?
Answers
Answer:
The z-score of 90 is 1.35
Step-by-step explanation:
The z-score is calculated using the formula:
[tex]z = \frac{x - \mu}{ \sigma} [/tex]
From the question, it was given that the mean is
[tex] \mu = 61.2[/tex]
and the standard deviation is
[tex] \sigma = 21.4[/tex]
and x=90.
We substitute the given values to obtain:
[tex]z = \frac{90 - 61.2}{21.4} [/tex]
[tex]z = \frac{28.8}{21.4} = 1.35[/tex]
Answer:
1.35
Step-by-step explanation:
the drawing is composed of a rectangle and a semicircle 18 cm 22 cm
Answers
The perimeter is L + w + L + perimeter of a semicircle.
L = 22 cm
W = 18 cm
Perimeter can be one of two answers. You need to specify where the semicircle is. Formula for semicircle is
pi * r
r = 18/2 = 9 or
r = 22/2 = 11
So the perimeter of the semi circle is pi * 9 = 25.12 The total Perimeter = 22 + 22 + 18 + 25.12 = 87.12
It can also be 22 + 18 + 22 + 34.54 = 96.54 There are even more possiblities for perimeter. I would have the same problem if you asked about area.
Why not put more details in and I'l give you the correct answer. Here is what we need to know
1. Where is the circle on the 22 cm side or the 18 cm side?
2. What are you looking for: perimeter or area? As soon as you answer these I'll be back.
If f(x)=6x^3+5x,g(x)=3x^2+5,and h(x)=9x^2-8 what is the degree of f(g(h(x))) awer choices are a.2 b.3 3.7 4.12
Answers
We know that [tex]h(x)=9x^2-8[/tex] and [tex]g(x)=3x^2+5[/tex]
[tex]g(h(x))=g(9x^2-8)=3(9x^2-8)^2+5[/tex]
[tex]=3(81x^4-144x^2+64)+5[/tex]
[tex]=243x^4-432x^2+192+5[/tex]
[tex]=243x^4-432x^2+197[/tex]
Now that we know that [tex]g(h(x))=243x^4-432x^2+197[/tex], to find [tex]f(g(h(x)))[/tex] we are going to evaluate [tex]f[/tex] at [tex]243x^4-432x^2+197[/tex]
[tex]f(g(h(x)))=f(243x^4-432x^2+197)[/tex]
[tex]f(243x^4-432x^2+197)=6(243x^4-432x^2+197)^3[/tex][tex]+5(243x^4-432x^2+197)[/tex]
[tex]=86093442x^{12}-459165024x^{10}+1025681130x^8-1228219200x^6[/tex][tex]+83152048x^4-301780944x^2+45873223[/tex]
Since the degree of a polynomial is the highest degree of its monomials, we can conclude that the degree of f(g(h(x))) is 12
Answer:
The degree is 12
Step-by-step explanation:
He counted 206 wheels and 170 pedals. How many bicycles and tricycles does he have.
Answers
tricycle has 3 wheels and 2 pedals
EQ 1 : 2b + 2t = 170 pedals
EQ 2: 2b +3t = 206 wheels
subtract EQ 1 from EQ 2
2b +3t = 206 - 2b + 2t = 170 = t=36
there were 36 tricycles
36 x 2 = 72 pedals
170 pedals - 72 = 98 pedals left
98/2 = 49 bicycles
36 Tricycles and 49 bicycles
Which is an equation of the given line in standard form?
A. -6x+5y=13
B. -6x+7y=-11
C. -6x+7y=11
D. -7x+6y=-11
Answers
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The coordinates of the points:
[tex](-3;\ -1)\to x_1=-3;\ y_1=-1;\ \left(\dfrac{1}{2};\ 2\right)\to x_2=\dfrac{1}{2};\ y_2=2[/tex]
Substitute:
[tex]m=\dfrac{2-(-1)}{\frac{1}{2}-(-3)}=\dfrac{3}{3\frac{1}{2}}=\dfrac{3}{\frac{7}{2}}=3\cdot\dfrac{2}{7}=\dfrac{6}{7}[/tex]
We have:
[tex]y=\dfrac{6}{7}x+b[/tex]
Substitute the coordinates of the point (-3; -1) to the equation of the line:
[tex]-1=\dfrac{6}{7}\cdot(-3)+b\\\\-1=-\dfrac{18}{7}+b\ \ \ |+\dfrac{18}{7}\\\\b=\dfrac{11}{7}[/tex]
Therefore we have:
[tex]y=\dfrac{6}{7}x+\dfrac{11}{7}\ \ \ |\cdot7\\\\7y=6x+11\ \ \ |-6x\\\\\boxed{-6x+7y=11}[/tex]
Answer: C. -6x + 7y = 11
Cody and Ashley are helping their dad fertilize the lawn. They have 3 1/3 pounds of fertilizer and 3 buckets. Each bucket will get the same amount of fertilizer. Cody measures 1 pound of fertilizer into each bucket. The following equation represents this situation, where x represents the additional amount of fertilizer each bucket will get. 3 (x+1) = 3 1/3
How much more fertilizer should each bucket get?
A. 1/9 of a pound
B. 2/3 of a pound
C. 2/9 of a pound
D. 1/3 of a pound
Answers
Answer:
1/9 pound
Step-by-step explanation:
The measure of angle x is 25 more than 4 times the measure of its complement. Find the measure of x.
Answers
- One angle measures x degrees.
- The other angle measures 25 more than 4 times the angle that measures x degrees; it measures 4x + 25 degrees.
To find x, set the sum of these expressions (x and 4x + 25) equal to 90 and solve algebraically for x.
90 = x + (4x + 25)
90 = x + 4x + 25
90 = 5x + 25
65 = 5x
13 = x
If you wanted to find the measure of angle x, you'd substitute 13 for x in its expression, 4x + 25.
4x + 25
4(13) + 25
52 + 25
77
Answer:
x = 13
m∠x = 77°
If 400 bricks measuring 81" by 31" are required to build a wall 42 ft. high, how long is the wall? feet.
Answers
b= 400, let H height and l length
Area = 81*31 or 6.75*2.58 = 17.44 ft²
b(17.44ft²)=Hl
400(17.44 ft²) =42 l
l= 6975/42 = 166.07
so the length of the wall is 166 ft approximately as a whole number
a regular triangular pyramid has a slant height of 13 mm on a base Edge length of 8 in
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What does volume mean
Answers
Hope this Helps!!
Please help is the answers is 6
Answers
Thomas lives in an apartment complex where all the mailboxes are together in one area. The dimensions of his individual mailbox are shown below.
Answers
5/12 * 6/5 = 30/60.
30/60 * 1/2 = 30/120
If you simplify this you get 1/4.
The volume of the mailbox is 1/4, or 0.25.
The average pay of employees is $399.44 per week at a local True Value Hardware store. Jay Miller earns $411.11 per week. How much is Jay's pay over the average?
Answers
To calculate how much more Jay Miller's weekly salary is compared to the average, subtract the average weekly salary ($399.44) from Jay's weekly salary ($411.11). The difference is $11.67, which is how much Jay's weekly pay is over the average.
Explanation:The question is asking us to calculate how much more Jay Miller's weekly salary is compared to the weekly average salary of employees at the local True Value Hardware store. The step-by-step process to solve this is very simple. Firstly, we will subtract the average weekly salary from Jay's weekly salary.
The average weekly salary is $399.44.Jay's weekly salary is $411.11.Subtract the average weekly salary from Jay's weekly salary:$411.11 - $399.44 = $11.67
So, Jay's weekly pay is $11.67 over the average.
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Kristen has 64 coins in her bank. She has $9.25 in dimes and quarters. How many dimes and quarters does she have?
Answers
q= # of quarters
QUANTITY EQUATION:
d + q= 64
COST EQUATION:
0.10d + 0.25q= $9.25
STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2
(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40
STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q
Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40
0.15q= 2.85
divide both sides by 0.15
q= 19 quarters
STEP 3:
substitute q value in step 2 into either original equation to find d value
d + q= 64
d + 19= 64
subtract 19 from both sides
d= 45 dimes
CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25
ANSWER: There are 45 dimes and 19 quarters.
Hope this helps! :)
there are a total of 122 countries in Africa, Europe, and North America. Europe has twice as many countries as North America, and Africa has seven more than Europe. How many countries are in each continent? write an equation and solve it to answer the question
Answers
A = E + 7 = 2n + 7
n + 2n + 2n +7 = 122
What is the value of x?
Enter your answer in the box.
x =
Answers
A straight line measures to 180°
The angle that measures 134 and x make a straight line
180 = 134 + x
Subtract 134 from both sides
46 = x
The answer is 46°
Hope this helps!
x = 180 - 134 = 46°
Answer: 46°