How would you find the last remaining two angles of a right triangle? Prove your understanding by finding the measures of the acute angles of an 8-15-17 right triangle.

Answers

Answer 1

Answer:

The other 2 angles are 28 and 62 degrees.

Step-by-step explanation:

The sum of all the angles of a triangle is always equal to 180 degrees.

If two angles are known the third can be found out.

A right angled triangle always has an angle equal to 90 degrees.

If the base is 15 and the perpendicular is 8 and the hypotenuse is 17

then

Tan theta= Perpendicular/base

Tan theta= 8/15

theta = tan⁻¹ 8/15

theta = 28.072

The third angle is 28 degrees which is less than 90 degrees and is acute

This can also be obtained by

cos theta= base / hypotenuse

cos theta= 15/17

theta= cos⁻¹  15/17

theta= 28.072

Now summing up

90+ 28 + x= 180

x= 180-118

x= 62

The third angle is 62 degrees which is also less than 90 degrees.


Related Questions

Spongebob, Patrick, and Mr. Krabs are Investing a total of $240,000 in the Krusty Krab at a ratio of 8:5:17. How much
money did each of them invest?

Answers

Answer

SpongeBob:$64000

Patrick:$40000

Mr.Krabs:$136000

Step-by-step explanation:

8+5+17=30

Spongebob=(8/30)*$240000=$64000

Patrick=(5/30)*$240000=$40000

Mr.Krabs=(17/30)*$240000=$136000

Please help ASAP!!!!

Answers

Answer:

m<CAO = 56°

Step-by-step explanation:

Same-side interior angles are supplementary to each other, so take their sum and set them equal to 180 and solve for x:

2x + 3x + 40 = 180

5x + 40 = 180

5x = 140

x = 28

Plug x=28 into angle CAO:

CAO = 2(28) = 56°

express 4.77777..... in the form of p/q​

Answers

Answer:

[tex]\frac{43}{9}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 7 placed after the decimal point.

let x = 4.7777... → (1)

Multiply both sides by 10

10x = 47.7777.... → (2)

Subtract (1) from (2) thus eliminating the repeating 7

9x = 43 ( divide both sides by 9 )

x = [tex]\frac{43}{9}[/tex]

The "Open" sign at Cenzo's flashes every 4 seconds. The "Open" sign at The Kettle flashes every 5 seconds and the "Welcome" sign at Centrella's Deli flashes every 6 seconds. If the signs are turned on and flash at the same time, how long will it take for them to flash at the same time again?

Answers

It will take 60 ( one minute) for the signs to flash at the same time


Find the lcm ( least common denominator)
4: 4,8,12,16,20,24,28,32,36,40,44,48,52,
56,60
5: 5,10,15,20,25,30,35,40,45,50,55,60
6: 6,12,18,24,30,36,42,48,54,60

In ΔMNO, the measure of ∠O=90°, MO = 24, NM = 25, and ON = 7. What ratio represents the cosecant of ∠N?

Answers

Answer:

\csc N = \frac{\text{hypotenuse}}{\text{opposite}}=\mathbf{\frac{25}{24}}

cscN= opposite

         hypotenuse = 24/25

Step-by-step explanation:

The outside of a round swimming pool is 40ft. How far is it to swim from the center to the outside?

Answers

Answer:

20ft.

Step-by-step explanation:

The perimeter is 40ft. You are starting at the perimeter of the pool swimming inward, you will have to swim half of that distance to reach the center.

Write 5.3421 (bar on 21) in p/q form

Answers

Answer:

[tex]\frac{52887}{9900}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 21 placed after the decimal point.

let x = 5.34212121 ( multiply both sides by 100 and 10000 )

100x = 534.2121... → (1)

10000x = 53421.2121... → (2)

Subtract (1) from (2) thus eliminating the repeating 21

9900x = 52887 ( divide both sides by 9900 )

x = [tex]\frac{52887}{9900}[/tex]

Five angles of a hexagon measure 119, 129, 104, 139 and 95 degrees. What is the measure of the sixth angle?

Answers

The final angle would be 134 degrees because a hexagon has 720 degrees. How you solve this problem is by adding all of the other angles and subtract the number you get from 720.

3(x−6)=−12 what is the answer pls

Answers

Answer:

[tex]3(x - 6) = - 12 \\ 3x - 18 = - 12 \\ 3x = - 12 + 18 \\ 3x = 6 \\ x = \frac{6}{3} \\ x = 2[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Answer:

x = 2

3 (x-6) = -12

3x - 18 = -12

3x - 18 + 18 = -12 + 18

3x = 6

3x/3 = 6/3

Hence,  x= 2

Step-by-step explanation:

pls mark as brainliest

hope it helps u

A planner assembles party favor bags filled with glow sticks and temporary tattoos for a client. There are 24 glow sticks and 30 temporary tattoos to divide
evenly among the bags.

If there are no leftover items, what is the greatest number of bags the planner can assemble?

A. 6 bags
B.8 bags
C. 24 bags
D. 30 bags

Answers

Answer:

24

Step-by-step explanation:

you don't have more than 24 glow sticks so thats the most amount of bags you can have

The answer to this is A 6 bags

hii please help asap ill give brainliest thanks

Answers

Answer:

Alloys...................................

Given m and n are parallel lines, t is a transversal
crossing both m and n, and m48 = 100 degrees,
what is the measure of 3?

Answers

Answer:

they would measure 74 meters

Solve for x. round your answer to the nearest whole degree.

Answers

Answer:

64°

Step-by-step explanation:

sin(x) = 17/19

take inverse sine of 17/19: [tex]sin^{-1}(17/19)[/tex] = 63.475°

they want to the nearest whole degree, so it would be ≈ 64°

HELP PLEASE. urgent help needee

Answers

Answer:

123 cm^2

Step-by-step explanation:

for the rectangles its

#1     5(4)=20 cm^2

#2    5(7)= 35 cm^2

#3     5(8) = 40 cm^2

for the triangles its

4(7)(.5)(2)= 28 cm^2

4(7)= 28 cm^2

I get the .5 from the triangle area formula

and since the triangles are equal I multiplied it by 2 again so the .5 cancels out.

in the end you add them all up which is 20+35+40+28 = 123 cm^2

Can someone help me please explain how to solve​

Answers

Answer:

120 sq ft 1/2 x b x h

Step-by-step explanation:

Avery invested $21,000 in an account paying an interest rate of 3.3%
compounded continuously. Assuming no deposits or withdrawals are made,
how long would it take, to the nearest year, for the value of the account to
reach $29,200?

Answers

Answer:

i thought i have answered this question b4

two lines intersect in the figure below. what is the value of x?

Answers

Answer:

A. 17

Step-by-step explanation:

The angles are adjacent, meaning they are congruent. So you will set (5x + 6) equal to 91

(5x + 6) = 5x + 6

5x + 6 = 91

5x + 6 - 6 = 91 - 6

5x = 85

5x / 5 = 85 / 5

x = 17

WHAT IS THE MEDIAN pls help

Answers

the median is 19.5 :))

Which expression gives the volume of a sphere with radius 16?
O A. $ r (262)
B. 47(262)
O C. (163)
O D. 4t(153)

Answers

Answer:

16,384π/3

Step-by-step explanation:

V = (4/3)πr³

V = (4/3)π(16³)

V = 16,384π/3

Answer:

Step-by-step explanation:

Equation

V = (4/3) pi r^3

Givens

r = 16

Solution

V = (4/3) pi 16^3

V = (1.3333) * 3.14 * 4096

V = 171148.5

None of those answers agree with mine. Are those the real choices?

Question Below! 20 points!

Answers

Answer: 20

Step-by-step explanation:

The answer is is 20cm :)

solve:

100^x=10^(2x+5)

Answers

Answer:

[tex]100^x=10^{2x+5}\\100 = 10^2[/tex]

simplifies to

[tex]10^{2x}=10^{2x+5}\\2x = 2x+5\\0=5[/tex]

no solution

1. Remove parentheses.
100^x = 10^2x+5

2. Convert both sides to the same base.
10^2x = 10^2x + 5

3. Cancel the base of 10 on both sides.
2x = 2x + 5

4. Cancel 2x on both sides.
0 = 5

5. Since 0 does not equal 5, the is no solution.

Answer: No solution

The angle of elevation to a building in the distance is 22°. You know that the building is approximately 450ft tall. Estimate the distance to the base of the building​

Answers

Answer:

1114 ft

Step-by-step explanation:

tan 22°=450/d

==>d=450/tan 22°=1113.7890... ≈1114 (ft)

A 3ft child casts a 2ft shadow at the same time a tree casts a shadow that is 6ft long how tall is the tree?

Answers

Answer:

[tex]h_t=9ft[/tex]

Step-by-step explanation:

From the question we are told that:

Height of child [tex]h_c=3ft[/tex]

Height of child's shadow  [tex]h_c_s=2ft[/tex]

Height of tree's shadow [tex]h_t_s=6ft[/tex]

Since position of Sun remains constant  

Generally the equation for Height of tree h_t mathematically given by

 [tex]h_t=f_{ts}\frac{h_c}{h_c_s}[/tex]

 [tex]h_t=6*\frac{3}{2}[/tex]

 [tex]h_t=9ft[/tex]

What is the next term in the sequence 58, 47, 36, 25...?

Answers

Answer:

14

Step-by-step explanation:

subtract 11 each time.

Answer:

14

Step-by-step explanation:

Because look at the pattern they subtrat from 11

what is the quotient when the fraction 1/3 is divided by the whole number 6?

Answers

Answer:

[tex]\frac{1}{18}[/tex]

Step-by-step explanation:

Select the correct answer.

What is the purpose of the IRS?

A.
to collect taxes and enforce tax laws
B.
to provide a collection of domestic and foreign securities
C.
to foster cooperation between nations to solve economic issues
D.
to ensure fair global trade practices

Answers

A. To collect taxes and enforce tax laws.

Answer:

I think A ................

PLS HELP ME THIS IS Probability (Single event) PLS HELP ME

Answers

Answer: I would say 50%

Step-by-step explanation: Because there is a 50 50 chance on getting heads or tails.

Answer:

I believe it is a 50% chance because there are only two sides to the coin. 100 divided by two is 50.

Step-by-step explanation:

I'm not sure if that is the way you are supposed to solve it. Sorry if the answer is incorrect.

Mi tarjeta de crédito está saturada por lo que tanto recurre un préstamo que cobra el 8% mensual por la cantidad que se solicite me prestaron 3500 cuál es la cantidad de que debo pagar al prestamista en un mes para saldar la deuda

Answers

Answer:

El valor que debes pagar al prestamista en un mes para saldar la deuda es: 3780.

Step-by-step explanation:

Para encontrar el valor que debes pagar en un mes para saldar la deuda, debes calcular el 8% del valor que te prestaron y este sería el monto de los intereses. Después, debes sumarle esta cantidad al valor que te prestaron:

monto del préstamo= 3500

3500*8%=280

3500+280=3780

De acuerdo a esto, la respuesta es que el valor que debes pagar al prestamista en un mes para saldar la deuda es: 3780.

help me its due in 13 mins i forgot about it ​

Answers

Answer:im so sorry but i cant see the page you should take a more clear picture and send it again

Step-by-step explanation:

Enter the correct answer in the box. What are the solutions to the equation (x - 21)^2 = 25?​

Answers

Answer:

x = 26

Step-by-step explanation:

[tex] {(x - 21)}^{2} = 25 \\ x - 21 = \sqrt{25} \\ x - 21 = 5 \\ x = 5 + 21 \\ x = 26[/tex]

Answer:

x = 26, x = 16.

Step-by-step explanation:

(x - 21)² = 25

Expand the factor.

(x - 21)(x - 21) = 25

Multiply using FOIL.

x² - 42x + 441 = 25

Subtract 25 from both sides.

x² - 42x + 416 = 0

Factor.

(x - 26)(x - 16) = 0.

Set both expressions to 0 and solve.

x - 26 = 0

Add 26 to both sides.

x = 26

x - 16 = 0

Add 16 to both sides.

x = 16

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