A triangle has sides with lengths 8, 15, and 17.
Approximate the acute angles in this triangle.

Answers

Answer 1
62° and 28° i used a calculator
Answer 2

Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the acute angle of the given triangle is 28.07 degrees.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

A triangle has sides with lengths 8, 15, and 17.

By Pythagoras theorem, we have

  H² =  P² + B²

 17² = 8² + 15²

289 = 64 + 225

289 = 289

The dimension of the triangle satisfies the Pythagoras theorem. Hence the triangle is a right-angle triangle.

Then the acute angle will be

[tex]\rm \theta =Sin ^{-1} \dfrac{8}{17}\\\\\theta = 28.07^o[/tex]

Thus, the acute angle of the given triangle is 28.07 degrees.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177


Related Questions

I am confused Help me.

Answers

about what there is no question here....?

2x²-24x+64=0 How do you solve my factoring this

Answers

113 Use Photomath i promise its a life changer......

write an equation in slope intercept form for the line passing through (2, 6) with a slope of -3

Answers

Answer:

y=-3x+12

Step-by-step explanation:

y-y1=m(x-x1)

y-6=-3(x-2)

y-6=-3x+6

y=-3x+6+6

y=-3x+12

Given the arithmetic sequence -9,-4, 1, 4,... Which term has a value of 166?

Answers

Answer:

36th term

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = - 4 - (- 9) = - 4 + 9 = 5 , then

[tex]a_{n}[/tex] = - 9 + 5(n - 1) = - 9 + 5n - 5 = 5n - 14

Equate the nth term to 166 and solve for n

5n - 14 = 166 ( add 14 to both sides )

5n = 180 ( divide both sides by 5 )

n = 36

jimrgrant1 made this so give him the credit, i put it here because his was  reported

Answer:

36th term

Step-by-step explanation:

The nth term of an arithmetic sequence is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 9 and d = - 4 - (- 9) = - 4 + 9 = 5 , then

= - 9 + 5(n - 1) = - 9 + 5n - 5 = 5n - 14

Equate the nth term to 166 and solve for n

5n - 14 = 166 ( add 14 to both sides )

5n = 180 ( divide both sides by 5 )

n = 36

solve the equation -2|5w-7|+9=-7

Answers

Answer:

w = 3, w = -⅕

Step-by-step explanation:

See attached image

pls I need help please :D its math and you'll get 30 points

Its a picture

Answers

Answer:

5,750

Step-by-step explanation:

if he has 10 of each then you can multiply each bag by 10 and then multiply the amount of bags to the amount the coin is worth

3 divided by 12 in percentages and fractions

Answers

Answer: fraction: 1/4    decimal: .25  percentage: 25%

Step-by-step explanation:

Answer:

3 is 1/4 of 12 so there is ur fraction and that is 25.00%

Step-by-step explanation:

someone please help me I’m going to cry

Answers

Welp ig ur gonna cry bc i SUCK at math xx

10. Sonia paid $ 19.55 for 3.4 pounds of salmon. What is the price per pound of the salmon?​

Answers

Answer:

5.75
You divide 19.55 by 3.4
Which gives you exactly 5.75

A triangular-shaped sign has a base of 15 ft, and a height of 8 ft. What is the area of the sign?

Answers

Answer:

60ft²

Step-by-step explanation:

Area of a triangle = 1/2×base×height

=1/2×15×8

=60

You told your friend that you could eat 5/8 of a large pizza. If you only ate 1/2 of what you said you could eat, what fraction of a large pizza did you eat?

Answers

Answer:

5/16

Step-by-step explanation:

Given that:

Fraction of claim = 5/8

Amount actually eaten = 1/2 of claim

Amount actually eaten = 1/2 * 5/8 = 5/16

Fraction of large pizza actually eaten is 5 /16

Hence, he ate, 5/16 of large pizza

Answer:

Step-by-step explanation:

5/6

HELP ASAP PLSSS 10 POINTS

Answers

Answer:

true both

Step-by-step explanation:

i did math

Answer:

False

True

Step-by-step explanation:

because comparing one side it's 2:5

The regular price of a video game is $59.,95. This week it is on sale for 15% off. What does the game cost this week (before taxes)

Answers

Answer: $50.96

Step-by-step explanation:

The regular price of a video game is $59.95 and we are told that this week it is on sale for 15% off.

The game cost this week before taxes will be:

= 59.95 - (15% × 59.95)

= 59.95 - (0.15 × 59.95)

= 59.95 - 8.9925

= $50.9575

= $50.96

The amount this week is $50.96

The average grade Jared received on 4 tests was 94. If he drops his lowest test grade of 85, what will his new average be?

A.72.75
B.76
C.89.5
D.97

Pls help TT

Answers

Answer:

total points on the 4 tests- 94x4= 376

376- 85= 291

291/3= D. 97

Answer:

D. 97

Step-by-step explanation:

x = sum of 4 test grades Jared received

[tex]\frac{x}{4} = 94[/tex]

x = 376

If he drops lowest test grade of 85, then subtract 85 from Jared's sum of all test grades:

x - 85 --> 376 - 85

= 291

Now that one of his test grades are not considered, this means there are only 3 test grades to consider.

291 must be divided by 3 to get the average:

[tex]\frac{291}{3}[/tex] = 97

The answer is D) 97

Your firm has net income of $329 on total sales of $1,340. Costs are $740 and depreciation is $130. The tax rate is 30 percent. The firm does not have interest expenses. What is the operating cash flow?

Answers

Answer:

Net operating cash flow= $459

Step-by-step explanation:

Giving the following information:

Your firm has net income of $329 on total sales of $1,340. Costs are $740 and depreciation is $130. The tax rate is 30 percent. T

To calculate the operating cash flow, we need to use the following structure:

Sales= 1,340

Costs= (740)

Gross income= 600

Depreciation= (130)

EBIT= 470

Tax= (470*0.3)= (141)

Depreciation= 130

Net operating cash flow= $459

if it takes you one hour and thirty minutes to drive 87 miles, find your average speed

Answers

Answer:

How to calculate average speed. Speed is distance divided by time. Simply put, if you drove 60 kilometres for one hour, it would look like this: Speed = distance (60 km) / time (1 hour) = 60km/h.

MEASUREMENT Write an expression in simplest form for the perimeter of each figure.

Answers

Answer:

I think it's 10...

Step-by-step explanation:

I'm sorry if I'm wrong. let me know if I am and if it's right please give brainliest I'm trying to rank up. ❤️

Plzz help!!!!!!!!!!!!!!!!!

Answers

Answer:

so far i got A and C

Step-by-step explanation:

if its incorrect im sorry


Factor Trinomials:

1) 2x^2 + 14x + 20

2) 8x^2 + 64x +128

(Please show work)
I give out brainliest

Answers

Answer:

1. [tex]2(x+2)(x+5)[/tex]

2. [tex]8(x+4)^{2}[/tex]

Step-by-step explanation:

Problem #1:

1. Find the GCF (Greatest Common Factor)

[tex]GCF = 2[/tex]

2. Factor out the GCF and simplify.

[tex]2(x^{2} +7x+10)[/tex]

3. Factor [tex]x^{2} +7x+10[/tex]

Which two numbers add up to 7 and multiply to 10?

2 and 5

Rewrite the expression using the above.

[tex](x+2)(x+5)[/tex]

4. Done!

[tex]2(x+2)(x+5)[/tex]

Problem #2:

1. Find the GCF (Greatest Common Factor)

[tex]GCF=8[/tex]

2. Factor out the GCF and simplify.

[tex]8(x^{2} +8x+16)[/tex]

3. Use the perfect square formula. [tex]a^{2} +2ab+b^{2} =(a+b)^{2}[/tex]

[tex]a = x\\b=4[/tex]

[tex](x+4)^{2}[/tex]

4. Done!

[tex]8(x+4)^{2}[/tex]

find the value of given expression
[tex]0 \times \sqrt{5} [/tex]

Answers

Answer and Step-by-step explanation:

The answer to this expression is 0.

This is because 0 times any number is 0.

#teamtrees #PAW (Plant And Water)

Answer:

0 because anything times 0 equals 0

Step-by-step explanation:

I need help pleaseee

Answers

Answer:

Step-by-step explanation:

20 (8+5+4+3)

20 bcuz the numbers are 8, 4,5, and 3. When u add it together then you get 20

EXIT TICKET
Ahmad constructed the composition of dilations shown. Figure 2 is 1/2 the
size of Figure 1, and Figure 3 is 2/3 the size of Figure 2.
What is the scale factor from Figure 1 to Figure 3?

Circle the best choice: What is the center of dilation that maps Figure 1 to Figure 3?

Point A
Point B
Point C
Point D

Answers

Answer:

Step-by-step explanation:

Point A

The length of a shadow of a building is 30 m. The distance from the top of the building to the tip of the shadow is 36 m.
Find the height of the building. If necessary, round your answer to the nearest tenth.

Answers

Answer:

the answer is 19.89

Step-by-step explanation:

round it

1) If Susie puts her pennies in piles of 4 she has 2 pennies left over. If she puts h
pennies in piles of 5 she has 3 pennies left over. What is the least amount of
pennies Susie can have?

Answers

Answer:

The least ammount of pennies would be 18 I belive.

Step-by-step explanation:

Find the solution to the following system using substitution or elimination:
y = 3x + 2
y=-2x - 8

A. (-2,-4)
O B. (-ş; – 34)
O C. (-9,-)
D. (1, -6)

Answers

Answer:

A. (-2,-4)

x = -2,

y = -4

thats the only way ik how to explain but its the correct answer

3x = 4x - 12 हे समीकरण सामान्य रूपात लिहा​

Answers

Answer:

x=12

Step-by-step explanation:

Here,

3x =4x - 12

12= 4x - 3x

12= x

Brian rolls a fair dice 12 times. How many times would Brian expect to roll a number greater than 4?

Answers

Brian is expected to roll a number greater than 4, 4 times

How to determine the expected row?

In a fair die, we have:

Faces = 6

Faces greater than 4 = 2 i.e. 5 and 6

So, the probability to roll a number greater than 4 is:

p = 2/6

When the dice is rolled 12 times, the expected value is:

Expected = 2/6 * 12

Evaluate

Expected = 4

Hence, Brian is expected to roll a number greater than 4, 4 times

Read more about expected values at:

https://brainly.com/question/15858152

#SPJ1

Anyone help ASAP pls!!!

Answers

Answer:

my answer is B

first to answer please be correct asap !!! giving brainleist and 10 pts.

Answers

Answer:

The third one

Step-by-step explanation:

Help please I will be marking brainliest!!!

A. 46.1
B. 50.1
C. 76
D. 54.2

Show work, if possible. Thanks❤️

Answers

Answer:

76 I think

Step-by-step explanation:

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