Mathematics High School

The length of the side opposite the 90 degree angle of a 30-60-90 is 18 ft. Determine the lengths of the other two sides.
Round your answer to the nearest hundredth when necessary.
- The side opposite the 30 degree angle is ___ ft.
- The side opposite the 60 degree angle is ___ ft.

Answers

Answer 1

Answer:

The side opposite 30 is 9 ft.

The side opposite 60 is 15.59 ft.

Step-by-step explanation:

Below are pictures of how I got the answer.

I will provide steps to accompany each corresponding picture to further explain what I am doing.

1. This picture simply illustrates what the triangle looks like. The Hypotenuse is 18, as described in the problem.

2. I am showing how the sin will work. What is the opposite side and what is the hypotenuse. I picked this particular angle because it allow me to divide it by a number I already have, 18. I show that sin of 30 is 0.5

3. Now, we know what the side value is, 9. We can easily find the remaining side using Pythagorean theorem.

9^2 + y^2 =18^2

81 + y^2 = 324

y^2 = 243

y = 15.59

The Length Of The Side Opposite The 90 Degree Angle Of A 30-60-90 Is 18 Ft. Determine The Lengths Of
The Length Of The Side Opposite The 90 Degree Angle Of A 30-60-90 Is 18 Ft. Determine The Lengths Of

Related Questions

1. 7x +30
2.7x+50
3.13x+30
4.13x+50

Please help me

Answers

Answer:

its easy the first one 7x+30

What is the surface area and volume ?

Answers

The surface area is 1000 and the volume is 49

The cost of every college is expected to increase 3.5% next year.
The cost to attend Westish College is currently $18,000.
What is the expected cost to attend Westish College next year?
$

Answers

Answer:

prt

Step-by-step explanation:

18000(1.035)=18639

Answer:

18639

Step-by-step explanation:

i may be wrong tho

Mhanifa please help! I will mark brainliest! I really don’t know how to do this! Random answers will be reported

Answers

i believe the value of y is -28

also believe m
25 is 57.4

Answer:

Q1

Supplementary angles sum to 180°

9y + 46 + 7y - 10 = 18016y + 36 = 18016y = 144y = 144/16y = 9Q2

Complementary angles sum to 90°

Complement of ∠M = 90° - 32.6° = 57.4°Q3

Angle addition

m∠TOP = m∠TOM + m∠MOPm∠TOP = 12.5° + 16.5°m∠TOP = 29°

what is 9a² + 42a - 49 factored​

Answers

Answer:2(21a+16)

Step-by-step explanation:

Simplify 3x + 4x + 5x

Answers

12x

Have a great day :)

Use long division to write the rational number as a repeating decimal using bar notation.

**Put your answer in until the number starts repeating. Don't forget to put the bar over what repeats on your paper!**

13/6

Answers

..........................................................

What value of x makes this proportion true?
3 15
х 40
O A. 5
O B. 8
O c. 105
O D. 28

Answers

the answer will be B. 8

The four highest scores on the floor exercise at a gymnastics meet were 9.575, 9.25, 9.325, and 9.6 points. Which is the highest of the four scores?

Answers

Answer:

9.6

Step-by-step explanation:

compare the ones, and then compare the tenths and we can see that 9.675 has the highest number in tenths and 9.25 has the lowest in tenths.

hope this helps! :)

Can you help me explain

Answers

Answer:

x = 10

Step-by-step explanation:

We need to isolate X.

3x - 7 = x + 13

subtract 13

3x - 7 - 13 = x

combine like terms

3x - 20 = x

subtract 3x

- 20 = x - 3x

Combine like terms

- 20 = - 2x

Divide by -2

10 = x

Using a = 15, b =12 and
c = 21, is triangle ABC
a right angle triangle?
Yes
No

Answers

Answer:

[tex]15^{2}+12^{2}=21^{2}\\225+144=441\\369=441[/tex]

left side is not equal to the right. It means that is not right triangle

Step-by-step explanation:

No, triangle ABC is a right angle triangle.

What is triangle ?

Triangle is a two dimensional shape having three side and sum of all angles is equals to [tex]180^0[/tex].

We have,

[tex]a=15[/tex],  [tex]b=12[/tex] and  [tex]c=21[/tex]

So,

To be a right angle triangle it must satisfy the Pythagoras triangle.

i.e.

[tex]H^2=P^2+B^2[/tex]

So,

[tex]21^2=15^2+12^2[/tex]

[tex]441=225+144[/tex]

[tex]441\neq 369[/tex]

So, triangle ABC is not a right angle triangle as it does not satisfy the Pythagoras triangle.

Hence, we can say that No, triangle ABC is a right angle triangle.

To know more about triangle click here

https://brainly.com/question/2773823

#SPJ3

i need help on this and yea

Answers

Answer:

3

Step-by-step explanation:

how do u find surface area for this​

Answers

Answer:

416.23

Step-by-step explanation:

A=a2+2aa2

4+h2=102+2·10·102

4+152≈416.22777

Answer:

find the areas of the individual triangles then add those ares

together.

Step-by-step explanation:

The graph represents the profit on the sale of boxes of cookies. what does the slope represent?​

Answers

Answer:

The non-profit of the boxes

A club’s first meeting was attended by 72 people. Six times as many people went to the first meeting than the second meeting. How many people attended the second meeting?

Answers

i am sorry because of me rong answer 120

7. The largest living thing on earth is a California sequoia tree named the “General Sherman”. The diameter of the tree at the base is 36 feet. Which measurement is closest to the circumference of the circular trunk in feet?

A. 56.52 feet
B. 4,069.44 feet
C. 1,017.36 feet
D. 113.04 feet

Answers

Answer:

Step-by-step explanation:

Which pairs of expressions are equivalent

More the 1 answer

Answers

Answer:

The first 3 pairs of expressions are equivalent.

Step-by-step explanation:

What is the measure of an angle that is the supplement of angle C?

Answers

Answer:

15

Step-by-step explanation:

Answer:

the measure of an angle that is the supplement of angle C=180-165=15

can 10,13,16 for a side length triangle?

Answers

Answer:

yeess

Step-by-step explanation:

Giving f(x)=8x -15, find x when f(x)=9

Answers

Answer:

3

Step-by-step explanation:

f(x)=8x-15 and f(x)=9

9=8x-15

add 15 to both sides

24=8x

divide both sides by 8

x=3

Answer:

f(9)=57

Step-by-step explanation:

f(x)=8x-15

f(9)=8*9-15

f(9)= 72-15

f(9)= 57

It is dinos birthday today. She is 9 years older than tyger. Altogether, their ages add up to 23 years. How old is dino?

Answers

Answer:

7

Step-by-step explanation:

Tyger = x

Dinos = x + 9

Total = 23

x + x+9 = 23

2x + 9 = 23

2x = 23 - 9

2x = 14

x = 14/2 = 7

I hope im right!!

What is the cost to the NEAREST CENT?
$50 video game; 10% markup
A. $5.00
B. $40.00
C. $45.00
D. $55.00

Answers

Answer:

C. $55.00

Step-by-step explanation:

10% of $50 is $5, then add it because it is a markup, $55.00

6 pls literally. Begging

Answers

Answer:

180=144+3X

X=12

Step-by-step explanation:

angles must add to 180

180=45+80+3X+19

gather like terms

180=144+3X

subtract

36=3X

divide

X=12

Answer:

X = 12

All triangles add up to 180* so we first need to add the angles

45 + 80 = 125

180 - 125 = 55

We need to have x contribute to the angle being 55*

3 + 19 = 22

55 - 22 = 33

3 x 12 + 19 = 55

x = 12

Step-by-step explanation:

can you help me with this please.
4)
5)
6)
7)
8)
9)
10)​

Answers

Answer:4






Explanation:

help me find the area of the rectangle for geometry class and thank you ^_^​

Answers

Answer:

10 units. square

Step-by-step explanation:

Lenght = 5

Breadth = 2

Area = l x b = 5 x 2= 10

I hope im right!!

Answer:

correct answer is 10 unit sq

hope it helps

Which equation represents a slope of 4 and (5,-2)?

y-2=4(x-5)
y-5=4(x-2)
y+2=4(x+5)
y+2=4(x-5)

Answers

Answer:

Step-by-step explanation:

the formula is named the point slope formula for a reason.   and  you have show both of them in the question , the slope and the point are given

y - y1 = m(x-x1)

so for your answer

y-(-2) = 4(x-5)

y+2 = 4(x-5)    is the right answer

please help me ASAP!

Answers

Answer:

38

Step-by-step explanation:

there are 6 circles for veggie,

48 divided by 6=8

there are 4 and three fourths circles in chicken

so 38

Answer:

52 becase students like chicken

If 5 boys can eat 16 slices of pizza, then how many slices can 20 boys eat?

Answers

64 slices..............

Which of these is equivalent to x + 1 + x + 2 + x + 3 + x + 4?

Answers

Answer:

what are the options?

Answer:

x + 1 + x + 2+ x + 3 + x + 4

4x + 10

2( 2x + 5)

hope it helps

Help!
The slope of the line below is -3.

Answers

Answer:

D. y + 7 = -3(x - 5)

Step-by-step explanation:

Point-slope form: y - y₁ = m(x - x₁)

⇒ y - (-7) = -3(x - 5)

⇒ y + 7 = -3(x - 5)

Answer:

B. y + 7 = 3(x - 5).

Step-by-step explanation:

y -y1 = m(x - x1)

y - (-7) = 3(x - 5)

y + 7 = 3(x - 5).

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