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3 years ago

Using the triangle below, Find the ratio. Please need help very much appreciate

Mathematics

1 answer:

zmey [24]3 years ago

3 0

Answer/Step-by-step explanation:

✔️Sin 22° = opp/hyp

Opp = 15

Hyp = 40

Sin 22° = 15/40

Simplify

Sin 22° = ⅜

✔️Tan 22° = opp/adjacent

opp = 15

Adjacent = √(40² - 15²) (pythagorean theorem)

Adjacent = √1,375 = 37.1 (nearest tenth)

Tan 22° = 15/37.1

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Lelu [443]

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6 0

3 years ago

What is the value of p <br> 13²=p<br>

solniwko [45]

169 because 13 x 13 = 168

8 0

3 years ago

Read 2 more answers

Henry knows that the circumference of a circle is 56.52 inches. What is the area of the circle? (Use 3.14 for and round to the

ahrayia [7]

The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.

Step-by-step explanation:

The given is,

Circumference of a circle is 56.52 inches.

$\pi =3.14$

Step:1

Formula for circumference of circle is,

$Circumference, C = 2\pi r$ ........................(1)

Where, r - Radius of circle

From the given,

C = 56.52 inches

Equation (1) becomes,

56.52 = 2 $\pi$ (r)

56.52 = (2) (3.14) (r)

56.52 = 6.28 (r)

$r = \frac{56.52}{6.28}$

r = 9 inches

Step:2

Formula for area of circle,

$Area,A = \pi r^{2}$ ............................(2)

Where, r - Radius of circle

From the given,

r = 9 inches

Equation (2) becomes,

$A = \pi (9)^{2}$

= (3.14) (81)

= 254.34

Area of circle, A = 254.34 square inches

Result:

The area of circle is 254.34 square inches, if the circumference of a circle is 56.52 inches.

3 0

3 years ago

Susan ate 1 5/6 cups of popcorn on Monday night. She at 2 3/4 of popcorn on Thursday night. How many cups of popcorn did Susan e

Shtirlitz [24]

Answer: 4 7/12 cups of popcorn

Step-by-step explanation:

5 0

3 years ago

Eliminate the parameter in the equations x = 5cos(t) – 7 and y = 5sin(t) 9. how can the rectangular equation be described?

Maksim231197 [3]

Recall that for all t,

cos²(t) + sin²(t) = 1

Now,

x = 5 cos(t) - 7 ⇒ (x + 7)/5 = cos(t)

y = 5 sin(t) + 9 ⇒ (y - 9)/5 = sin(t)

so that substituting into the identity above, we get

((x + 7)/5)² + ((y - 9)/5)² = 1

which we can rewrite as

(x + 7)²/25 + (y - 9)²/25 = 1

(x + 7)² + (y - 9)² = 25

and this is the equation of a circle centered at (-7, 9) with radius 5.

3 0

2 years ago