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3 years ago

Find m angle f to the nearest degree

Mathematics

1 answer:

dimaraw [331]3 years ago

8 0

Answer:

∠F ≈ 53°

General Formulas and Concepts:

Trigonometry

sin∅ = opposite over hypotenuse
sin inverse evaluates "backward" to find the measure angle

Step-by-step explanation:

Step 1: Define

Looking at ∠F

opposite leg of ∠F = ED = 8

hypotenuse = FE = 10

Step 2: Find m∠F

Substitute: sin∠F = 8/10
Simplify: sin∠F = 4/5
Take sin inverse: ∠F = sin⁻¹(4/5)
Evaluate: ∠F = 53.1301°
Round: ∠F ≈ 53°

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The area of circle is 770cm^2then find its circumfrence

Gala2k [10]

Answer:

The circumference is 98.39 centimeters (rounded to 2 decimal places)

Step-by-step explanation:

The area of a circle has the formula $\pi r^2$

The circumference of a circle has the formula $2\pi r$

First, let's find r from area given:

$\pi r^ 2= 770\\r^2 = \frac{770}{\pi}\\r=\sqrt{\frac{770}{\pi}} \\r=15.66$

Now, we can use this value of r and plug in into the formula for circumference. Shown below:

$2\pi (15.66)\\=98.39$

The circumference is 98.39 centimeters (rounded to 2 decimal places)

6 0

3 years ago

5. If a photo is enlarged by a scale factor of 3, what are the new

wolverine [178]

Answer:

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3 years ago

Could someone answer this and explain an easier way to do this?

goblinko [34]

Answer:

Area of the figure = 109 cm. square

Step-by-step explanation:

The radius of the semi circle is 12 ÷ 2 = 6 cm.

Area of the semi circle = $\frac{1}{2}\pi(6^{2})=18\pi$

The radius of the quarter circle is 6 cm.

Area of the quarter circle = $\frac{1}{4}\pi(6^{2}=9\pi$

The area of the rectangle = 12 × 2 = 24

The area of the figure = 18π + 9π + 24 = 108.78 ≅ 109 cm. square

3 0

3 years ago

Solve (D^3-D^2-D-2)y=0

allsm [11]

(^3-^2+2)D=0

D^2+D^2+2D=0

2D^2+2D=0

a = 2; b = 2; c = 0;

Δ = b2-4ac

Δ = 22-4·2·0

Δ = 4

D1=−b−Δ√2aD2=−b+Δ√2a

Δ−−√=4√=2

D1=−b−Δ√2a=−(2)−22∗2=−44=−1

D2=−b+Δ√2a=−(2)+22∗2=04=0

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3 years ago

What is 3/4 as a fraction out of 100, a decimal,and a percentage

Arte-miy333 [17]

Fraction: 75/100
Decimal 0.75
Percentage: 75%

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3 years ago