3 years ago

Find the area of the shaded region. Use 3.14 for Round to the tenths place.

Mathematics

1 answer:

Lubov Fominskaja [6]3 years ago

7 0

Answer:

450.2 in²

Step-by-step explanation:

The area of the shaded region is:

The area of circle - area of triangle

Diameter of the circle is the hypotenuse of right triangle. As per Pythagoras:

d = √20²+21² = √400+441= √841 = 29in
r = d/2 = 29/2 = 14.5 in

Area of circle:

A = πr² = 3.14*14.5² = 660.2 in²

Area of triangle:

A = ah/2 = 20*21/2 = 210 in²

Shaded area:

660.2 - 210 = 450.2 in²

You might be interested in

6. The height of a triangle is 2 units more than the base. The area of the triangle is 10 square units. Find

Harrizon [31]

Answer:

4.24

Step-by-step explanation:

First, let's set up the equation: $\frac{2+x^2}{2}=10$

Next, clear the fraction by multiplying both sides by 2: $2*(\frac{2+x^2}{2}=10)=2+x^2=20$

Then, subtract 2 from both sides: $x^2=18$

Finally, take a square root of both sides and round: $\sqrt{x^2=18} =$ (Rounded to the nearest hundredth) 4.24

7 0

2 years ago

What is the inverse of the function f(x) = 3x – 2? f-1(x) =

Eddi Din [679]

Answer:

$\frac{x + 2}{3}$

Step-by-step explanation:

Replace y with f(x).

$y = 3x - 2$

Swap x and y and solve for y

$x = 3y - 2$

$x + 2 = 3y$

$\frac{x + 2}{3} = y$

7 0

2 years ago

When we rotate clockwise or counterclockwise, the two rotations should always add up to ( ) degrees

oksian1 [2.3K]

Answer:

360 degrees

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

3x^2-x-16=0 Solve this question

Nadya [2.5K]

X≈2.48207399,−2.14874066

4 0

2 years ago

Read 2 more answers

Determine whether each point appears on the line with the given slope and y−intercept. Select Yes or No for each point.

-Dominant- [34]

Could you put a graph plz??

6 0

2 years ago

Read 2 more answers