All categories

3 years ago

Find the shaded area of each figure, round your answer to one decimal place if necessary

Mathematics

1 answer:

Annette [7]3 years ago

8 0

<h2>area of shaded portion = 49.5 yd²</h2><h2>____________________</h2>

<u>Step-by-step explanation:</u>

radius of circle = 5 yd ------ ( <em>g</em><em>i</em><em>v</em><em>e</em><em>n</em><em> </em><em>)</em>

height of triangle = 16 yd --- ( <em>g</em><em>i</em><em>v</em><em>e</em><em>n</em><em> </em><em>)</em>

base of triangle = 16 yd ----- ( <em>g</em><em>i</em><em>v</em><em>e</em><em>n</em><em> </em><em>)</em>

area of triangle = 1/2 × base × height

= 1/2 × 16 × 16

= 128 yd²

area of circle = π × radius²

= 3.14 × 5 × 5 --- ( π = 3.14 )

= 78.5 yd²

area of shaded portion = area of triangle - area of circle

area of shaded portion= 128 yd²-78.5 yd²

area of shaded portion = 49.5 yd²

<h2>--------------------------------------</h2><h2>PLEASE FOLLOW ME</h2>

You might be interested in

What are the areas of each smaller rectangle and the large rectangle?

zhannawk [14.2K]

Answer:

Area of part 1: 3 * $5\sqrt{2}$ = $15\sqrt{2}$

Area of part 2: $3\sqrt{2} * 5\sqrt{2}$ $=30$

Area of entire rectangle: $30 + 15\sqrt{2}$

Step-by-step explanation:

The area of a rectangle can be found by using formula : length * width.

The area of part 1 can be simplified to this:

3 * $5\sqrt{2}$ = $15\sqrt{2}$

Area of part 2:

$3\sqrt{2} * 5\sqrt{2}$ $=30$

The area of the entire rectangle can simply be added from part 1 and part 2.

For area 2, remember multiplying the square root of 2 twice nullifies the square root. So it becomes 15 * 2, which is equal to 30.

7 0

4 years ago

-0.5(x + 0.3) – 0.2x = 4.1

lys-0071 [83]

Answer:

x=-8

Step-by-step explanation:

I always change the decimals into whole numbers by multiplying them by 10. If you do this, it is much easier to solve. All you do is multiply every term by 10.

the equation changes to

-5(x+3)-2x=41

-5x-15-2x=41

combine like terms

-7x-15=41

bring the 15 over to the 41

-7x=56

divide everything by 7

-x=8

change x to a positive

x=-8

3 0

3 years ago

Rename 476,000 thousands

lozanna [386]

Answer:

Four hundred seventy six thousand

Step-by-step explanation:

I think this is what you mean. If not, let me know. Thank you:))

5 0

4 years ago

Read 2 more answers

Change each fraction to a decimal. 1.) 67 2.) d38

Maksim231197 [3]

Answer:

$\frac{6}{7}$ = 0.857143 and $\frac{3}{8}$ = 0.375

Step-by-step explanation:

5 0

3 years ago

The dimensions of one of the sails on a sailboat are 9 feet, 12 feet, and 15 feet. Is the sail a right triangle?

kipiarov [429]

Answer:

yes

Step-by-step explanation:

Using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.

longest side = 15 , then 15² = 225

9² + 12² = 81 + 144 = 225

Thus the sail is a right triangle.

7 0

3 years ago

Read 2 more answers