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2 years ago

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

Mathematics

1 answer:

Annette [7]2 years ago

8 0

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

Step-by-step explanation:

radius of circle = 5 yd ------ ( given )

height of triangle = 16 yd --- ( given )

base of triangle = 16 yd ----- ( given )

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>

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3 years ago

A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair. This situation can be de

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Answer:

b = 40

Step-by-step explanation:

A heater repairman charges $40 to visit a home, plus $70 per hour for the time he spends on the repair.

This situation can be described by an equation of the form y=mx+b , where

x = the time in hours

y = the cost in dollars.

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2 years ago

Write the equation of the line graphed below

zimovet [89]

Answer:

y = 5/8x + 12

Step-by-step explanation:

Slope = change in y/change in x

slope = 5/8

Using y = mx + b find b.

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2 years ago

Read 2 more answers

Find the area of the following polygon:

Masja [62]

Given:

ABCD is a quadrilateral

AC = 12, DE = 4 and FB = 5

To find:

The area of the polygon.

Solution:

AC bisects the quadrilateral into two triangles.

Area of triangle:

$$A=\frac{1}{2}\times\text{base}\times\text{height}$

Area of triangle DAC:

$$A=\frac{1}{2}\times AC \times DE$

$$A=\frac{1}{2}\times 12 \times 4$

$A=24$

Area of triangle DAC = 24 square units.

Area of triangle BAC:

$$A=\frac{1}{2}\times AC \times FB$

$$A=\frac{1}{2}\times 12 \times 5$

$A=30$

Area of triangle BAC = 30 square units.

Area of polygon = Area of triangle DAC + Area of triangle BAC

= 24 square units + 30 square units

= 54 square units

The area of the polygon is 54 square units.

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3 years ago