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2 years ago

Please need help Find area of shaded region. Round to the nearest tenth

Mathematics

1 answer:

vlabodo [156]2 years ago

7 0

Answer:

818.4 in²

Step-by-step explanation:

The area (A) of the shaded region is

A = area of circle - ( area of white sector + area of triangle )

= ( π × 27.8²) - (π × 27.8² × $\frac{210}{360}$ +(0.5 × 27.8 ×27.8 × sin150°)

= 2427.95 - (1416.30 + 193.21 )

= 2427.95 - 1609.51 ≈ 818.4 in²

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It took a plane 2 hours to go from Dallas to NY with the head wind and 1.5 hours to get back with the tail wind. If the speed of

vladimir2022 [97]

Answer:

360 miles

Step-by-step explanation:

let speed of plane be x

speed of wind be c

Also note D = RT, where

D is distance and R is rate and T is time

<u>For First Leg:</u>

we can write:

(x - c) * 2 = D

2x - 2c = D

<u>For Second Leg:</u>

we can write:

(x+c)*1.5 = D

1.5x + 1.5c = D

We can equate and write:

2x - 2c = 1.5x + 1.5c

0.5x = 3.5c

We know Speed of Wind, c, is 30, so we have:

0.5x = 3.5(30)

0.5x = 105

x = 105/0.5 = 210 [speed of airplane]

We know distance is

D = 2x - 2c

D = 2(210) - 2(30)

D = 420 - 60

D = 360 miles

The distance is 360 miles

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2 years ago

Suppose you invest $10,000 at the age of 40, and agree to start receiving payments at the age of 50. At age 48, you decide you w

olchik [2.2K]

So out of the amount in your account you have $10,000.

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2 years ago

Write the equation of a line perpendicular to y=0.25x-7 and passes through the point -6,8

horrorfan [7]

the equation of a line perpendicular to $y=0.25x-7$ and passes through the point (-6,8) is $y=-4x+30$

Step-by-step explanation:

We need to write equation of line perpendicular to $y=0.25x-7$ and passes through the point (-6,8)

Since the line $y=0.25x-7$ is in slope-inetercept form $y=mx+b$

the slope of line m = 0.25

As, the new line is perpendicular to the given line so, slopes of lines that are perpendicular are: slope = -1/slope1

So, slope will be -1/0.25 = -4

Now, finding y-intercept.

$y=mx+b8=4(-6)+b\\8=-24+b\\b=8+24\\b=30$

So, value of y-intercept b = 30

Now the equation of the required line having slope m= -4 and b =30 will be:

$y=mx+b\\y=-4x+30$

So, the equation of a line perpendicular to $y=0.25x-7$ and passes through the point (-6,8) is $y=-4x+30$

Keywords: Equation of line, slope-intercept form

Learn more about slope-intercept form at:

#learnwithBrainly

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