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vichka [17]
3 years ago
15

a 15 inch long windshield wiper blade swipes in arc of 120°. How many square inches of a windshield’s surface area does the blad

e cover in one swipe
Mathematics
1 answer:
andrey2020 [161]3 years ago
5 0

Answer:

The blade covers an area of 235.714 square inches in one swipe

Step-by-step explanation:

In this question, we are to calculate the area that is covered by blade cover of the windshield wiper blade in 1 swipe.

To calculate this, we shall be using the formula for the area of the sector. The sector in this case subtends an angle of 120 degrees at the centre.

Mathematically, the area covered by the blade in one swipe is

A = θ/360 * pi * r^2

where θ = 120 degrees and r = 15 inch

A = 120/360 * 22/7 * 15^2

= 1/3 * 22/7 * 225 = 22 * 75/7 = 235.714 square inches

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Henry located 2 1/4 and 2.1 on a number line. He wrote the following related story:
Rzqust [24]

Answer:

Jerry ran a farther distance and not Henry.

Step-by-step explanation:

We are given the following information in the question:

Jerry rain 2\frac{1}{2} miles and Henry ran 2.1 miles.

Henry claimed that he ran a farther distance.

This is a wrong claim because when we compare:

2\frac{1}{2} and 2.1

2\displaystyle\frac{1}{2} = \displaystyle\frac{5}{2} = 2 + 0.5 = 2.5\\\\2.5 > 2.1

Hence, Jerry ran a farther distance and not Henry.

Henry may have made some mistake in plotting   2\frac{1}{2} and 2.1 on the number line.

4 0
3 years ago
Identify an equation in point-slope form for the line perpendicular to
Alik [6]

Answer:

C

Step-by-step explanation:

Perpendicular lines have the exact opposite slope of the other equation.

So the slope will be x or 1x. Plug in

-8 = 1(4) + b (b represents y-intercept) like y=mx+b

-8 = 4 + b (subtract 4 on both sides)

-12 = b

The equation is y = x - 12

C

solve

y + 8 = x - 4 (subtract 8 on both sides)

y = x - 12

7 0
3 years ago
How many solutions does the nonlinear system of equations graphed below
fomenos

Answer:

Step-by-step explanation:

If this is the graph then the answer is two!

3 0
3 years ago
Read 2 more answers
please help. answer is 62.1m(squared) and the objects are composite! please show the work, no matter what i do i cant seem to ge
yuradex [85]

Answer:

SA=62.1\ m^2

Step-by-step explanation:

step 1

Find the surface area of the smaller rectangular prism

SA=2B+Ph

where

B is the area of the base

P is the perimeter of the base

h is the height of the prism

SA=2[(2.5)(1.5)]+2(2.5+1.5)(1.5)

SA=7.5+12=19.5\ m^2

step 2

Find the surface area of the cube

SA=6s^2

where

s is the length side of the cube

SA=6(2.5^2)=37.5\ m^2

step 3

Find the lateral area of the cylinder

LA=\pi DL

where

D is the diameter of the base

L is the length of cylinder

LA=(3.14)(0.5)(3.5)=5.495\ m^2

step 4

Find the area of the base of cylinder

A=\pi r^{2}

we have

r=0.5/2=0.25\ m ----> the radius is half the diameter

A=(3.14)(0.25)^{2}=0.19625\ m^2

step 5

Find the surface are of the composite figure

we know that

The surface area of the composite figure is equal to the surface area of the smaller rectangular prism plus the lateral area of the cylinder, plus the surface area of the cube, minus the area of the two bases of cylinder

so

SA=19.5+5.495+37.5-2(0.19625)=62.1\ m^2

5 0
3 years ago
What is the sum of the geometric sequence -4,24,-144...if there are 8 term? A.-959,781 B. 29,637 C. 26,661 D. 959,780 PLEASE HEL
Serggg [28]
It is d because I know it guys trust me it is easy.

7 0
3 years ago
Read 2 more answers
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