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3 years ago

Can someone please answer this question.

Mathematics

1 answer:

Klio2033 [76]3 years ago

6 0

Use the Pythagorean theorem to solve for the diagonal distance

Diagonal = sqrt(50^2 + 150^2)

Diagonal distance = sqrt(25,000)

Diagonal distance = 158.11 feet

Round to 158 feet.

If the stayed on the sidewalk they would walk 50 + 150 = 200 feet.

The distance they saved = 200-158 = 42 feet

Answer: 42 feet.

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Jacklynn wondered how much of the moon covers if half of the moon is shaded. She learned in Science Class that the moon has radi

Lesechka [4]

Answer:

6.3 × 10⁶ square miles

Step-by-step explanation:

We are given,

The radius of the moon is approximately 1000 miles.

We know that the moon resembles a sphere and also,

Area of sphere = $4\pi r^{2}$ , where r is the radius.

Now, the area of the moon = $4\pi 1000^{2}$ = 1.26 × 10⁷ square miles

Since, only the half of the area is clear to view.

So, the area left to view = $\frac{1.26\times 10^7}{2}$ = 6.3 × 10⁶ square miles.

Hence, the area of the moon in view is 6.3 × 10⁶ square miles.

8 0

4 years ago

A company makes t-shirts and their research shows that that price and demand are related linearly: p = m x + b . They know that

allsm [11]

Answer:

The linear equation relating price to demand is Q=-0.5*P + 30

Step-by-step explanation:

The demand for a good is the quantity of that good that the demanders are willing to purchase at a given price.

Then, the Demand Curve relates the quantity that a consumer would be willing to buy as a function of price.

You seek to determine the linear equation that relates the price to the demand Q = m * P + b where Q is the quantity demanded at a price P, and compared with the equation of the straight line y = mx + b, m is the slope and b is the ordinate to the origin.

On a line of the form y = m * x + b, the value of m, having two points, is calculated by:

$m=\frac{y2-y1}{x2-x1}$

And the ordinate to the origin b is calculated, taking the value of m, replacing any of the two points (replacing any of the two because it must give the same value of b) in the expression y = m * x + b and solving its value.

In the case of Q=m*P+b, the value of m, having two points, is calculated by:

$m=\frac{Q2-Q1}{P2-P1}$

Being:

Q1= 5
P1= $50
Q2= 10
P2= $40

and replacing:

$m=\frac{10-5}{40-50}$

you get:

m= -0.5

So, being Q=-0.5*P+b, b is calculated by:

Replacing the point Q1= 5 and P1= 50

5= -0.5*50 + b → 5= -25 + b → 5+25= b → b= 30

Replacing the point Q1= 10 and P1= 40

10= -0.5*40 + b → 10= -20 + b → 10+20= b → b= 30

Then, the linear equation relating price to demand is Q=-0.5*P + 30

8 0

3 years ago

Two planes just took off from Charlotte NC. The first plane is traveling 1.5 times as fast as the second plane. After traveling

Ksju [112]

Givens

Slower plane

r = r

t = 2.5 hours

d = d

Faster Plane

r_faster = 1.5 * r

t = 2.5 hours

d1 = d + 127.5

The time is the same for both

t = d/r

d1/r1 = d/r

(d+ 127.5)/1.5r = d/r Multiply each side by r

(d + 127.5)/1.5 = d Multiply both sides by 1.5

d + 127.5 = 1.5d Subtract d from both sides.

127.5 = 1.5d - d

127.5 = 0.5d Divide by 0.5

127.5 / 0.5 = d

255 = d

Now you can go back and figure out the rates.

First find d1

d1 = d + 127.5

d1 = 255 + 127.5

d1 = 382.5

Rate of the slower plane

d = 255

t = 2.5 hours

r = d/t

r = 255/2.5

r = 102 miles per hour.

Faster plane

d1 = 382.5 miles

t = 2.5 hours

r1 = d/t

r1 = 382.5/2.5 = 153 miles per hour.

5 0

3 years ago

Lily buys some of her clothes from the mall. If 100% of her shirts are from the mall and she owns 86 shirts, how many of Lily's

const2013 [10]

Answer:

the answer is 86

Step-by-step explanation:

the answer is 86 because if all of her shirts are from the mall and she has 86 of them, 100% of 86 is 86

6 0

4 years ago

The formula V =s3 where s repesents the lengthe of an edge can be use to find the value of a cud . What is the volume of a cud t

fiasKO [112]

Answer:

1728 cubic inches

Step-by-step explanation:

Given that the formula

$V=s^3$ ,

where s represents the length of an edge that can be used to find the value of a cud.

Given that a cud has edge as 12 inches

Using the above formula we can find volume by substituting for s.

Here we substitute s =12 inches so that we get volume in cubic inches

Volume of the cud = $12^3\\=12*12*12\\\\=1728$

1728 cubic inches

7 0

3 years ago