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3 years ago

PLEASE HELP! THANK YOU! Explain your answer!!!

Mathematics

1 answer:

Brrunno [24]3 years ago

6 0

Answer:

1) y = 1/2 x + 3 and y = 1/2 x are parallel

2) y = 1/2 x + 4 and y = 1/2 x + 1 are parallel

Step-by-step explanation:

Two lines are parallel only if their slope is equal.

In the first problem:

y = 1/2 x + 3 and y = 1/2 x have same slope ( i.e slope = 1/2)

That means these two equations are parallel to each other.

In the second problem:

y = 1/2 x + 4 and y = 1/2 x + 1 have same slope( i.e slope = 1/2)

Hence above two equations are parallel to each other.

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What is the shaded portion of the circle

blagie [28]

Answer:

$(5\pi-11.6)\ ft^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the sector minus the area of the triangle

step 1

Find the area of the circle

the area of the circle is equal to

$A=\pi r^{2}$

we have

$r=5\ ft$

substitute

$A=\pi (5)^{2}$

$A=25\pi\ ft^{2}$

step 2

Find the area of the sector

we know that

The area of the circle subtends a central angle of 360 degrees

by proportion find out the area of a sector by a central angle of 72 degrees

$\frac{25\pi}{360}=\frac{x}{72}\\ \\x=72*25\pi /360\\ \\x=5\pi\ ft^{2}$

step 3

Find the area of triangle

The area of the triangle is equal to

$A=\frac{1}{2}(2.9+2.9)(4)= 11.6\ ft^{2}$

step 4

Find the area of the shaded region

Subtract the area of the triangle from the area of the sector

$(5\pi-11.6)\ ft^{2}$

8 0

3 years ago

When planning road development, the road commission estimates the future population using the function represented in the table,

Sindrei [870]

The significance of 160,000 in the function is the initial population at the time of the estimation.

The correct option is (C)

A collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.

Given:

As per the table attached below:

F(x) signify the total population when the time was x hour.

So, 160,000 in the function signifies that the population at starting i.e., initial point.

Learn more about this concept here:

brainly.com/question/17112729

#SPJ1

7 0

2 years ago

0.008 is 1/10 of what

sp2606 [1]

0.008 x 1/10 = 0.0008

8 0

3 years ago

Identify the first 4 terms in the geometric sequence given by the explicit formula ƒ(n) = 4 × 2(n – 1).

saw5 [17]

Step-by-step explanation:

1st term =4×2(1-1)=0

2nd term=4×2(2-1)=8

3rd term=4×2(3-1)=16

4th term=4×2(4-1)=24

4 0

3 years ago

Please Answer!!!!

Morgarella [4.7K]

Answer:

A). F = $\frac{9C}{5}+32$

B). 374°F

Step-by-step explanation:

A). Formula to convert the temperature from degree centigrade to °F is,

C = $\frac{5}{9}(F-32)$

We have to solve the formula to get the value of F,

9 × C = $9\times \frac{5}{9}(F-32)$

9C = 5(F - 32)

$\frac{9C}{5}=\frac{5(F-32)}{5}$

$\frac{9C}{5}=(F-32)$

F = $\frac{9C}{5}+32$

B). In this part we have to find the value of 190° C in °F.

From the formula given in part (A),

F = $\frac{9\times 190}{5}+32$

= 374°

Therefore, 190°C = 374°F

8 0

3 years ago