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2 years ago

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An airplane is flying at an altitude of 4,000 ft and descends at a rate of 200 ft per minute. Is it proportional, if not why????

?

1 answer:

Dimas [21]2 years ago

5 0

Divide the altitude by the rate. If the number is even, it is proportionate.

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WILL MARK BRAINLIEST An architect is drafting a scale drawing of a house for an upcoming project. The customer wants the front o

kobusy [5.1K]

Answer:

60 ft is 720 in. I did 720/15...that equals 48. At this point i think each in in the drawing is a foot, so every one in is 48 ft.

(x+48)

there is no y because they only give information about one side. hope this helps. :)

Step-by-step explanation:

4 0

2 years ago

What is the equation of a line that passes through (1,5) and (3,11)? Show work please.

jekas [21]

First, find the gradient/slope:
Use slope formula:
m=(y2-y1)/(x2-x1)
=(11-5)/(3-1)
=6/2
=3
Then use the line equation formula:
y=mx+c
You can substitute (1,5) if you like, also must substitute the slope as well!
5=3x1+c
c=2
Then find the full equation, which gives you the answer:
y=3x+2

3 0

3 years ago

Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different

N76 [4]

Answer:

(a) As time increases, the amount of water in the pool increases.

11 gallons per minute

(b) 65 gallons

Step-by-step explanation:

From inspection of the table, we can see that <u>as time increases, the amount of water in the pool increases</u>.

We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.

The rate at which the water is increasing is the <em>rate of change</em> (which is also the <em>slope </em>of a linear function).

Choose 2 ordered pairs from the table:

$\textsf{let}\:(x_1,y_1)=(8, 153)$

$\textsf{let}\:(x_2,y_2)=(12,197)$

Input these into the slope formula:

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11$

Therefore, the rate at which the water in the pool is increasing is:

<u>11 gallons per minute</u>

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

$y-y_1=m(x-x_1)$

$\implies y-153=11(x-8)$

$\implies y-153=11x-88$

$\implies y=11x-88+153$

$\implies y=11x+65$

When Ann had added no water, x = 0. Therefore,

$y=11(0)+65$

$y=65$

So there was <u>65 gallons</u> of water in the pool before Ann starting adding water.

3 0

2 years ago

Read 2 more answers

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

Alex_Xolod [135]

Answer:

Rectangle shaped cross section is formed by intersection of plane and prism.

Step-by-step explanation:

Given: A rectangular Prism.

To find: Shape of Cross Section when a plane intersect the prism diagonally

A plane intersect the Rectangular prism .i.e, Cuboid diagonally which means plane passes from top edge of cuboid to edge on bottom on opposite side.

Figure is attached.

In this way we get a Rectangular shaped Cross section which includes edges of cuboid and diagonals of the side faces.

Therefore, Rectangle shaped cross section is formed by intersection of plane and prism.

6 0

3 years ago

The axis of the sphere below is 16 units in length. What is the surface area of the sphere?.

Nataly_w [17]

There are enough information's already given in the question. Based on those information's that answer can be easily deduced.
Radius of the sphere = 8 units
Then
Surface area of the sphere = 4 *pi * r^2
= 4 * pi * (8)^2
= 4 * pi * 64
= 256pi
I hope that this answer has come to your help.

5 0

3 years ago

Read 2 more answers