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vichka [17]
3 years ago
15

The ratio of the perimeters of two rectangles is 4 to 7. The perimeter of the larger rectangle is 42 inches. What is the perimet

er of the smaller rectangle?
Mathematics
1 answer:
Mumz [18]3 years ago
4 0
In this question, there are numerous information's of immense important already given. Based on those given information's the answer to the question can be easily deduced.
Ratio of the perimeter of two rectangles = 4:7
Perimeter of the larger rectangle = 42 inches
Let us assume the common ratio = x
Then
7x = 42
x = 42/7
   = 6
Then
Perimeter of the smaller rectangle = 4 * 6 inches
                                                         = 24 inches.
So the perimeter of the smaller rectangle is 24 inches. I hope the procedure and the answer is clear enough for you to understand. Based on this procedure, you can attempt similar problems without requiring any outside help.
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What is the equation of the line with an X intercept of negative 2 and Y intercept of one
forsale [732]

Answer:

y = 1/2x + 1

Step-by-step explanation:

Step 1: Find slope

(1-0)/(0+2) = 1/2

Step 2: Write equation

y = 1/2x + 1

8 0
3 years ago
A child lets go of a balloon that rises at a constant rate. 5 seconds after it was released, the balloon is at a height of 16 fe
Mama L [17]

Answer:

1. h = 2.4t + 4

2. 4 feet

3. 220 feet

Step-by-step explanation:

1. Write a linear model for the height, h, of the balloon as a function of the number of seconds, s that it has been raising.

Since the balloon rises at a constant rate, we find this rate by using the initial and final values of height and time at 5 seconds and 20 seconds respectively which are 12 feet and 52 feet respectively.

So, rate = gradient of line

= change in height/change  in time

= (52 ft - 16 ft)/(20 s - 5 s)

= 36 ft/15 s

= 2.4 ft/s

Now the equation of the line which shows the height is gotten from

(h - h')/(t - t') = rate

Using h'= 16 feet and t' = 5 s, we have

(h - 16)/(t - 5) = 2.4

h - 16 = 2.4(t - 5)

h - 16 = 2.4t - 12

h = 2.4t - 12 + 16

h = 2.4t + 4

where h is the height of the balloon above the ground and t is the time spent in the air in seconds.

2. What was the height of the balloon initially before the child let it go?

We obtain the initial height of the balloon before the child let go at time, t = 0 the time before the child let go.

So, substituting t = 0 into the equation for h, we have

h = 2.4t + 4

h = 2.4(0) + 4

h = 0 + 4

h = 4 feet

So, the height of the balloon before the child let go is 4 feet above the ground.

3. Use your model to predict the height of the balloon after 90 seconds.

We insert t = 90 s into the equation for h. So,

h = 2.4t + 4

h = 2.4(90) + 4

h = 216 + 4

h = 220 feet

So, the height of the balloon after 90 s is 220 feet above the ground.

8 0
3 years ago
Kara was baking a cake. The recipe called for 8.5 cups of flour and she put in 3.2 cups so far. How many more cups of flour does
alina1380 [7]

Answer:

5.3 cups of flour

Step-by-step explanation:

8.5 - 3.2 = 5.3 cups of flour

5 0
3 years ago
Whoever answers this correctly gets brainliest
elena55 [62]

Answer:

Its oval and yes........

4 0
3 years ago
Read 2 more answers
Please select the best answer from the choices provided
Lana71 [14]
<h3><u>Answer:</u></h3>

Hence, the value of z is:

20

<h3><u>Step-by-step explanation:</u></h3>

The point C is the mid point of the line segment VW.

That is it divides the line segment VW into two equal segments.

i.e. Length of segment VC= Length of line segment CW.

Also we are given that:

Length VW=61

Length VC=z+13

and Length CW=z+8

This means that:

VC+CW=VW

i.e. z+13+z+8=61

⇒ 2z+21=61

⇒ 2z=61-21

⇒ 2z=40

⇒ z=20

Hence the value of z is:

20

5 0
3 years ago
Read 2 more answers
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