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patriot [66]
3 years ago
12

Noah and Maggie are making a rectangular picture frame.They want the length of the frame to be three inches longer than the widt

h. If the perimeter is 42”, what are the dimensions of their frame?
Mathematics
1 answer:
zalisa [80]3 years ago
7 0

Answer:

9 inches by 12 inches

Step-by-step explanation:

So let's say <em>L</em>=length and <em>W</em>=width.

Since the problem states that the length should be 3 inches longer than the width, <em>L</em><em>=</em><em> </em>W+3

And the formula to find the perimeter of a rectangle is 2L+2W

so plug in W+3 for L and you get 2(W+3)+2W

Then distribute

2W+6+2W

Combine like-terms

4W+6

And the problem states the perimeter is 42 inches so,

4W+6=42

Subtract 6 to both sides

4W=36

Divide by 4 to both sides

W=9

So the width is 9

And to get the length, plug in 9 for W in L=W+3

L=9+3

L=12

So the length is 12

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3 0
3 years ago
The radius of the cone is 7 in and y = 25 in. What is the volume of the cone in terms of π? A cone with a right triangle formed
Lady bird [3.3K]

Answer:

142.1π in³

Step-by-step explanation:

Given that:

The radius (r) =  7 in

The slant height (y) = 25 in

Then the height (x) can be determined by using the Pythagoras rule:

y² = x² + r²

25² = x² + 7²

125 = x² + 49

125 - 49 = x²

x² = 76

x = √76

x = 8.7

The formula for the volume of a cone is;

= 1/3 πr²h

where;

height(h) is calculated as "x" from above = 8.7

Then;

= 1/3 × π × (7 in)² × 8.7 in

= 142.1π in³

5 0
2 years ago
Read 2 more answers
What is the sum of the two expressions -2.9a+6.8 and 4.4a-7.3
Lady bird [3.3K]

Answer:

1.5a - 0.5

Step-by-step explanation:

Add like terms

4.4 - 2.9 = 1.5

7.3 - 6.8 = 0.5

4 0
2 years ago
If the Ferris Wheel goes around twice in 1 1/2 minutes, how many times will it go around in nine minutes
Tanzania [10]

Answer:

12

Step-by-step explanation:

I am pretty sure this is the answer. If it is correct i can give the explanation

4 0
3 years ago
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Jill flipped a coin 40 times. The coin landed as heads 28 times and tails 12 times. Based on her results, which of the following
ella [17]
There are many conclusions we can come to for this!

70% of the flips were heads, and 30% are tails

28/40 was heads, and 12/40 were tails

There were more heads than tails

There were 14 more heads than tails

:)
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3 years ago
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