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Nata [24]
2 years ago
14

the length and width of a rectangle are 4 feet and 3 feet, respectively. a similar rectangle has a width of 9 feet. what is the

length of the second rectangle?
Mathematics
1 answer:
icang [17]2 years ago
8 0

Answer:

4 times 3 similar is 9 it could be something times 9 for the second.

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Find the volume of the composite space figure to the nearest whole number.
Romashka [77]

Answer:

  d.  944 mm^3

Step-by-step explanation:

The area of a circle is given by ...

  A = πr² . . . . . where r is the radius, half the diameter

The area of a circle with diameter 9 mm is ...

  A = π(4.5 mm)² = 20.25π mm²

The area of the semi-circular end of the prism is half this value, or ...

  semicircle area = (1/2)(20.25π mm²) = 10.125π mm² ≈ 31.809 mm²

__

The area of the rectangular portion of the end of the prism is the product of its width and height:

  A = wh = (9 mm)(6 mm) = 54 mm²

Then the base area of the prism is ...

  base area = rectangle area + semicircle area

  = (54 mm²) +(31.809 mm²) = 85.809 mm²

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This base area multiplied by the 11 mm length of the prism gives its volume:

  V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the composite figure is about 944 mm³.

7 0
3 years ago
Determine the growth defined by the equation y = 6(.79)^x. Is this exponential growth or exponential decay?
Scorpion4ik [409]

Answer:

exponential decay

Step-by-step explanation:

4 0
3 years ago
What is 516.3606 rounded to the nearest hundredths
liraira [26]
516.36 because the thousandth digit isn't above 5 so you don't round up
6 0
3 years ago
Read 2 more answers
Could someone please help me figure out how to set up the equation for this problem? Thanks!
faust18 [17]

Answer:

12

Step-by-step explanation:


The sum of the measures of the interior angles is given by:


(n-2)*180\\


n:sides of the polygon


And in a convex polygon the sum of the exterior angles sums 360°


Then


(n-2)*180=5*(360)


You just solve it and the answer is 12.



6 0
3 years ago
Let f(x) = 3x + 5 and g(x) = -4x + 7 find (f o g)(-4)
Keith_Richards [23]
<span>(f o g)(-4)
=-4(3x+5)+7
</span><span>=-4(3(-4)+5)+7</span><span>
= 35</span>
5 0
2 years ago
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