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lina2011 [118]
3 years ago
14

Emily's younger brother, Kenny, begged her to make him a superhero costume for Halloween this year, so of course Emily did! Emil

y sewed a 600-square-inch trapezoid-shaped cape with a big "K" on it. The length along the top of the cape was 24 inches, and the length along the bottom was 36 inches what is the height
Mathematics
1 answer:
iris [78.8K]3 years ago
6 0

Answer:

20 inches

Step-by-step explanation:

Since the cape is trapezoid shaped and has an area of 600 in², the area of a trapezoid is given by

A =1/2(a + b)h where a = length along the top of the cape = 24 in, b =  length along the bottom of the cape = 36 in and h = height of the cape

So, h = 2A/(a + b)

= 2 × 600 in²/(24 in + 36 in)

= 1200 in²/60 in

= 20 in

So, the height of the cape is 20 inches

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The finite geometric sequence has 10 terms. The sum of all terms with even index is 682 and the sum of all terms with odd index
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Answer:

First term=1024

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Step-by-step explanation:

Index means its position

Even index means the 2nd, 4th, 6th ....terms

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4 years ago
Nico wants to use a horizontal number line to compare 1 3/4
e-lub [12.9K]

Answer:

1 3/4 is greater than 1.5.

Step-by-step explanation:

1. To make a line that measures 1 3/4, make 2 regular lines.

2. Divide one of the lines into 4 equal sections and erase the one section and leaving you with 1 3/4.

To make the 1.5:

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4 years ago
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Find f such that f'(x) = 5x² + 9x - 7 and f(0) = 8.
faltersainse [42]

Answer:

\frac{5}{3}x^3+\frac{9}{2}x^2-7x+8\\

Step-by-step explanation:

Integrate your function with respect to x to get the non-differentiated form.

\int(5x^2+9x-7)dx=\frac{5}{3}x^3+\frac{9}{2}x^2-7x+c\\

Plug in your known value of x to get your value for your constant

f(0) = 8\\ \frac{5}{3}(0^3)+\frac{9}{2}(0^2)-7(0)+c = 8 \\c=8

This gives you your function to be

\frac{5}{3}x^3+\frac{9}{2}x^2-7x+8\\

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3 years ago
Hey can you please help me posted picture of question
ElenaW [278]
A is your answer my friend
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3 years ago
What does "place value" mean? Give specific examples of systems that use place value and those that do not.
zaharov [31]

Answer:

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Step-by-step explanation:

In the number 456, the "5" has a face value of 5. Value = The place value of the digit times its face value. Example: Find the value of the digits 6, 8 and 4 in the number 684.

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