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Dafna11 [192]
3 years ago
8

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, don’

t the height.

Mathematics
1 answer:
cupoosta [38]3 years ago
5 0

Answer:

The height of rectangle is 5 inches

Step-by-step explanation:

<u><em>The correct question is</em></u>

A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle’s diagonal measurement is 13 inches, Find the height

Let

x -----> the width of the rectangle in inches

y ----> the height of the rectangle in inches

d ---> diagonal measurement of the rectangle in inches

we know that

Applying the Pythagorean Theorem

d^2=x^{2}+y^{2}

we have

d=13\ in

so

13^2=x^{2}+y^{2}

169=x^{2}+y^{2} ----> equation A

x=y+7 ---> equation B

substitute equation B in equation A

169=(y+7)^{2}+y^{2}

solve for y

169=y^2+14y+49+y^{2}

2y^2+14y+49-169=0

2y^2+14y-120=0

solve the quadratic equation by graphing

using a graphing tool

The solution is y=5

see the attached figure

therefore

The height of rectangle is 5 inches

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If 14 people show up to a cookout and you make 21 hot dogs, how many will you need to make if 105 people up? plz help
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158 hot dogs will be prepared if 105 people show up

Step-by-step explanation:

14 people show up to make 21 hot dogs

We need to find how many hot dogs will be prepared if 105 people show up?

We will solve this problem using Unitary method

Solving:

14 people make hot dogs=21

1 person makes hot dogs = 21/14

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4 years ago
1
Monica [59]

Answer:

x = 8

Step-by-step explanation:

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From the given options x = 8 is the only solution which is greater than -3.

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If you were to graph it, then it would look exactly like C.

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Answer:

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