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natali 33 [55]
3 years ago
6

The length of a rectangle is (x plus 3) inches long, and the width is 3 2/5 inches. If the area is 15 3/10 square inches, write

and solve an equation to find the length of the rectangle??? Plz I will give you 100 points
Mathematics
1 answer:
IgorC [24]3 years ago
6 0

Answer: Explained in the step-by-step


Step-by-step explanation:

We want to isolate x, and remember, what we do to one side we do to the other:

(x+3) * 3  2/5 = 15  3/10

(x+3) * 3  2/5 divided by 3  2/5 = 15  3/10  divided by 3  2/5

x + 3 = 153/10 * 5/17

x + 3 = 765/170

x + 3 = 153/34

x + 3 = 4.5

x + 3 - 3 = 4.5 - 3

x = 1.5

Check:

(1.5+3) * 3  2/5 = 15  3/10

4.5 * 3  2/5 = 15  3/10

(3  2/5 = 3.4 and 15  3/10 = 15.3)

4.5 * 3.4 = 15.3

15.3 = 15.3

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Solve for x.<br> y = (5+x}m<br> Answer?
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x=ym−4

Step-by-step explanation:

y=(4+x)m

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Consider the diagram below. which of the following represents the values x,y and z?
Gemiola [76]

Answer:

x=4\sqrt{6}\ units

y=4\sqrt{2}\ units

z=4\sqrt{3}\ units

Step-by-step explanation:

The picture of the question in the attached figure

step 1

In the right triangle ABD

Applying the Pythagorean Theorem

x^2=y^2+(12-4)^2

x^2=y^2+64

y^2=x^2-64 ----> equation A

step 2

In the right triangle BDC

Applying the Pythagorean Theorem

z^2=y^2+4^2

z^2=y^2+16

y^2=z^2-16 ----> equation B

step 3

In the right triangle ABC

Applying the Pythagorean Theorem

12^2=x^2+z^2

144=x^2+z^2 ----> equation C

step 4

Equate equation A and equation B

x^2-64=z^2-16

x^2=z^2+48 -----> equation D

step 5

substitute equation D in equation C

144=z^2+48+z^2

solve for z

2z^2=144-48

2z^2=96

z^2=48

z=\sqrt{48}\ units

simplify

z=4\sqrt{3}\ units

Find the value of x

x^2=z^2+48

x^2=48+48=96

x=\sqrt{96}\ units

x=4\sqrt{6}\ units

Find the value of y

y^2=z^2-16

y^2=48-16

y^2=32

y=\sqrt{32}\ units

y=4\sqrt{2}\ units

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3 years ago
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Answer:

.

<_>

.

()_()

.

Step-by-step explanation:

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