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Mrac [35]
3 years ago
7

The length of a rectangle is 3 inches longer then twice its width, where w is the width of the rectangle the area of the rectang

le is 90 square inches. Write an equation that represents the area and find the width and length of the rectangle.
Mathematics
1 answer:
vaieri [72.5K]3 years ago
6 0
A = w(2w + 3)
90 = 2w^2 + 3w
2w^2 +3w - 90 = 0
(w-6)(2w+15) = 0        (TRINOMIAL FACTORING)
w = 6 inch                   ( it can't be -15/2 because lengths can't be negative)
l = 2w + 3
  = 15 inch
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I’m not quite sure how to answer this question.
Marina CMI [18]

When two shapes are mathematically similar, that means that all their sides are in a proportion.

We know the sieds of EH and AD, and so we can find the proportion of the shapes using these two sides.

EH/AD = 6/9 = 2/3

The ratio of EFGH to ABCD is 2:3

Now we have to find BC.

Becuase they're in proportion, we can form this equation:

\frac{8}{BC} = \frac{2}{3}

Cross multiply:

24 = 2*BC

Divide both sides by 2:

BC = 12 cm

Good luck!

6 0
3 years ago
The dimension of a mural pointed on the wall of a school is 10 ft by 22 ft. the art club wants to paint a new mural that is x fe
Westkost [7]

Answer:

  • 18 ft and 30 ft

Step-by-step explanation:

<u>The new dimensions will be:</u>

  • 10 + x and 22 + x

The area is 540

<u>Using area equation we get:</u>

  • (10 + x)(22 + x) = 540
  • x² + 32x + 220 = 540
  • x² + 32x = 320
  • x² + 2x*16 + 256 = 320 + 256
  • (x + 16)² = 576
  • x + 16 = √576  (Ignoring the negative root as the length is never negative)
  • x + 16 = 24
  • x = 8

<u>The new dimensions are:</u>

  • 10 + 8 = 18 ft and
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6 0
2 years ago
The difference of x and 18 is greater than or equal to -12<br><br>its a inequality question
slavikrds [6]

Writing the word problem as an equation you get:

x - 18 ≥ -12

Now to solve for x:

Add 18 to both sides of the inequality:

x ≥ -12 + 18

Simplify:

x ≥ 6

6 0
3 years ago
What is the value of a in the equation 5a – 10b = 45, when b = 3?
lara31 [8.8K]
Here you go. Do you think that you could help me with my question

5a – 10b = 45 
5a – 10(3) = 45 
5a – 30 = 45 
+30 +30 
5a = 75/5 
<span>a = 15</span>
8 0
3 years ago
Read 2 more answers
Vince weighs 160 pounds, and his friend Nadir weighs 140 pounds. Nadir calculated that his weight on another planet would be abo
Oksanka [162]

Answer:76

Step-by-step explanation:

Vince=160

Nadir=140, which =56 on another planet. 140-56=84, so there's an 84lbs weight difference.

160-84=76 pick c

4 0
3 years ago
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