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Musya8 [376]
2 years ago
11

The length of a rectangle is 10 inches more than 4 times the width. If the area of the rectangle is 150 square

Mathematics
1 answer:
Elena-2011 [213]2 years ago
3 0

Answer:

width = 8, length = 42

Step-by-step explanation:

Let x = width, then length = 4x+10.

A = l x w

336 = x(4x+10) put into standard form

4x2 + 10x - 336 = 0 divide by 2

2x2 + 5x - 168 = 0 and solve using the quadratic formula and get

-21/2 and 8, the neg answer will not work, so the width = 8, length = 42

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lapo4ka [179]

Answer:

61

Step-by-step explanation:

(7 + 5) + 4 * 13 - 2

~Simplify using PEMDAS

12 + 4 * 13 - 2

12 + 52 - 3

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4 0
2 years ago
34 in.
Troyanec [42]

Answer:

Step-by-step explanation:

Lateral surface area of the triangular prism = Perimeter of the triangular base × Height

By applying Pythagoras theorem in ΔABC,

AC² = AB² + BC²

(34)² = (16)² + BC²

BC = \sqrt{1156-256}

     = \sqrt{900}

     = 30 in.

Perimeter of the triangular base = AB + BC + AC

                                                      = 16 + 30 + 34

                                                      = 80 in

Lateral surface area = 80 × 22

                                  = 1760 in²

Total Surface area = Lateral surface area + 2(Surface area of the triangular base)

Surface area of the triangular base = \frac{1}{2}(\text{Base})(\text{Height})

                                                           = \frac{1}{2}(30)(16)

                                                           = 240 in²

Total surface area = 1760 + 2(240)

                               = 1760 + 480

                               = 2240 in²

Volume = Area of the triangular base × Height

             = 240 × 20

             = 4800 in³

6 0
2 years ago
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Y = -1x+b
replace x and y to find b
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b = 4

Final:
y = -1x + 4
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16 X 9 = 144. Yes this is completely reasonable.
6 0
3 years ago
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