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erica [24]
3 years ago
9

The width of a rectangle is 5 units less than the length. If the area is 150 square units, then find the dimensions of the recta

ngle
Mathematics
1 answer:
Dafna1 [17]3 years ago
7 0

⇛L = W + 5

⇛L × W = 150 sq. units

⇛W (W + 5) = 150

⇛W² + 5W = 150

⇛W² + 5W - 150 = 0

⇛[(W - 10) (W + 15)] = 0

⇛W = -10 , 15 (reject negative width)

☞ Width of rectangle is 10 units

☞ Length of rectangle is 15 units

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12. Find the surface area of each figure to the nearest tenth.
Zolol [24]

Answer:

  12a. 471.2 cm²

  12b. 60 m²

Step-by-step explanation:

Part A.

The surface area of each figure is the sum of the end area and the lateral area.

  <u>cylinder</u>

  S = (2)(πr²) +2πrh = 2πr(r +h)

  S = 2π(5 cm)(5 cm +10 cm) =150π cm² ≈ 471.2 cm²

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  <u>triangular prism</u>

  S = (2)(1/2)bh + PL . . . . b=triangle base; h=triangle height; P=triangle perimeter; L=length of prism

  S = (4 m)(1.5 m) + ((4 + 2·2.5) m)(6 m) = (6 + 54) m² = 60 m²

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Part B.

Surface area is useful in the real world wherever products are made from sheets of material or wherever coverings are applied.

Carpeting or other flooring, paint, wallpaper are all priced in terms of the area they cover, for example.

The amount of material used to make containers in the shapes shown will depend on the area of these containers (and any material required for seams).

6 0
2 years ago
Two angles are supplementary one angle measure 12 more than the other find the measures
Furkat [3]
We have a + b = 180 and a = 12 + b;
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a = 96;
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3 years ago
HURRY WILL MARK BRAINLESS <br>Which expression is equivalent to ပါ။ (C) - -​
OleMash [197]

First to Answer

Answer:

The correct option is the third option. -2 1/4 / -2/3 = 3 3/8

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7 0
2 years ago
Please help thanks thanks thanks ty
Archy [21]

Answer:

104 degrees

Step-by-step explanation:

First let's start by finding Angle DGC. Since Angle FGD and DGC are a linear pair, Angle DGC = 180-90 = 90 degrees.

Next we need to find GDC

Angles in a triangle add up to 180 degrees therefore...

Angle GDC + DCG + DGC = 180

Plug in the values we found into the equation

Angle GDC + 37 + 90 = 180

Angle GDC + 127 = 180

Angle GDC = 53

Therefore Angle ADC = 53 + 51 = 104 degrees

Since ABCD is a parallelogram, then opposite angles are equal therefore...

Angle B = 104 degrees

3 0
2 years ago
I need help with this in math right now I'm struggling
kaheart [24]

Answer:

y=-4x-2

Step-by-step explanation:

linear function, y = mx+c

the y intercept of the graph,c, is -2

thus y = mx - 2

substitute a point on the graph into the equation, (2,-1)

2 = m(-1) -2

m = - 4

thus equation of graph is y = -4x-2

3 0
2 years ago
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