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Ivenika [448]
4 years ago
6

A rectangular prism is 6 inches long, 3 inches wide, and 2 inches high. What is its surface area?

Mathematics
1 answer:
Serga [27]4 years ago
6 0
We can l<span>abel the length (l), width (w), and height (h) of the prism and use the </span>formula<span>, SA=2lw+2lh+2hw, because it has '6' faces and to find the </span>surface area put the values in the formula:

SA=2(6)(3)+2(6)(2)+2(2)(3)
SA=36+24+12
SA=72
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The formula for the area A of a rectangle with a length of 5 inches is A = 5w, where w is the
Varvara68 [4.7K]

Answer:

Width 2 4 6 8

Area 10 20 30 40

Step-by-step explanation:

Area of a rectangle = length × width

Calculate width when length = 5 inches

When length = 5 inches and width = 2 inches

Area of a rectangle = length × width

A = 5 × 2

= 10 square inches

When length = 5 inches and width = 4 inches

Area of a rectangle = length × width

A = 5 × 4

= 20 square inches

When length = 5 inches and width = 6 inches

Area of a rectangle = length × width

A = 5 × 6

= 30 square inches

When length = 5 inches and width = 8 inches

Area of a rectangle = length × width

A = 5 × 8

= 40 square inches

Given the same length and different width

Width 2 4 6 8

Area 10 20 30 40

8 0
3 years ago
1.Find the slope of the line through (-6, 11) and (15, 20).
GrogVix [38]

Answer:

\boxed {\boxed {\sf m= \frac{3}{7} }}

Step-by-step explanation:

We are asked to find the slope of a line. The slope tells us the steepness and direction of a line. It is found by dividing the change in y by the change in x.

m= \frac{ \Delta y }{\Delta x}

m= \frac{y_2-y_1}{x_2-x_1}

In this formula, (x₁, y₁) and (x₂, y₂) are the points the line passes through. We are given the points (-6, 11) and (15,20). If we match a value with its corresponding variable, we see that:

  • x₁ = -6
  • y₁ = 11
  • x₂ = 15
  • y₂ = 20

Substitute the values into the formula.

m= \frac{20-11}{15 - -6 }

Solve the numerator.

m= \frac{9}{15--6}

Solve the denominator. 2 back to back negative signs become a positive sign.

m= \frac{9}{15+6}

m= \frac{9}{21}

Simplify the fraction. 3 divides evenly into the numerator and denominator.

m= \frac{9/3}{21/3}

m= \frac{3}{7}

The slope of the line is <u>3/7.</u>

6 0
3 years ago
Read 2 more answers
The state of wyoming has roughly the shape of a rectangle that is 3.6 x 102 miles long and 2.8 x 102 miles high. what is the app
miv72 [106K]

Assuming a regularly shaped rectangle, the formula for the area is given as:

A = L * W

where L and W are the length and width respectively

A = 3.6 x 10^2 miles * 2.8 x 10^2 miles

A = 100,800 square miles

or

<span>A = 10.08 x 10^2 miles</span>

4 0
4 years ago
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Dr. Jones is interested in studying how white noise can influence participants' sleep quality.
Kitty [74]

Answer: Fatigue level

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6 0
3 years ago
Perimeter of a square is (12x-2y). What is the algebraic expression for the length of the side of the square?
sashaice [31]

Answer:

s = 3x - (1/2)y

Step-by-step explanation:

The perimeter of a square is 4s, where s is the side length.  Here,

12x - 2y = 4s, and so s = 3x - (1/2)y

6 0
4 years ago
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