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2 years ago

What is the surface area of a rectangular prism with the following dimensions? length: 8 cm width: 13 cm height: 10.5 cm

1 answer:

5 0

Height by width face = 10.5 * 13 = 136.50 sq cm height by length face = 10.5 * 8 = 84 sq cmwidth by length face = 13 * 8 = 104 sq cm

Since there are TWO of those faces, we get the total and multiply it by 2.
Total = 324.50 sq cm * 2
TOTAL AREA = 649 sq cm

Source:
http://www.1728.org/recsolid.htm

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Rufina [12.5K]

The result of the exponential expression is 81

<h3>Indices expressions</h3>

Indices are written in term of exponents

According to the expoenent law of indices

a^4 = a * a * a * a

Given the expression

(-3)^4

This means the product of -3 in four places. Mathematically

(-3)^4 = -3 * -3 * -3 * -3
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Learn more on exponents here: brainly.com/question/11975096

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2 years ago

Find the value of x in the given figure

Andrew [12]

Answer:

x = 32

Step-by-step explanation:

(2x + 60) + (3x - 40) = 180 because they are supplementary angles

5x + 20 = 180

5x = 160

x = 32

7 0

3 years ago

The graph shows the location of point P and point R. Point R is on the y-axis and has the same y-coordinate as point P. Point Q

Mumz [18]

Answer:

n = 5

Step-by-step explanation:

Coordinate of P = (n,3)

R is on y-axis & the y-coordinate of P & R are equal. So coordinate of R = (3,0)

Coordinate of Q = (n,-2)

Using distance formula,

Distance between P & Q =

$\sqrt{ {( n - n}) ^{2} + {( 3- ( - 2) })^{2} }$

$= > \sqrt{ {(3 + 2)}^{2} } = \sqrt{ {5}^{2} } = 5$

Distance between P & R =

$\sqrt{ {(n - 0)}^{2} + {(3 - 3)}^{2} }$

$= > \sqrt{ {n}^{2} } = n$

But in question it is given that distance between P & Q is equal to the distance between P & R. So,

$n = 5$

8 0

2 years ago

A sample of 50 observations is taken from an infinite population. The sampling distribution of : a.is approximately normal becau

Korvikt [17]

Answer:

a.is approximately normal because of the central limit theorem.

Step-by-step explanation:

The central limit theorem states that if we have a population with mean μ and standard deviation σ and we take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

For any distribution if the number of samples n ≥ 30, the sample distribution will be approximately normal.

Since in our question, the sample of observations is 50, n = 50.

Since 50 > 30, then our sample distribution will be approximately normal because of the central limit theorem.

So, a is the answer.

3 0

3 years ago

The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t2 − 0.5t + 3.5

N76 [4]

We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be

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The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.

At t=2: f(t)= 0.25(2)² − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)

The slope would then be

m = (9.5-3.5)/(6-2)
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Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.

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3 years ago