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3 years ago

What is the surface area of the cube below?

Mathematics

1 answer:

Elden [556K]3 years ago

7 0

Answer:

150 units^2

Step-by-step explanation:

A cube has all equal sides. This one has five units for every side.

There are 6 faces here, and 4 vertices for every face.

The equation would look like this 6 x side^2.

Which would also equal to 6 x 5^2.

If you do this, you will find that the answer is 150 units^2.

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Find the equation of a line that contains the points (6, -7) and (8,5). Write the equation in slope-intercept form.

Anna [14]

Answer:

y = 6x - 43

Step-by-step explanation:

(6, -7) and (8,5)

m=(y2-y1)/(x2-x1)

m=(5 + 7)/(8 - 6)

m= 12/2

m = 6

y - y1 = m(x - x1)

y + 7 = 6(x - 6)

y + 7 = 6x - 36

y = 6x - 43

6 0

3 years ago

Convert the angle 1.5 radians to degrees, rounding to the nearest 10th.

Keith_Richards [23]

Answer:

85.9 (to the nearest hundredth)

Step-by-step explanation:

1 radian = 180°/ $\pi$

Therefore, 1.5 radians = 1.5 x (180°/ $\pi$ ) = 270/ $\pi$ = 85.9 (to the nearest hundredth)

8 0

3 years ago

Read 2 more answers

Solve the equation. X- 8 = 12

beks73 [17]

Answer:

4 0

3 years ago

Read 2 more answers

A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a s

Umnica [9.8K]

Answer:

88.51 is the minimum score needed to receive a grade of A.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 73

Standard Deviation, σ = 11

We are given that the distribution of exam grades is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

We have to find the value of x such that the probability is 0.0793.

$P( X \geq x) = P( z \geq \displaystyle\frac{x - 73}{11})=0.0793$

$= 1 -P( z \leq \displaystyle\frac{x - 73}{11})=0.0793$

$=P( z \leq \displaystyle\frac{x - 73}{11})=0.9207$

Calculation the value from standard normal z table, we have,

$P(z \leq 1.410) = 0.9207$

$\displaystyle\frac{x - 73}{11} = 1.410\\x =88.51$

Hence, 88.51 is the minimum score needed to receive a grade of A.

3 0

3 years ago

-2(x-5)=6(2- 1/2x)<br><br> Please show your work. Distributive property, remove variable

schepotkina [342]

The solution of given equation is x=2

Further explanation:

In order to solve the given equation we have to isolate the variable x on one side of the equation. The process will involve distributive property and simplification.

Given:

$-2(x-5)=6(2-\frac{1}{2}x)\\Apply\ distributive\ property\\-2x-2(-5)=(6)(2)-(6)(\frac{1}{2}x)\\-2x+10=12-\frac{6}{2}x\\-2x+10=12-3x\\-2x+3x=12-10\\x=2$

The solution of given equation is x=2

Keywords: Linear Equation, Distributive property

Learn more about linear equations at:

#LearnwithBrainly

6 0

4 years ago