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3 years ago

7

A Triangular prism with a triangular base of 8 in. and height of 6in. and a prism height of 4in. What is the surface area of the

prism

1 answer:

Minchanka [31]3 years ago

3 0

I think the answer would be 8 in.... does it have any anser choices?

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What is the solution to the inequality 2x<20

Keith_Richards [23]

The given expression is

$2x$

We just have to divide by 2

$\begin{gathered} \frac{2x}{2}$ <h2>Hence, the solution is all real numbers less than 10.</h2>

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1 year ago

Solve the system of linear equations by substitution.

loris [4]

The solution to the system is (-2,-8)

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3 years ago

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Event A is a subset of event B. P(A)=.15 and P(B)=.53 Find P(A|B). Round the answer to the nearest hundredth.

ludmilkaskok [199]

If $A\subseteq B$ , then $A\cap B=A$ . So

$\mathbb P(A\mid B)=\dfrac{\mathbb P(A\cap B)}{\mathbb P(B)}=\dfrac{\mathbb P(A)}{\mathbb P(B)}=\dfrac{0.15}{0.53}\approx0.28$

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3 years ago

Arrange the steps in the correct order to solve the equation 3 (2^2t-5 )- 4=10

liberstina [14]

The equation to be solved is: 3 [ 2 ^ (2t - 5) ] - 4 = 10

The steps are:

1) transpose - 4=> 3 [ 2^ (2t - 5) ] = 10 + 4

2) Combine like terms => 3 [2^ (2t - 5) ] = 14

3) Divide both terms by 3 => 2^ (2t - 5) = 14 / 3

4) Take logarithms of both sides => (2t - 5) log (2) = log (14/3)

5) Divide both sides by log (2) =>

                log (14/3)
2t - 5 = -------------------
                 log (2)

6) transpose - 5+>

                log (14/3)
2t = ------------------- + 5 = 2.22 + 5
                 log (2)

2t = 7.22

7) divide both sides by 2 => t = 7.22 / 2 = 3.61

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3 years ago

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Use the graph to find the slope and y-intercept to write the equation in slope-intercept form.

Fiesta28 [93]

Answer:

$m = -\frac{1}{2}$

$y\ intercept = -1$

$y = -\frac{1}{2}x -1$

Step-by-step explanation:

Given

$(x_1,y_1) = (-2,0)$

$(x_2,y_2) = (0,-1)$

Required

Determine the slope and y intercept from graph

To calculate the slope, we have:

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

$m = \frac{-1-0}{0 - (-2)}$

$m = \frac{-1}{0 +2}$

$m = -\frac{1}{2}$

The y intercept is when $x = 0$

So,

$y\ intercept = -1$

The equation is then calculated using:

$y = m(x - x_1) + y_1$

This gives

$y = -\frac{1}{2}(x - (-2)) + 0$

$y = -\frac{1}{2}(x - (-2))$

$y = -\frac{1}{2}(x +2)$

$y = -\frac{1}{2}x -\frac{1}{2}*2$

$y = -\frac{1}{2}x -1$

<em>See attachment for graph</em>

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3 years ago

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