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Nataly [62]
3 years ago
7

The triangular base of a skateboard ramp has an area of 2.3 square meters. The height of the ramp is 1.2 meters. Find the volume

of the triangular prism
Mathematics
1 answer:
Sergeu [11.5K]3 years ago
4 0

Answer:

The volume of the triangular prism is 2.76\ m^{3}

Step-by-step explanation:

we know that

The volume of the triangular prism is equal to

V=BH

where

B is the area of the triangular base

H is the height of the prism

In this problem we have

B=2.3\ m^{2}

H=1.2\ m

substitute the values

V=(2.3)(1.2)=2.76\ m^{3}

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Pounds gained by people in your class during the first month of the semester on example of which type of data? 1. Qualitative
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Answer:

quantitative

Step-by-step explanation:

Weight is a continuous variable, and so the numbers of pounds gained by people in your class is quantitative.

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3 years ago
if a state issued license plates using the scheme of one letter followed by five digits, how many plates could it use
charle [14.2K]

Answer:

786240 different license plates.

Step-by-step explanation:

4 0
3 years ago
I need it step by step please​
Citrus2011 [14]

Answer:

The equation of the line passes through (3, -2) and parallel to the given line:

  • y = 3x-11

The equation of the line passes through (3, -2) and perpendicular to the given line:

  • y=-\frac{1}{3}x-1

Step-by-step explanation:

Given the points on the graph line

(2, -1)

(1, -4)

Finding the slope between (2, -1) and (1, -4)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(1,\:-4\right)

m=\frac{-4-\left(-1\right)}{1-2}

m=3

Equation of the line passes through (3, -2) and parallel to the given line.

We know that parallel lines have the same slope.

so the equation of the line parallel to the given line = 3

Thus, using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 3 and the point (3, -2)

y - (-2) = 3(x-3)

y+2 = 3x-9

y = 3x-9-2

y = 3x-11

Therefore, the equation of the line passes through (3, -2) and parallel to the given line:

y = 3x-11

The equation of the line passes through (3, -2) and perpendicular to the given line

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = 3

perpendicular slope = – 1/m = -1/3 = -1/3

Therefore, substituting the values of perpendicular slope = -1/3 and the point (3, -2) in the point-slope form of the line equation

y-\left(-2\right)=-\frac{1}{3}\left(x-3\right)

y+2=-\frac{1}{3}\left(x-3\right)

subtract 2 from both sides

y+2-2=-\frac{1}{3}\left(x-3\right)-2

y=-\frac{1}{3}x-1

Therefore, the equation of the line passes through (3, -2) and perpendicular to the given line:

y=-\frac{1}{3}x-1

Conclusion:

The equation of the line passes through (3, -2) and parallel to the given line:

  • y = 3x-11

The equation of the line passes through (3, -2) and perpendicular to the given line:

  • y=-\frac{1}{3}x-1

8 0
3 years ago
2. Jaclyn estimates the square root of 50 in the following way:
Oksanka [162]

Answer:

(B) 7.1 is the estimated square  root of 50

Step-by-step explanation:

A. √50 =  √2 √25

= 5√2.

Jaclyn did not take the square root of 2.

B. We estimate the square root of 2.

Trial and improvement:

It must lie between 1 and 2 so we try 1.5:

1.5 * 1.5 = 2.25

Its  < 1.5 so try 1.4

1.4 * 1.4 = 1.96.

So it is a little above 1.4.

Try 1.45:

1.45 * 1.45                        

     1.45

  *  1.45

       -------

            725

          5800

         14500

       2.1025

= 2.1025.

- this is above 2 so the answer is between 1.40 and 1.45 but closer to 1.4.

A good estimate is 1.42

So the square root of 50 is about 5*1.42 = 7.1

         

       

5 0
3 years ago
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