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ozzi
3 years ago
5

Help please!! What’s the volume of the triangular prism?

Mathematics
2 answers:
8_murik_8 [283]3 years ago
5 0

Answer:

\large\boxed{D.\ 168\ units^2}

Step-by-step explanation:

\text{The formula of a volume of a prism:}\\\\V=BH\\\\B-base\ area\\H-height\\\\\text{In the base we have the right triangle.}\\\text{The formula of an area of a right triangle:}\ A=\dfrac{ab}{2}\\\\a,b-legs\\\\\text{We have}\ a=6\ \text{and}\ b=8.\ \text{Substitute:}\\\\B=\dfrac{(6)(8)}{2}=\dfrac{48}{2}=24\\\\\text{Calculate the volume:}\\H=7\\\\V=(24)(7)=168\ units^2

Eva8 [605]3 years ago
3 0

To find the volume of a triangular prism, we have to multiply the area of the base by the heigh of the prism.

Let's first identify our values:

7 = height of the prism

6 = base of triangle

8 = height of triangle

First, we have to multiply the base of the triangle by the height of the triangle. The base of the triangle is 6 and the height of the triangle is 8. Then, we have to divide it by 2.

6 × 8 = 48

48 ÷ 2 = 24

Finally, we have to multiply 24 by the height of the prism. 24 × 7 = 168

Therefore, the volume of the prism is 168 units^{2}

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LekaFEV [45]

Answer: y-1=\dfrac32(x+3)

Step-by-step explanation:

Slope of a line passes through (a,b) and (c,d) = \dfrac{d-b}{c-a}

In graph(below) given line is passing through (-2,-4) and (2,2) .

Slope of the given line passing through (-2,-4) and (2,2) =\dfrac{-4-2}{-2-2}=\dfrac{-6}{-4}=\dfrac{3}{2}

Since parallel lines have equal slope . That means slope of the required line would be .

Equation of a line passing through (a,b) and has slope m is given by :_

(y-b)=m(x-a)

Then, Equation of a line passing through(-3, 1) and has slope =  is given by

(y-1)=\dfrac32(x-(-3))\\\\\Rightarrow\ y-1=\dfrac32(x+3)

Required equation: y-1=\dfrac32(x+3)

8 0
3 years ago
HELP PLEASE my teachers always force me to turn on my camera during class unless I have a valid excuse can anyone give me a crea
allsm [11]

Answer: My internet connection is not good enough.

Step-by-step explanation: This one may be pretty commonly used but also a common problem people always have and it's pretty unavoidable. Tell her that the call\meeting gets super laggy and then ends up freezing and that doing it over voice is a better option for you so you can get the best learning experience or something like that. Basically pretend you care until he\she believes it.

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4 0
2 years ago
Read 2 more answers
Giselle works as a carpenter and as a blacksmith. She earns $ 2 0 $20dollar sign, 20 per hour as a carpenter and $ 2 5 $25dollar
dem82 [27]
She worked as a carpenter for 12 hours and as a blacksmith for 18 hours.

Assuming you mean she earned $20 as a carpenter and $25 as a blacksmith per hour, with a total of 30 hours for $690,
let c represent carpenter hours and b for blacksmith hours.

20c + 25b = 690
c + b = 30
Subtract b from each side so that c = 30 - b
Plug this value into the first equation

20(30 - b) + 25b = 690
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600 + 5b = 690
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3 0
3 years ago
Read 2 more answers
What is the frequency of the sinusoidal graph ?
disa [49]

Answer:

The frequency of the given sinusoidal graph is 4.

Step-by-step explanation:

The frequency of a sinusoidal graph is the number of cycles it completes in the interval 0 to 2π radians.

From the given sinusoidal graph it is noticed that the the graph complete its one cycle in the interval 0 to \frac{\pi}{2}.

If the complete its one cycle in \frac{\pi}{2}, then the number of cycles completed by the graph in the inteval 0 to 2π is

\frac{\pi}{2}\times frequency=2\pi

frequency=2\pi \times \frac{2}{\pi}

frequency=4

Therefore the frequency of the given sinusoidal graph is 4.

7 0
3 years ago
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Elena L [17]

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no or equal to so we have a positive slanted dotted line

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3 years ago
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