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3 years ago

Find the volume of the triangular prism, given the area of the base is 14 cm2 and the height of the prism is 15 cm.

Mathematics

1 answer:

laiz [17]3 years ago

3 0

Answer:

210 cm³

Step-by-step explanation:

RULE :

the volume of the triangular prism = the area of the base × the height

= 14 × 15

= 210

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R (-3,1) and S (-1,3) are points on a circle. If RS is a diameter, find the equation of the circle.

ELEN [110]

Answer:

$\sf (x+2)^2+(y-2)^2=2$

Step-by-step explanation:

If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.

$\sf midpoint=\left(\dfrac{x_s-x_r}{2}+x_r,\dfrac{y_s-y_r}{2}+y_r \right)$

$\sf =\left(\dfrac{-1-(-3)}{2}+(-3),\dfrac{3-1}{2}+1 \right)$

$\sf =(-2, 2)$

Equation of a circle: $\sf (x-h)^2+(y-k)^2=r^2$

(where (h, k) is the center and r is the radius)

Substituting found center (-2, 2) into the equation of a circle:

$\sf \implies (x-(-2))^2+(y-2)^2=r^2$

$\sf \implies (x+2)^2+(y-2)^2=r^2$

To find $\sf r^2$ , simply substitute one of the points into the equation and solve:

$\sf \implies (-3+2)^2+(1-2)^2=r^2$

$\sf \implies 1+1=r^2$

$\sf \implies r^2=2$

Therefore, the equation of the circle is:

$\sf (x+2)^2+(y-2)^2=2$

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2 years ago

How To Write ten hundredths in standard form

jekas [21]

Answer:

Ten hundredths in standard from is 0.1.

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3 years ago

At the start of 2014, Mike's car is worth 12000. the car depreciates by 30 percent every year. how much is his car worth in 2017

Anarel [89]

Answer:

$4,116

Step-by-step explanation:

Worth of Mike's car at the start of 2014 = $12,000

If the car is said to depreciates every year by 30% = 30/100 = 0.3

The worth of the car at the start of 2017 is what we are to determine.

This means that the car depreciated by 30% (0.3) for 3 years since 2014 (2017 - 2014 = 3 yrs)

The worth at the start of 2017 would be calculated as follows:

12,000 × (1 - 0.3)³

= 12,000 × (0.7)³

= 12,000 × 0.343

= 4,116

Worth of the car at the start of 2017 would be $4,116

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3 years ago

Select the graph that represents the given set. (Click on the graph until the correct one is showing.) A = {(1, 2), (2, 3), (3,

fenix001 [56]

Answer:

the 4th graph

Step-by-step explanation:

the x-axis is first (the horizontal line), then the y-axis is next ( vertical line). you have to with the pairs that you are given. {(1, 2)...} you find the 1 on the x-axis then move up 2 space. that will be your first dot. then you do the same with the rest of them

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3 years ago

How do three planes intersect at one point?

natima [27]

Imagine a corner of a cube.
It is made of three planes interesting at a single point
The image should help.

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3 years ago