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2 years ago

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A triangular prism is 18 feet long and has a triangular face with a base of 9 feet and a height of 14 feet. What is the volume o

f the triangular prism?

2 answers:

tangare [24]2 years ago

6 0

The answer is 1,134.

Elanso [62]2 years ago

6 0

Answer:

it is 1,134

Step-by-step explanation:

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A parabola has a focus of F(2, -0.5) and a directrix of y=-1.5 P(x,y) represents any point on the parabola, while D(x, -1.5) rep

prohojiy [21]

The sketch of the parabola is attached below

We have the focus $(a,b) = (2, -0.5)$
The point $P(x,y)$
The directrix, c at $y=-1.5$

The steps to find the equation of the parabola are as follows

Step 1
Find the distance between the focus and the point P using Pythagoras. We have two coordinates; $(2, -0.5)$ and $(x,y)$ .
We need the vertical and horizontal distances to find the hypotenuse (the diagram is shown in the second diagram).
The distance between the focus and point P is given by
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$

Step 2
Find the distance between the point P to the directrix $c$ . It is a vertical distance between y and c, expressed as $y-c$

Step 3
The equation of parabola is then given as
$\sqrt{ (x-a)^{2}+ (y-b)^{2} }$ = $y-c$
$(x-a)^{2}+ (y-b)^{2}= (y-c)^{2}$ ⇒ substituting a, b and c
$(x-2)^{2}+ (y--0.5)^{2} = (y--1.5)^{2}$
$(x-2)^{2}+ (y+0.5)^{2}= (y+1.5)^{2}$ ⇒Rearranging and making $y$ the subject gives

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

7 0

3 years ago

Which unit of measure is the most reasonable to measure the length from your house to the grocery store?

Inga [223]

D.miles
Because the grocery store should be a few miles from your home.

4 0

2 years ago

Read 2 more answers

Help me please thank you

lilavasa [31]

Answer:

22 m^2

Step-by-step explanation:

The area of the bottom rectangle is A = l*w

The length is 8 and width is 2

A = 8*2 =16

The area of the top rectangle is A = l*w

The length is 3 and width is 2

A = 3*2 =6

Adding the areas together

A = 16+6 = 22

3 0

2 years ago

PLEASE HELP!!! Show your work too, please!

dimulka [17.4K]

Step-by-step explanation:

first fish tank: 95-4x

second fish tank: 40+5x

1. Define variable

The variable x represents the number of days.

2. Write the inequality

<em>95-4x=40+5x</em>

<em />

3. You probably don't need the answer but I am just going to solve.

The first fish tank will have less water than the second fish tank after 7 days.

<em>95-4x=40+5x </em>

<em>95-4(7)=40+5(7)</em>

<em>95-28=40+35</em>

<em>67=75</em>

<em>Since the first equation (95-4x) represents the first fish tank, and the second equation (40+5x) represents the second fish tank, the solution shows how the amount of water in the first fish tank is less than the amount of water un the second fish tank after 7 days.</em>

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2 years ago

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Sara says, "If you subtract 17 from my number and multiply the difference by - 6, the result is

Oksana_A [137]

Soiejidhhdihihdidhdjidjdidhidhdihdihiddd

3 0

2 years ago

Read 2 more answers