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blondinia [14]
3 years ago
14

HURRY! What is the volume of the prism?

Mathematics
2 answers:
lesya [120]3 years ago
8 0

Answer:

36

Step-by-step explanation:

defon3 years ago
3 0

Answer:

33 cm

Step-by-step explanation

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a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s
shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman  = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\

To find the speed, we have to differentiate both sides with respect to time 't'

\frac{dy}{dt} =\frac{3}{2}\frac{dx}{dt}\\\frac{dy}{dt}=\frac{3}{2} \times 4\\\frac{dy}{dt} = 6

Speed of tip of her shadow = 6 ft

To learn more about similarity of triangles, refer to the link-

brainly.com/question/14285697

#SPJ4

6 0
1 year ago
How many coefficients are in 5z squared +16
Viktor [21]
5z^2 + 16

a coefficient is a number multiplied by a variable (a letter). so there is only ONE coefficient in this expression and it is 5.
3 0
3 years ago
Jaden is flying a kite and let’s off 275 feet of string. If the kite is 150 feet above ground and assuming the string is straigh
vivado [14]

Answer:

≈ 33°

Step-by-step explanation:

So, first, you can draw a visual. Refer to the image attached below:

Using this info, you can use trigonometric ratios. Recall that:

tangent = opposite side/adjacent side

sine = opposite side/ hypotenuse

cosine = adjacent side/hypotenuse

You can clearly see that you have an opposite side and a given hypotenuse. This means we'll be using sine.

So:

sinX = \frac{150}{275}

However, we're not trying to find sinX, we're trying to find X.

So we would have to use inverse sine, which would then be:

X = sin-1 (\frac{150}{275} )

Put this into your calculator, and:

X ≈ 33.05573115...

3 0
3 years ago
Which of the following is the simplest form of this expression?
Softa [21]

Step-by-step explanation:

which expression there is no expression here

4 0
3 years ago
Simplify: 12xy - 6x + 3y -10xy - 5y
Darina [25.2K]

Answer:

2xy - 6x +2y

Step-by-step explanation:

12xy - 10xy = 2xy

5y - 3y = 2y

2xy - 6x + 2y

5 0
3 years ago
Read 2 more answers
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