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nikklg [1K]
4 years ago
5

2.) [ 2 points] The graph to the right shows the distance in

Mathematics
2 answers:
Softa [21]4 years ago
8 0
I need help with this to
Greeley [361]4 years ago
7 0

Answer:

Step-by-step explanation:

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A street light is mounted at the top of a 15-ft-tall pole. A man 6 feet tall walks away from the pole with a speed of 5 ft/s alo
harina [27]

Answer:

25/3 ft/s

Step-by-step explanation:

Height of pole , h=15 ft

Height of man, h'=6 ft

Let BD=x

BE=y

DE=BE-BD=y-x

All right triangles are similar

When two triangles are similar then the ratio of their corresponding sides are equal.

Therefore,

\frac{AB}{CD}=\frac{BE}{DE}

\frac{15}{6}=\frac{y}{y-x}

\frac{5}{2}=\frac{y}{y-x}

5y-5x=2y

5y-2y=5x

3y=5x

y=\frac{5}{3}x

Differentiate w.r.t t

\frac{dy}{dt}=\frac{5}{3}\frac{dx}{dt}

We have dx/dt=5ft/s

Using the value

\frac{dy}{dt}=\frac{5}{3}(5)=\frac{25}{3}ft/s

Hence, the tip of  his shadow moving  with a speed 25/3 ft/s when he is 45 feet from the pole.

8 0
3 years ago
Read 2 more answers
Solve the equation:<br> y^2=-11y
bazaltina [42]

Answer:

-5.5

Step-by-step explanation:

divide both sides by y which deleted y on the right side. then the left side turns into y instead of y squared. then you have y equals -5.5

8 0
3 years ago
The dimensions of a rectangular prism are length is 2 1/4 feet width is 1 foot and height is 1 1/4 feet and the length of the si
miskamm [114]

Answer: A - 30 cubes

B - Volume of prism =  feet³

Step-by-step explanation: We are given that the dimensions of the rectangualr prism is,

Length =  =  feet

Width = 1 foot

Height =  =  feet

Thus, the volume of the prism = Length × Width × Height

i.e. Volume of the prism =  × 1 ×  =  feet³

Now, the side of the cube =  foot each.

Volume of the cube =  =  feet³

5 0
3 years ago
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On a standardized test, Rall answered the first 22 questions in 5 minutes. There are 77 questions on the test. If he continues t
Rasek [7]
Data:
Questions = 77
Anwered = 22
<span>Missing = 77 - 22 = 55
</span>
Solving:

Questions ________ Time
22 -------------------------- 5
55 -------------------------- t

<span>Multiply cross:
</span>
22*t = 55*5
22t = 275
t =  \frac{275}{22}
\boxed{t = 12,5minutes}
3 0
3 years ago
Estimate to find the quotient if 823 divided by 23​
ivanzaharov [21]

Answer:

Step-by-step explanation:

35.7826087

I'm guessing you want it estimated to the nearest tenth so 35.8

4 0
3 years ago
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