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WITCHER [35]
3 years ago
15

What is the volume of the right prism?

Mathematics
1 answer:
Vikentia [17]3 years ago
5 0

First find the area of the triangle using the formula Area = 1/2 x Base x height.

Area = 1/2 x 8 x 15 = 60

Now multiply the area by the length of the prism:

60 x 10 = 600


The volume is 600 in^3.

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Please help me with this math problem
goldfiish [28.3K]
If you look at the graph you can tell the graph is increasing before x = -2. 

From x = -2 to x = 0, it's decreasing.

Then it's increasing again from x = 0 to x = 2, then decreasing after x = 2

So answer is the last one
It is increasing before x = -2 and from x = 0 to x = 2
3 0
3 years ago
A person stands 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 meters
In-s [12.5K]

Answer:

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

Step-by-step explanation:

Given that,

A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.

From Pythagorean Theorem,

(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+

Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.

∴y²= x²+10²

\Rightarrow y=\sqrt{x^2+100}

Differentiating with respect to t

\frac{dy}{dt}=\frac{1}{2\sqrt{x^2+100}}. 2x\frac{dx}{dt}

\Rightarrow \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}. \frac{dx}{dt}

Since the car driving towards the intersection at 13 m/s.

so,\frac{dx}{dt}=-13

\therefore \frac{dy}{dt}=\frac{x}{\sqrt{x^2+100}}.(-13)

Now

\therefore \frac{dy}{dt}|_{x=24}=\frac{24}{\sqrt{24^2+100}}.(-13)

               =\frac{24\times (-13)}{\sqrt{676}}

               =\frac{24\times (-13)}{26}

               = -12 m/s

Negative sign denotes the distance between the car and the person decrease.

Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.

8 0
3 years ago
Samuel took out a personal loan of $13,000 at 7% simple interest. a. How much interest will he pay after 4 years? Show your work
Scorpion4ik [409]
Do 13,000x0.07=910 then do 910x4=3,640
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3 years ago
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Lemur [1.5K]

Answer:

6.4 kmph

Step-by-step explanation:

12.8/2=6.4 kmph

7 0
3 years ago
Stuart put $99 into a CD that pays 2.6% interest, compounded monthly. According to the Rule of 72, approximately how long will i
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72/2.6=27.7 years
Hope it helps :-)
4 0
3 years ago
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