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3 years ago

The following wedge prism has a volume of

Mathematics

1 answer:

tiny-mole [99]3 years ago

6 0

Answer:

The volume of the prism is 27 cubic inches.

Step-by-step explanation:

In order to calculate the volume of the given prism, we need to apply the correct formula. The volume of the wedge prism is given by the following formula:

$Volume = \frac{1}{2}*b*h*l$

Applying the data from the problem on the equation above, we have:

$Volume = \frac{1}{2}*6*4.5*2\\Volume = 6*4.5\\Volume = 27$

The volume of the prism is 27 cubic inches.

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The sides of a triangle are in the ratio 12:17: 25 and its perimeter is 540cm. The area is:

Feliz [49]

1000

Step-by-step explanation:

Find the height of the triangle using the Pythagoras theorem

Then, use it to calculate the area of the triangle

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3 years ago

If y varies directly as x, and y is 18 when x is 5, which expression can be used to find the value of y when x is 11?

Rzqust [24]

Y=kx is the direct variation equation
First plug in the x, y values given to find K
18=k(5)
18/5=k
3.6 = k
Use the k and write a new equation.
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Plug in the x value to solve for y.
y = 3.6(11)
y= 39.6

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3 years ago

Please answer Ill give 5 stars to right answers: a neighbors dog barked at tana the last 4 out of 5 times she walked by their ho

oksian1 [2.3K]

Ratio of dog bark is 4:5

Multiply that by 20 each side

Ratio is now 80:100

So 80%

If they walk past 45 time you just have to multiply the ratio 4:5 by 9

36:45

So the dog would bark 36 times

6 0

2 years ago

A softball pitcher has a 0.675 probability of throwing a strike for each pitch and a 0.325 probability of throwing a ball. If th

Dafna11 [192]

Answer:

The probability that exactly 19 of them are strikes is 0.1504

Step-by-step explanation:

The binomial probability parameters given are;

The probability that the pitcher throwing a strike, p = 0.675

The probability that the pitcher throwing a ball. q = 0.325

The binomial probability is given as follows;

$p(x) = _{n}C_{x}\cdot p^{x}\cdot q^{1-x}$

Where:

x = Required probability

Therefore, the probability that the pitcher throws 19 strikes out of 29 pitches is found as follows;

The probability that exactly 19 of them are strikes is given as follows;

$\binom{29}{19}(0.675)^{19}0.325^{10} = \frac{29!}{19!\times 10!}\times (0.675)^{19}\times 0.325^{10} = 0.1504$

Hence the probability that exactly 19 of them are strikes = 0.1504

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3 years ago

Given: 5n - 42 - 12n: Prove: n = -6<br> Statements : <br><br> Reasons :

OlgaM077 [116]

5*-6-42-12*12*-6=0
the answer is: 0

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3 years ago