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kotykmax [81]
2 years ago
10

What is the volume of the right triangular prism shown below? V = Bh b = 1/2bh

Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
6 0

Answer:

165

Step-by-step explanation:

V=BH

B=\frac{1}{2\\}BH

V=(\frac{1}{2} x 5 x 6) x 11

V= (\frac{30}{2}) x 11

V= 15 x 11

V= 165 ft^{2}

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4 years ago
A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row. How many seats are
Anna35 [415]

Answer:

8428

Step-by-step explanation:

According to the Question,

  • Given, A theater has 56 rows of seats. If there are 13 seats in the first row, 18 in the 2nd row, 23 in the 3rd row.

We have a number sequence  13, 18, 23, ...

  • We can say that this is an arithmetic sequence because of the common difference 'd', is equal to 5, and the first term 'a1' is equal to 13.
  • The formula for the sum of an arithmetic sequence with n terms is given is S_n= \frac{n}{2} [2a_1+(n-1)d]S .

Substitute the given values into the equation to solve for the sum of the 56 rows of seats.

S_56= \frac{56}{2}[2(13)+(56-1)(5)]\\S_{56}=28\left[26+275\right]\\S_{56}=28\left[301\right]\\S_{56}=8428

Therefore, there are 8428 seats in all.

4 0
3 years ago
Rita has $b. Sharron has $11.50 less than Rita.
taurus [48]

Answer:

h = b - 11.50

Step-by-step explanation:

Sharron(h) has 11.50 less than Rita(b)

h = b - 11.50

3 0
3 years ago
In 2005, the population of a state was 31,006,000. If the population grows at 1. 2% per year, approximately how many years ( fro
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3n - 5 = -8(6 + 5n) <br><br> what does n equal?
Mariana [72]

3n - 5 = -8(6 + 5n)

3n - 5 = -48 - 40n

3n + 40n = -48 + 5

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3 years ago
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