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Nadya [2.5K]
3 years ago
10

What steps should be taken to calculate the volume of the right triangular prism? Select three options.

Mathematics
2 answers:
Marrrta [24]3 years ago
8 0

Answer:

a,d, and e

Step-by-step explanation:

Mariana [72]3 years ago
5 0

Answer:

Options A, D and E.

Step-by-step explanation:

Formula to calculate the volume of the triangular prism is,

Volume of the triangular prism = (Area of the triangular base)×(height)

                                                    = B × h

Area of the right triangular base = \frac{1}{2}(\text{Base})(\text{height})

                                                      = \frac{1}{2}(8)(14)

                                                      = 56 m²                                                    

                   Volume of the prism = (56)(7)

                                                      = 392 cubic meter

Therefore, from the given options correct options are Option A, Option D and Option E.

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What is the logarithmic form of the solution to 102t = 9?
Harman [31]

Equivalent equations are equations that have the same value

The equation in logarithmic form is t = \frac{\log(9)}{2}

<h3>How to rewrite the equation</h3>

The expression is given as:

10^{2t} = 9

Take the logarithm of both sides

\log(10^{2t}) = \log(9)

Apply the power rule of logarithm

2t\log(10) = \log(9)

Divide both sides by log(10)

2t = \frac{\log(9)}{\log(10)}

Apply change of base rule

2t = \log_{10}(9)

Divide both sides by 2

t = \frac{\log_{10}(9)}{2}

Rewrite as:

t = \frac{\log(9)}{2}

Hence, the equation in logarithmic form is t = \frac{\log(9)}{2}

Read more about logarithms at:

brainly.com/question/25710806

8 0
3 years ago
The equation of the circle is (x+8)^2+(y+9)^2=169. Which of the following are the center and the radius of the circle
ipn [44]
The equation for a circle is (x - h)^2 + (y - k)^2 = r^2
where (h, k) is the center and r is the radius
(x + 8)^2 + (y + 9)^2 = 169
Since the equation is -h and -k, I will rewrite in terms of -h and -k.
(x - -8)^2 + (y - -9)^2 = 13^2
The center is (-8, -9) and the radius = 13
Let me know if you need me to explain further.
3 0
3 years ago
Solve for x plz help fast
erastovalidia [21]

Pythagoras theorem I guess

7 0
3 years ago
70 points and i’ll give brainliest!! please answer all the questions on the page! must show work and how you got the answer. ple
Bezzdna [24]

6. One variable only so pretty straightforward.

length-x+4

width-x

x+x+4=80

2x=76

x=38

x+4=42

answer: length 42cm and width 38cm

7. Another money problem!

n-# of nickels

q-# of quarters

n=3+q

0.05n+0.25q=2.85

Substitution works like a charm!

0.05(3+q)+0.25q=2.85

0.15+0.05q+0.25q=2.85

0.3q=2.7

q=9

n=3+q

n=3+9

n=12

answer: 9 nickels and 12 quarters

8. One variable situation again.

Ann's money-2b+9

Betty's money-b

b+2b+9=60

3b=51

b=17

2b+9=43

answer: Ann has $43 and Betty has $17.

9. # of red m&m's-x+1

# of blue m&m's-x

x+1+x=13

x=6

x+1=7

answer: 6 blue and 7 red m&m's

10. a-number of adult tickets

s-number of student tickets

a+s=785 ----> a=785-s

5a+2s=3280

5(785-s)+2s=3280

-3s=-645

s=215

a+s=785

a+215=785

a=570

answer: 215 children tickets and 570 adult tickets

3 0
3 years ago
Can someone simplify these expressions (c)
creativ13 [48]

Answer:

c)

(10x+5)-(-23-2x)=

10x+5+23+2x

=12x+28

2x+5x^2-(3x+7x^2)=

2x+5x^2-3x-7x^2

= -2x^2-1

8 0
3 years ago
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