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Ivahew [28]
3 years ago
12

Find the volume of the triangular pyramid to the nearest whole number. the base is 12 the height is 17. and the apothem is 10 in

ches they are all inches.
Mathematics
2 answers:
tino4ka555 [31]3 years ago
5 0

Answer:

340 cubic inch

Step-by-step explanation:

We are given the base, height and apothem of a triangular prism.

Apothem means the height of the base of the prism

Base=12 inches

Height=17 inches

Apothem=10 inches

Volume of triangular prism=(Area of Base x Height) ÷ 3

Area of base= (Base×Apothem)÷2=12×10÷2

                                                        = 60 sq. in.

Volume=(60×17)÷3

            = 340 cubic inch.

soldi70 [24.7K]3 years ago
3 0
So the equation is (base *height)/2 
In this case: 12*17= 204 
204/2=102 in^3 
I hope I lead you to the right path. Im sorry if I am wrong.
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There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth grader
guajiro [1.7K]

Answer:

Sixth graders: 14

Seventh graders: 28

Eighth graders: 28

Step-by-step explanation:

To solve this you just have to use a rule of three to solve the percentages, remember that the 100% will be the 70 students, and we solve each case separetly:

70 students= 100%

sixth grades=   40%

Sixth grades= (40*70)/100

Sixth graders= 28

70 students= 100%

seventh grades=   20%

seventh graders=   (20*70)/100

Seventh graders=14

So if we have that the rest of the students are eighth graders, we just add up the sixth and seventh graders and withdraw them from the total:

28+14=42

70-42=28

SOwe have that the eighth graders are 28

7 0
3 years ago
Solve for x.<br> A. 5<br> B.7<br> OC. 6<br> OD. 8<br> 3<br> X<br> 5<br> 4
spayn [35]

Answer:

6

Step-by-step explanation:

5(5+3)=4(x+4) \\ \\ 40=4(x+4) \\ \\ 10=x+4 \\ \\ x=6

7 0
2 years ago
Deon's gas tank is  1/5  full. After he buys  13  gallons of gas, it is  7/10  full. How many gallons can Deon's tank hold?​
Doss [256]

Answer/Step-by-step explanation:

We start with the variable "x". Let's call "x" Dan's full tank.

So we know that right now he has 1/5x or 1/5 of a full tank.

After adding 13 gallons, at the end, he has 7/10x, or 7/10 of a full tank

So we start with

(1/5)x + 13 = 7/10x

Let's subtract 1/5x from both sides

13 = 7/10x - 1/5x

Remember, we need to use common denominators to subtract, so 1/3 becomes 2/10

13 = 7/10-2/10x

Now we simplify to get

13 = 5/10x

Multiply the reciprocal of 5/10 to both sides which is 10/5

13 * 10/5= x

Answer is 26 gallons.

Therefore, Deon's tank can hold 26 gallons.

4 0
3 years ago
Read 2 more answers
5/6 of 7 what is it. oopoo​
Westkost [7]

Answer:

5 5/6

Step-by-step explanation:

5/6 x 7 = 35/6 = 5 5/6

4 0
2 years ago
Pls help me solve :The salary of a man was increased in the ratio 40:47. Calculate the percentage increase in the salary A. 85.1
evablogger [386]
85.1% is the answer. Hope this helped.
5 0
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