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Iteru [2.4K]
3 years ago
14

The prism below has a volume of 21 cubic units.The base is a right triangle with legs that have lengths of 2 units and 3 units,F

ind the height of the prism
Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer:

The height of the prism is 7 unit  

Step-by-step explanation:

Given as :

The volume of right triangle prism = v = 21 cubic unit

The length of one base = b_1 = 2 unit

The length of other base = b_2 = 3 unit

Let The height of the prism = h unit

<u>Now, According to question</u>

Volume of prism = \dfrac{1}{2} ×  b_1 ×  b_2× height

Or, v =  \dfrac{1}{2} ×  b_1 ×  b_2× h

Or, 21 cubic unit =  \dfrac{1}{2} × 2 unit × 3 unit × h unit

Or, 21 =  \dfrac{1}{2} × 6 × h

Or, 21 = 3 × h

∴   h = \dfrac{21}{3}

i.e h = 7 unit

So,The height of the prism = h = 7 unit

Hence, The height of the prism is 7 unit  Answer

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-3x^{2}-21x-54 what are the zeros? (Solutions)
Irina-Kira [14]
The only way to solve if it is equal to something
assuming that the teacher wanted you to make it equal to zero do
0=-3x^2-21x-54

remember if we can do
xy=0 then assume x and y=0

so factor

0=-3x^2-21x-54
undistribute the -3
0=-3(x^2+7x+18)
remember 0 times anything=0 so
x^2+7x+18 must equal zero
use quadratice formula which is

if you have
ax^2+bx+c=0 then
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}

x^2+7x+18
a=1
b=7
c=18

x=\frac{-7+/- \sqrt{7^{2}-4(1)(18)} }{2(1)}
x=\frac{-7+/- \sqrt{49-72} }{2}
x=\frac{-7+/- \sqrt{-23} }{2}
i=√-1
x=\frac{-7+/- i\sqrt{23} }{2}



the zerose would be
x=\frac{-7+ i\sqrt{23} }{2} or \frac{-7- i\sqrt{23} }{2}




4 0
3 years ago
I’m doing operations and interfers<br> Need the answer have a test tmr
arsen [322]

Answer:

all work for both worksheets are pictured and shown

Step-by-step explanation:

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5 0
3 years ago
What is the gcf of 42 and 10
kolbaska11 [484]

Answer:

2

Step-by-step explanation:

Make a list

10: 1, <u>2, </u>5, 10

42: 1,<u> 2,</u> 3, 6, 7, 14, 21

6 0
4 years ago
In a certain year, there were 92 female officials in Congress, which is comprised of the House of Representatives and the Senate
crimeas [40]

Answer:

There are 78 female members of the House of Representatives and 14 female members of the Senate.

Step-by-step explanation:

Let h equal the amount of female members of the House of Representatives and s equal the amount of female members in the Senate.

Since the amount of female officials in Congress is 92, and is made up of the House of Representatives and the Senate, we can represent this as the equation h+s=92

Since there are 64 more female members in the House of Representatives than female Senators, the senators would need 64 more female members to have the same amount as the House of Representatives. We can represent this as h=s+64.

Substituting, we get s+64+s=92, which simplifies to 2s+64=92. Subtracting 64 from both sides, we get 2s=28, which equals to s=14. There are 14 female senators. Substituting back into h+s=92, 14+s=92, and s=78. Therefore, there are 78 female members of the House of Representatives and 14 female members of the Senate.

8 0
2 years ago
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Anni [7]

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Use sin to solve (opposite/hypotenuse)

let x= length of CV

sin(37)=x/55

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8 0
3 years ago
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