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kiruha [24]
3 years ago
8

What is the exact volume of the prism below using the unit circle values?

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

Answer:

15cmerote

Step-by-step explanation:

Leni [432]3 years ago
5 0

Answer:

V=\frac{45\sqrt{3} }{2}cm^{2}

Step-by-step explanation:

Volume= Area*height

height: h=10cm

Area of isosceles triangle:

A=\frac{9\sqrt{3} }{4} cm^{2}

Volume:

V=\frac{9\sqrt{3} }{4}*10\\\\V=\frac{90\sqrt{3} }{4}\\\\V=\frac{45\sqrt{3} }{2}cm^{2}

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3. There are 124 acorns laying on the ground in your yard, it is predicted that the number of acorns will
Gennadij [26K]

Answer:

507,409

Step-by-step explanation:

if every 5 days the number quadruples (x4), and we want to know how many acorns fall after 30 days, we can divide 30 by 5 so we only have to calculate for the amount of time the take to quadruple.

30 ÷ 5 = 6

so we only have to quadruple the acorns 6 times.

if we start off with 124 acorns, this is what it will look like:

Day 0: 124 acorns

Day 5: 124 x 4 = 496 acorns

Day 10: 496 x 4 = 1984 acorns

Day 15: 1984 x 4 = 7936 acorns

etc... until day 30.

Day 30: 507904 acorns

I hope this was helpful :-)

5 0
3 years ago
Which of the following is an equivalent equation obtained by completing the square of the expression below? x^2+6x−8=0 A (x+3)^2
valentina_108 [34]

Answer:

Solving the equation x^2+6x-8=0 by completing the square method we get \mathbf{(x+3)^2=17}

Option B is correct option.

Step-by-step explanation:

We need to solve the equation x^2+6x-8=0 by completing the square method.

For completing the square method: we need to follow: a^2+2ab+b^2=(a+b)^2

We are given:

x^2+6x-8=0

Solving by completing the square

x^2+2(x)(?)+(?)^2-8=0

We need to find ? in our case ? is 3 because 2*3= 6 and our middle term is 6x i,e 2(x)(3)=6x.

So, adding and subtracting (3)^2

x^2+2(x)(3)+(3)^2-8-(3)^2=0\\(x+3)^2-8-9=0\\(x+3)^2-17=0\\(x+3)^2=17

So, solving the equation x^2+6x-8=0 by completing the square method we get \mathbf{(x+3)^2=17}

Option B is correct option.

7 0
3 years ago
Solve by using related function 1/2x^2 -2=0
Thepotemich [5.8K]

Answer:

1/2x^2-2=0

-

-

-

-

x=2,-2

4 0
3 years ago
Select the correct answer from each drop down menu. Consider the given table.
svet-max [94.6K]

Answer:

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5 0
4 years ago
A.104<br> B.95<br> C.85<br> D.114
GarryVolchara [31]

D 114 is the answer

7 0
3 years ago
Read 2 more answers
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