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marysya [2.9K]
3 years ago
15

Determine the volume of the composite figure!

Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

Answer:

1017.88

Step-by-step explanation:

i used the formula of V=πr2h

3 a for the cone and then also 4

3πr3 for the sphere

plzmark branliest

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How many places do you need to move the decimal to the left to write the number below in scientific notation?
bonufazy [111]

Answer:

A) 1.3*10¹

B)7*10⁰ - Actually I am not very sure if it is required to write 10⁰. I normally don't write 10⁰ (When I solve problems in physics if the answer for example is 7 I just write 7 not 7*10⁰). But if you check on Google 10⁰ has been mentioned

C)1.4*10¹

D)1.2*10¹

Step-by-step explanation:

For any number when you express it in a scientific notation, You should make sure that the number (for example : X) X which is going to be multiplied with a power of 10 (for example:10³,10⁴10¹⁰ etc), X should be between 1 and 10

This might sound very complicated so I can give you an example to simplify

Let's take 1.3*10¹

In this case X is 1.3

This means X*10¹

The number X is being multiplied with the power of 10(example:10¹,10²,10⁰,10⁹ ,etc) .In the above case X is being multiplied with 10¹.

Now this number X should be between 1 and 10.(Including 1)

Scientific notation= X*power of 10

where x>=1 & x<10

That is the explanation

Hope it helps

If you think my explanation is a bit complicated

you can ask me again

5 0
3 years ago
A triangle has base 2x+1 and height 6x-3. What value of x would give an area of 240m2?
GREYUIT [131]

Answer:

The values of x which would give an area of 240m² would be:

x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}

Step-by-step explanation:

Given

The base of triangle b = 2x+1

The height of triangle h = 6x-3

The Area of the triangle A = 240 m²

The Area of the triangle has the formula

A = 1/2 × b × h

substituting b = 2x+1, h = 6x-3 and A = 240

240\:=\:\frac{1}{2}\:\left(2x+1\right)\:\times \left(6x-3\right)

480=\left(2x+1\right)\left(6x-3\right)

480=12x^2-3

Subtract 480 from both sides

12x^2-3-480=480-480

12x^2-483=0

3\left(4x^2-161\right)=0

3\left(2x+\sqrt{161}\right)\left(2x-\sqrt{161}\right)=0

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

2x+\sqrt{161}=0\quad \mathrm{or}\quad \:2x-\sqrt{161}=0

solving

2x+\sqrt{161}=0

2x=-\sqrt{161}

Divide both sides by 2

\frac{2x}{2}=\frac{-\sqrt{161}}{2}

x=-\frac{\sqrt{161}}{2}

also solving

2x-\sqrt{161}=0

2x=\sqrt{161}

Divide both sides by 2

\frac{2x}{2}=\frac{\sqrt{161}}{2}

x=\frac{\sqrt{161}}{2}

Therefore, the values of x which would give an area of 240m² would be:

x=-\frac{\sqrt{161}}{2},\:x=\frac{\sqrt{161}}{2}

3 0
3 years ago
6(3w+5)+6(3w+2)?<br><br><br><br> a<br> n<br> s<br> w<br> e<br> r
baherus [9]

Answer:

36x+42 if you need it simplified

x=-7/6 if you set the equation equal to zero

8 0
3 years ago
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greg wants to divide a 2 and 1/2 pound block of cheese into four equal pieces. How much will each piece weigh?
Alex73 [517]

let's firstly convert the mixed fraction to improper fraction and then divide.

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5 0
3 years ago
Convert the following equation from standard form to factored form.<br> f(x) = -x2 - 2x + 8
inessss [21]
-2(x-4) is the answer to your question
8 0
3 years ago
Read 2 more answers
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