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3 years ago

What is the value of X?

Mathematics

1 answer:

il63 [147K]3 years ago

4 0

2 1/2x - 3/4(2x+5)=3/8 3/8=0.375 2.5x - 0.75(2x+5)=0.375 2.5x - 1.5x - 3.75 = 0.373 2.5x-1.5x=4.12 1x=4.12 X= 4 1/8

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Work out the volume of the shape

pashok25 [27]

Answer:

$\large\boxed{V=\dfrac{1,421\pi}{3}\ cm^3}$

Step-by-step explanation:

We have the cone and the half-sphere.

The formula of a volume of a cone:

$V_c=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have r = 7cm and H = (22-7)cm=15cm. Substitute:

$V_c=\dfrac{1}{3}\pi(7^2)(15)=\dfrac{1}{3}\pi(49)(15)=\dfrac{735\pi}{3}\ cm^3$

The formula of a volume of a sphere:

$V_s=\dfrac{4}{3}\pi R^3$

R - radius

Therefore the formula of a volume of a half-sphere:

$V_{hs}=\dfrac{1}{2}\cdot\dfrac{4}{3}\pi R^3=\dfrac{2}{3}\pi R^3$

We have R = 7cm. Substitute:

$V_{hs}=\dfrac{2}{3}\pi(7^3)=\dfrac{2}{3}\pi(343)=\dfrac{686\pi}{3}\ cm^3$

The volume of the given shape:

$V=V_c+V_{hs}$

Substitute:

$V=\dfrac{735\pi}{3}+\dfrac{686\pi}{3}=\dfrac{1,421\pi}{3}\ cm^3$

7 0

3 years ago

Sam and Paul started a business. Their investments were in the ratio 6 : 7, respectively. How much did Paul invest if Sam's inve

salantis [7]

Answer:

$966

Step-by-step explanation:

6/7 = 828/x

Write a proportion.

6x = 7(828) Use cross products.

6x = 5796 Multiply.

x = 966 Divide both sides by 6.

Paul's investment was $966.

4 0

2 years ago

The probability of a spinner landing on a 6 is 2/7 . What is the probability that the spinner will land on a number other than 6

Anton [14]

This is really simple. We know that landing a 6 is a 2/7 chance that means there is a 5/7 chance of NOT landing a 6 which means that the probability of landing a number that is not 6 would be 5/7. Your answer is D.) 5/7

5 0

3 years ago

Read 2 more answers

A man bought a beautiful horse and needed a paddock to keep it in. He decided on a square shaped area and used 30 poles on each

Aleks04 [339]

Answer:

120poles

Step-by-step explanation:

Given

Length of each poles of the paddock = 30

Since a square has 4 sides, the perimeter of the square shaped paddock is what we are to look for.

Perimeter of a square = 4L

L is the length of each side of the paddock

Perimeter = 4(30)

Perimeter of the square = 120

Hence he used 120poles for the paddock

8 0

3 years ago

Evaluate (2 minus 5 i) (p + q) (i) when p = 2 and q = 5 i.

lora16 [44]

(2 - 5i) ( 2 + 5i) (i)
(4 + 10i -10i -25) (i)
(4 - 25) (i)
-21i

4 0

3 years ago