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3 years ago

Describe the set 1 using interval notation.

Mathematics

1 answer:

SashulF [63]3 years ago

3 0

Answer:

Interval notation is a way of writing subsets of the real number line .

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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

2 years ago

The graph shows a line and two similar triangles.

docker41 [41]

Answer:

y=1/3x+2

Step-by-step explanation:

7 0

2 years ago

What is the answer for 24-9/12

kvasek [131]

Answer= 94/4

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6 0

3 years ago

During the 2007 baseball season, Wade was up to bat 10 more times than

bearhunter [10]

Answer:

The number of times Ellis get to bat is 558.

Step-by-step explanation:

Here, let us assume the number of times Ellis bat = m

So, the number of times Dwight bat = 17 times fewer than Ellis

= m - 17

Also, number of times Wade got to bat = 10 more times than Dwight

= ( m- 17 )+ 10

Total number of bat times = 1650

So, the number of times ( Wade + Dwight + Ellis) bat together = 1650

⇒ ( m- 17 )+ 10 + (m - 17) + m = 1650

or, 3 m - 34 + 10 = 1650

or, 3 m = 1674

⇒ m = 1674/3 = 558 , or m = 558

Hence, the number of times Ellis get to bat = m = 558.

3 0

3 years ago

What is the measure of the angle shown? Will mark brainliest!

FrozenT [24]

Answer:

142

Step-by-step explanation:

3 0

3 years ago