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Leto [7]
3 years ago
10

30 POINTS

Mathematics
1 answer:
Novay_Z [31]3 years ago
4 0

Answer:

5x

Step-by-step explanation:

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A sphere has a diameter of 12 meters. What is its exact surface area and its exact volume?
Karo-lina-s [1.5K]

Answer:

The exact value of its surface area = 144π m²

The exact value of its volume = 288π m³

Step-by-step explanation:

∵ The diameter of the sphere is 12m

∴ The radius of the sphere = 12 ÷ 2 = 6m

∵ The surface area of the sphere = 4πr²

∴ The surface area = 4 × π × 6² = 144π m²

∵ The volume of the sphere = 4/3 πr³

∴ The volume = \frac{4}{3}\pi (6)^{3} = 288π m³

6 0
3 years ago
Katy used 3/4 of a 6 ft board for a science fair project. How many inches did she use?
adoni [48]
She used 54 inches. 3/4 is equal to .75 so you can find 3/4 of the board by taking the fool length and multiplying it by .75 so 6•.75=4.5. So 3/4 of the board is 4.5 ft. However, the answer has to be in inches so since there are 12 inches in a foot you multiply 4.5•12 and that gives you your answer:54 inches.
5 0
3 years ago
Evaluate.
lys-0071 [83]

Answer:

  361/900

Step-by-step explanation:

  \left(-\dfrac{1}{6}+0.6\left(-\dfrac{1}{3}\right)+1\right)^2=\left(-\dfrac{1}{6}-0.2+1\right)^2\\\\=\left(1-\left(\dfrac{1}{6}+\dfrac{1}{5}\right)\right)^2=\left(1-\dfrac{5+6}{6\cdot5}\right)^2=\left(\dfrac{19}{30}\right)^2=\boxed{\dfrac{361}{900}}

8 0
2 years ago
Two angles are complementary. One angle is labeled 2p+6°. The other angles is labeled 4p°. Find the value of p.
makkiz [27]

Answer:

<em>Value</em><em> </em><em>of</em><em> </em><em>p</em><em> </em><em>is</em><em> </em><em>14</em>

Step-by-step explanation:

given \: complementary \: angles \: add \: up \: to \: 90 \: degrees \\ then \\ 2p + 6 + 4p = 90 \\ 6p + 6 = 90 \\ 6(p + 1) = 90 \\ p + 1 =  \frac{90}{6}  \\ p + 1 = 15 \\ p = 15 - 1 \\ p = 14

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

5 0
3 years ago
ASAP<br> - WILL MARK BRIANIST<br> Please explain
marissa [1.9K]

Answer:

D  26 batches

Step-by-step explanation:

for each cup of cranberries, 4 batches of scones can be made

6 1/2 * 4 = 24 + 2 = 26

5 0
3 years ago
Read 2 more answers
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