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2 years ago

What is the circumfrence of a circle with a diameter of 10 feet? Use 3.14 for pi. A P E X

Mathematics

1 answer:

Olegator [25]2 years ago

4 0

Answer: 31.416

Step-by-step explanation: Multiply the diameter by pi OR you could divide the diameter by 2 and then use the formula 2(pi)(radius).

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The sum of two numbers is -30. The difference of the two numbers is 18. What are the two numbers?

Vitek1552 [10]

The two numbers are -6 and -24

3 0

1 year ago

A tank in the shape of an inverted right circular cone has height 7 meters and radius 2 meters. It is filled with 5 meters of ho

iren [92.7K]

Answer:

The work required to empty the tank is 1,580,887 J

Step-by-step explanation:

Work = mass of chocolate × acceleration due to gravity × height of chocolate

Volume of tank (cone) = 1/3πr^2h = 1/3 × 3.142 × 2^2 × 7 = 29.33 m^3

Mass of hot chocolate = density of hot chocolate × volume of cone = 1100 kg/m^3 × 29.33 m^3 = 32,263 kg

height of chocolate = 5 m

Work = 32,263×9.8×5 = 1,580,887 J

3 0

2 years ago

Read 2 more answers

Jake has two pet guinea pigs named fluffy and scruffy. Fluffy is8 1/8 inches long. Scruffy is 10 1/4 inches long. How much longe

miss Akunina [59]

Answer:

Scruffy is $2\frac{1}{8}$ inches longer than Fluffy.

Step-by-step explanation:

Length of Scruffy = $10\frac{1}{4}$ inches

Length of Fluffy = $8\frac{1}{8}$ inches

We have to calculate how much Scruffy is longer than Fluffy.

Difference of their lengths = $10\frac{1}{4}-8\frac{1}{8}$

= (10 - 8) + $(\frac{1}{4}-\frac{1}{8})$

= 2 + $(\frac{2-1}{8})$

= 2 + $\frac{1}{8}$

= $2\frac{1}{8}$ inches

Therefore, Scruffy is $2\frac{1}{8}$ inches longer than Fluffy.

5 0

2 years ago

Simplify the expression

chubhunter [2.5K]

Answer:

sin(α) -cos(α)

Step-by-step explanation:

$\dfrac{2\sin^2{\alpha}-1}{\sin{\alpha}+\cos{\alpha}}=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{(\sin{\alpha}+\cos{\alpha})(\sin{\alpha}-\cos{\alpha})}\\\\=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{\sin^2{\alpha}-\cos^2{\alpha}}=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{\sin^2{\alpha}-(1-\sin^2{\alpha})}\\\\=\dfrac{(2\sin^2{\alpha}-1)(\sin{\alpha}-\cos{\alpha})}{2\sin^2{\alpha}-1}\\\\=\sin{\alpha}-\cos{\alpha}$

4 0

3 years ago

I need help with geometry!

ss7ja [257]

Step-by-step explanation:

If m is parallel to n and one of its angle is 25

Therefore, the vertically opposite angle to angle of 25 is also equal to 25

Now, we have to find x

Therefore, x=180-25 ( interer angles on the same side of the transversal so addition of both angles is 180)

Therefore, x =155

8 0

2 years ago