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3 years ago

Please help!!! 20 points

Mathematics

1 answer:

Neko [114]3 years ago

4 0

Answer:

4) 2xy(x^2-2x-8) 2xy(x-4) (x+2)

5) 3(x^2-9x-10 3(x+1) (x-10)

Step-by-step explanation:

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Find the area of a circle with a circumference of 18.48 units.

pshichka [43]

A=27.18
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3 years ago

When do we flip an inequality?

tatuchka [14]

Answer:

When multiplying and dividing it by a negative

Step-by-step explanation:

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3 years ago

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∠A and \angle B∠B are supplementary angles. If m\angle A=(3x+18)^{\circ}∠A=(3x+18)

Alex

Answer:

Angle A is 168 degrees and angle B is 12 degrees.

Step-by step explanation:

x=14y

14y+y=180

15y=180

y=12

x=168

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3 years ago

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An empty cylindrical vase with a radius of 8 cm and a height of 9 cm is filled with 6 cm^3 of sand every 15 seconds. At the same

Andru [333]

General Idea:

The volume of cylinder is given by $\pi r^{2} h$ , where r is the radius and h is the height of the cylinder.

Applying the concept:

Step 1: We need to find the volume of full cylinder with the given dimensions using the formula.

Volume of full cylinder $=\pi r^{2} h=\pi* 8^{2} *9=576\pi cm^{3}$

Volume of half cylinder $=\frac{576\pi }{2} =288\pi cm^{3}$

Step 2: Let x be the number of minutes of filling the sand.

$6 cm^{3}$ of sand filled every 15 seconds, there are four 15 seconds in a minute.

So volume of sand filled in 1 minute $= 6*4 cm^{3} = 24 cm^{3}$ .

$8 cm^{3}$ of sand taken out of cylindrical vase every minute.

Net volume of sand filled in 1 minute = Volume of sand filled in the vase in one minute - Volume of sand taken out in 1 minute

Net volume of sand filled in 1 minute $=24 cm^{3} - 8cm^{3}=16cm^{3}$

Volume of sand filled in x minutes $= 16x$ .

We need to set up an equation to find the number of minutes need to fill half the volume in cylindrical vase.

$16x = 288\pi \\ \\ x=\frac{288\pi}{16} \\ \\ x=18\pi \\ \\ x=57 minutes$

Conclusion:

The number of minutes required for the base be half filled with sand is 57

6 0

3 years ago

Find m∠A.<br> A. 32<br> B. 26<br> C. 27<br> D. 30

krok68 [10]

<h3>Answer: B. 26</h3>

============================================

Use law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

9^2 = 6^2 + 14^2 - 2*6*14*cos(A)

81 = 36 + 196 - 168*cos(A)

81 = 232 - 168*cos(A)

81 - 232 = -168*cos(A)

-151 = -168*cos(A)

-168*cos(A) = -151

cos(A) = (-151)/(-168)

cos(A) = 0.8988095

A = arccos(0.8988095)

A = 25.9979801

A = 26 degrees approximately

3 0

3 years ago