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Mathematics

1 answer:

ololo11 [35]3 years ago

3 0

42 degrees is the average.

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[50 POINTS] What is the volume of the cylindrical stack of pennies?

Mrac [35]

Radius of base=19.05/2=9.525

Volume

πr²h
π(9.525)²(38)
3447.57π
10825.3698 mm³

8 0

2 years ago

What is the distance between the following points?

PilotLPTM [1.2K]

Answer :

right : 9,7
left :-2,7

5 0

1 year ago

Precalc.

viktelen [127]

Domain: x>0.

$(\log_2x)^2+7\log_2x+12=0$

Substitute $t=\log_2x\in\mathbb{R}$ . We have:

$t^2+7t+12=0\\\\a=1\qquad b=7\qquad c=12\\\\\\\Delta=b^2-4ac=7^2-4\cdot1\cdot12=49-48=1\\\\\sqrt{\Delta}=\sqrt{1}=1\\\\\\
t_1=\dfrac{-b-\sqrt{\Delta}}{2a}=\dfrac{-7-1}{2}=\dfrac{-8}{2}=-4\\\\\\
t_2=\dfrac{-b+\sqrt{\Delta}}{2a}=\dfrac{-7+1}{2}=\dfrac{-6}{2}=-3$

For t₁ there will be:

$\log_2x=t_1\\\\\log_2x=-4\\\\2^{-4}=x\\\\x=\dfrac{1}{2^4}\\\\\\x=\dfrac{1}{16}=0,0625\\\\\\\boxed{x\approx0,063}$

and for t₂:

$\log_2x=t_2\\\\\log_2x=-3\\\\2^{-3}=x\\\\x=\dfrac{1}{2^3}\\\\\\x=\dfrac{1}{8}\\\\\\\boxed{x=0,125}$

Answer d)

6 0

3 years ago

The cost of fabric (y) is directly proportional to he length is yards (x). If 5 yards of fabric cost $14, which equation models

marta [7]

Answer:

5x = 14

Step-by-step explanation:

If 5 yards of fabric is $14 you need an equation that would solve how much 1 yard of fabric costs. You can say 5x = 14 or x = 2.8 which means that one yard of fabric (1x or just x) is $2.80.

5 0

3 years ago

Read 2 more answers

What is the area in square feet of the ceilling

yan [13]

That would be a 120 Square Feet.

Use the length of one side of the ceiling, which is 12, and then use the other side that is 10. The ten feet comes from the floor. think of it in 2-Dimensional

8 0

3 years ago