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nirvana33 [79]
3 years ago
12

Daniel wanted to make note cards by cutting pieces of paper in half. Before starting he got three more pieces to use. When he ha

d 20 half-pieces of paper. With how many did he start with? ( I need the step by step how to solve this)
Mathematics
1 answer:
Ann [662]3 years ago
3 0

Answer:

10

Step-by-step explanation:

before he started, he had 7 pieces of paper and then grabbed 3 more = 10 sheets of paper

he took those sheet and cut them in half so...

10 sheets cut in half = 20

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Need step by step explanation please.
ryzh [129]

1. Volume of 1 tennis ball = volume of sphere = 33.51 in.³

2. Volume of the cylinder = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball) = 50.27 in.³

<h3>What is the Volume of a Cylinder and Volume of a Sphere?</h3>
  • Volume of Cylinder = πr²h
  • Volume of Sphere = 4/3πr³

Diameter of the tennis ball = 4 in. (given)

1. Volume of 1 tennis ball = volume of sphere = 4/3πr³

r = 1/2(4 in.) = 2 in.

Volume of 1 tennis ball = 4/3π(2)³ = 33.51 in.³

2. Volume of the cylinder = πr²h

Radius of the cylinder (r) = 1/2(4 in.) = 2 in

Height of the cylinder (h) = 3(4 in.) = 12 in

Volume of the cylinder = πr²h = π(2²)(12) = 150.8 in.³

3. Amount of space not occupied by the tennis ball = Volume of cylinder - 3(volume 1 tennis ball)

= 150.8 - 3(33.51) = 50.27 in.³

Learn more about volume of a cylinder and a sphere on:

brainly.com/question/64165

4 0
2 years ago
Based on the tax brackets, what’s the estimated total tax due for a single taxpayer with a taxable income of $43,500?
inysia [295]

Answer:

C. $5,509.50

Step-by-step explanation:

The computation of the estimated total tax due in case of taxable income for $43,500 is shown below:

Since in the question the income brackets and based on the income the different tax is to be charged

For $9,525, the 10% tax is charged i.e

= \$9,525 \times 10\%

= $952.50

Upto $38,700, the 12% tax is charged i.e

= (\$38,700 - \$9,526) \times 12\%

= $3,500.88

The remaining amount left is

= (\$43,500 - \$38,701) \times 22\%

= $1,055.78

Now the total tax due is

= $952.50 + $3,500.88 + $1,055.78

= $5,509.16 approx i.e $5,509.50

6 0
3 years ago
Which inequality would result in the shaded solution on the unit circle to the right?
omeli [17]
<h3>Answer: Choice B</h3>

Explanation:

Cosine is positive in quadrants I and IV, but quadrant IV isn't shaded in so we can rule out choice A.

Sine is positive in quadrants I and II. So far it looks like choice B could work. In fact, it's the answer because sin(pi/6) = 1/2 and sin(5pi/6) = 1/2. So if 0 ≤ sin(x) < 1/2, then we'd shade the region between theta = 0 and theta = pi/6; as well as the region from theta = 5pi/6 to theta = pi.

Choice C is ruled out because tangent is positive in quadrants I and III, but quadrant III isn't shaded.

Choice D is ruled out for similar reasoning as choice A. Recall that \sec(x) = \frac{1}{\cos(x)}

5 0
2 years ago
Read 2 more answers
MATH PLEASE HELP!! HELP BADLY NEEDED....
Molodets [167]
Corresponding angles- a, d, h, l and s
Alternate interior- c, f, i, o, and t
Same side interior- e, g, k, m, and p
Alternate exterior- n, q, r
• for j and b I’m not sure
3 0
3 years ago
Say if the Earth rotates 1.25 degrees in 5 mintues. But a classmate wants to find out how many degrees the Earth can rotate in 2
givi [52]

Her error was dividing them by 2 she would place 1.25 over 5 then divide by 5 to get the unit rate per minute then multiply the quotient by 2 to get the rate of degrees moved for 2 minutes which is .5  or .50 degrees every two minutes.

4 0
3 years ago
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