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iogann1982 [59]
3 years ago
11

Question in the Picture

Mathematics
1 answer:
Wewaii [24]3 years ago
8 0

The bat fit diagonally across the bottom of the suitcase.

Solution:

Length of the suitcase = 20.5 inches

Width of the suitcase = 29 inches

Using Pythagorean theorem,

20.5^{2}+29^{2}=d^{2}

420.25+841=d^{2}

1261.25=d^{2}

Taking square root on both sides, we get

35.5 \approx d

Diagonal of the suitcase = 35.5 inch

Length of the base ball bat = 33 inch

35.5 > 33

Since the diagonal of the suitcase is greater than length of the baseball bat,

The bat fit diagonally across the bottom of the suitcase.

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Find the volume of a cylinder with diameter 8 inches and height 9 1/2 inches
marta [7]

Answer:

V=152\pi in^{2} in terms or pi

V=477.52in^{2} simplified

Step-by-step explanation:

To solve this, we are using the Cylinder's volume formula:

V=\pi r^{2} h

where

V is the volume of the cylinder

r is the radius of the cylinder

Remember that radius is half the diameter, so we can divide the diameter of our cylinder by 2 to find its radius: r=\frac{d}{2} =\frac{8in}{2} =4in. Now, 9 1/2 inches is 9 and a half inches, so h=9.5in.

Replacing values:

V=\pi (4in)^{2} (9.5in)

V=\pi (16in^{2})(9.5in)

V=152\pi in^{2}

V=477.52in^{2}

We can conclude that the volume of our cylinder is V=152\pi in^{2} in terms of pi, or V=477.52in^{2} simplified.

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3 years ago
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Oliver read for450 minutes this month. His goal is to read for 10% more minutes next month. If Oliver meets his goal, how many m
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Answer:

He will have read 495 minutes

Step-by-step explanation:

10 percent of 450 is 45, add that to 450 and you get 495

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Step-by-step explanation:

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3 years ago
Simplify <br> (1/2k) (4k) + 12 <br><br> 2k 2 + 12<br> 14k 2<br> 2k + 12<br> 14k
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Answer:

(1/2) (4k) + 12 = 2k + 12

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A sum of money is divided amongst Farah, Shaiyara and Zahin in the ratio 10: 7: 5. If
r-ruslan [8.4K]

Answers:

  • Total amount of money =  220 dollars
  • Amount Farah gets = 100 dollars

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

Explanation:

  • F = amount Farah gets
  • S = amount Shaiyara gets
  • Z = amount Zahin gets

The money is divided in the ratio 10:7:5

This means that

  • F = 10x
  • S = 7x
  • Z = 5x

for some positive real number x.

Since Shaiyara gets $20 more than Zahin, we can say,

S = Z+20

Let's plug in S = 7x and Z = 5x and solve for x

S = Z+20

7x = 5x+20

7x-5x = 20

2x = 20

x = 20/2

x = 10

Therefore,

  • F = 10x = 10*10 = 100
  • S = 7x = 7*10 = 70
  • Z = 5x = 5*10 = 50

The ratio F:S:Z becomes 100:70:50 which reduces fully to 10:7:5 after dividing all three parts by the GCF 10.

The total sum of money shared is 100+70+50 = 220 dollars and Farah gets $100 of that total.

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