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3 years ago

Sebastian studies from 3:15 - 4:45 p.m his sister,Sara studies from 4:30 -6:15 p.m who studies longer and by how,much?

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

5 0

Answer:

Sara studies longer by 15 minutes.

Step-by-step explanation:

Let's calculate how long Sebastian studies for. From 3:15 - 4:15, there is 1 hour and from 4:15 to 4:45, there are 30 minutes so Sebastian studies for 1 hour and 30 minutes. Now, let's calculate how long Sara studies for. From 4:30 - 5:30, there is 1 hour, from 5:30 - 6:00, there are 30 minutes and from 6:00 - 6:15, there are 15 minutes so Sara studies for 1 hour 45 minutes. This means that Sara studies longer by 45 - 30 = 15 minutes.

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A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 54 . What is the volume of the dilated prism? E

Aliun [14]

Question:

A prism with a base area of 8 cm² and a height of 6 cm is dilated by a factor of 5/4 .

What is the volume of the dilated prism?

Enter your answer, as a decimal, in the box.

Answer:

The volume of the dilated prism is $93.75 \ {cm}^{3}$

Explanation:

A prism with a base area of 8 cm² and a height of 6 cm

The volume of the prism can be determined by the formula, $V=Bh$

Volume of the prism is given by

$V=Bh$

$V=(8)(6)$

$V=46\ cm^3$

Thus, the volume of the prism is $46 \ {cm}^{3}$

It is also given that the volume of the dilated prism is dilated by a factor of $\frac{5}{4}$

Hence, the new volume is given by

$Volume = 48(\frac{5}{4} )^3$

$=48(\frac{125}{64} )$

$=48(1.953125)$

$=93.75 \ {cm}^{3}$

Thus, the volume of the dilated prism is $93.75 \ {cm}^{3}$

3 0

2 years ago

Tom, Lisa, and Jane are competing in a cooking competition. They all used different amounts of sugar from a can containing 4 pou

avanturin [10]

Convert all to decimals
percent means parts out of 100
13%=13/100=0.13

'of' means mutiply

Tom=13% of 4
tom=0.13 times 4
tom=0.52 lb

Lisa=0.6 lb

Jane=0.12 of 4
jane=0.12 times 2
jane=0.48

Tom=0.52
Lisa=0.60
Jane=0.48

Lisa used the most

8 0

3 years ago

I mainly need help with #10, thank you!

Masja [62]

Answer:

10) 40

Step-by-step explanation:

just subtract 95 and 55

8 0

3 years ago

Imagine the center of the Singapore Flyer ferris wheel is located at (0, 0) on a coordinate grid, and the radius lies on the x-a

stealth61 [152]

The equation of the circle is x² + y² = 25 and the transformation equation of the circle is x² + y² = 100.

<h3>What is the equation of the circle?</h3>

The following parameters are derived from the question:

(x - a)² + (y - b)² = r²

Center (a, b) = (0, 0)

Radius (r) = 5

Then the equation of the circle will be

x² + y² = 5²

x² + y² = 25

Then the transformation of the circle will be

Center (a, b) = (0, 0)

Radius (r) = 10

Then the equation of the circle will be

x² + y² = 10²

x² + y² = 100

More about the equation of circle link is given below.

brainly.com/question/10618691

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6 0

1 year ago

The Tour de France is a bike race around the country of France. The bike race is a three week race that covers approximately 2,2

valentinak56 [21]

Answer:

Approximately 54.54% of race happened in the first week.

Step-by-step explanation:

We are given the following in the question:

Length of bike race in three weeks = 2,200 miles

Race covered in first week = 1,200 miles

Percentage of race covered in first week =

$=\dfrac{\text{Race covered in first week}}{\text{Total length of race}}\times 100\%\\\\=\dfrac{1200}{2200}\times 100\%\\\\=54.54\%$

Thus, approximately 54.54% of race happened in the first week.

4 0

2 years ago