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2 years ago

A bike path is 12.5 miles.Dominic is 70% of the way to the end.How far is dominic on the path?

Mathematics

2 answers:

worty [1.4K]2 years ago

8 0

Answer: Dominic is 8.75 miles far on the path.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

Length of the path: 12.5 miles

Dominic is 70% of the way to the end

So, we simply have to multiply the length of the path by the percentage traveled by Dominic in decimal form (70% / 100 =0.7)

Mathematically speaking:

12.5 miles x 0.7 =8.75 miles

Dominic is 8.75 miles far on the path.

Feel free to ask for more if it´s necessary or if you did not understand something.

adelina 88 [10]2 years ago

6 0

She is 8.75 miles on the path.

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2 years ago

A rectangular poster is to contain 722 square inches of print. the margins at the top and bottom of the poster are to be 2 inche

Delvig [45]

Let
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y ----------> the width of the whole poster

We need to minimize the area A=x*y

we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2

so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4

find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]

for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in

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2 years ago

The Earth is one astronomical unit from the sun i.e.1AU= 93 million miles.The angular speed of the Earth traveling around the su

Wewaii [24]

Answer: 0.0667117 * $10^{6}$ miles

Step-by-step explanation: The Earth is one astronomical unit from the sun i.e.1AU= 93 million miles.The angular speed of the Earth traveling around the sun is approximately 0.9863 degrees per day. If we assume the orbit of the Earth is completely circular, what is the linear speed in miles per hour?

Step-by-step explanation: First, a day has 24 hours. Knowing how far the earth travels in day we can say:

0,9863 degrees/day = 0,9863 degrees/(24 hours)

0,9863 degrees/day = 0.0411 degrees/hours

Also, we know the orbit completely circular, so the total distance on, degrees, is 360°. Also this distance can be know with the formula:

Total Circuference = 360° = 2*pi* R

Because Radius is variable for any circle. It is say that:

360° = 2*pi radians

WIth this relation, we can know how many radians are 0.0411 degrees

360/0.0411 = (2*pi)/x

x = (2*pi*0.0411)/(360)

X = 0.00071733032

X is how much the Earth travels per hour in Radians.

Multiplying per Radius:

Earth distance traveled per hour = 0.0667117 * $10^{6}$ miles

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3 years ago