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Andrej [43]
3 years ago
15

A 8-foot tall stop sign creates a shadow that is 2 feet long. At the same time, a utility pole creates a shadow that is 9 feet l

ong. How tall, in feet, is the utility pole?
Mathematics
1 answer:
Fudgin [204]3 years ago
8 0

Answer:  36 feet

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

Work Shown:

(sign height)/(sign shadow) = (pole height)/(pole shadow)

8/2 = x/9

8*9 = 2*x ... cross multiply

72 = 2x

2x = 72

x = 72/2 ... divide both sides by 2

x = 36

The utility pole is 36 feet tall.

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The weight of Lyle’s dog increased from 29.7 pounds to 48.9 pounds in an 8-month period. What was the dog’s average weight incre
krok68 [10]
First subtract the weight the dog weighs now to the weight he was:

48.9
- 29.7
------------
19.2

Then take the number you got which is the weight the dog gain in total, and divide it by the months the dog gained weight to get the average weight gained each month:


19.2/8 = 2.4

The average weight gain each month was 2.4 pounds.

Hope this helped you!
6 0
3 years ago
Write the equation in standard form for the circle with center (0, – 10) and radius 6.
Artemon [7]

Answer:

Equation of circle in standard form with centre (0, – 10) and radius 6. \mathbf{x^2+(y+10)^2=36}

Step-by-step explanation:

We need to write equation of circle in standard form with centre (0, – 10) and radius 6.

The equation of circle is: (x-h)^2+(y-k)^2=r^2

where (h,k) is centre of circle and r is radius

We are given centre (0,-10) so, h=0, k=-10 and radius r = 6

Putting values and finding equation:

(x-h)^2+(y-k)^2=r^2\\(x-0)^2+(y-(-10))^2=(6)^2\\x^2+(y+10)^2=36

So, equation of circle in standard form with centre (0, – 10) and radius 6. \mathbf{x^2+(y+10)^2=36}

5 0
3 years ago
Which graph represents a proportional relationship .
ZanzabumX [31]

Answer:

Answer choice C

Step-by-step explanation:

This is the only graph which has a linear equation and starts from 0,0.

3 0
3 years ago
Can someone help me my grade are bad
Likurg_2 [28]

Answer:

8.31

Step-by-step explanation:

Using the Pythagorean Theorem:

a^2+b^2=c^2

10^2+b^2=13^2

100+b^2=169

b^2=69

b = \sqrt{69}

b = 8.306623863

The side length for x, rounded to the nearest hundredths, would be 8.31.

8 0
3 years ago
Read 2 more answers
You and your date pplanning a date the limo would cost $300 for 6hrs . the limo can hold 10 people. you are asking other couples
Norma-Jean [14]
6 couples couldn't fit in a limo that holds 10 people.
3 0
3 years ago
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