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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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Answer:

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Step-by-step explanation:

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3 years ago
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The Ms Jodi has 950 non fiction books. 40% of those books are about science topics and 30% are about history. How many books are
Bad White [126]

Step-by-step explanation:

well first you need to divide all the percents by 100.

40% = .40

30%= .30

and now you need to multiply those two by 950.

.40/950=4.20

.30/950=3.15

so ms jodi has about 3 books on history

8 0
3 years ago
Help help help pls :)
kykrilka [37]

Answer:

opposite\approx 70.02

Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}

Please note that the names (opposite) and (adjacent) are subjective and change depending on the angle one uses in the ratio. However the name (hypotenuse) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent (tan) ratio.

tan(\theta)=\frac{opposite}{adjacent}

Substitute,

tan(35)=\frac{opposite}{100}

Inverse operations,

tan(35)=\frac{opposite}{100}

100(tan(35))=opposite

Simplify,

100(tan(35))=opposite

70.02\approx opposite

4 0
2 years ago
Hey can you please help me posted picture of question
Olenka [21]
Hello!

The variable "n" represents an exponent.

An exponent is used to multiply a number (b) by itself "n" times. For example, if the expression were to read (b²) it would represent the following:

b × b

The same could be said for (b³):

b × b × b

Even (b^{10}):

b × b × b × b × b × b × b × b × b × b

I hope this helps!
6 0
3 years ago
X-45=8(2x+3)-18 what are the first steps to solving this equation
Mamont248 [21]

Step-by-step explanation:

step one Distribute

x−45=8(2x+3)−18

x−45=16x+24−18

step two Subtract the numbers

x−45=16x+24−18

x−45=16x+24−18

3 0
3 years ago
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