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yulyashka [42]
4 years ago
7

A ghost on a 135 feet cliff perpendicular (at 90 degrees) to the ground looks down at an angle of 16 degrees and sees a

Mathematics
1 answer:
Bogdan [553]4 years ago
3 0

To solve this problem you must apply the proccedure shown below:

1. You can make the diagram attached, where the ghost is identified as G and the the werewolf as W. The distance between both of them is <em>y</em> and the distance of the werewolf from the base of the cliff is <em>x</em>.

2. Let's calculate <em>y</em>:

Cos(16)=\frac{135}{y}

y=\frac{135}{Cos(16)}

y=140.44 ft

3. Now, let's calculate <em>x</em>:

Tan(16)=\frac{x}{135}

x=(135)(Tan(16))

x=38.71 ft

The answer are:

  • The ghost is 140.44 feet from the werewolf.
  • The werewolf is 38.71 feet from the base of the cliff.

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Answer:

a) 3/5 < 4/5

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c)  \frac{7}{10} > \frac{9}{15}  <em>or</em>  \frac{7}{10}

Step-by-step explanation:

a) 3/5 < 4/5

Flip the sign and the placement of the fraction so 3/5 is less then 4/5.

b) In general if two fractions have the same denominator, then whichever fraction has the numerator closer to its denominator will be the largest fraction.

c) We need to change the denominators to a common denominator to compare the size of the two fractions:

\frac{7}{10} × \frac{3}{3} = \frac{21}{30}

\frac{9}{15} ×  \frac{2}{2} = \frac{18}{30}

The common denominators of the two fractions is 30. Comparing the two fractions:

\frac{21}{30} >\frac{18}{30}  <em>or</em>  \frac{18}{30}

so we get:  \frac{7}{10} > \frac{9}{15}  <em>or</em>  \frac{7}{10}

7 0
3 years ago
Five times the difference of a number and twelve is greater than forty.
Naya [18.7K]

Answer:

This is the value in numbers.

5(n-12)>40

Step-by-step explanation:

Let's solve your inequality step-by-step.

5(n−12)>40

Step 1: Simplify both sides of the inequality.

5n−60>40

Step 2: Add 60 to both sides.

5n−60+60>40+60

5n>100

Step 3: Divide both sides by 5.

5n

5

>

100

5

n>20

Answer:

n>20

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Factor the following:

9 y^2 - 36

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9 (y^2 - 4)

y^2 - 4 = y^2 - 2^2:

9 (y^2 - 2^2)

Factor the difference of two squares. y^2 - 2^2 = (y - 2) (y + 2):

Answer: 9 (y - 2) (y + 2)

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