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emmainna [20.7K]
2 years ago
14

A flagpole casts a shadow that is 12 ft long. A 6-ft tall man casts a shadow

Mathematics
1 answer:
Vikentia [17]2 years ago
4 0

Answer:

9ft

Step-by-step explanation:

Since the triangles are similar, the corresponding sides are proportional.

Let the height of the flag pole be x feet.

\frac{x}{6}  =  \frac{12}{8}

We multiply both sides by 6 to get:

x =  \frac{12}{8}  \times 6

We reduce the fraction to get:

x =  \frac{3}{2}  \times 6

We now simplify

x = 3 \times 3

x = 9ft

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kenny6666 [7]
-2x + 16 < = 10
-2x < = 10 - 16
-2x < = - 6
x > = -6/-2
x > = 3............so any number that is 3 or above is in the solution set
4 0
3 years ago
If f(x)=3x-2 and g(x)=x^2+1, find f(g(-1)) and g(f(3))
julsineya [31]

Answer:

f(g(-1))=4

g(f(3))=50

Step-by-step explanation:

We know the definition of both functions: f(x)=3x-2, and g(x)=x^2+1

A) In order to evaluate what f(g(-1)) is, let's first investigate what g(-1) is using the definition for this function:

g(x)=x^2+1\\g(-1)=(-1)^2+1\\g(-1)=1+1\\g(-1)=2

Now let's find what f(2) is using f(x) definition: f(x)=3x-2\\f(2)=3(2)-2\\f(2)=6-2\\f(2)=4

B) In order to evaluate what g(f(3)) is, let's first investigate what f(3) is using the definition for this function:

f(x)=3x-2\\f(3)=3(3)-2\\f(3)=9-2\\f(3)=7

Now let's find what g(7) is using the definition for this function:

g(x)=x^2+1\\g(7)=(7)^2+1\\g(7)=49+1\\g(7)=50

4 0
3 years ago
The cost of a taxi ride is equal to $3.50 plus $0.25 for each mile. If a ride costs a total of $6.75 how long was the ride?
jeka57 [31]

Answer:

13 miles

Step-by-step explanation:

Write and solve an equation involving this information, using x as the distance traveled, in miles:

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First, subtract $3.50 from both sides, obtaining:  $3.25 = ($.25/mile)x.

Next, divide both sides by $0.25/mile:

        $3.25

x = ------------------ = 13 miles

      $0.25/mile

The length of the taxi ride was 13 miles.

7 0
3 years ago
Beyonce danced around the track tree times. The track was 400 meters. How many kilometers did she dance all together
IRISSAK [1]

Answer: 1,200,000

Step-by-step explanation

1 meter is 1000 kilometers and the track is 400 meters long, so you must multiply 400*1000=400,000

She danced around 3 times s you must multiply 400,000*3=1,200,000

6 0
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5 0
3 years ago
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