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sergeinik [125]
3 years ago
8

the flagpole cast an 8 foot shadow, as shown in the table.At the same time the oak tree cast a 12 foot shadow.How tall is the oa

k tree?And the flagpole height is 20 ft
Mathematics
1 answer:
JulsSmile [24]3 years ago
8 0

The flag pole is 20 feet tall with an 8 foot shadow.

The tree is X feet tall with a 12 foot shadow.

20/8 = X/12

Cross multiply:

20 * 12 / 8*X

240 = 8x

Divide both sides by 8:

x = 240/8

x = 30

The tree is 30 feet tall.

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Ilia_Sergeevich [38]

∠UXW = 36°

∠WZX = 66°

∠UWY = 48°

∠XYZ = 42°


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8 0
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Calculus HELP PLEASE? A highway runs due north. A car traveling at 50 mph exits the highway at a 30° angle. After driving anothe
mrs_skeptik [129]
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yanalaym [24]
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6 0
3 years ago
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What is the value of the expression 9+4n-1 when n = 3?
Nookie1986 [14]
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3 0
4 years ago
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The fuel efficiency (mpg rating) for cars has been increasing steadily since 1980. The formula for a car's fuel efficiency for a
Lisa [10]

Answer:

a) In the interval of [1980,1983].

b) In the interval of [1991, 1996].

Step-by-step explanation:

Fuel efficiency:

The fuel efficiency, for the cars, in x years after 1980, is given by:

E(x) = 0.36x + 15.9

15.9 is the fuel efficiency in 1980.

a. In what years was the average fuel efficiency for cars less than 17 mpg (in interval form)?

From 1980 to:

E(x) < 17

0.36x + 15.9 < 17

0.36x < 1.1

x < \frac{1.1}{0.36}

x < 3.06

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In the interval of [1980,1983].

b. In what years was the average fuel efficiency for cars more than 20 mpg (in interval form)?

From x until 1996.

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0.36x + 15.9 > 20

0.36x > 4.1

x > \frac{4.1}{0.36}

x > 11.38

11.38 = 1980 + 11 = 1991. So

In the interval of [1991, 1996].

4 0
3 years ago
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