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3 years ago

Twice a number (n) is the same as 5 less than 3 times the number. What is the value of (n)?

1 answer:

8 0

2n = 3n - 5 (get all of n on one side by subtracting)
-1n = -5 (when you get here you have to divide by -1 to make n positive)
n = 5

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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 16o when staring at the top of the sta

NemiM [27]

Answer:

The height of the statue is 21.4 feet

Step-by-step explanation:

We are given

A person is standing 50 ft from a statue

The person looks up at an angle of elevation of 16 degree when staring at the top of the statue

hen the person looks down at an angle of depression of 8 degree when staring at the base of the statue

Firstly, we will draw diagram

In triangle ABF:

FC=50

we can use trig formula

$tan(16)=\frac{y}{50}$

$y=50tan(16)$

$y=14.33727ft$

now, we can find x

In triangle DEF:

we can use trig formula

$tan(8)=\frac{x}{50}$

$x=50tan(8)$

$x=7.0270ft$

we can see that

height of statue =x+y

so, the height of statue is

$=14.33727+7.0270$

$=21.4ft$

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3 years ago

Prove: In an equilateral triangle the three medians are equal.

svet-max [94.6K]

yes because it has equal sides

8 0

2 years ago

Find the equation of a line with slope 1/2 through the point (10,12)

mihalych1998 [28]

Answer:

$x-2y+14=0$

Step-by-step explanation:

$Slope \:( m) =\frac{1}{2}$

$(x_1 \:y_1) =(10, \:12)$

Equation of line in point slope form is given as:

$y-y_1 =m(x-x_1)$

Plugging the values of m and $(x_1 \:y_1)$ , we find:

$y-12=\frac{1}{2} (x-10)$

$2y-24=x-10$

$0=x-10-2y+24$

$x-2y+14=0$

This is the required equation of line.

5 0

2 years ago

If 3/8" equals 3 ft, what does 5/8" equal

Free_Kalibri [48]

If 3/8 equals 3 ft, then i would assume that 5/8 equals 5 ft.

7 0

2 years ago

A 30-foot pole is stabilized by a wire attached to the ground 10 feet from the base of the pole. how long is the wire?

Leya [2.2K]

Answer:

height of the pole is 16.1

6 0

2 years ago