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Lera25 [3.4K]
3 years ago
9

Find the height of the flagpole and feet is it cast a 18 ft Shadow and the 5-foot 11-inch Man cast a 3-foot shadow. Round your a

nswer to the nearest Foot.
​

Mathematics
1 answer:
omeli [17]3 years ago
5 0

Answer:

  36 ft

Step-by-step explanation:

The pole's shadow is 6 times the length of the man's shadow, so the pole is 6 times as high as the man.

  6 × 5'11" = 30'66" = 35'6" ≈ 36 ft

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What is the solution to the system of equations below? x 3 y = 15 and 4 x 2 y = 30 (6, 3) (3, 6) (7, –6) (–6, 7).
swat32

Answer: (6 , 3)

Step-by-step explanation: Given

x + 3y =15 ------- equation 1

4x + 2y = 30 --------- equation 2

x = 15 - 3y

Put value of x in equation 2

4 (15 - 3y) + 2y = 30

60 - 12y + 2y = 30

-10y = -30

divide by '-10' on both sides

y = 3

now, put value of y in equation 1

x + 3(3) = 15

x + 9 = 15

x = 15 - 9

x =  6

So , (x , y) = (6 , 3)

7 0
2 years ago
Select the correct answer.
jenyasd209 [6]

The expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)

A cubic equation in algebra is a one-variable equation of the form ax3+bx2+cx+d=0 where an is nonzero. The roots of the cubic function defined by the left side of this equation are the solutions to this equation.

Given expression 2x³-3x²-3x+2 whose one of factor is (x-2)

We have to find second factor of given equation

First we will be rational root theorem to given expression so will get following expression:

\left(x+1\right)\frac{2x^3-3x^2-3x+2}{x+1}

So one factor is (x-1) and now simplifying \frac{2x^3-3x^2-3x+2}{x+1}  we get              2x² - 5x +2 and the factor of 2x² - 5x +2 will be (2x-1)(x-2)

Hence the expression which represents the other factor, or factors, of the given polynomial is option (C) (2x-1)(x+1)

Learn more about Polynomial here:

brainly.com/question/4142886

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4 0
1 year ago
How many pairs of whole numbers have the sum of 99
valentina_108 [34]
50 pairs of whole numbers
7 0
2 years ago
What is the equation of the line that is parallel to the given line and passes theought the point (12, -2)
Nesterboy [21]

Answer:

<u>Option </u><u>D</u> (y = 5/6x -12).

Step-by-step explanation:

Hey there!

The equation of the line which passes through the point (12,-2) is (y+2) = m2(x-12)………(i) [Using one point formula].

According to the question, the first line passes through point (12,6) and (0,-4).

So,

slope(m1) =  \frac{y2 - y1}{x2 - x1}

or \: m1 =  \frac{ - 4 - 6}{0 - 12}

or \: m1 =   \frac{5}{6}

Therefore, the slope of the line is 5/6.

Now as per the condition of parallel lines, m1 =m2 = 5/6.

So, keeping the value of m2 in equation (i), we get;

(y+2) = 5/6(x-12)

y + 2 =  \frac{5}{6} x - 10

or, y = 5/6x - 12.

Therefore, the required equation is y = 5/6 X - 12.

<u>Hope</u><u> </u><u>it </u><u>helps</u><u>!</u>

3 0
3 years ago
Help me please this is due today
mojhsa [17]

Answer:

your answers obviously 210

6 0
2 years ago
Read 2 more answers
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