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MaRussiya [10]
2 years ago
15

Two observers are 400 ft apart on opposite sides of a flagpole. The angles of elevation from the observers to the top of the pol

e are 19° and 16°. Find the height of the flagpole.
Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
6 0

Answer:

65346290

Step-by-step explanation:

43yrejhduysfdhk

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Peaches are being sold for $2 per pound. If x represents the number of pounds of peaches bought and y represents the total cost
RUDIKE [14]
The values of both x and y can be any real number.
5 0
3 years ago
Read 2 more answers
Surface area of hemisphere with diameter of 18
saul85 [17]

Answer:

In terms of pi: 243\pi

in decimal form: 763.407

Step-by-step explanation:

to find surface area of a hemisphere the formula is,

3\pi r^{2}

diameter (d) = 18

radius = d / 2 = 18 / 2

radius = 9

3\pi (9)^{2} \\3\pi (81)\\243\pi \\OR\\763.407

6 0
1 year ago
Solve the system of linear equations by substitution.<br> 2x-y=3<br> x+5y=14
adoni [48]
Let 2x – y = 3 ——— equation 1

Let x + 5y = 14 ——— equation 2

Making x the subject in eqn 1, = x = y + 3 / 2 ——— eqn 3

• Put eqn 3 in eqn 2

(y + 3 / 2) + 5y = 14

6y = 14 – 3/2

6y = 25/2

y = 25/12

• put y = 25/12 in eqn 3

x = (25/12 + 3/2)

x = 43/12
4 0
3 years ago
Use the following trinomial to answer the questions. x^2-6x-27 When going through the process of determining the factors, the tw
Sauron [17]

Answer:

The factors are 3 and -9

Step-by-step explanation:

The given trinomial is x^2-6x-27.

We need to find two factors. We know that,

3(9) = 27

So,

x^2-6x-27 can be written as :

x^2+3x-9x-27 as two factors add up to get -6 and multiply to get -27.

Hence, the factors are 3 and -9.

5 0
2 years ago
A farmer plans to fence a rectangular pasture adjacent to a river the pasture must contain 405,000 square meters
jeyben [28]

The dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let's suppose x and y are the sides of the rectangular garden and y is the parallel to the river.

Then according to the problem:

2x + y = P ..(1)

P is the perimeter of the rectangle.

xy = 405000  (area of the rectangle)

Plug the value of y in the equation (1) from the above equation.

P(x) = 2x + 405000/x

P'(x) = x—405000/x² = 0

x = 450 m

P''(x) > 0 hence at x = 450 the value of P(x) is minimum.

y = 405000/450

y = 900 m

P(min) = 1800 m

Thus, the dimensions of the garden that will require the least amount of fencing are 450 m and 900 m and the perimeter of the area is 1800 m.

Learn more about the rectangle here:

brainly.com/question/15019502

#SPJ4

7 0
2 years ago
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