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2 years ago

4. You read an article in your local newspaper about a discussion between the owner of a popular business and a group

Mathematics

1 answer:

Alona [7]2 years ago

5 0

The business owner should be told to angle a spotlight mounted on the roof at the angle of =39°

<h3>Calculation of angle</h3>

The distance of the flagpole from the building = 55ft

The building has the height of = 45ft

The flagpole has the height of = 25ft

The angle can be calculated using the formula;

Tan θ = opposite/adjacent

Where opposite= 45ft

adjacent = 55ft

Tan θ = 45/55 = 0.82

θ = Tan–¹0.82

θ = 39°

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Can somebody help me?

Black_prince [1.1K]

Answer:

C) v≤-5

Step-by-step explanation:

$4v\leq -20$

Divide each side by 4,

$v\leq -5$

5 0

3 years ago

An archaeologist at a dig sets up a coordinate system using string. Two similar artifacts are found one at position (1, 4) and t

myrzilka [38]

Given:

Positions of two artifacts are at points (1, 4) and (5, 2).

To find:

The distance between these two artifacts.

Solution:

Distance formula: The distance between two points is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula, the distance between two points (1, 4) and (5, 2) is

$d=\sqrt{(5-1)^2+(2-4)^2}$

$d=\sqrt{(4)^2+(-2)^2}$

$d=\sqrt{16+4}$

$d=\sqrt{20}$

$d=4.4721359$

Round to the nearest tenth of a unit.

$d\approx 4.5$

Therefore, the distance between two artifacts is 4.5 units.

4 0

3 years ago

Solve each of the quadratic equations.<br><br> 3x=0.5x^2 <br><br><br> 0=5x^2-2x+6

Kipish [7]

Answer:

6x=0.10x< 2

Step-by-step explanation:

8 0

3 years ago

julie grows apples. the first year she planted 6 seeds. the second year she planted 18 seeds. the third year she planted 54 seed

luda_lava [24]

Answer:

90-96

Step-by-step explanation:

7 0

3 years ago

The amount of fence a farmer needs to create a garden with width w and length l is f = 5w + 21.

Nonamiya [84]

The formula that represents l in terms of f and w is l = (f-5w)/2

<h3>Subject of formula </h3>

This is way of representing a variable with other variables in an expression, Given the expression that represent the amount of fence a farmer needs to create a garden with width w and length

f = 5w + 2l

Make l the subject of the formula

2l = f - 5w

Divide both sides by 2

2l/2 = (f-5w)/2

l = (f-5w)/2

Hence the formula that represents l in terms of f and w is l = (f-5w)/2

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8 0

2 years ago