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telo118 [61]
2 years ago
15

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°

Learn more about angles here:

brainly.com/question/25716982

#SPJ1

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Find the value of x, given the area of the quadrilateral.
balandron [24]

Answer:

Step-by-step explanation:

Four triangles.  Each area is bh/2.

So 8x ÷2 or 4x Multiply by 4 (small triangles) to get 16x.

48 ÷ 16 =3 so x = 3

7 0
4 years ago
Read 2 more answers
What is true about the solution above.
Masja [62]

ANSWER

x =  \pm \sqrt{3}

and they are actual solutions.

EXPLANATION

The given equation is:

\frac{ {x}^{2} }{2x - 6}  =  \frac{9}{6x - 18}

Cross multiply

{x}^{2} (6x - 18) = 9(2x -6 )

This implies;

{x}^{2} (6x - 18) - 9(2x - 6) = 0

3{x}^{2} (2x - 6) - 9(2x - 6) = 0

Factor

(3 {x}^{2}  - 9)(2x - 6) = 0

3 {x}^{2}  - 9 = 0 \: or \: 2x - 6= 0

3 {x}^{2}   = 9 \: or \: 2x  = 6

{x}^{2}   = 3\: or \: x  = 3

{x}  =  \pm \sqrt{3} \: or \: x  = 3

The domain of the given equation is

x \ne3

Therefore the actual solutions are

x =  \pm \sqrt{3}

NB: x=3 is not in the domain of the given equation. It cannot be an extraneous solution.

7 0
3 years ago
A scuba diver was exploring a reef 32.12 m below sea level. the diver ascended to the surface at a rate of 8.8 m/min
7nadin3 [17]
Thank you for posting your question here at brainly. Below ist he answers:

a. T= d/r
b.  It's reasonable to write distance as a positive number because distance is always positive. You are not able to have a negative distance. Imagine someone standing on a side walk. Even if they are not moving, their distance is 0 which is positive. If they move backwards or forwards, their distance is still positive because it is more than that 0 and they are gaining something. 
c. T= d/r
T= 32.12 m /<span>8.8 m/min
T= 3.65 min
</span>
7 0
3 years ago
Read 2 more answers
S is the midpoint of RT. <br> If RS = 4x - 3 and RT = 6x - 4,<br> what’s the value of ST?
Georgia [21]

Answer:

R__S__T

RT = RS + ST

6x – 4 = ( 4x – 3) + ST

(6x – 4 ) – ( 4x – 3 ) = ST

(6x – 4 ) +( – 4x + 3 ) = ST

2x – 1 = ST

ST = 2x – 1

RS=ST

4x – 3 = 2x – 1

4x – 2x = – 1 +3

2x = 2

x= 2/2

x =1

ST = 2x – 1 = 2(1) – 1 =2 ‐ 1 = 1

ST = 1

I hope I helped you^_^

7 0
3 years ago
Choose an expression for the number of scoops Zack needs to fill both feeders. Will make brainliest if u tell me in under a minu
yan [13]

Answer:

C

Step-by-step explanation:

Please mark brainliest

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3 years ago
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