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enyata [817]
3 years ago
13

What is the distance from the spotlight to be base of the tree, rounded to the nearest meter?

Mathematics
2 answers:
Hitman42 [59]3 years ago
8 0
Tan 40 = 12/x   where x is distance from light to base of the tree

x = 12 / tan 40 =  14.3

14 m  to nearest meter
Luda [366]3 years ago
6 0
Answer:
14

Explanation:
The given triangle is a right-angled triangle. This means that special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

Now, we have:
θ = 40°
opposite = 12 m
adjacent is the distance we want to find

Substitute with the givens in the tan formula to get the distance as follows:
tan (40) = 12 / distance
distance = 12 / tan (40)
distance = 14.3 which is approximately 14 m

Hope this helps :)
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3 years ago
Describe the relationship between the temperature and the coffee sales.
Levart [38]

The relationship between temperature and the coffee sales is a negative exponential of temperature

<h3>

What is relation?</h3>

relation is subject of order between to sets or how the connected to each other.

The temperature of liquid is essential in the  process of brewing because its affects the rate of evaporation or extraction. it refers to the test and matters that are dissolved from the coffee beans. The hot is the water, the quick it is to extract. At a high temperature, it’s tougher to control the rate of extraction. This can lead to over-evaporation of liquid, making your coffee taste too bitter since the heat strips away a lot of oxygen.

since the temperature varies over the year, which implies the taste of coffee also vary in a manner that in cold days people love coffees and in hotter days the people love to drink cold drinks instead of coffees
so in cold days the sales of coffees is grater in comparison with hot days

Thus the relationship between the sales of coffees and temperature is negative exponential of temperature.

Learn more about relation here:
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3 0
2 years ago
Which equation is represented by the table?
Fantom [35]
The answer is C.

(0, 3)

y = x + 3

3 = 0 + 3

3 = 3

(1, 4)

y = x + 3

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6 0
3 years ago
Read 2 more answers
-18= 5-(6k - 19) i have the answer but i need help on how to get the answer 7?
insens350 [35]

Answer:

k = 7

Step-by-step explanation:

Step 1: Write equation

-18 = 5 - (6k - 19)

Step 2: Solve for <em>k</em>

<u>Distribute negative:</u> -18 = 5 - 6k + 19

<u>Combine like terms:</u> -18 = -6k + 24

<u>Subtract 24 on both sides:</u> -42 = -6k

<u>Divide both sides by -6:</u> k = 7

Step 3: Check

<em>Plug in k to verify it's a solution.</em>

-18 = 5 - (6(7) - 19)

-18 = 5 - (42 - 19)

-18 = 5 - 23

-18 = -18

7 0
3 years ago
Twice the difference of a number and
Cerrena [4.2K]
2(w-8) = 9. Hope it helps!
4 0
3 years ago
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