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ss7ja [257]
3 years ago
11

Will give brainliest answer

Mathematics
2 answers:
tatuchka [14]3 years ago
8 0

Answer:

tan x=O/A

X=tan-¹(O/A)

X=tan-¹(10.5/20.1)

X=27.6

Artist 52 [7]3 years ago
5 0

Answer:

x = 132°

Step-by-step explanation:

The figure has parallel bases and is a trapezium

The lower base angle is supplementary to the upper base angle, that is

x + 48° = 180° ( subtract 48° from both sides )

x = 132°

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The population of a town has grown at an annual rate of 2.7%. How long does it take for it’s population of 18,450 people to doub
charle [14.2K]
It would take 26 years.

The equation will be in the form y = a(1+r)ˣ, where a is the initial population, r is the growth rate as a decimal number, and x is the amount of time.  Using our information we have

y = 18450(1+0.027)ˣ = 18450(1.027)ˣ

We want the population to be doubled; 18450*2 = 36900:
36900 = 18450(1.027)ˣ

Divide both sides by 18450:
36900/18450 = 18450(1.027)ˣ/18450
2 = 1.027ˣ

Using logarithms, we have
\log_{1.027}2=x
\\
\\x=26.017
3 0
3 years ago
An animator draws 120 cels to make a 5 seconds of a 12-second sequence of a film. How many more cels does she need to draw to co
s344n2d4d5 [400]

Answer:

She needs 168 more cels to draw to complete the film sequence

Step-by-step explanation:

120 Cells in 5 seconds

You want 12 seconds.

Ratio (Proportion)

120:5

Lets find the "unit rate" of the proportion.

120/5 = 24

So the unit ratio is 24:1

Now, we can deduce to it being:

120:5

240:10

264:11

288:12

She has 120 done.

So, 288-120 = 168.

She needs 168 more cels to draw to complete the film sequence

4 0
2 years ago
What is the 5th term in the sequence below? 255, 270, 285, 300,
lesya [120]

Answer:

315

Step-by-step explanation:

each one adds 15.

300 + 15 = 315

8 0
2 years ago
Which expression defines the arithmetic series 15 + 25 + 35 + . . . for seven terms?
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45,55,65,75,85,95 and 105
3 0
3 years ago
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nadezda [96]
He needs 3 and 1/3 yards
7 0
3 years ago
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