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blsea [12.9K]
3 years ago
11

From a distance of 20 meters, from its base, the angle of elevation of the top of a building is 32 degrees. Find the height of t

he building.
Mathematics
1 answer:
Strike441 [17]3 years ago
4 0

TAN(32°) = x/20 --> x = 12.50 m

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Let h(x)=(g o f)(x)=√x+3 <br> Which of the following could be a possible decomposition of h(x)?
hodyreva [135]
In this case, h(x) = sqrt(x) + 3

A. f(x)=x+3; g(x)=√x 
B. f(x)=x; g(x)=x+3 
C. f(x)=√x; g(x)=x+3 
D. f(x)=3x; g(x)=√x

Again, you need to find a function f(x) that once evaluated in g(x) gives us h(x)

h(x) =  g(f(x))

Looking at the options, the answer is C.

g(f(x)) = f(x) + 3 = sqrt (x) + 3 = h(x)
8 0
3 years ago
Read 2 more answers
The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviat
tensa zangetsu [6.8K]

Answer:

0.6710

Step-by-step explanation:

The diameters of ball bearings are distributed normally. The mean diameter is 107 millimeters and the population standard deviation is 5 millimeters.

Find the probability that the diameter of a selected bearing is between 104 and 115 millimeters. Round your answer to four decimal places.

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 107 mm

σ is the population standard deviation = 5 mm

For x = 104 mm

z = 104 - 107/5

z = -0.6

Probability value from Z-Table:

P(x = 104) = 0.27425

For x = 115 mm

z = 115 - 107/5

z = 1.6

Probability value from Z-Table:

P(x = 115) = 0.9452

The probability that the diameter of a selected bearing is between 104 and 115 millimeters is calculated as:

P(x = 115) - P(x = 104)

0.9452 - 0.27425

= 0.67095

Approximately = 0.6710

8 0
2 years ago
PLZ HELP I’LL GIVE BRAINLIEST
son4ous [18]
I’m not sure if this is right but im guessing c.
8 0
3 years ago
Read 2 more answers
Simplify.
Yuki888 [10]

Answer:

(B) -25/4

Step-by-step explanation:

-5/3 ÷ 4/15

Copy dot flip

-5/3 * 15/4

Rewriting for easier math

-5/4 * 15/3

-5/4 * 5

-25/4

4 0
3 years ago
Find the slope of the line that contains the two points (0,1) and (1,3)
klio [65]

Answer:

m=2 or y=2x+1

Step-by-step explanation:

first use the y2-y1/x2-x1 formula and then use y=mx+b formula

plug in 3 for y2 and 1 for y1

plug in 1 for x2 and 0 for x1

\frac{3-1}{1-0} =\frac{2}{1} =2

so ur slope is 2

_______________

for y=mx+b *extra info ig if u need it just incase*

i usually use the first point for this but u can use any one u want

plug in 0 for x

plug in 1 for y

and plug in 2 for m

1=2(0)+b

2*0=0

1=0+b

subtract o on both sides

1=b and b is ur y-intercept

y=2x+1

hope this helps

7 0
3 years ago
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