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NeTakaya
2 years ago
7

What is the value of h?

Mathematics
1 answer:
emmainna [20.7K]2 years ago
5 0
The angle on one side of a straight line is 180°, so 40° + 60° + h = 180°.
If you rearrange this you will get h = 180° - 60° - 40°, this will give you: h = 80°.
Hope this helps
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More properties of exponets<br> 2y² times 3xy³ over 3x²y^4
Greeley [361]
 the answer to the problem is 2y^3 3x3y4+4
6 0
3 years ago
Y varies directly as x and inversely as the square of z. y equals 10 when x equals 36 and z equals 6. Find y when x equals 2 and
Ilia_Sergeevich [38]

Answer:

y = 20

Step-by-step explanation:

y =  \frac{kz}{x}  \\ 10 =  \frac{6k}{36}  \\ \frac{6k}{6}  = \frac{360}{6} \\ k= 60 \\  y =  \frac{4(60)}{2}  \\ y =  \frac{240}{2}  \\ y = 120

If this is right, then please make it the brainliest.

7 0
3 years ago
From the top of a tower, an object which is 97 m away from the base of the tower, is at a 37° angle of depression.
mario62 [17]
<h3>Answer:  73</h3>

==================================================

Work Shown:

Check out the diagram below. Note the pair of alternate interior angles that are congruent (each 37 degrees). Then focus on triangle ABC. With the reference angle being at A, this means we use the tangent function because BC = x is the opposite side and AB = 97 is the adjacent side.

tan(angle) = opposite/adjacent

tan(A) = BC/AB

tan(37) = x/97

97*tan(37) = x

x = 97*tan(37)

x = 73.094742859971

For the last step, you'll need a calculator that can handle trig functions. Make sure the calculator is in degree mode. The result here is approximate. This rounds to 73 when rounding to the nearest whole number.

7 0
3 years ago
An ornithologist has 4 bird feeders at separate locations. She wonders if birds are equally likely to visit each of the feeders.
Marianna [84]

Answer:

the x² test statistic 13.71

Option a) 13.71 is the correct answer.

Step-by-step explanation:

Given the data in the question;

Feeder                     1      2      3       4

Observed visits; o_i  60   90   92    58

data sample = 300

Expected e_i = 300 / 4 = 75

the x² test statistic = ?

X^2_{stat = ∑[ (o_i - e_i)²/e_i]

X^2_{stat = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]

X^2_{stat = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]

X^2_{stat = 13.7066 ≈ 13.71

Therefore, the x² test statistic 13.71

Option a) 13.71 is the correct answer.

7 0
3 years ago
Find the area of the triangle defined by the coordinates (-3, -4), (-7, 0), and (-3, 4).
mr Goodwill [35]
The area of a Triangle is 1/2BH (B=Base length, H=Height)
When looking at the points, we can figure out the following:

The distance between the two points at the base is 8 (to get from -4 to 4 you must add 8) and the height is 4 (to get from -4 to 0 as well as 0 to 4, the distance is 4).

Now we plug in our values:
Area= 1/2(8)(4)
=1/2(32)
=16 Units squared

Therefore, your answer is 16 units squared.

I hope this Helps!
-Sinnamin
3 0
3 years ago
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