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Sphinxa [80]
3 years ago
12

A surveyor is standing 30 feet from the base of a tall building. The surveyor measures the angle of elevation from the ground to

the top of the building to be 65°. Find the height h of the building to the nearest foot.
Mathematics
1 answer:
lisov135 [29]3 years ago
5 0
We will use the tangent ratio since we have the adjacent side to the 65 degrees and we need to find the opposite side to the 65 degrees.

Tan α = opp/adj
Tan 65 = x/30
To solve, multiply both sides by 30.
30 Tan65 = x
x = 64 ft
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Which expression represents the ratio of the difference of the two means to Sidney's mean absolute deviation
prohojiy [21]

Answer:

The ratio of the difference of the two means to Sidney's mean absolute deviation = \frac{4}{3.28} = 1.2195

Step-by-step explanation:

P.S - The exact question is -

Given - The means and mean absolute deviations of Sidney’s and Phil’s grades are shown in the table below.

                                       Sidney’s Grades           Phil’s Grades

Mean                                     82                                    78

Mean Absolute Deviation      3.28                                 3.96

To find - Which expression represents the ratio of the difference of the two means to Sidney’s mean absolute deviation?

Proof -

Given that Mean of Sidney Grades = 82

                 Mean of Phil's   Grades = 78

So,

The difference of two means = 82 - 78 = 4

Also,

Given, Mean Absolute Deviation of Sydney = 3.28

Now,

The ratio of the difference of the two means to Sidney's mean absolute deviation = \frac{4}{3.28} = 1.2195

4 0
3 years ago
HELPOOPPPPPPPPPSBSBBSHSHABDBNSKA
NNADVOKAT [17]

Answer:

Step-by-step explanation:

5 0
3 years ago
What is -2(-y) in expanded form ​
damaskus [11]

Answer:

2y

Step-by-step explanation:

(-2)(-y) = (-1)(2)(-1)(y) = (-1)^2\ccdot  2y = 2y

4 0
2 years ago
the area of a rectangle is 42.15 square meters. if the length is 21 meters, what is perimeters of the rectangle?
Vsevolod [243]

Answer:

perimeters of the rectangle=p=46.014 metres

Step-by-step explanation:

Given that:

Length (l) = 21 m

Area of rectangle(A) = 42.15 meter-square

Width (w)=?

Required data:

Perimater of Rectangle=p=?

Calculation:

As we know that Area of rectangle=A=l*w

Putting the value we get

42.15 m(square)=(21 m)*w

or w=42.15/21

or w=2.007 m

Now to find perimters of rectangle we know that

p=2(l + w) metres

putting the values

p=2(21+2.007) metres

p=2(23.007) metres

p=46.014 metres

7 0
3 years ago
Read 2 more answers
Listed below is the amount of commissions earned last month for the eight members of the sales staff at Best Electronics. Calcul
Solnce55 [7]

Answer:

0.438

Step-by-step explanation:

Given the data:

980.9, 1036.5, 1099.5, 1153.9, 1409.0, 1456.4, 1718.4, 1721.2

Coefficient of skewness:

3 * (mean - median) / standard deviation

The mean of the dataset :

Σ(X) / N ; N = sample size = 8

980.9+1036.5+1099.5+1153.9+1409.0+1456.4+1718.4+1721.2

= 10575.8 / 8

= 1321.975

Median :

980.9, 1036.5, 1099.5, 1153.9, 1409.0, 1456.4, 1718.4, 1721.2

1/2(n + 1)th term

1/2(9) = 4.5th term

(1153.9+1409.0) / 2

= 1281.45

Standard deviation:

Sqrt[Σ(X - mean)²/ (N - 1)]

Using calculator :

Standard deviation estimate of population = 277.882456

Coefficient of skewness :

3(1321.975 - 1281.45) / 277.882456

121.575 / 277.882456

= 0.4375051

= 0.4375

Using software excel :

Using excel's AVERAGE, MEDIAN and STDEV.P functions, the Coefficient of skewness can be obtained using the formula :

3 * (mean - median) / standard deviation

Coefficient of skewness obtained is 0.438

8 0
2 years ago
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