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larisa [96]
3 years ago
7

Find the angle represented by x rounded to the nearest tenth of a degree

Mathematics
1 answer:
Zinaida [17]3 years ago
8 0

Answer:

<h3>x = 49.6°</h3>

Step-by-step explanation:

Find the image attached;

From the image;

opposite side = 16

Hypotenuse = 21

Angle of inclination = x

Using the SOH identity

sinx = opposite/hypotenuse

sin x = 16/21

sin x = 0.7619

x = arcsin 0.7619

x = 49.6° (to the nearest tenth of a degree)

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Find a basis for the orthogonal complement of the subspace of R4 spanned by the vectors. v1 = (1, 4, -5, 3), v2 = (4, 15, 0, 5),
Arlecino [84]

Answer:

W1 =  ( -75, 20, 1 , 0 )

W2 = ( 25, -7 , 0, 1 )

Step-by-step explanation:

attached  below is the remaining part of the solution

for a homogenous system of equation ; Ax = 0

x1 + 4x2 -5x3 + 3x4 = 0

-x2 + 20x3 -7x4 = 0         note: x3 and x4 are free variables

we can take x3 = 0 and x4 = 1 , hence ; x2 = -7

∴ x1 - 28 + 3 = 0 = x1 = 25

W2 = ( x1 ,x2, x3, x4 ) = ( 25, -7 , 0, 1 )

now lets take x3 = 1  and x4 = 0   hence x2 = 20 , x1 = -75

∴ W1 =  ( x1 , x2 , x3, x4 ) = ( -75, 20, 1 , 0 )

7 0
3 years ago
Find the product of (0.7) x 10^4 and 2.
Ipatiy [6.2K]

Answer:

A. because 3.7 ×2 is 7.4. so the full answer would be 7.4 ×10^4

4 0
3 years ago
Lauren is building a tree house with her dad. The dimensions of the floor are 9 feet by 6 feet. What is the area of the floor, m
lbvjy [14]
The area is 6 yrds^2
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3 0
3 years ago
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Answer:

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Step-by-step explanation:

none of the above

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6 0
3 years ago
Determine the standard variation of the data below. (1, 2, 3, 4, 5)
Ne4ueva [31]
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Then, we calculate for the summation of the squares of differences of these numbers from the mean, S
 
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Divide this summation by the number of items and take the square root of the result to get the standard deviation.

                              SD = sqrt (10 / 5) = sqrt 2  
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Thus, the standard deviation of the given is equal to 1.41. 
              
                            
8 0
3 years ago
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