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Eva8 [605]
3 years ago
12

Analyze the diagram below and complete the instructions that follow.

Mathematics
1 answer:
vlada-n [284]3 years ago
5 0

Answer:

4/5

Step-by-step explanation:

The cosine of the angle is found as the ratio of adjacent to the hypotenuse.

To find it first find the sin 45 = √8/ x. This is equal to 4.

sin 45 = √8/ x

x = √8/ sin 45

x = 4

This means the triangle FHE has side lengths 3, 4,  and 5.

The cosine of FHE will be FH / HE. This is 4/5.

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Helpp me pleasee correct answers! (10 points )
Softa [21]

Answer:  Approximately 30.4 degrees

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

Work Shown:

324 - 1.6 = 322.4 is the height of the right triangle. This is the opposite side compared to the angle theta.

The adjacent side is 550 since it is the leg closest to the angle theta.

We'll use the tangent rule to connect the two sides

tan(angle) = opposite/adjacent

tan(theta) = 322.4/550

theta = arctan(322.4/550)

theta = 30.3780566013696

theta = 30.4

Your teacher didn't provide any rounding instructions, but I rounded to one decimal place since the value 1.6 is to one decimal place.

5 0
3 years ago
In parts ​(a) through ​(e)​ below, mark the given statement as True or False. Justify each answer. All vectors are in set of rea
Oxana [17]

Answer:

(c)

"The given statement is true, by definition of length of a vector v, ||v|| = \sqrt{v\bullet v}"

Step-by-step explanation:

(a) v  \bullet v = || v ||^2

That is completely correct Remember that if  v = (x_1,x_2,x_3)\\ then

v \bullet v = x_1*x_1+x_2*x_2+x_3*x_3 = x_1^2+x_2^2+x_3^2 = ||v||^2

Therefore the correct answer would be (c).

"The given statement is true, by definition of length of a vector v, ||v|| = \sqrt{v\bullet v}"

5 0
3 years ago
Which expression is equivalent to −6(23−12)?
Softa [21]

Answer:

C

Step-by-step explanation:

5 0
2 years ago
If j and k are parallel lines, A and B are points on j, and C and D are points on k, how many planes contain points A, B, C, and
natita [175]

A and B are points on j.

C and D are points on k.

Join AD and BC.

ABCD is a quadrilateral.

Clearly, the quadrilateral ABCD is the only plane that contains the points A, B, C and D.

Hence, correct answer is option A. Exactly one.

8 0
3 years ago
A map of a new dog park shows that it is triangular and that the sides measure 18.5m, 36.9m, and 16.9m. Are the dimensions corre
r-ruslan [8.4K]
In order to check whether the length of the sides are applicable to form a triangle is that we have to make sure that the sum of the length of two side should be greater than the third side.

<span>18.5 m, 36.9 m, and 16.9 m
18.5 m < </span><span>36.9 m +16.9 m
</span>36.9 m < 18.5<span> m +16.9 m
</span>16.9 m < 18.5 m + <span>36.9 </span>m

So the dimensions are correct!
5 0
3 years ago
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