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lozanna [386]
3 years ago
10

A = 16, b = 20, mZ B = 40 Law of cosines

Mathematics
1 answer:
bezimeni [28]3 years ago
4 0
What is this ?chfufuykygiufffjfufuf
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A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an
Snowcat [4.5K]

Answer:

\cos\theta=\frac{10}{\sqrt{116}}

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

\cos\theta is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let c represent the length of the hypotenuse):

10^2+4^2=c^2

100+16=c^2

116=c^2

c=\sqrt{116}

Thus, we know the adjacent is 10, and the hypotenuse is \sqrt{116}. This means \cos\theta=\frac{10}{\sqrt{116}}.

Hope this helps!

5 0
3 years ago
Which function has an inverse that is also a function? {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} {(–4, 6), (–2, 2), (–1, 6)
DaniilM [7]
(-4,4) because its at the same hold for the other functions
4 0
3 years ago
Read 2 more answers
Profit 504 thousand more than -141 thousand
polet [3.4K]
The other company's profit was 363 thousand dollars more
5 0
3 years ago
Can someone help me please.​
BabaBlast [244]

Answer:

B, or second answer choice

Step-by-step explanation:

y - y_{1} = m(x - x_{1})

y - 1/3 = 3/4 (x - 4)

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8 0
2 years ago
In ΔSTU, the measure of ∠U=90°, SU = 7, UT = 24, and TS = 25. What ratio represents the tangent of ∠T?
Vinvika [58]

Answer:

Tan T = 7/24

Step-by-step explanation:

Firstly, please check attachment to have a picture of the triangle we are solving.

Now, we are concerned with calculating the ratio that represents the tangent of angle T.

Mathematically, the tangent of an angle is the ratio of the length of the opposite to the length of the adjacent.

In this question, our opposite is 7 while the adjacent is 24.

Thus Tan T = 7/24

6 0
3 years ago
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