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CaHeK987 [17]
3 years ago
14

Use the law of cosines to find the value of 2*4*5 cos theta

Mathematics
2 answers:
Lena [83]3 years ago
6 0

Answer:

The answer is 37

Step-by-step explanation:

sweet-ann [11.9K]3 years ago
3 0
We can proceed in solving the problem since all information are given such as 2*4*5costheta.
we have a=4, b=5, and C=theta
let us solve for "c" using Pythagorean
c²=a²+b²
c²=4²+5²
c=6.4
Solving for theta or C
c²=a²+b²-2abcosC
6.4²=4²+5²-2*4*5*cosC
C=90

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BRAINLIEST!!!
goldenfox [79]

Answer:  \frac{8}{17} or 8:17

Step-by-step explanation:

For any angle x (other than right angle) in a right triangle ,the trigonometric ratio of sin x is given by :-

\sin x=\frac{\text{side opposite to x}}{\text{Hypotenuse}}

Given: A right triangle with hypotenuse = 68 units

The side adjacent to S =  60

Let h be the side opposite to S, then using Pythagoras in the given right triangle, we get

(68)^2=60^2+h^2\\\\\Rightarrow\ h^2=68^2-60^2\\\\\Rightarrow\ h^2=1024\\\\\Rightarrow\ h=\sqrt{1024}=32

Thus, the side opposite to S = 32 units

Now,  the trigonometric ratio for sin S is given by :-

\sin S=\frac{\text{side opposite to S}}{\text{Hypotenuse}}\\\\\Rightarrow\sin S=\frac{32}{68}=\frac{8}{17}

Hence, the  trigonometric ratio for sin S =\frac{8}{17} or 8:17

5 0
3 years ago
If you had 11 dollars and spent 7 what fraction of the money did you spend
tatyana61 [14]

Answer:

7/11

Step-by-step explanation:

3 0
2 years ago
I NEED HELP PLEASE HELP ME
Aloiza [94]
Answer:
294.14cm^2

Explanation:

First find the area of the whole piece of paper:
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Then find the area of the two semicircles, semicircle + semicircle = 1 circle:

Area of a circle= (radius squared)(pi):
(7^2)(3.14) = 153.86

Subtract the area of the two semicircles from the whole paper area:
448-153.86 = 294.14


I hope this isn’t too confusing :)


5 0
3 years ago
The price of an Item has been reduced by 80%. The original price was $65. What is the price of the item now?​
PIT_PIT [208]

Answer:

$13

Step-by-step explanation:

multiply 65 by 80 then divide by 100, you get 52, so subtract 65 from 52 you get 13

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2 years ago
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Phantasy [73]

Answer:

ΔABC≅ΔDEC by AAS

Step-by-step explanation:

You can use the AAS method of congruency.

Since you already have <BAC and <EDC congruent to eachother, and sides BC and EC congruent to each other, you only need that one remaining angle in between. <ACB can be proven congruent to <DCE by the Vertical Angles Theorem, and that gives you the AAS you need to prove that these two triangles are congruent

Hope this helped.

5 0
2 years ago
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