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3 years ago

What is the trigonometric ratio for sin C?

Mathematics

1 answer:

Vesna [10]3 years ago

6 0

<h3>Answer: 9/41</h3>

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Explanation:

We have a triangle with these three sides.

a = 80
b = unknown
c = 82

Use the pythagorean theorem to find b

a^2+b^2 = c^2

b = sqrt(c^2 - a^2)

b = sqrt(82^2 - 80^2)

b = sqrt(324)

b = 18

This is the missing vertical leg of the triangle. And this is also the side opposite angle C.

We have enough information to compute the sine of the angle.

sin(angle) = opposite/hypotenuse

sin(C) = AB/AC

sin(C) = 18/82

sin(C) = (9*2)/(41*2)

sin(C) = 9/41

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2 years ago

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Which of the following CANNOT be given the lengths of the sides of a triangle?

Katena32 [7]

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3 years ago

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Please help problems below!!

kap26 [50]

Answer:

9. B 10. C 11. A 12. C

Step-by-step explanation:

Greater rate of change simply means slope! Which ever of the functions has the greatest slope (positive or negative)

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b. the table is increasing by 10, so, 10/1

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a. 4/3 = 1.333333

b. 10/1 = 10

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In this case, B is the greatest number, therefore, it has the greatest rate of change

10.

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b. 2/1 = 2

c. 4/1 = 4

In this case, C, is the greatest number, meaning its rate of change is highest

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3 years ago

Three people pull simultaneously on a stubborn donkey. Jack pulls directly ahead of the donkey with a force of 90.5 N , Jill pul

Radda [10]

Answer:

Fn= 174.9 N : Magnitude of the net force the people exert on the donkey.

Step-by-step explanation:

We find the components of the forces in x-y-z

Force of Jack in z =F₁z=90.5 N in direction (+z)

Force of Jill in x = F₂x= -82.3*cos45°= - 58.19 N (-x)

Force of Jill in y =F₂y=-82.3*sin45°= + 58.19 N (+y)

Force of Jane in x =F₃x=125*cos45°= + 88.4 N (+x)

Force of Jane in y =F₃y=125*sin45°= + 88.4 N (+y)

Calculating of the components of the net force the people exert on the donkey.

Fnx= F₂x+F₃x=( - 58.19+ 88.4 )N=30.2N (+x)

Fny= F₂y+F₃y=( 58.19+88.4 ) = 146.59 N (+y)

Fnz =F₁z=90.5 N (+z)

Calculating of the magnitude of the net force the people exert on the donkey.

$F_{n} =\sqrt{(F_{nx})^{2}+(F_{ny}) ^{2} +(F_{nz}) ^{2} }$

$F_{n} =\sqrt{(30.2)^{2}+( 146.59) ^{2} +(90.5) ^{2} }$

$F_{n} = 174.9 N$

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3 years ago

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Alika [10]

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3 years ago