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lions [1.4K]
4 years ago
9

Find all angles, 0 ≤C<360 that satisfy the equation below, to the nearest tenth of a degree.

Mathematics
1 answer:
ludmilkaskok [199]4 years ago
7 0

Move all the terms involving the sine to one side, and all the numbers to the other:

9\sin(c)-2=\sin(c)-7 \iff 8\sin(c) = -5\iff \sin(c)=-\dfrac{5}{8} \iff c = \arcsin\left(-\dfrac{5}{8}\right)\approx 321.3

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Ax + By = -C solve for x
RoseWind [281]

Answer:

C=−Ax−By

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

3 0
3 years ago
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A cylinder has a radius of 14 m and a height of 6 m. What is the exact volume of the cylinder? 84π m³ 168π m³ 504π m³ 1176π m³
murzikaleks [220]

Answer:

1176π m³

Step-by-step explanation:

The formula for the volume of a cylinder is:

V = πr²h

Let's substitute the values given into this equation:

V = πr²h

V = (π)(14²)(6)

Solve:

V = (π)(14²)(6)

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x>12

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What is the slope of the line that passes through the points (-5,-6 ) and (5,1)?
Vsevolod [243]

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8 0
3 years ago
Given: PQ= TQ, UQ: QS
joja [24]

Answer:

The required prove is shown below.

Step-by-step explanation:

Consider the provided statement.

The required figure is shown below:

 Statement                                             Reasons

PQ ≅ TQ; UQ ≅ QS                               Given

PQ = TQ, UQ = QS                     Definition of Congruence

PQ + QS = PS; TQ+QU = TU    Segment Addition Postulate

TQ + QS = PS                            Substitution  (PQ = TQ)

TQ + QS = TU                            Substitution  (QU = QS)

PS = TU                                    Transitive Property

Prove: PS ≅TU                          Definition of Congruence

Hence, the required prove is shown above.

3 0
4 years ago
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