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3 years ago

Find the perimeter of this semi-circle with radius, r = 22cm. Give your answer rounded to 1 DP.

Mathematics

1 answer:

shepuryov [24]3 years ago

3 0

Answer:

69.1 cm

Step-by-step explanation:

Circumference of a circle

c = 2πr

Half of that would be a semi-circle

c = πr

c = π * 22

c = 69.115038379

Rounded

69.1 cm

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In triangle ABC, a = 4, b = 6, and cos C = − 1/4. What is the length of side c?

shusha [124]

The length of side c would be 8.

Step-by-step explanation:

Given that,

a = 4

b = 6

cosC = -1/4

If we are given two sides and angle, the law of Cosines can be used to find the third side:

$c^{2} = a^{2} + b^{2} - 2ab (cos(c))$

By inserting the values in the formula, we get

$c^{2} = 4^{2} + 6^{2} - 2.4.6 (-\frac{1}{4} )$

$c^{2} = 16 + 36 + 12$

$c^{2} = 64$

$\sqrt{c^{2} } = \sqrt{64}$

c = 8.

Therefore, the length of side c would be 8.

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2 years ago

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melomori [17]

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3 years ago

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1. if a = 16 and b= 12, find c

klasskru [66]

Answer:

Step-by-step explanation:

The pythagorean theorem states that

$a^2+b^2=c^2$

So $16^2 + 12^2 = c^2\\256+144 = c^2\\400 = c^2$

You would then do

$400 = c^2\\\sqrt{400} = c$

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3 years ago

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erik [133]

Answer:

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Step-by-step explanation:

$-7x=14$

Dividing both sides by -7.

$\displaystyle \frac{-7x}{-7} =\frac{14}{-7}$

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There is only one solution that satisfies the equation.

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3 years ago

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