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3 years ago

A sector with a radius of 6 cm has a central angle measure of 4pi/9 in radians. What is the area of the sector?

Mathematics

1 answer:

Angelina_Jolie [31]3 years ago

3 0

Answer:

8πcm² = 8pi cm²

Step-by-step explanation:

The formula for area of a sector = ½r²θ

Where r = radius = 6cm

θ = central angle = 4pi/9 in radians = 4π/9

Area of the sector = 1/2 × 6² × 4π/9

Area of the sector = (144π/18)cm²

Area of the sector = 8πcm²

Therefore, Area of the sector =

8πcm² = 8pi cm²

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The equation that offers the best approximation to this result is: $h = -16\cdot t^{2}+28\cdot t + 8$ . (Choice D)

<h3>How to find the free fall formula for a given scenario</h3>

An object experiments a free fall when it is solely accelerated by gravity on the assumption of an <em>uniform</em> acceleration. The formula is described below:

$h =h_{o} + v_{o}\cdot t + \frac{1}{2}\cdot g\cdot t^{2}$ (1)

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$h_{o}$ - Initial height, in feet.
$v_{o}$ - Initial speed, in feet per second.
$t$ - Time, in seconds.
$g$ - Gravitational acceleration, in feet per square second.

If we know that $t = 2\,s$ , $h_{o} = 8\,ft$ , $h = 0\,ft$ , $g = -32.174\,\frac{ft}{s^{2}}$ , then the height formula is:

$0 = 8 +2\cdot v_{o} - \frac{1}{2}\cdot (32.174)\cdot (2)^{2}$

$0 = -56.348+2\cdot v_{o}$

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2 years ago

How did the temperature change if: at first it decreased by 60% and then increased by 80%. PLEASE NEED HELP!

Sergio039 [100]

The temperature decreased by 28%

Step-by-step explanation:

How did the temperature change if :

At first it decreased by 60%
Then increased by 80%

Assume that the temperature before decreasing is 100%

∵ The temperature before decreasing = 100%

∵ It decreased by 60%

→ Before decreasing : decreasing : after decreasing

→ 100% : 60% : 100% - 60% = 40%

∴ The temperature after decreasing = 40%

Assume that the temperature after decreasing is 100%

∵ The temperature after decreasing = 100%

∵ It increased by 80%

By using the ratio method

→ After decreasing : increasing : after increasing

→ 100% : 80% : 100% + 80% = 180%

→ 40% : : x%

By using cross multiplication

∴ 100% × x% = 40% × 180%

- Divide both sides by 100%

∴ x% = $\frac{(40)(180)}{100}$

∴ x% = 72%

∵ At first the temperature = 100%

∵ At last the temperature = 72%

∵ The first the temperature > the last the temperature

∴ The decreasing in temperature = 100% - 72% = 28%

The temperature decreased by 28%

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You can learn more about ratio in brainly.com/question/2707032

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3 years ago