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3 years ago

Please help me !

Mathematics

1 answer:

miv72 [106K]3 years ago

7 0

List out the multiples of 8

8, 16, 24, 32, 40, 48, 56, 64, 72, 80

I'm going to highlight in bold the values between 20 and 50

8, 16, 24, 32, 40, 48, 56, 64, 72, 80

So the favorable outcomes, aka the outcomes we want, are: {24, 32, 40, 48}

These four values are all divisible by 8. Also, these values are between 20 and 50.

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3 years ago

Please help me thank you

Hoochie [10]

Answer:

$\large\boxed{\sin2\theta=\dfrac{\sqrt3}{2},\ \cos2\theta=\dfrac{1}{2}}$

Step-by-step explanation:

We know:

$\sin2\theta=2\sin\theta\cos\theta\\\\\cos2\theta=\cos^2\theta-\sin^2\thet$

We have

$\sin\theta=\dfrac{1}{2}$

Use $\sin^2\theta+\cos^2\theta=1$

$\left(\dfrac{1}{2}\right)^2+\cos^2\theta=1\\\\\dfrac{1}{4}+\cos^2\theta=1\qquad\text{subtract}\ \dfrac{1}{4}\ \text{from both sides}\\\\\cos^2\theta=\dfrac{4}{4}-\dfrac{1}{4}\\\\\cos^2\theta=\dfrac{3}{4}\to\cos\theta=\pm\sqrt{\dfrac{3}{4}}\to\cos\theta=\pm\dfrac{\sqrt3}{\sqrt4}\to\cos\theta=\pm\dfrac{\sqrt3}{2}\\\\\theta\in[0^o,\ 90^o],\ \text{therefore all functions have positive values or equal 0.}\\\\\cos\theta=\dfrac{\sqrt3}{2}$

$\sin2\theta=2\left(\dfrac{1}{2}\right)\left(\dfrac{\sqrt3}{2}\right)=\dfrac{\sqrt3}{2}\\\\\cos2\theta=\left(\dfrac{\sqrt3}{2}\right)^2-\left(\dfrac{1}{2}\right)^2=\dfrac{3}{4}-\dfrac{1}{4}=\dfrac{3-1}{4}=\dfrac{2}{4}=\dfrac{1}{2}$

3 0

3 years ago

A factory produces 60005/12

ycow [4]

Answer:

$About\ 193 \frac{209}{372} \ tons\ of \ steel$

Step-by-step explanation:

Given the amount of tons of steel produced monthly by a factory to be 6000 5/12 tons, to determine their daily production, we need to use the conversion;

Maximum of 31 days = 1 month

This means that the steel company produces 6000 5/12 tons of steel in 31 days.

6000 5/12 tons = 31 dsays

72,005/12 tons = 31 days

in a day, the company will therefore produce approx. (72,005/12)/31 tons of steel.

(72,005/12)/31 = 72,005/12 * 1/31

= 72,005/12*31

= 72,005/372

= 193 209/372 tons of steel.

Hence, the factory produces about $193 \frac{209}{372}$ tons of steel daily

6 0

3 years ago