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3 years ago

Which expression matches the words "the product of 12 and 4, then subtract 8

Mathematics

1 answer:

Rasek [7]3 years ago

7 0

The answer is 8 because 12 plus 4 is 16, and then 16 minus 8 is 8

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8_murik_8 [283]

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Step-by-step explanation:

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3 years ago

I need help to match them

Sav [38]

7 is the third one. 8 is the first one. 9 is the second one.

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3 years ago

Writing to explain if 5 potatoes together have a mass of 1 kilogram and 8 pears together have a mass of 1,200 grams, which has t

spayn [35]

Since 1 kilogram equals 1,000 grams 5 potatoes equals 1,000 grams. 1,000 divided by 5 is 200. This means 1 potato has a mass of 200 grams 1,200 divided by 8 is 150. that means a pear has a mass of 150 grams. Since 200 grams is bigger then 150 grams, that means the potato has greater mass>

Please vote this as the best answer :)

6 0

3 years ago

Use the figure below to find the exact values of the double angles.

scZoUnD [109]

Right away, we know that

$\cos\beta=\dfrac{16}{20}=\dfrac45$

which means

$\sin\beta=\sqrt{1-\cos^2\beta}=\dfrac35$

Then

$\cos\beta=\cos2\left(\dfrac\beta2\right)=\cos^2\dfrac\beta2-\sin^2\dfrac\beta2$

$\sin\beta=\sin2\left(\dfrac\beta2\right)=2\sin\dfrac\beta2\cos\dfrac\beta2$

Let $x=\cos\dfrac\beta2$ and $y=\sin\dfrac\beta2$ . Then

$\begin{cases}\dfrac45=x^2-y^2\\\\\dfrac35=2xy\end{cases}\implies\begin{cases}\cos\dfrac\beta2=\dfrac3{\sqrt{10}}\\\\\sin\dfrac\beta2=\dfrac1{\sqrt{10}}\end{cases}$

from which we find

$\tan\dfrac\beta2=\dfrac{\sin\frac\beta2}{\cos\frac\beta2}=\dfrac13$

You can use the same ideas above to find the trig ratios for $\dfrac\alpha2$ , starting from the given fact that $\sin\alpha=\dfrac{16}{20}=\dfrac45$ .

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3 years ago

The points with coordinates (0,0)

Inessa05 [86]

Do you have a picture?

8 0

3 years ago

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