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3 years ago

How is multiplying mixed numbers different than multiplying fractions?

1 answer:

7 0

The difference could be that it is more difficult than multiplying improper/regular fractions. Multiplying improper/regular fractions makes it much easier by just multiplying the numerator and denominator of the fractions while mixed fractions require more steps. After multiplying the fractions you just need to simplify.

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Morgan found a stone arrowhead. He measured it three times. He measured it as 2 inches to the nearest inch, to the nearest 1/2 i

Irina-Kira [14]

If it is 2 inches to the nearest quarter inch, then it is 2 inches to the nearest half or whole inch as well

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3 years ago

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Which number is equal to 17.75? F. 1.775 G. 17.075 H. 17.750 I. 1.7750

dexar [7]

The answer is :
H. 17.750

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3 years ago

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Mattel wanted to examine how popular 7 new toy prototypes would be to 9 year old boys. Mattel brought in 40 boys who were nine y

den301095 [7]

Answer:

One proportion z test

Step-by-step explanation:

For this case, we can use the one proportion z test, this test is used when we have 2 categories and we want to see how significantly different is one from the other.

In this case, our two categories would be the toy prototype and the traditional toys.

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3 years ago

PROVE THAT: cos 20° - sin 20° = \sqrt{2}sin25°

Lemur [1.5K]

Answer:

See below.

Step-by-step explanation:

$\cos(20)-\sin(20)=\sqrt{2}\sin(25)$

First, use the co-function identity:

$\sin(90-x)=\cos(x)$

We can turn the second term into cosine:

$\sin(20)=\sin(90-70)=\cos(70)$

Substitute:

$\cos(20)-\cos(70)=\sqrt{2}\sin(25)$

Now, use the sum to product formulas. We will use the following:

$\cos(x)-\cos(y)=-2\sin(\frac{x+y}{2})\sin(\frac{x-y}{2})$

Substitute:

$\cos(20)-\cos(70)=-2\sin(\frac{20+70}{2})\sin(\frac{20-70}{2})\\\cos(20)-\cos(70) =-2\sin(45)\sin(-25)\\\cos(20)-\cos(70)=-2(\frac{\sqrt{2}}{2})\sin(-25)\\ \cos(20)-\cos(70)=-\sqrt{2}\sin(-25)$

Use the even-odd identity:

$\sin(-x)=-\sin(x)$

Therefore:

$\cos(20)-\cos(70)=-\sqrt{2}\sin(-25)\\\cos(20)-\cos(70)=-\sqrt{2}\cdot-\sin(25)\\\cos(20)-\cos(70)=\sqrt{2}\sin(25)$

Replace the second term with the original term:

$\cos(20)-\sin(20)=\sqrt{2}\sin(25)$

Proof complete.

4 0

4 years ago

The price of one share of XYZ inc's stock drop by $0.02 on Monday. On Tuesday the price goes back up by $0.05.

Vsevolod [243]

Answer:

1. $(x+0.03) - $x

2. $ 34.21

Step-by-step explanation:

Let the price of XYZ inc's share to be = $ x

On Monday, the price drops by $ 0.02 = $ x- $ 0.02 = $ (x-0.02)

New price of shares on Monday is = $ (x- 0.02)

On Tuesday the price goes up by $0.05 = $ (x-0.02) + $ 0.05 = $(x-0.02+0.05)

New price on Tuesday = $( x+ 0.03)..............................................(a)

Change in price of one share of XYZ's stock= Price on Tuesday - price of share

= $(x+0.03) - $x..........................................(b)

2. Give that x= $34.18 solve equation (a) above

Price on Tuesday at close of business= $ (x+0.03)

= $ (34.18+0.03)

= $ 34.21

5 0

3 years ago