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Marizza181 [45]

3 years ago

12

I need help on this one can anybody please tell me. Please and thank you.

1 answer:

docker41 [41]3 years ago

4 0

Do you have 1 7/8 divided by one half. With dividing you multiply by the reciprocal of 1/2 which is 2/1. Before you do that change 1 7/8 into a mixed number which is 15/8. 15 x 2= 30, 8 x 1=8. New fraction is 30/8. Now as a mixed number it is 3 6/8 which simplifies to 3 3/4. So your answer is D

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Find all solutions in the interval from [0,2pi)<br> 2cos(3x)= -sqrt{2}

algol [13]

Solutions of $2cos(3x)= -\sqrt{2}$ in the interval from [0,2pi) is $x =\frac{\pi}{12}$ and $x = \frac{23\pi}{12}$ .

<u>Step-by-step explanation:</u>

Find all solutions in the interval from [0,2pi)

$2cos(3x)= -\sqrt{2}$

⇒ $2cos(3x)= -\sqrt{2}$

⇒ $\frac{2cos(3x)}{2}= \frac{-\sqrt{2}}{2}$

⇒ $cos3x= \frac{-\sqrt{2}(\sqrt{2})}{2{\sqrt{2}}}$

⇒ $cos3x= \frac{-2}{2{\sqrt{2}}}$

⇒ $cos3x= \frac{-1}{{\sqrt{2}}}$

⇒ $cos^{-1}(cos3x)= cos^{-1}(\frac{-1}{{\sqrt{2}}})$

⇒ $3x=\pm \frac{\pi}{4}$

⇒ $x=\pm \frac{\pi}{12}$

Cosine General solution is :

$x = \pm cos^{-1}(y)+ 2k\pi$

⇒ $x = \pm \frac{\pi}{12}+ 2k\pi$ , k is any integer .

At k=0,

⇒ $x =\frac{\pi}{12}$ ,

At k=1,

⇒ $x = - \frac{\pi}{12}+ 2\pi$

⇒ $x = \frac{23\pi}{12}$

Therefore , Solutions of $2cos(3x)= -\sqrt{2}$ in the interval from [0,2pi) is $x =\frac{\pi}{12}$ and $x = \frac{23\pi}{12}$ .

5 0

3 years ago

Classify the triangle below<br> by side and by measure.

valentinak56 [21]

Nice c dbdjjskelwnsnsnah

3 0

3 years ago

Keith decided to do pushups everyday as part of his exercise routine. He started to do 10 pushups today and he will be adding 3

dezoksy [38]

Answer:

55 push ups

Step-by-step explanation:

Given that:

Starting count = 10

Additional count = 3

Starting count + (additional count * number of days)

Exactly on the 3rd week = on the 15th day

10 + (3 * 15)

10 + 45

= 55 push ups

4 0

3 years ago

Which system of inequalities has no solution?

katovenus [111]

Answer:

C

Step-by-step explanation:

Edge 2021

5 0

3 years ago

A family buys a refrigerator that costs € 840 paying a 30% cash deposit and the rest in 6 monthly installments, what is the amou

krok68 [10]

Answer:

€98.

Step-by-step explanation:

A 30% deposit is 0.30 * 840

= €252.

So there is 840 - 252

= €588 left to pay.

The amount of each monthly instalment

= 588 / 6

= €98.

8 0

3 years ago

Read 2 more answers