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2 years ago

Round the number 157 to the nearest tens plce

Mathematics

1 answer:

RUDIKE [14]2 years ago

3 0

The 7 In 157 would round it up to 160. I hope this helps!

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I need help with this question

Novay_Z [31]

Answer:

$\frac{\sqrt{3} - 1}{2\sqrt{2}}$

$\frac{-(\sqrt{3} + 1)}{2\sqrt{2}}$

$- \frac{\sqrt{3} - 1}{\sqrt{3} + 1}$

Step-by-step explanation:

Given $\frac{11 \pi}{12} = \frac{3 \pi}{4} + \frac{\pi}{6}$

(A) $sin(\frac{11\pi}{12}) = sin (\frac{3 \pi}{4} + \frac{\pi}{6})$

We know that Sin(A + B) = SinA cosB + cosAsinB

Substituting in the above formula we get:

$sin (\frac{3\pi}{4} + \frac{\pi}{6}) = \frac{1}{\sqrt{2}} . \frac{\sqrt{3}}{2} + \frac{-1}{\sqrt{2}}. \frac{1}{2}$

$$ \implies \frac{1}{\sqrt{2}} (\frac{\sqrt{3} - 1}{2}) = \frac{\sqrt{3} - 1}{2\sqrt{2}}$

(B) Cos(A + B) = CosAcosB - SinASinB

$cos(\frac{11\pi}{12}) = cos(\frac{3\pi}{4} + \frac{\pi}{6}})$

$\implies \frac{-1}{\sqrt{2}}. \frac{\sqrt{3}}{2} - \frac{1}{\sqrt{2}} . \frac{1}{2}$

$\implies cos(\frac{11\pi}{12}) = cos(\frac{3\pi}{4} + \frac{\pi}{6})$

$$ = \frac{-(\sqrt{3} + 1)}{2\sqrt{2}}$

From the above obtained values this can be calculated and the value is $- \frac{\sqrt{3} - 1}{\sqrt{3} + 1}$ .

3 0

2 years ago

Mark is in training for a bicycle race. He needs to ride 50 kilometers a week as part of his training. He rode 18.23 kilometers

castortr0y [4]

Mark has to ride 50 kilometers. He already rode 18.23 and 13.94.

18.23km+13.94km=32.17km

50km-32.17km=17.83km

Mark will have to ride 17.83km more. The correct answer is B.

4 0

2 years ago

Evaluate 2p - 3r + t for p = 10, r = -4 and t = 5. <br> 8 <br> 13 <br> 37

charle [14.2K]

= (2*10) + (-3*-4) + 5 (* means multiply)
= 20 + 12 + 5
= 37

6 0

3 years ago

Amelia typed an essay on her computer. she typed 3/5 of a page in 1/5 hour. what was her unit rate

Maru [420]

3/5 - 1/5 hour
3/5 x 5 = 3 pages in 1 hour
Unit Rate : 3:1.

4 0

3 years ago

Easy fractions help please please thank you

guapka [62]

Answer:

1. B 2. B 3. A 4. A 5. A 6. B

Step-by-step explanation:

6 0

2 years ago

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