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2 years ago

Can anybody help me and explain how to calculate it?

Mathematics

1 answer:

Nadusha1986 [10]2 years ago

7 0

Answer:

$\frac{\pi }{4}$

Step-by-step explanation:

1. note, that

$arcsin\frac{1}{2}=\frac{\pi}{6};arcsin\frac{\sqrt{2}}{2}=\frac{\pi}{4};arcsin1=\frac{\pi }{2};arcsin\frac{\sqrt{3}}{2}=\frac{\pi}{3}$

2. after the substitution:

$\frac{\pi}{6}+\frac{\pi }{4}- \frac{\pi }{2} + \frac{\pi }{3}=\frac{\pi }{4}.$

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Tryrone purchased a container of juice that contains 150 calories. the label says that 70% of the calories are from carbohydrate

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The answer is 45 calories

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2 years ago

Angela works at a job that pays $9.46 per hour. She works for 30 hours per week.

lozanna [386]

Answer:

$13,622.4

Step-by-step explanation:

$1,135.2(what she gets paid per month) *12 (months per year)

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2 years ago

In a deck of playing cards, what is the

ICE Princess25 [194]

Step-by-step explanation:

As the cards are being drawn with replacement, the events are independent. Thus we can find the probability by multiplying the probability of individual events.

There are 4 queens in a pack of 52 cards. So, probability of drawing a queen= 4/52=1/13

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2 years ago

Read 2 more answers

A company is designing a new cylindrical water bottle. The volume of the bottle will be 235 cm³. The height of the water bottle

Free_Kalibri [48]

Answer:

The radius of the cylinder is 2.92 cm

Explanation:

Given:

Volume of cylinder, V = 193 cm³

Height of the cylinder, h = 7.2 cm

Radius of the cylinder, r = ?

We know:

Volume of cylinder = πr²h

On substituting the value we get:

193 = 3.14 X r^2 X 7.2\\\\r^2 = 8.54\\\\r = 2.92 cm

Therefore, the radius of the cylinder is 2.92 cm

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2 years ago

a motorboat takes 5 hours to travel 150 Miles going Upstream. the return trip takes 3 hours going Downstream .what is the rate o

lord [1]

Answer:

Speed of boat in still water = 40 mph

Rate of current = 10 mph

Step-by-step explanation:

Let the speed of boat in still water be x & let the speed of the stream be y.

Total Distance = 150 miles

Time taken to travel during upstream = 5 hrs

Speed of the boat during upstream = $\frac{150}{5} = 30\:mph$

Speed of boat during upstream can be represented as $x - y = 30$ because the boat is moving in the opposite direction of flow of stream.

Time taken to travel during downstream = 3 hrs

Speed of boat during downstream = $\frac{150}{3} = 50\:mph$

Speed of boat during downstream can be represented as $x+y=50$ because the boat is moving in the same direction of flow of stream.

We got a pair of linear eqns. Let $x-y=30$ be eqn.1 and $x+y=50$ be eqn.2 . Using substitution method ,

From eqn.1 , $x-y=30$

$=> x = y + 30$

Putting 'x' in eqn.2 , $x + y = 50$

$=> y + 30 + y = 50$

$=> y + y = 50-30$

$=> 2y = 20$

$=> y = \frac{20}{2} = 10\: mph$

Putting y in eqn.1 ,

$x - 10 = 30$

$=> x = 30 + 10 = 40 \:mph$

Hence , the speed of boat in still water is 40 mph and speed of stream is 10 mph

4 0

2 years ago

Can anybody help me and explain how to calculate it?​

Can anybody help me and explain how to calculate it?