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3 years ago

Ion 1(Multiple Choice Worth 2 points)

Mathematics

1 answer:

Alexxandr [17]3 years ago

4 0

Answer:

105.19.

Step-by-step explanation:

Area = 1/2 ac sin B

= 1/2 * 10 * 22 * sin 107

= 105.19..

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How many integers less than 50 have exactly 2 distinct prime factors?

Vedmedyk [2.9K]

1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47

So 16 integers.

6 0

3 years ago

Please help me!

sweet-ann [11.9K]

Answer:

bueh

Step-by-step explanation:

3 0

3 years ago

Roselyn is a college student with two part-time jobs. She works a few hours a day at the college laboratory, which pays her at a

VladimirAG [237]

Answer:

15 hours.

Step-by-step explanation:

We first need to see how much money Rose would earn if she sold the 10 pendents, so we will multiply 4×10.

4×10=40

Now we know, she already has 40 dollars of the 160 dollars she needs.

To find out how much she needs left, we will subtract 40 from 160.

160-40=120

She needs a total of 120 more dollars from working.

To find out how many hours she needs to work, we will divide 120 by 8.

120÷8=15.

In conclusion, she needs to work for at least15 hours to receive enough money.Please help me by marking this brainliest, and giving a thanks!

8 0

3 years ago

Roberto rowed 20 miles downstream in 2.5 hours. The trip back, however, took him 5 hours. Find the rate that Roberto rows in sti

almond37 [142]

Answer:

<em>Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour</em>

Step-by-step explanation:

<u>Relative Speed</u>

When a body is moving at a constant speed v, the distance traveled in a time t is:

$d=v.t$

When Roberto rows downstream, his speed in still water is added to the speed of the water, making it easier to travel the required distance.

When Roberto rows upstream, his speed in still water is affected by the speed of the water, both are subtracted and the required distance is covered in more time.

Let's call

x = Roberto's rowing speed in still water

y = Speed of the river current

The speed when rowing downstream is x+y, thus the distance traveled is

$d=(x+y).t_1$

Where t1=2.5 hours. Substituting values:

$20=(x+y)*2.5$

Rearranging, we find the downstream equation:

$2.5x+2.5y=20\qquad[1]$

The speed when rowing upstream is x-y, and the distance traveled is

$d=(x-y).t_2$

Where t2=5 hours. Substituting values:

$20=(x-y)*5$

Rearranging, we find the upstream equation:

$5x-5y=20\qquad[2]$

Multiplying [1] by 2:

$5x+5y=40$

Adding this equation to [2]:

$10x=60$

Solving:

$x=60/10=6$

Dividing [2] by 5:

$x-y=4$

Solving for y

$y=x-4=6-4=2$

Thus, Roberto's speed in still water is 6 miles/hour and the river speed is 2 miles/hour

3 0

3 years ago

A study shows that 20% of college students pray daily in their own religious beliefs. In a group of 300 college students, find t

svetlana [45]

Answer:

0.2805

Step-by-step explanation:

Given that p = 20% = 0.2, n = 300.

The mean (μ) = np = 0.2 * 300 = 60

The standard deviation (σ) = $\sqrt{np(1-p)}=\sqrt{300*0.2(1-0.2)}=6.93$

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma }$

For x = 57:

$z=\frac{57-60}{6.93 } =-0.43$

For x = 62:

$z=\frac{62-60}{6.93 } =0.29$

From the normal distribution table, P(57 < x < 62) = P(-0.43 < z < 0.29) = P(z < 0.29) - P(z < -0.43) = 0.6141 - 0.3336 = 0.2805

5 0

3 years ago