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expeople1 [14]
2 years ago
6

Diane has a hospital appointment. When she arrives at the hospital, the car park is nearly full. There are a total of 534 car pa

rking spaces but 476 are already occupied. How many spaces are available to park in?
Mathematics
1 answer:
nevsk [136]2 years ago
6 0
Hiii

all you do is subtract...
534-476=58

58 spots are left.
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The height h of the equilateral triangle below is given by y= 5 cot theta where theta = 30 degrees
brilliants [131]
To solve this we can take two different approaches:

1. We can substitute theta by 30° and evaluate our expression using a calculator: 
y=5cot( \alpha )
y=5cot(30)
y=8.7

2. We can use the unitary circle and the fact that cot \alpha = \frac{cos( \alpha }{sin( \alpha )}, so we can rewrite our expression as follows:
y=5cot( \alpha )
y=5 \frac{cos( \alpha )}{sin( \alpha )}
y= \frac{cos(30)}{sin(30)}
From our unitary circle we can check that cos(30)= \frac{ \sqrt{3} }{2} and sin(30)= \frac{1}{2}. 
Lets replace those values in our expression and simplify:
y= \frac{ 5(\frac{ \sqrt{3} }{2})}{ \frac{1}{2} }
y=5 \sqrt{3}
y=8.7

Either way we can conclude that the correct answer is: D)8.7

6 0
2 years ago
Amy, Rick, and Nisha are investing in three different types of stocks. What type of stock is each person Investing in?
GenaCL600 [577]

Answer: Amy = domestic stock

Rick = Employer stock

Nisha = International stock

Step-by-step explanation:

Amy invests in shares that won't be affected by exchange rate fluctuations. This shows that the stock that Amy invested in is a domestic stock. These are the stocks that are usually sold by companies in the home country.

As a part of Rick's full-time benefits package, he can invest in compally stock. This shows that Rick invested in the employer stock.

Nisha needs to research the political situation in a specific country before she purchases stock. Nisha invested in an international stock.

4 0
1 year ago
Choose any positive integer. Powers of two here are not very interesting, so choose something else. If the number you have chose
Yakvenalex [24]

Answer:

Step-by-step explanation:

Let the integer be 6 for even and 7 for odd (say)

For 6, we divide by 2, now get 3.  Now we multiply by 3 and add 1 to get 10. Now since 10 is even divide by 5, now multiply by 3 and add 1 to get 16.  Now divide by 2 again by 2 again by 2 again by 2 till we get rid of even numbers.

The result is 1, so multiply by 3 and add 1 we get 4 now divide 2 times by 2 to get 1, thus this result now again repeats after 2 times.

Say if we select off number 3, multiply by 3 and add 1 to get 10 now divide by 5, now repeat the same process as above for 5 until we get 1 and it gets repeated every third time.

Thus whether odd or even after some processes, we get 1 and the process again and again returns to 1.

5 0
2 years ago
Given a real number x and a positive integer k, determine the number of multiplications used to find x2k starting with x and suc
Alex

Answer: It is a more efficient way to find x2k than by multiplying x by itself the appropriate number of times.

Step-by-step explanation: Please find the attached file for the solution

8 0
2 years ago
serena is making a large meatloaf that contains ground beef and ground pork. the beef is $3.50 per pound and the pork is $2.00 p
kvasek [131]

Answer:


Step-by-step explanation:

3.50*2= 7 dollars $2.00 *4.125=8.25     8.25+7=15.25

8 0
2 years ago
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