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Ipatiy [6.2K]
3 years ago
15

What is the area of the shaded sector? 32 85 96 256

Mathematics
1 answer:
Crazy boy [7]3 years ago
7 0

Answer: The measure of central angle XYZ is 3pi/4 radians.

The answer is 96.

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David rides his bike 4 miles in 15 minutes. What is his average speed in miles per hour
Sergeu [11.5K]
The answer is .26 miles
5 0
3 years ago
cynthia invests some money in a bank which pays 5% compound interest per year. She wants it to be worth over £8000 at the end of
exis [7]

Answer:

The smallest amount is \£6,911

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=3\ years\\ A=\£8,000\\ r=5\%=5/100=0.05\\n=1  

substitute in the formula above

8,000=P(1+\frac{0.05}{1})^{1*3}  

solve for P

8,000=P(1.05)^{3}  

P=8,000/(1.05)^{3}  

P=\£6,910.70  

Round to the nearest pound she can invest

The smallest amount is \£6,911

6 0
3 years ago
Please someone help me and explain this question to me (the last question starting with a straw)
Anastasy [175]

Each straw is  4-1/8 inches long.
You have one gigantic piece of straw material, 123-3/4 inches long.
How many straws can you cut it up to make ?

 ===>                    (123-3/4)  divided by  (4-1/8)            straws.

Each one costs  $0.015  to make.
So, once you find the number of short straws you have,
multiply

===>                 (the number of short straws) x ($0.015) .

That'll tell you how much it costs to make all of them. 


Now you know how to do it on your own.
If you don't get  30 straws  and  $0.45 , please try again.
6 0
3 years ago
In a test gender selection technique results consisted of 250 baby girls and 234 boys. Based on this result what is the probabil
Assoli18 [71]

Answer: 125/242

Step-by-step explanation: Probability is favorable outcomes over all outcome, since there were 250+234 total outcome, and 250 were favorable (girls), then the probability is 250/250+234=250/484=125/242

8 0
3 years ago
Henry and his family are eating at a rotating restaurant at the top of a tower. The restaurant rotates clockwise 90° every 15 mi
frutty [35]

Answer:

The table of Henry's family will be at (4, -4)

Step-by-step explanation:

The problem states that the initial coordinates of Henry's family is at the coordinates (-4, 4). Each 15 minutes the restaurant will rotate 90° every 15 minutes. If we follow the Cartesian plane and the center of the restaurant being at (0, 0) we know that the table will be situated at the (4, 4) coordinates of the restaurant after the first rotation. After the 30 minute mark, the restaurant rotates one more time and moves the table of Henry's family at the (4, -4) coordinates of the restaurant as the center of the restaurant will never move.

4 0
3 years ago
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