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VLD [36.1K]
2 years ago
10

Ron is a basketball coach. The table shows the height in inches of the players Ron coaches

Mathematics
1 answer:
n200080 [17]2 years ago
7 0
Range from 68 inches to 76 inches
Tallest player is 76 inches
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If cos(t) = 2/7 and t is in the 4th quadrant, find sin(t).
Yuliya22 [10]
We can use the Pythagorean Trigonometric Identity which says:
sin^2(t)+cos^2(t)=1

Since we need to find sin(t), we have to solve for it:
sin(t)= \sqrt{1-cos^2(t)}

Let's plug in the given cos(t) value:
sin(t) = \sqrt{1-cos^2( \frac{2}{7})}

And solve sin(t):
sin(t) = \sqrt{1- \frac{4}{49} } = \frac{x}{y} \sqrt{ \frac{49}{49}- \frac{4}{49} }

Simplify further:
sin(t) = \sqrt{ \frac{45}{49} } = \frac{ \sqrt{45} }{7} = \frac{ \sqrt{9*5} }{7}

And it all simplifies down to:
sin(t) = \frac{3 \sqrt{5} }{7}

Since it's in the 4th quadrant, the sin(t) value is going to be negative. So, your final answer is: 
sin(t) = - \frac{ 3\sqrt{5} }{7}

Hope this helps!
7 0
2 years ago
Which situation could be represented by the graph?
Y_Kistochka [10]

Answer:

A program at a community college can be completed in no fewer than 8 months, but must be completed in less than 11 months.

Step-by-step explanation:

1. The closed dot means the number is equal to and the open dot means the number is less/ greater than

2. The line goes right from the 8 with a closed dot, making x greater than or equal to 8

3. The line goes left from the 11 with an open dot, making x less than ll

4. This means the number must be equal to or greater than 8, and less than 11

9 0
2 years ago
Read 2 more answers
Brian irons \dfrac29 9 2 ​ start fraction, 2, divided by, 9, end fraction of his shirt in 3\dfrac353 5 3 ​ 3, start fraction, 3,
Artyom0805 [142]
For this case we can make the following rule of three:
 2/9 ------> 3/5
 x ---------> 1
 Clearing x we have:
 x = (1 / (3/5)) * (2/9)
 Rewriting we have:
 x = (5/3) * (2/9)
 x = 10/27
 Answer:
 
he irons 10/27 of his shirt every minute
5 0
1 year ago
Read 2 more answers
Daisy works at an ice-cream parlor. She is paid $10 per hour for the first 8 hours she works in a day. For every extra hour she
andre [41]

Answer:

80+(15x)

Step-by-step explanation:

10 times 8=80

1.5 times 10=15

so she gets 80 dollars for the first 8 hours then for every extra hour she gets 15 dollars

7 0
2 years ago
5. the price of an ipod dropped from $299.99 to $180.55. what was the percent decrease in price? (round to nearest hundredth per
max2010maxim [7]
If you would like to know what was the percent decrease in price, you can calculate this using the following steps:

x% of $299.99 is $180.55
x% * 299.99 = 180.55
x/100 * 299.99 = 180.55
x = 180.55 * 100 / 299.99
x = 60.19%

100% - 60.19% = 39.81%

The correct result would be 39.81%.
3 0
2 years ago
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