<h3>
Answer: 4/13</h3>
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Explanation:
There are A = 13 hearts and B = 4 copies of "7"
The count A+B = 13+4 = 17 may seem like it's the count of hearts or "7" cards, but we're double counting the 7 of hearts. So the true count is actually 17-1 = 16
There are 16 cards we want (either a heart or a "7") out of 52 total. Therefore, the probability is 16/52 = (4*4)/(4*13) = 4/13
6 - 8c = -10 - 10c
and you're solving for c. what you really need to do in problems like this is combine like terms: -10 and 6 are like terms, because they are numbers without variables. -8c and -10c are like terms, because they are variables with coefficients.
6 - 8c = -10 - 10c ... add 10c to both sides
6 + 2c = -10 ... subtract 6 from both sides
2c = -16 ... divide both sides by 2
c = -8 is your result.
Answer:
15 inches
Step-by-step explanation:
The longest side of the right triangular window frame is 39 inches
The height is 36 inches
Let the base of the window frame be x inches
So according to Pythagoras theorem,
x² + 36² = 39²
x² = 39² - 36² = 225
x = 
= 15 inches
The third side of the window frame is therefore equal to 15 inches.
Answer:
153.86 
Step-by-step explanation:
Formula for the area of a circle is 
where 
= 3.14 and 
is radius times radius, which in this case is 7 since radius is 1/2 diameter.
So 7 multiplied by 7 = 49 then 49 multiplied by 3.14 = 153.86
