Answer:
1/2 or 0.5
Step-by-step explanation:
since 7 out of 14 shirts sold were green, the probability would be 7/14. but since you need to simplify, it will be 1/2 or 0.5
We already know that the box has an area of 100 sq. inches. All we have to do now is subtract the area of the 4 circles from the area of the box.
The formula for a circle's area is
. We already know the radius, so one circle has an area of 12.56 units (4π in terms of pi). There are 4 circles, making your final equation
.

Answer:
The required specific heat is 196.94 joule per kg per °C
Step-by-step explanation:
Given as :
The heat generated = Q = 85.87 J
Mass of substance (m)= 34.8 gram = 0.0348 kg
Change in temperature = T2 - T1 = 34.29°C - 21.76°C = 12.53°C
Let the specific heat = S
Now we know that
Heat = Mass × specific heat × change in temperature
Or, Q = msΔt
Or, 85.87 = (0.0348 kg ) × S × 12.53°C
Or , 85.87 = 0.4360 × S
Or, S = 
∴ S = 196.94 joule per kg per °C
Hence the required specific heat is 196.94 joule per kg per °C Answer
The side lengths of the mirrors are 1.5 ft and 2.5 ft respectively.
<u><em>Explanation</em></u>
Given that, the area of smaller mirror is 2.25 ft² and the area of larger mirror is 6.25 ft²
<u>Formula for the area of a square</u> :
, where
is the side of the square.
Lets assume, the side length of smaller mirror is
ft and the side length of larger mirror is
ft.
So....

and

Thus, the side length of smaller mirror is 1.5 ft and side length of larger mirror is 2.5 ft.
Answer:
27. 3
28. 2a
29. y²
30. 280yz
31. 1
32. 1/3
Step-by-step explanation:
One way to think about a coefficient is this: Set the value of the variable of interest to 1 and evaluate the expression. The value of the expression is the coefficient of the variable of interest.
Here, you're only interested in the variable x, so its coefficient is everything that is not x. The coefficients are ...
27. 3
28. 2a
29. y²
30. 280yz
31. 1 . . . . . a lot of students get tripped up by this one. Setting x=1 makes it obvious.
32. 1/3
_____
Sometimes you're asked for the coefficient in a <em>term</em>. In the case of the term 280xyz, the appropriate answer to that question is 280, <em>the constant that multiplies all the variables</em>. When no constant is showing, the coefficient is 1, as in question 31.