Answer:
Each side is 15 ft
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
225 ft^2 = s^2
Take the square root of each side
sqrt ( 225 ft^2) = sqrt ( s^2)
15 ft = s
Each side is 15 ft
Answer: sin u = -5/13 and cos v = -15/17
Step-by-step explanation:
The nice thing about trig, a little information goes a long way. That’s because there is a lot of geometry and structure in the subject. If I have sin u = opp/hyp, then I know opp is the opposite side from u, and the hypotenuse is hyp, and the adjacent side must fit the Pythagorean equation opp^2 + adj^2 = hyp^2.
So for u: (-5)^2 + adj^2 = 13^2, so with what you gave us (Quad 3),
==> adj of u = -12 therefore cos u = -12/13
Same argument for v: adj = -15,
opp^2 + (-15)^2 = 17^2 ==> opp = -8 therefore sin v = -8/17
The cosine rule for cos (u + v) = (cos u)(cos v) - (sin u)(sin v) and now we substitute: cos (u + v) = (-12/13)(-15/17) - (-5/13)(-8/17)
I am too lazy to do the remaining arithmetic, but I think we have created a way to approach all of the similar problems.
Answer:
The gallons of gas the tank contain now is <u>35 1/12</u>.
Step-by-step explanation:
Given:
Fuel tank contains 1 3/4 gallons of gasoline.
Casey adds 33 1/3 gallons of gasoline to the tank.
Now, to find the total gallons of gas the tank contain.
Converting the mixed fractions into improper.
Gallons of gasoline in fuel tank 
.
Gallons of gasoline Casey adds 
.
<u>According to question:</u>
By adding we get the total gallons of gasoline now tank contain:
Therefore, the gallons of gas the tank contain now is 35 1/12.
45th percentile means that 45% of the data fall below that number while 55% (that is, 100-45) fall above it.
Now, arranging the number in ascending order;
$60, $85, $95, $105, $120, $145, $155, $175, $190, $215, $235, $240, $260, $285, $325
The total number of counts = 15
Then,
Index = 15*45% = 15*0.45 = 6.75
Round up,
Index = 7
The,
7th number = $155
Therefore, 45th percentile value of the data = $155
Answer:
4/5 hour . . . . 48 minutes
Step-by-step explanation:
In hours, the total time is ...
... 1/10 + 1/5 + 1/2 = 1/10 + 2/10 + 5/10
... = (1+2+5)/10 = 8/10
... = 4/5
____
You can have a calculator add these numbers for you. Most will report the result as a decimal. There are fraction calculators on-line, if your graphing calculator does not have a fraction display mode.
If you want minutes, multiply the fraction (or decimal) by 60 minutes.
