Answer:
52 inches by 29 inches
Step-by-step explanation:
Let one side by 16x and the other side be 9x
We know the diameter is 60 inches
Using the Pythagorean theorem
a^2 + b^2 = c^2
(16x) ^2 + ( 9x) ^2 = 60 ^2
256 x^2 + 81x^2 = 3600
Combine like terms
337 x^2 = 3600
Divide each side by 337
337x^2 /337 = 3600/337
x^2 =10.68249258
Take the square root of each side
sqrt(x^2) =sqrt(10.68249258)
x =3.268408264
The sides are 16x by 9x
16*(3.268408264) =52.29453223 or 52
9 *(3.268408264)= 29.41567438 or 29
Answer: Our required probability would be 0.35.
Step-by-step explanation:
Since we have given that
Number of boxes = 2
Number of purple marbles in Box A = 30
Number of yellow marbles in Box A = 20
Number of purple marbles in Box B = 15
Number of yellow marbles in Box B = 35
So, If Melanie randomly selects one of the boxes and then randomly selects one marble from that box.
Probability that the marble selected will be purple is given by
Hence, our required probability would be 0.35.
Answer:
t = 0
Step-by-step explanation:
(7t - 2) - (-3t + 1) = -3(1 - 3t)
because you can not do anything inside the parantheses, you distribute. there aren't any numbers on the left side of the parantheses on the left side of the equation so we just imagine the number 1. on the right side of the equation, just distribute normally
[ 1(7t - 2) -1(-3t + 1) = -3(1 - 3t) ]
will be
7t - 2 + 3t - 1 = -3 + 9t
add like terms
10t - 3 = -3 + 9t
subtract 9t from both sides
t - 3 = -3
add 3 to both sides
t = 0
