Answer:
ST/XY
Step-by-step explanation:
(RT/RX)/(RS/RY)= ST/XY
if the shapes are equal and the same then the ratio are equal
if RT is corresponds to RX and RS is corresponds to RY then TS corresponds to TS
Answer:
62.8319 ≈ 62.8 inches
Step-by-step explanation:
Answer:
C. Rectangle ABCD was dilated with center (0, 0) and a scale factor of 1/2 followed by a translation right 3.5 units and down 8 units.
Step-by-step explanation:
See figure for intermediate steps.
Answer:
7 feet
Step-by-step explanation:
Pythagorean theorem
sqrt(4.5^2 + 5.3^2) = hypotenuse
sqrt(48.34) = hypotenuse
6.95269732 = hypotenuse
round to nearest tenth
7 feet = the length of the hypotenuse
Answer:
The number of expected people at the concert is 8,500 people
Step-by-step explanation:
In this question, we are asked to determine the expected number of people that will attend a concert if we are given the probabilities that it will rain and it will not rain.
We proceed as follows;
The probability that it will rain is 30% or 0:3
The probability that it will not rain would be 1 -0.3 = 0.7
Now, we proceed to calculate the number of people that will attend by multiplying the probabilities by the expected number of people when it rains and when it does not rain.
Mathematically this is;
Number of expected guests = (probability of not raining * number of expected guests when it does not rain) + (probability of raining * number of expected guests when it rains)
Let’s plug values;
Number of expected guests = (0.3 * 5,000) + (0.7 * 10,000) = 1,500 + 7,000 = 8,500 people
