Answer:
x = 75 m
Step-by-step explanation:
This is a problem of similar triangles solved using proportions.
In similar triangles, corresponding side lengths are proportional.
Here the small and large triangles are similar because the have all three angles congruent.
By proportions, identifying corresponding sides,
x/45 = 50/30
solve for x
x = 45*(50/30) = 75 m
Answer: 80 dollars
Step-by-step explanation:
You can find a percentage with one of two ways.
For hundreds like this, oftentimes it's quicker and more simple to think of it as just 100. The proportion from 100 to 500 is just 5. 16% of 100 is 16. So, multiply 16 * 5. You would get 80.
The second method is you can use 0.16 * 500. It's the more conventional method, and you get 80, like the last method.
Answer:
The probability that the sum of the numbers rolled is either a multiple of 3 or an even number is 24/36 = 2/3
The two events are mutually exclusive
Step-by-step explanation:
we first need to create a table of the sample space from the experiment, the sum of the numbers rolled. Find the attached for a depiction of the possible outcomes.
The probability that the sum of the numbers rolled is either a multiple of 3 or an even number will be given by counting the numbers that are either even or multiples of 3 and then dividing by the number of possible outcomes, 36.
In our case this will be;
24/36 = 2/3
Answer: option d.
Step-by-step explanation:
We have the function:
y = f(x) = x^2 - 1
The output is 99 when y = 99, and the input is x.
Then we need to solve:
y = 99 = x^2 - 1
for x.
99 = x^2 - 1
99 + 1 =x^2
100 = x^2
√100 = x
10 = x
The correct option is d, input equals 10.
