Answer:
B. 
Step-by-step explanation:
I show an example in the picture below. If you know how to solve with Pythagorean theorem this problem should be fairly easy. All you have to do is make 2 triangles and solve for C. Once you solve for C for both triangles you should get 20 for one answer and 15 for the other answer. Then all you do is just add them together so your answer should be 35 feet.
Answer:
2/27
Explanation:
The two events, drawing a blue marble out of each bag, are independent. This means to find the probability of both occurring, we multiply them.
In the first bag, there are 5 blue marbles out of 15 total. This makes the probability 5/15, or 1/3.
In the second bag, there are 2 blue marbles out of 9 total. This makes the probability 2/9.
Together, the probability of both events happening are:
1/3(2/9) = 2/27
Answer:
x = 7.99 cm
Step-by-step explanation:
By applying cosine rule in the given triangle,
AC² = AB² + BC² - 2(AB)(AC)cosC
Substitute the measures of the sides and the angle in this formula,
x² = 6² + 10² - 2(6)(10)cos(53°)
x² = 36 + 100 - 72.217
x² = 63.782
x = √(63.782)
x = 7.99 cm
Answer:
<em>y = 8</em>
Step-by-step explanation:
330x + 1220y = 12730 (cost of coach tickets plus cost of first class tickets is total budget)
x + y = 17 (number of coach tickets plus number of first class tickets is total number of people)
Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:
330x + 1220(17 - x) = 12730
330x + 20740 - 1220x = 12730
-890x + 20740 = 12730
-890x = -8010
x = 9
Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:
9 + y = 17
y = 8
Sarah bought y = 8 first class tickets.
