Answer:
x = 25.
Step-by-step explanation:
Since the longer side of the smallest triangle bisects the largest triangle's right angle, all three triangles shown are similar.
As seen in the diagram, the smaller triangle's hypotenuse (15) corresponds to the the largest triangle's hypotenuse (x), and the smaller triangle's shorter side length (9) corresponds to the largest triangle's shorter side length (15). So, we can set up a proportion...
9 * x = 15 * 15
9x = 225
x = 225/9
x = 25
Hope this helps!
Answer:
Sabrina bought 6 yellow bananas and 3 green bananas
Step-by-step explanation:
Let
Green bananas = x
Yellow bananas = y
Green bananas = $14.00
Yellow bananas = $12.00
Total cost = $114.00
x + y = 9 (1)
14x + 12y = 114 (2)
From (1)
x = 9 - y
Substitute x = 9 - y into (2)
14(9 - y) + 12y = 114
126 - 14y + 12y = 114
- 14y + 12y = 114 - 126
-2y = -12
Divide both sides by -2
y = -12 / -2
= 6
y = 6
Substitute y = 6 into (1)
x + y = 9
x + 6 = 9
x = 9 - 6
= 3
x = 3
Sabrina bought 6 yellow bananas and 3 green bananas
Answer:
<h2>A. 1/3</h2>
Step-by-step explanation:
Answer:
P(A) = 0.49
Step-by-step explanation:
Given:
A and B are mutually exclusive events.
P(B) = 0.03
P(A or B) = 0.52
If two events A and B are mutually exclusive events, then there are no elements common in both the events. So, the probability of their intersection is 0.
Now, as per probability addition theorem:
P(A or B) = P(A) + P(B) + P(A and B)
For mutually exclusive events, P(A and B) = 0. So,
P(A or B) = P(A) + P(B) + 0
P(A or B) = P(A) + P(B)
Plug in the given values and solve for P(A). This gives,
0.52 = P(A) + 0.03
P(A) = 0.52 - 0.03
P(A) = 0.49
Therefore, the probability of occurrence of event A is P(A) = 0.49.
Answer:
168.5 m/s^2
Step-by-step explanation:
