Answer:
A diagonal of this rectangle has length 10.
Step-by-step explanation:
The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4). These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.
Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4). To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.
Thus, the width of the rectangle is 6 and the length is 8.
Using the Pythagorean Theorem, we find the length of a diagonal as follows:
d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.
A diagonal of this rectangle has length 10.
Answer:
can you give more detail to the question?
Step-by-step explanation:
6,008 is six hundred and eight thousand.
Answer:
Step-by-step explanation:
The probability of asking for the cherries flambe and dying, P(A) = 0.5 × 0.6 = 0.3
The probability of asking for the chocolate mousse and dying, P(A) = 0.4 × 0.9 = 0.36
The probability of skipping dessert altogether = 0.1 × 0 = 0
The probability that the rich uncle dies, P(D) is
P(D) = 0.3 + 0.36 + 0 = 0.66
To determine the prime suspect, we would apply the concept of conditional probability. It is the probability of an event, A occurring given that event B has occurred. We would compare probabilities of the events A and B occurring given that event D also occurred
Therefore,
P(A|D) = 0.3/0.66 = 0.45
P(B|D) = 0.36/0.66 = 0.55
Therefore, the prime suspect is Margo because his probability is higher
Answer:
The perimeter is 37
Step-by-step explanation:
there you go
