Corresponding parts of similar triangles are proportional (CPSTP) is the property used here. Since the triangles are isosceles, then each non-base side is the same. The larger/left triangle has both sides of 215 meters and the smaller/right triangle has both sides of 43.
Let's make a proportion. On the tops are the sides, on the bottoms are the bases. On the left is the larger triangle, on the right is the smaller triangle. Keeping the pieces straight is what makes the proportion work.
To solve for x we can cross multiply.
215(x) = (230)(43)
215x = 9890
x = 46 after dividing both sides by 215
Thus the proportion is and the base is 46 meters.
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Answer:
78.71 mph
Step-by-step explanation:
You're looking for the solution to ...
d = 88
0.0015r^2 +r = 88
0.0015r^2 +r -88 = 0
Using the quadratic formula*, we find ...
r = (-1 +√(1² -4(0.0015)(-88)))/(2×0.0015)
r = (-1 +√1.528)/0.003 = 0.236123/0.003 = 78.7077
The speed of the car was about 78.71 mph.
_____
* The quadratic formula will also give a negative answer of about -745 mph, which is not relevant to the situation.
Answer:
0.74
Step-by-step explanation:
A <u>tree diagram</u> is a visual way of showing combinations of <u>two or more events</u>. The outcome of each branch is labelled at the end of the branch line and its probability is written alongside the branch.
To calculate the probabilities of each combination, follow the branches and <u>multiply the probabilities</u> together.
There are two possible combinations to get a final outcome of D:
- A and D = 0.6 × 0.7 = 0.42
- B and D = 0.4 × 0.8 = 0.32
Therefore, the probability of D is:
⇒ P(D) = P(A and D) <u>OR</u> P(B and D):
⇒ P(D) = 0.42 + 0.32
⇒ P(D) = 0.74
Answer:
its 1.4
Step-by-step explanation:
Answer: 5/1
Step-by-step explanation:
so their is 5 balls and 1 tee so put it into a fraction
Ratio means the quantitative between two amounts showing the number of times one value contains
