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➷ As the two lengths are a, this means it is an isosceles triangle.
The two unknown angles would be equal so we can calculate them:
(angles in a triangle equal 180 degrees)
(180 - 90) / 2 = 45
Now we can use the sine rule to calculate the length a
(6 / sin(90)) x sin(45) = a
a = 4.242640687
To one decimal place, your answer would be:
a = 4.2mm
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Answer:
19-8x
Step-by-step explanation:
8 + 5 x 3 - 2 x 2 - 8x
Calculate
5 + 15 - 4 - 8x
19 - 8x
Step-by-step explanation:
The answer is dhdt=325πmmin.
With related rates, we need a function to relate the 2 variables, in this case it is clearly volume and height. The formula is:
V=πr2h
There is radius in the formula, but in this problem, radius is constant so it is not a variable. We can substitute the value in:
V=π(5m)2h
Since the rate in this problem is time related, we need to implicitly differentiate wrt (with respect to) time:
dVdt=(25m2)πdhdt
In the problem, we are given 3m3min which is dVdt. So we substitute this in:
dhdt=3m3min(25m2)π=325πmmin
Answer:
The answer is 1, 3, and 5
Step-by-step explanation:
First, you have to solve the equation, making the mixed number fractions into improper fractions. You then get 7/3 x 3/14. You can cross cancel, and thus the equation on the top is equal to 1/2.
Solve the rest of them, the same way you did in the first, and you would get 1, 3, and 5.
Quadrant I is the answer. Both are positive coordinates