Answer:
9
Step-by-step explanation:
total is 30
spent is $9
this is total money minus the amount of the picture frame
30-9
21 divide by 3
the total sum of journals bought was 9
Answer : Probability that the pumping system will fail on any given day = 0.005
Explanation:
Probability that only older pump fail = P(A) = 0.10
Probability that only newer pump fail = P(B) = 0.05
Since they are independent events ,
then the conditions will be
P(A∩B) = P(A). P(B)
= 0.10 ×0.05
= 0.005
Hence, the probability will fail on any given day = 0.005
Answer:
A) 6.32 in.
B) 71.56°
C) 36.88°
Step-by-step explanation:
To solve each part of the problem, let's pay attention to the triangle ABC shown in the figure.
A) The slant height (l) of the cone is the hypotenuse of the right triangle ABC, then, to calculate it you can apply the Pythagorean Theorem:

B) The angle asked is the angle ∠A, then, you have:

∠
°
C) The angle formed between the segments (which you can call α) that represent the slant heights is twice the angle ∠C.
By definition, the sum of the interior angles of a triangle is 180°,so you can calculate the angle ∠C as following:
∠
Then:

°