explanation:
the hypotenuse is 15 cm with the opposite side being h cm.
The angle is 31°
Thus, using trigonometric ratio, we have;
h/15 = sin 31
h = 15 sin 31
h = 15 × 0.5150
h = 7.725
Approximating to 1 decimal place gives;
h = 7.7 cm
32.697 rounded to the nearest tenth is 32.700
32.697 rounded to the nearest hundred is 32.700
32.697 rounded to the nearest ones is 32.698
Answer:
2x^3 + 2x^2 - x - 10
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x) = x^3 + x^3 + 2x^2 - x - 10
Combine like terms.
f(x) + g(x) = 2x^3 + 2x^2 - x - 10
Since we made it clear that f(x) + g(x) = (f + g)(x)...
(f + g)(x) = 2x^3 + 2x^2 - x - 10
Answer:
a. 1/13
b. 1/52
c. 2/13
d. 1/2
e. 15/26
f. 17/52
g. 1/2
Step-by-step explanation:
a. In a deck of cards, there are 4 suits and each of them has a 7. Therefore, the probability of drawing a 7 is:
P(7) = 4/52 = 1/13
b. There is only one 6 of clubs, therefore, the probability of drawing a 6 of clubs is:
P(6 of clubs) = 1/52
c. There 4 fives (one for each suit) and 4 queens in a deck of cards. Therefore, the probability of drawing a five or a queen is:
P(5 or Q) = P(5) + P(Q)
= 4/52 + 4/52
= 1/13 + 1/13
P(5 or Q) = 2/13
d. There are 2 suits that are black. Each suit has 13 cards. Therefore, there are 26 black cards. The probability of drawing a black card is:
P(B) = 26/52 = 1/2
e. There are 2 suits that are red. Each suit has 13 cards. Therefore, there are 26 red cards. There are 4 jacks. Therefore:
P(R or J) = P(R) + P(J)
= 26/52 + 4/52
= 30/52
P(R or J) = 15/26
f. There are 13 cards in clubs suit and there are 4 aces, therefore:
P(C or A) = P(C) + P(A)
= 13/52 + 4/52
P(C or A) = 17/52
g. There are 13 cards in the diamonds suit and there are 13 in the spades suit, therefore:
P(D or S) = P(D) + P(S)
= 13/52 + 13/52
= 26/52
P(D or S) = 1/2
This means that...
the first worker does 1/8 of the job each hour.
the second worker does 1/4 of the job each hour.
the third worker does 1/4 of the job each hour.
So together they get 1/8+1/4+1/4 of the job done per hour.
Rate: 5/8 of the job per hour
Now if we know the rate, the job will be finished in...
1/(5/8) hours ----> 1.6 hours or 1 hour and 36 minutes
answer: 1.6 hours or 1 hour and 36 minutes