Pythagorean theorem:
a^2+b^2=c^2 (C^2 always is the hypotenuse)
21^2+b^2=29^2
441+b^2=841
841-441=400
square root of 400 is 20
Your answer is 20
Answer:
45 student tickets and 30 adult tickets
Step-by-step explanation:
You can check your work by plugging both answers into both of the original equations. :)
Answer: P = 0.125 = 1/8
Step-by-step explanation:
We know that he has a blue coat and a black coat.
If he dresses at random, then the probability of getting the blue coat is equal to the quotient between the number of blue coats (1) and the total number of coats (2).
Then the probability is:
p = 1/2
We also know that he has blue pants and brown pants, the probability of getting at random the blue pants is calculated in the same way than above, then:
q = 1/2
And for the shirt he has a blue shirt and a red one, the probability of randomly selecting the blue one is calculated in the same way than above, then:
k = 1/2
Now, the joint probability (he selects all blue clothes) is equal to the product of the individual probabilities:
P = p*q*k = (1/2)*(1/2)*(1/2) = 1/8 = 0.125
Divide 6 by


÷

Change

to a reciprocal

×

=
Simplify and your answer is 8
Answer:
-4u+2v = <-6, 34>
Step-by-step explanation:
u = <4, -7) → -4u = <-16, 28>
v = <5, 3> → 2v = <10, 6>
-4u+2v = <-16, 28> + <10, 6> = <-6, 34>