Answer:
B. y-1=3(x-5)
Step-by-step explanation:
y=_+_(x-_)
y=1+(-3)(x-5)
y-1=3(x-5)
336......?? find the area of cross section and than multiply with the lenght
Answer:
P( At least one of the two cards was a heart)=7/16
Step-by-step explanation:
The solution to this question can be found in two ways.
First way: Since total number of heart in a deck are four,
Probability that neither of two cards had a heart is that at both times the card drawn was not a heart, since it is an independent event, thus probability both were not heart= 
×
=
Thus, Probability that at least one of the two cards was a heart= 1- P( Neither of two cards had a heart= 1-
=
Second way:
Probability that first card drawn is a heart and the second one is not a heart= 
×
=
Probability that the first card drawn is not a heart and the second one is a heart= ×
=
Probability that both cards drawn are hearts= ×
=
Adding all these probabilities, we have the probability that at least one of the card drawn was heart=
9514 1404 393
Answer:
(c) A = 38.13 square inches; P = 23.42 inches
Step-by-step explanation:
The radius of the circle is half the diameter, so is 3 inches. This means the entire figure will fit in a rectangle 6 inches wide and 4+3 = 7 inches high. The perimeter of such a rectangle is ...
P = 2(L+W) = 2(7+6) = 26 inches
The area of that rectangle is ...
A = LW = (7)(6) = 42 square inches
Then area of the given figure is less than 42 square inches, and the perimeter is less than 26 inches. The only answer choice that matches these bounds is ...
A = 38.13 square inches; P = 23.42 inches
Answer:
No. Se below for explanation
Step-by-step explanation:
If it is a right triangle it sides must meet the Pitgoras Theorem, wich says that the legs squared when summed must be equal to the square of the hypotenuse. Here the legs would be the sides of length 10 and 18, as the hypotenuse is always the longest. So we need to see:
10^ 2 + 18^2 = x
if x is equal to 21^2, so we can have a right triangle, if not, we cannot.
10^ 2 + 18^2 = 100 + 324
10^ 2 + 18^2 = 424
But:
21^2 = 441
So, as 10^2 + 18^2 < 21^2 this can not be a right triangle.
