Check the picture below.
so... notice, the base, is a square, thus is called a square pyramid, is a 5x5 square, that gives us an area of 25.
but we know the total surface area is 85 though, so, if we subtract or take away the base's area of 25, 85 - 25 = 60, what's leftover is just the area of the 4 triangular faces.
now, the triangles are all equal, so they go evenly in the area of 60, therefore 60/4 is the area of one of the triangular faces, namely 15.
so, now we know the area of one of the triangles is 15, and we know its base is 5, what's the altitude of it? which incidentally is the slant-height of the pyramid.
Answer:
event A and B are independent because P(A and B) = P(A) x P(B) = 0.15
Step-by-step explanation:
When two events are independent, the probability of both occurring is the product of their separate probabilities, as expressed below;
P(A and B) = P(A) x P(B)
Given;
P(A) = 0.25
P(B) = 0.60
P(A and B) = 0.15
Now, let's check if P(A and B) will be equal to P(A) x P(B)
P(A) x P(B) = 0.25 x 0.60 = 0.15
P(A and B) = P(A) x P(B), thus event A and B are independent.
Answer:
since it takes 1 additional stick to bake a cake,then it takes 84 additional sticks to bake 42 cakes
Answer:
There are 18 dimes in the jar
Step-by-step explanation:
Let
x = number of dimes in the jar
y = number of quarters in the jar
Total = $3.80
There are ten less quarters than dimes
y = x - 10
0.1x + 0.25y = 3.80
0.1x + 0.25(x - 10) = 3.80
0.1x + 0.25x - 2.5 = 3.80
0.35x = 3.80 + 2.5
0.35x = 6.30
x = 6.30/0.35
x = 18
Answer:
Below.
Step-by-step explanation:
Area = 5(x + 3)
= 5x + 15
Perimeter = 2(x + 3) + 2(5)
= 2x + 6 + 10
= 2x + 16.