Answer:
Option A is the correct answer.
Explanation:
The given pyramid has 3 lateral triangular side as shown below.
Base of triangle = 12 unit
We need to find perpendicular.
By Pythagoras theorem we have
Perpendicular² = 10²-6²
Perpendicular = 8 unit
So area of 1 lateral triangle = 1/2 x Base x Perpendicular.
= 1/2 x 12 x 8 = 48 unit²
Area of lateral side = 3 x 48 = 144 unit²
Option A is the correct answer.
Answer:
You will pay $18 for a item with original price of $90 when discounted 80%. In this example, if you buy an item at $90 with 80% discount, you will pay 90 - 72 = 18 dollars.
Step-by-step explanation:
Answer:
a. P(A) = P(B)
c. P(A) = 1 - P(B)
a and c are true . The rest are false.
Step-by-step explanation:
Two events A and B are said to be <u>equally likely </u> when one event is as likely to occur as the other. In other words each event should occur in equal number in repeated trials. For example when a fair coin is tossed the head is likely to appear as the tail, and the proportion of times each side is expected to appear is 1/2.
So when the events A= {1,3,4} B = {2,4,5} are equally likely then suppose their probability is 1/2.
a. P(A) = P(B) <u>True</u>
1/2= 1/2
b. P(A) = 2P(B) <u>False</u>
<u>1/2 is not equal to 1</u>
c. P(A) = 1 - P(B) <u> True</u>
1/2= 1-1/2= 1/2
d. P(A) + P(B) > 1 False
1/2 + 1/2 is not greater than 1
e. P(A) - P(B) < 0 False
1/2-1/2= 0 is not less than 0
f. P(A) - P(B) > 1 False
1/2-1/2= 0 is not greater than 1
Answer:
48
Step-by-step explanation:
A - B - C - - - D
12 + 12 + 24 = 48
Segment B is midpoint between AC therefore the length between AB is equal to the length between BC. C is midpoint of of AD therefore the length between AB + BC is equal to the length between CD. IF AB is 12 then AB is 12. AC will be 24. Since CD is equal to AD, CD must also be 24. AD is distance AC plus CD = 48.
Answer:
x = 20
Step-by-step explanation:
I don't see a y in the diagram.
The 3 angles x, 90 and (4x - 10) lie on the line EF and sum to 180°, so
x + 90 + 4x - 10 = 180, that is
5x + 80 = 180 ( subtract 80 from both sides )
5x = 100 ( divide both sides by 5 )
x = 20
