Answer:
Option "D" is the correct answer to the following question.
Step-by-step explanation:
Given:
Length of painting = 25 inch
Height of painting = 16 inch
Width of frame = w inch
Find:
Area of Picture with frame
Computation:
New length of painting = 25 + w + w
New length of painting = 25 + 2w inch
New height of painting = 16 + w + w
New height of painting = 16 + 2w
Area = l x b
So,
Area of Picture with frame = [25 + 2w][16 + 2w]
Area of Picture with frame = 400 + 50w + 32w + 4w²
Area of Picture with frame = 4w² + 82w + 400
56/125-177/625= 280/625 - 177/625 = ( 280 - 177 ) / 625 = 103 / 625 = 0.1648
Answer:
Total number of cards in a standard deck of card=52
As deck of card contain 13 club +13 heart +13 spade+13 Diamond.
P(Diamond)=13/52 =1/4
If the card is not diamond then
P(not diamond)=39/52=3/4
Since after drawing card is not replaced
P ( second Diamond)=12/51
now if second card is not Diamond.then
P(non diamond)=39/51
Chances of your winning i.e both cards are diamonds=1/4×12/51=1/17=0.0588..(approx)
chances of your friend winning=1/4×39/51=[1/4]×[13/17]=13/68=0.1911..(approx)
Your friend has got better chance to win because there are more chances that both the cards are not Diamonds.
Answer:
(B)
Step-by-step explanation:
First, we determine the height of the triangle which we label as y.
Using Pythagoras Theorem.
In the smaller right triangle with hypotenuse, x
Base = 7-3 =4 Units
Height, y= 24 Units
Therefore, applying Pythagoras Theorem.:
