Total number of possible results of rolling 2 dice = 6 x 6 = 36
Total number of ways they can both show the same face = 6
Probability of showing the same face = 6/36 = <u>1/6</u> = 16 and 2/3 percent.
Answer:
m=2
Step-by-step explanation:
42=8m+13m
or,42=21m
or,42/21=m
or,m=2
This is the required answer for m.
To check,
42=8×2+13×2
42=16+26
42=42
Correct
Answer:
Percentage Profit is 63.63%
Step-by-step explanation:
The man buys 440 eggs at 55 pence a score
i.e. he buys 20 eggs for 55 pence
He buys 1 egg for 55/20 = 2.75 pence
Therefore, he buys 440 eggs for = 440 × 2.75 = 1210 pence
10% eggs are unsaleable
thus he sold = 440 - 440 × 10/100 = 440 - 44 = 396 eggs
Eggs sold in dozen = 396/12 = 33
He sold 1 dozen for = 60 pence
Thus, he sold 33 dozen for = 33 × 60 = 1980 pence
Profit = 1980 - 1210 = 770 pence
% Profit = (770/1210) × 100 = 63.63%
(hope this helps can i plz have brainlist :D hehe)
9514 1404 393
Answer:
FH = 16
Step-by-step explanation:
ΔGHE is a 5-12-13 triangle.
ΔEHF is a 3-4-5 triangle with a scale factor of 4, so side FH is 4·4 = 16 units.
_____
(3, 4, 5), (5, 12, 13), (7, 24, 25), (8, 15, 17) are all commonly used Pythagorean triples. The first two on the list are used in these triangles.
If you like, you can work out the numbers using the Pythagorean theorem, which tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides.
For ΔEHG, that is ...
GE² = EH² + HG²
13² = EH² + 5²
EH² = 13² -5² = 169 -25 = 144
And for ΔEHF, ...
FE² = EH² +HF²
20² = 144 + HF²
400 -144 = HF² = 256
HF = √256 = 16
The length of side FH is 16 units.