Answer:
should be 1213
Step-by-step explanation:
27×27=728
22×22=485
729+485= 1213
Answer:
Number of tadpoles Chris has = 3
Number of tadpoles David has = 6
Number of tadpoles George has = 12
Step-by-step explanation:
Given: Total number of tadpoles divided among 3 friends = 21
Number of tadpoles Mark gave to Chris = A
Number of tadpoles Mark gave to David = B = 2A
Number of tadpoles Mark gave to George = C = 2B = 2(2A) = 4A
∴ Total number of tadpoles = A + B + C
⇒ 21 = A + 2A + 4A
⇒ 21 = 7A
⇒ A = 21 ÷ 7 = 3
∴ Number of tadpoles Chris has = A = 3
Number of tadpoles David has = B = 2A = 2(3) = 6
Number of tadpoles George has = C = 2B = 2(2A) = 4A = 4(3) = 12
Answer:
90.2
Step-by-step explanation:
thx for the follow!!!
Answer:
63/80 and 7/4 * 9/20
Step-by-step explanation:
7/8 * 9/10 = 63/80
7/4 * 9/20
Answer:
√5.
Step-by-step explanation:
Tan A = 1/2 means that the right triangle containing angle A has legs of length 1 and 2 units. So the hypotenuse = √(1^2 + 2^2) = √5 (using the Pythagoras theorem). The side opposite to < A = 1 unit and the adjacent side = 2 (as tan = opposite / adjacent).
so cos A = adjacent / hypotenuse = 2/√5.
and sin A = opposite / hypotenuse = 1 / √5
cos A / sin A = 2/√5 / 1/ √5 = 2.
sin A / (1 + cos A) = 1/√5 (1 + 2/ √5)
= 1 / √5 ( (√5 + 2) /√5)
= 1 / (√5 + 2)
So the answer is:
2 + 1 /(√5 + 2).
We can simplify it further by multiplying top and bottom of the fraction by the complement of √5 + 2 which is √5 - 2.
2 + 1 / (√5 + 2)
= 2(√5 + 2) + 1 / (√5 + 2 )
= { 2(√5 + 2) + 1 } / (√5 + 2)
Multiplying this by √5 - 2 / √5 - 2 we get:
(2(5 - 4) + √5 - 2) / (5 -4)
= 2 + √5 - 2 / 1
= √5.
