Answer:
Step-by-step explanation:
step 1
In the isosceles right triangle PQT
PQ=PT ----> because is an isosceles triangle
Applying the Pythagoras Theorem
we have
substitute the values
step 2
In the square QRST
step 3
In the right triangle RSU
Applying the Pythagoras Theorem
we have
substitute the values and solve for SU
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.
Answer:
C. a=12ft, b=12ft
Step-by-step explanation:
This is a 45*-45*-90* triangle
"a" and "b" are the same
and the hypotenuse (which is 12 square roots of 2) is square root of 2 times as long as each leg.
so the answer must be:
<u><em>a = 12ft, b = 12ft</em></u>
Answer:
7 cans
Step-by-step explanation:
You will first have to divide 480 by 4
The anwser is 480 ÷ 4 = 120
Then you will have to 840 ÷ 120 = 7
<h2>
The answer is 7 cans </h2>
