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.
Step-by-step explanation:
5^2 + b^2 = 9^2
25 + b^2 = 81
b^2 = 56
square root both sides and b = 7.48 cm
The starting amount is $50. The decay rate is 25%.The equation for this problem is f(x)=50(.25)^x
Also if you need the answer to the equation it is that the video game will be worth $0.
Answer:
x = -5 or x= 2
Step-by-step explanation:
|-4x-6| = 14
There are two solutions, one positive and one negative
-4x-6 = 14 -4x-6 = -14
Add 6 to each side
-4x-6+6 = 14+6 -4x-6+6 = -14+6
-4x = 20 -4x = -8
Divide by -4
-4x/-4 = 20/-4 -4x/-4 = -8/-4
x = -5 x = 2
<span>To find the area of a two dimensional triangle we multiply one half of the base width by the base height so lets start with finding the area of a two dimensional part of the triangular prism. </span>
