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:
If f(x)=3x+2and g(x)=x^2-9
find (f-g)(x)
f(x)- g(x) = [3x + 2] - [x^2 - 9]
= -x^2 + 3x + 11
Your answer would be 6cm by 48cm because if your ratio is 1:8 your second number would be eight times the cm of your first number. 6*8=48
Answer:
12
Step-by-step explanation:
Distribute the negative which would get your 3x + 6 -3x + 6. The 3x would cancel out and you would add 6+6 = 12
Answer: the depth of the trench is 3685 ft
Step-by-step explanation:
The hole is approximately 347 yards wide. This means that the diameter of the hole is 347 yards.
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder or hole.
h represents the height or depth of the cylinder or hole.
π is a constant whose value is 3.14
From the information given,
Volume = 348289500 ft³
Radius = diameter/2 = 347/2 = 173.5 ft
Therefore,
348289500 = 3.14 × 173.5² × h
348289500 = 94521.065h
h = 348289500/94521.065
h = 3685 feet
