The value of y from the given trig expression is pi/3 rad
<h3>Trigonometry identity</h3>These identities are expressed in terms of sine, cosine and tangent
Given the expression
Expand sin(x+y)
sin(x+y) = sinxcosy + cosxsiny
Compare both equations
cosy = 1/2
y = arccos(1/2)
y = 60 degrees
y = pi/3 rad
Hence the value of y from the given trig expression is pi/3 rad
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ANSWER
B. 3 ft by 8 ft
EXPLANATION
The area is given as 24 square feet.
This implies that,
The perimeter of the rectangular field is given as 22 feet.
This implies that,
Or
We make w the subject in this last equation and put it inside the first equation.
When we substitute into the first equation we get;
This implies that,
When l=3, w=24
Therefore the dimension is 3 ft by 8 ft
Answer:
5 kg
Step-by-step explanation:
To solve this problem, we can use the rule of three.
In fact, we know that:
- 1 kilogram is equivalent to 2.2 pounds
- The ratio between the mass in kilograms and in pounds is constant for every value of the mass
- Therefore, the mass in kilograms corresponding to 11 pounds can be found by writing the following equation:
Where
x is the mass in kilograms corresponding to 11 pounds.
Solving the equation for x, we find:
Answer:
Step-by-step explanation:
The water density is approximately 1 gram per cubic centimeter, which means that 1 gram of water occupies a volume of a cubic centimeter. Hence, 2.179 grams occupies a volume of 2.179 cubic centimeters.
Let assume volume occupied by the water has a cube-like shape, whose side has the following measure:
Answer:
y =
Domain = [3, infinity)
Step-by-step explanation:
x = 3y^2 + 3
3y^2 = x - 3
y^2 = (x-3)/3
y =