Trigonometric area formula: Area = What is the area of triangle PQR? Round to the nearest tenth of a square unit. 70.5 square un
its 111.3 square units 185.4 square units 222.5 square units
2 answers:
The complete question in the attached figure
we know that
When we know <span>two sides and the included angle the formula for calculate the area is
</span>Area=(1/2)*a*b*sin C
in this problem
let
a=20
b=12
C=68°
Area=(1/2)*20*12*sin 68°------> Area=111.26 units²-----> Area=111.3 units²
the answer is
111.3 units²
we know that
When we know <span>two sides and the included angle the formula for calculate the area is
</span>Area=(1/2)*a*b*sin C
in this problem
let
a=20
b=12
C=68°
Area=(1/2)*20*12*sin 68°------> Area=111.26 units²-----> Area=111.3 units²
the answer is
111.3 units²
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Answer:
Using either method, we obtain:
Step-by-step explanation:
a) By evaluating the integral:
The integral itself can be evaluated by writing the root and exponent of the variable u as:
Then, an antiderivative of this is:
which evaluated between the limits of integration gives:
and now the derivative of this expression with respect to "t" is:
b) by differentiating the integral directly: We use Part 1 of the Fundamental Theorem of Calculus which states:
"If f is continuous on [a,b] then
is continuous on [a,b], differentiable on (a,b) and
Since this this function is continuous starting at zero, and differentiable on values larger than zero, then we can apply the theorem. That means: