Answer:
im to hungry now to answer
Step-by-step explanation:
Answer:
The area of the pentagon is 193.45 square inches.
Step-by-step explanation:
In order to solve this question we need to use the appropriate formula for the pentagon's area shown below:
area = (p*a)/2
Where p is the perimeter for the pentagon and a is it's apothem.
area = (53*7.3)/2 square inches
area = 386.9/2 square inches
area = 193.45 square inches
The area of the pentagon is 193.45 square inches.
90 degrees because you can see at the part that is in the middle it is 90 degrees
Answer:
0.8178
Step-by-step explanation:
To make a 13% decrease in a value, we need to make the difference between the value (X) and 13% of the value:
X - 13% of X = X - 0.13*X = 0.87*X
To make a 6% decrease, following the same method, we just need to multiply the value by (1-0.06) = 0.94
So, to represent in a single decimal value a decrease of 13% and then a decrease of 6%, we just need to multiply the value by 0.87 and then by 0.94:
X*0.87*0.94 = X*0.8178
So the single decimal multiplier is 0.8178
Answer:
ln|sec θ + tan θ| + C
Step-by-step explanation:
The integrals of basic trig functions are:
∫ sin θ dθ = -cos θ + C
∫ cos θ dθ = sin θ + C
∫ csc θ dθ = -ln|csc θ + cot θ| + C
∫ sec θ dθ = ln|sec θ + tan θ| + C
∫ tan θ dθ = -ln|cos θ| + C
∫ cot θ dθ = ln|sin θ| + C
The integral of sec θ can be proven by multiplying and dividing by sec θ + tan θ, then using ∫ du/u = ln|u| + C.
∫ sec θ dθ
∫ sec θ (sec θ + tan θ) / (sec θ + tan θ) dθ
∫ (sec² θ + sec θ tan θ) / (sec θ + tan θ) dθ
ln|sec θ + tan θ| + C
