Answer:
The area of the figure is 63.25 square feet
Step-by-step explanation:
we know that
The area of the figure is equal to the area of semicircle plus the area of triangle
step 1
Find the area of semicircle
The area of semicircle is
we have
----> the radius is half the diameter
substitute
step 2
Find the area of the triangle
The area of triangle is equal to
we have
substitute
step 3
The area of the figure is equal to
substitute
Answer: Option 'A' is correct.
Step-by-step explanation:
Since we have given a situation that
If an increase in one variable causes a decrease in another variable,
Then, there is inverse relationship.
When one variable is increased whereas other variable falls.
There will be inverse relationship.
Since inverse relation has negative relation.
Then, there is a negative relationship.
Hence, Option 'A' is correct.
Area of a rectangle is the product of length times width. Thus, here we need the product of 8 1/2 inches by 11 inches.
One way of doing this follows: 8.5
8.5
----------
93.5 square inches
Rounding up, this comes out to 94 square inches.
Alternatively: 17 187
---- * 11 = ------- = 93.5 square inches; rounded, that's 94.
2 2
Answer:
Step-by-step explanation:
Identities : -
cot = cos / sin
tan = sin / cos
( cot + tan ) sin = sec
LHS
= ( cot + tan ) sin
= ( ( cos / sin ) + ( sin / cos ) ) sin
= ( ( cos sin ) / sin ) + ( sin² / cos )
= cos + ( sin² / cos )
LCM = cos
= ( cos² / cos ) + ( sin² / cos )
= ( cos² + sin² ) / cos
Identity : -
cos² + sin² = 1
= 1 / cos
= sec
= RHS
Hence proved.
Their running paths form the legs of an isosceles right triangle. The hypotenuse of such a triangle (the distance between Steve and Scott) is √2 times the length of one leg. Each has run 10 miles in the hour since they split.
They are running at 10 miles per hour.
