The area is the length times the width. Find area of shapes by counting unit squares. Some shapes will require combining partial square units to find area.<span>
For example - </span><span>A rectangle is 5 centimeters long and 4 centimeters wide. What is its area? </span>
Area = Length * width
The length is <span><span>5</span></span> centimeters. The width is <span><span>4</span></span> centimeters. So the area is <span><span>5 times </span>4</span> square centimeters.
= 20 square centimeters
Answer:
The larger angle is 54°
Step-by-step explanation:
Given
Let the angles be: θ and α where
θ > α
Sum = 72
α : θ = 1 : 3
Required
Determine the larger angle
First, we get the proportion of the larger angle (from the ratio)
The sum of the ratio is 1 + 3 = 4
So, the proportion of the larger angle is ¾.
Its value is then calculated as:.
θ = Proportion * Sum
θ = ¾ * 72°
θ = 3 * 18°
θ = 54°
Jacobs dog: $5 x 5 hours plus $ 12 service is $37
Jacks dog : $3 x 5 hours plus $18 service is $ 33
So it’s cheaper to go with jacks dog service
Answer: The equation of the sphere with the center and radius
b) The intersection of this sphere with the y z-plane the x- co-ordinate
is zero(i.e., x = 0 )
Step-by-step explanation:
a) The equation of the sphere having center (h,k,l) and radius r is
Given center of the sphere (3, -9, 3) and radius 5
on simplification , we get solution
Final answer :-
b) The intersection of this sphere with the y z-plane the x- co-ordinate
is zero(i.e., x = 0 )
13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0
Recall the double angle identity,
sin^2(x) = (1 - cos(2x))/2
If we let x = 13pi/12, then
sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]
where we took the negative square root because we expect a negative value.
Now, because cosine has a period of 2pi, we have
cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2
Then
sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]
sin(13pi/12) = - sqrt[2 - sqrt[3]]/2
