Answer:
<u>The measure of the arc CD = 64°</u>
Step-by-step explanation:
It is required to find the measure of the arc CD in degrees.
So, as shown at the graph
BE and AD are are diameters of circle P
And ∠APE is a right angle ⇒ ∠APE = 90°
So, BE⊥AD
And so, ∠BPE = 90° ⇒(1)
But it is given: ∠BPE = (33k-9)° ⇒(2)
From (1) and (2)
∴ 33k - 9 = 90
∴ 33k = 90 + 9 = 99
∴ k = 99/33 = 3
The measure of the arc CD = ∠CPD = 20k + 4
By substitution with k
<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>
Answer:
AREA:

CIRCUMFERENCE:

Step-by-step explanation:
The formula that is used to calculate the area of a circle is:

Where "r" is the radius of the circle.
The formula for calculate the circumference of a circle is:

Where "r" is the radius of the circle.
Then, you need to find the radius. This is:

Substituting the radius, you get that the area and the circumference are:
AREA:

CIRCUMFERENCE:

Answer:
8
Step-by-step explanation:
45 divided by 5 is 9 and what you do on the to you do on the bottom which means you would do 40 divided by 5 which you would get 8 as your answer.
Answer:
Step-by-step explanation:
2x - 9y = 23
5x - 3y = -12x - 9y = 23
5x - 3y = -1
Answer:
Length = 49.5 unit and width = 49.5 unit
Step-by-step explanation:
Given as , Perimeter of rectangle = 198 unit
so ,as Perimeter of rectangle = 2× ( Length + width)
Or, 198 = 2 × (Length + width)
Or,
= length + width
So, length + width = 99 unit
Now to make area maximum
Length × width = maximum
Or, (99 - width ) × width = maximum
99 Width - width² = maximum Let width = W
Now differentiate both side with respect to W
D(99W - W²)
= 0 as, constant diff is 0
So, 99 - 2w = 0
Or, w = 
Or, w = 49.5 unit and L = 99- 4905 = 49.5 unit Answer