Answer:
∠72°.
Step-by-step explanation:
If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

Cross multiply:

Divide both sides by '20':
x = 72°.
Therefore, the measure of the central angle of the arc is ∠72°.
Answer:
<h2>The answer is 0.1493.</h2>
Step-by-step explanation:
In a standard deck there are 52 cards in total and there are 4 aces.
Two cards can be drawn from the 52 cards in
ways.
There are (52 - 4) = 48 cards rather than the aces.
From these 48 cards 2 cards can be drawn in
ways.
The probability of choosing 2 cards without aces is
.
The probability of getting at least one of the cards will be an ace is
.
Answer:
False
Step-by-step explanation:
y=5x + 5
0=5 (5)+5
0=10+5
0≠15
False
Answer:
The height is 6 inches.
Step-by-step explanation:
Area of the square = length of a side squared.
This square has area 6^2 = 36 in^2.
Area of the parallelogram = base * height
= 6h.
As the areas are equal:
6h = 36
h = 36/6 = 6 inches.
Answer:
3) f(x) = 3(x + 2)^2 - 1.
Step-by-step explanation:
f(x) = 3x² + 12x +11
f(x) = 3(x^2 + 4x) + 11 Completing the square:
f(x) = 3[(x + 2)^2 - 4] + 11
f(x) = 3(x + 2)^2 -+3*-4 + 11
f(x) = 3(x + 2)^2 - 12 + 11
f(x) = 3(x + 2)^2 - 1.