First off, the underline underneath means plus or minus, since when you take the square root of something, the answer can be negative or positive at the same time
1. 64 is a perfect square. 8 x 8 = 64, therefore it is +- (plus or minus) 8.
2. 45 is not a perfect square, so you can pull out numbers or plug into a calculator and estimate.
Both answers: Since 45 is divisible by 9 and five, you can break a nine into two threes, therefore pull it out, and since the answer is negative, you get:
-3(5)^0.5 (an exponent of one-half or 0.5 means square root)
If you solve by calculator, the answer is ~= (approximately equal to) -6.72
3. Since 90 is not a perfect square, repeat the previous question. 9 can go into 90, therefore you can pull out two threes and are left with: +-3(10)^0.5
Using the calculator, you get ~= +-9.49
60
30 *2
15 * 2 * 2
5 * 3 * 2 * 2
The measure of the Central Angle indicated is; 45°
<h3>How to find the central angle of a circle?</h3>
The central angle will be the angle subtended at the center by arc FE and arc CB.
Now, we see that angle ∠FOB = 135° and since we know that sum of angles on a straight line is 180°, then we can say that;
Central Angle = 180° - 135° = 45°
Angle subtended by Arc CD at the center is;
θ = 180 - (81 + 45)
θ = 54°
Read more about Central Angle at; brainly.com/question/17074363
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Answer:
-226,981
Step-by-step explanation:
This is how you do it.
First, you do 3-2 which is 1.
Then, you do 3-4 to the 3rd power which is -61.
After, you do 1*-61 because there are parenthesis, which equals -61.
Then, you do -61, which is the total of everything in parenthesis, and do it times the power of 3 to get -226,981.
Hope it helps!!^_^
Answer:
(r + 20)t = r
Step-by-step explanation:
Distance is constant in the scenario above, distance from home to wedding and wedding back home is the same.
From wedding back home. :
Recall : Distance = speed * time
Distance = r * 1 hour
From home to wedding :
Speed = 20 mph more ; r + 20
Time = t
Distance = (r + 20)* t = (r +20)t
Since the distance are the same, we can equate both :
(r + 20)t = r * 1
= (r + 20)t = r
