Answer:
2.26 in
Step-by-step explanation:
Given: the area of the slice is 4 in^2.
The formula for the area of a circle is A = (pi)(r)^2, where r is the radius.
Therefore,
A = 4 in^2 = (pi)(r^2), or
4 in^2
r^2 = ------------ = 1.273
pi
Since the area of the slice is A = (pi)(r^2), and since (d/2)^2 = r^2 = d^2/4
A = (4 in^2) = (pi)(d^2 / 4)
Solving for d^2, we divide both sides by pi/4, obtaining:
4 in^2
---------- = d^2 = 5.093 in^2
pi/4
and so d = √5.093 = 2.26 in (to the nearest 100th)
Answer:
The answer is D
Step-by-step explanation:
Looking at the image, the points are lettered. The question asks you to give the ordered pair these points fall on. The Y Axis is up and down. The X is left to right.
Answer: c
Step-by-step explanation:
Answer: A
Step-by-step explanation: it has to be A sorry if i'm wrong
Step One
Show that ΔADC ≡ ΔACB are similar Maybe ≡ this might mean congruent, I'm not sure. I want similarity.
A is common to both triangles.
<ADC = <ACB Both angles are right angles.
Conclusion
ΔADC is similar to ΔACB Angle Angle theorem which is enough to declare similarity.
Step Two
Find AB
Set up a proportion.
AD/AC = AC/AB corresponding parts of similar triangles bear the same ratio.
Substitute and solve for AB
2/5 = 5/AB Cross multiply
2AB = 25 Divide by 2
AB = 13/2
AB = 6.5
Step Three
Now you need the height of the triangle (CD)
That's just a^2 + b^2 = c^2
a = 2
c = 5
b = ???
2^2 + b^2 = 5^2
4 + b^2 = 25 Subtract 4 from both sides.
b^2 = 25 - 4
b^2 = 21
b = sqrt(21)
Step 4
Find the area.
A = 1/2 b*h
h = sqrt(21)
b = 6.5
Area = 1/2 6.5 * sqrt(21)
Area = 14.89