The answer is B(11, 2sqrt(12) )
proof
the main equation of the circle is (x-x1)²+(y-y1)²=R²
where C(x1, y1) is the center
so if the center is the origin, it is O(0,0), and the equation becomes
<span> (x)²+(y)²=R²
</span>and the circle passes through the point (-5,2) so we can write
(-5)²+12²=R², it implies R= sqrt(25+144)=sqrt(169)=13
and for <span>B(11, 2sqrt(12) ) </span>11²+ (2sqrt(12))²= 121 + 48= 169= 13
it is checked.
Answer:
Step-by-step explanation:
I have a app called photomath, I really hope this works.
7 red, 8 yellow, 9 white......total = 24 roses
probability first pick is white : 9/24
probability second pick is yellow : 8/23
probability of both : 9/24 * 8/23 = 72/552 reduces 3/23 <====
Answer:
A. $2.26
Step-by-step explanation:
An equation for Harper's balance can be written similar to the one written for Raymond's balance. It will be ...
H(t) = 110(1.035)^t
For t = 2, the two balances will be ...
H(2) = 110(1.035^2) = 117.83
R(2) = 110(1.025^2) = 115.57
The difference is ...
$117.83 -115.57 = $2.26
Harper's account will have $2.26 more.
_____
As a quick estimate or sanity check, you can see that Harper's interest rate is 1% more than Raymond's. So, in 2 years, he will earn a little more than 2% more on his investment than Raymond earns. 2% of $110 is $2.20, so the difference can be expected to be slightly more than this.
Answer:
12.78 units
Step-by-step explanation:
The formula for arc length =
2πr × θ/360
From the question:
θ = 122°
r = 6 units
Therefore, the arc length =
2 × π × 6 × (122/360)
= 12.775810125 units
Approximately to the nearest hundredth = 12.78 units
Therefore, the length of arc CE is 12.78 units
