In the largest triangle, the missing side has length
√((11 + 5)² - <em>x</em> ²) = √(256 - <em>x</em> ²)
But it's also the hypotenuse of the triangle with side lengths 11 and <em>y</em>, so that its length can also be written as
√(11² + <em>y</em> ²) = √(121 + <em>y</em> ²)
so that
√(256 - <em>x</em> ²) = √(121 + <em>y</em> ²)
or, by taking the squares of both sides,
256 - <em>x</em> ² = 121 + <em>y</em> ²
<em>y</em> ² = 135 - <em>x</em> ²
In the smallest triangle, you have
5² + <em>y</em> ² = <em>x</em> ² ==> <em>x</em> ² = 25 + <em>y</em> ²
Substitute this into the previous equation and solve for <em>y</em> :
<em>y</em> ² = 135 - (25 + <em>y</em> ²)
<em>y</em> ² = 110 - <em>y</em> ²
2<em>y</em> ² = 110
<em>y</em> ² = 55
<em>y</em> = √55
Answer:
An 99% confidence interval of the given proportion
(0.355 , 0.385)
Step-by-step explanation:
Given sample size n= 900
the number of successes in the sample is x=333
The proportion P = 
Q = 1-P =1 - 0.37 = 0.63
<u>Confidence interval</u>:-
99% of confidence interval zα = 2.93


(0.37 - 0.015 , 0.37 + 0.015)
(0.355 , 0.385)
<u>Conclusion</u>:-
<u>An 99% Confidence interval (0.355 , 0.385)</u>
ANSWER

EXPLANATION
The required equation passes through:
(4,3) and is perpendicular to x+y=4.
Rewrite the given equation in slope-intercept form:

The slope of this line is -1.
The slope of the required line is perpendicular to this line, so we find the negative reciprocal of this slope.

The equation of the line can be found using:

We substitute the slope and point to obtain:

We simplify to get:


The required equation is
Answer:
6
Step-by-step explanation:
pls brainliest
9/2=4.5
27/4.5=6
Answer:
B. $466
How:
You would have to add up all KNOWN expense that Lydia made and then the money the she spent on rent would be an exact replica of that.