Answer:
<h2>
</h2>
Step-by-step explanation:
According to the question,
∝
.......(1)
∝
.......(2)
From equation 1,2 let constant of proportionality be 
respectively.
⇒
.......(3)
⇒
.......(4)
From the above equations putting 4 into 3,
Let the new constant to the above equation be 
,
Given,if x=1, when z=4
⇒
Now if x=27, then z=?
⇒
⇒
Answer:
y=3
Step-by-step explanation:
Y+2=5
y+2-2=5-2
y=3
The ladder is the hypotenuse of a 45 45 90 triangle.
The legs of a 45 45 90 triangle = hypotenuse / sqroot (2)
15 / 1.414 = 10.608
(Incidentally it is the "bottom" of the ladder that is 10.608 feet from the wall. The "top" of the ladder is touching the wall. LOL)
Using a calculator, inserting the values of x and y, the correlation coefficient for the given data-set is of -0.9422.
<h3>How to find the correlation coefficient of a data-set?</h3>
Using a calculator, the correlation coefficient is found inserting the ordered pairs (x,y) in the calculator.
In this problem, we have that:
- The values of x are: 0.5, 1, 1.5, 2, 2.5, 3, 3.5, 4, 4.5, 5.
- The values of y are: 112.5, 110.875, 106.8, 100.275, 91.3, 79.875, 70.083, 59.83, 30.65, 0.
Hence, using a calculator, the correlation coefficient is of -0.9422.
More can be learned about correlation coefficients at brainly.com/question/25815006
#SPJ1
As the sum of two complementary angles = a + b = 90
degree -------(1)
Difference of two complementary angles = a – b
According to question;
The difference of two complementary angles exceed the
sume (90) by 86.
So
a – b = 90 – 86 = 4 -------(2)
adding equation (1) and (2);
2a = 90 + 4 = 94
a = 94 / 2 = 47
putting a = 47 in equation (1);
47 + b = 90
b = 90 – 47 = 43
<span>
So angle a = 47 and
angle b = 43</span>
