Answer:
Length of the shorter diagonal is 8.68 cm.
Step-by-step explanation:
Length of the side AB = 11 cm
Length of side BC = 5 cm
Angle between these sides, m∠ABC = 50°
By cosine rule in ΔABC,
AC² = AB² + BC² - 2AB.BC.cos B
AC² = (11)² + 5² - 2(11)(5)cos50°
AC² = 121 + 25 - 70.71
AC = √(75.29)
AC = 8.68 cm
By the property of parallelogram,
m∠B + m∠C = 180° [Interior consecutive angles]
50° + m∠C = 180°
m∠C = 130°
Similarly, In ΔBCD,
BD² = BC² + CD² - 2BC.CD.cos130°
BD² = (5)² + (11)² - 2(5)(11)cos130°
BD² = 25 + 121 + 70.71
BD² = 216.71
BD = 14.72 cm
Therefore, length of the shorter diagonal will be 14.72 cm.
A. 0.55
B. 0.65
C. 0.35
D. 0.45
0.65 represents the strongest correlation.
Answer: Option B.
<u>Explanation:</u>
In statistics, correlation or dependence is any measurable relationship, regardless of whether causal or not, between two arbitrary factors or bivariate information. In the broadest sense connection is any measurable affiliation, however it normally alludes to how much a couple of factors are straightly related.
For two factors, a statistical correlation is estimated by the utilization of a Correlation Coefficient, spoke to by the image (r), which is a solitary number that depicts the level of connection between two factors.
Answer:
x-intercept: (6,0)
y-intercept: (0,4)
Step-by-step explanation:
The x-intercepts lay on the x-axis and therefore their y-coordinate is 0.
To find the x-intercept, you set y to 0 and solve for x.
2x+3y=12
Set y=0.
2x+3(0)=12
2x+0 =12
2x =12
Divide both sides by 2:
x =12/2
x =6
The x-intercept is (x,y)=(6,0).
The y-intercepts lay on the y-axis and therefore their x-coordinate is 0.
To find the y-intercept, you set x to 0 solve for y.
2x+3y=12
2(0)+3y=12
0+3y =12
3y =12
Divide both sides by 3:
y =12/3
y =4
The y-intercept is (0,4).
Answer:
Step-by-step explanation:
Mabye 7?
Answer:
First, solve for two points as an equation instead of an inequality to find the boundary line for the inequality.
For:
x
=
0
y
=
0
+
5
y
=
5
Or
(
0
,
5
)
For:
x
=
−
2
y
=
−
2
+
5
y
=
3
Or
(
−
2
,
3
)
We can now plot the two points on the coordinate plane and draw a line through the points to mark the boundary of the inequality.
The boundary line will be solid because the inequality operator contains an "or equal to" clause.
graph{(x^2+(y-5)^2-0.125)((x+2)^2+(y-3)^2-0.125)(y-x-5)=0 [-20, 20, -10, 10]}
Now, we can shade the left side of the line.
graph{(y-x-5) >= 0 [-20, 20, -10, 10]}
