To solve for the slope given two lines, use the formula:
(y₂ - y₁)
----------
(x₂ - x₁)
Set one of the points as (x₁, y₁), and the other as (x₂, y₂).
(x₁, y₁) = <span>(0,32)
</span>(x₂, y₂) <span>= (100,212)
plug into corresponding places:
</span>(y₂ - y₁) (212 - 32) (180)
---------- = -------------- = -------
(x₂ - x₁) (100 - 0) (100)
180/100 is your slope
If you want simplified, it will be: 9/5
hope this helps
Answer:
4.609 meters
Step-by-step explanation:
The hypotenuse is the ladder because it is the slanted side. 3m is one of the other side lengths
A^2 + B^2 = C^2
3^2 + B^2 = 5.5^2
9 + B^2 = 30.25
30.25 - 9= B^2
21.25= B^2
4.609=B
Answer:
1.) mean
2.) H0 : μ = 64
3.) 0.0028
4) Yes
Step-by-step explanation:
Null hypothesis ; H0 : μ = 64
Alternative hypothesis ; H1 : μ < 64
From the data Given :
70; 45; 55; 60; 65; 55; 55; 60; 50; 55
Using calculator :
Xbar = 57
Sample size, n = 10
Standard deviation, s = 7.14
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(57 - 64) ÷ 8 / sqrt(10)
Test statistic = - 2.77
Pvalue = (Z < - 2.77) = 0.0028 ( Z probability calculator)
α = 10% = 0.1
Reject H0 ; if P < α
Here,
P < α ; Hence, we reject the null
Hey there!
As you can see, they are lying on the same line.
When two angles are on the same straight line, they are adjacent.
Adjacent angles are supplmentary.
Adjacent angles= 180 degrees Supplementary= 180 degrees
They are choices "A" and "B".
I hope this helps!
~kaikers
Area of circle is about 50.30 inches squared.
Area of square box is 64 inches squared.
Lastly 64 inches minus 50.30 inches is 13.70.
So, 13.70 Square Inches Of The Box Is Empty.
