The equation for Cole's earnings per hour is
y = 12.5 + 0.75x
for Amad's:
y = 10.50 + 2x/2
When we equate them
12.5 + 0.75x = 10.50 + 2x/2
Solving for x
x = 2
They will have the same earning rate after 2 years
ST = 7.2
RT = 4.04
m∠S = 34°
Solution:
Given ΔRST is a right triangle.
RS = 6, ∠T = 56°
![$\csc A=\frac{\text {Hypotenuse} }{\text {Opposite side}}](https://tex.z-dn.net/?f=%24%5Ccsc%20A%3D%5Cfrac%7B%5Ctext%20%7BHypotenuse%7D%20%7D%7B%5Ctext%20%7BOpposite%20side%7D%7D)
![$\csc A=\frac{ST}{RS}](https://tex.z-dn.net/?f=%24%5Ccsc%20A%3D%5Cfrac%7BST%7D%7BRS%7D)
![$\csc 56^\circ=\frac{ST}{6}](https://tex.z-dn.net/?f=%24%5Ccsc%2056%5E%5Ccirc%3D%5Cfrac%7BST%7D%7B6%7D)
![$\csc 56^\circ \times 6=ST](https://tex.z-dn.net/?f=%24%5Ccsc%2056%5E%5Ccirc%20%5Ctimes%206%3DST)
1.206 × 6 = ST
7.236 = ST
ST = 7.2
![$\cot A=\frac{\text {Adjacent side} }{\text {Opposite side}}](https://tex.z-dn.net/?f=%24%5Ccot%20A%3D%5Cfrac%7B%5Ctext%20%7BAdjacent%20side%7D%20%7D%7B%5Ctext%20%7BOpposite%20side%7D%7D)
![$\cot A=\frac{RT}{RS}](https://tex.z-dn.net/?f=%24%5Ccot%20A%3D%5Cfrac%7BRT%7D%7BRS%7D)
![$\cot 56^\circ=\frac{RT}{6}](https://tex.z-dn.net/?f=%24%5Ccot%2056%5E%5Ccirc%3D%5Cfrac%7BRT%7D%7B6%7D)
![$\cot 56^\circ \times 6=RT](https://tex.z-dn.net/?f=%24%5Ccot%2056%5E%5Ccirc%20%5Ctimes%206%3DRT)
0.674 × 6 = RT
4.044 = RT
RT = 4.04
To find the measure of angle S.
Sum of the interior angles of the triangle = 180°
m∠R + m∠S + m∠T = 180°
90° + m∠S + 56° = 180°
m∠S + 146° = 180°
m∠S = 180° – 146°
m∠S = 34°
4 because of with and the Kenya
Answer:
Right now I'm wondering what kind of class you are taking to get such a weird graph, but I graphed it for you on the screenie.
Step-by-step explanation:
You should though recheck your question for exponents, as 9x2 could be interpreted differently.
Since exponents to not transition well here, I can assume that it was a 9x^2, so please add an exponent symbol ^ between the variables and exponents next time.
Answer: the probability that the number x of correct answers is fewer than 4 is 0.61
Step-by-step explanation:
Let x be a random variable representing the answers to the SAT questions. This is a binomial distribution since the outcomes are two ways. It is either the answer is correct or incorrect. Also, the probability of success or failure is constant for each trial. The probability of success, p = 0.35
The probability of failure, q would be 1 - p = 1 - 0.35 = 0.65
We want to determine P(x < 4)
n = number of trial = 9
x = 4
From the binomial distribution calculator,
P(x < 4) = 0.61