Answer:
Step-by-step explanation:
we know that
In a join variation, If j varies jointly with respect to g and v, the equation will be of the form
where k is a constant
step 1
Find the value of k
we have
j=2,g=4,v=3
substitute and solve for k
The equation is equal to
step 2
Find the value of j when g=8,v=9
substitute the values in the equation and solve for j
Answer:
Number of high quality version downloads = 880
Step-by-step explanation:
Let,
x be the number of standard version songs downloaded
y be the number of high quality version songs downloaded
According to given statement,
x+y=1600 Eqn 1
2.8x+4.1y=5624 Eqn 2
Multiplying Eqn 1 by 2.8 to eliminate x
2.8(x+y=1600)
2.8x+2.8y=4480 Eqn 3
Subtracting Eqn 3 from Eqn 2
(2.8x+4.1y)-(2.8x+2.8y)=5624-4480
2.8x+4.1y-2.8x-2.8y=1144
1.3y=1144
Dividing both sides by 1.3
![\frac{1.3y}{1.3}=\frac{1144}{1.3}\\y=880](https://tex.z-dn.net/?f=%5Cfrac%7B1.3y%7D%7B1.3%7D%3D%5Cfrac%7B1144%7D%7B1.3%7D%5C%5Cy%3D880)
Hence,
Number of high quality version downloads = 880
a) because the denominators are the same add the numerators:
1 1/5 + 3 2/5 = 4 3/5
b) rewrite the fractions to have a common denominator:
1/2 = 3/6
1/3 = 2/6
Now subtract:
4 3/6 - 1 2/6 = 3 1/6
Answer:x=0 is the first statement, 3x+2<12 is the greater justification
Step-by-step explanation:
Answer:
Part 1) ![A=126.87^o](https://tex.z-dn.net/?f=A%3D126.87%5Eo)
Part 2) ![tan(A)=-\frac{4}{3}](https://tex.z-dn.net/?f=tan%28A%29%3D-%5Cfrac%7B4%7D%7B3%7D)
Step-by-step explanation:
we have
![cos(A)=-0.6](https://tex.z-dn.net/?f=cos%28A%29%3D-0.6)
The cos(A) is negative, that means that the angle A in the triangle ABC is an obtuse angle and the value of the sin(A) is positive
The angle A lie on the II Quadrant
step 1
Find the measure of angle A
![cos(A)=-0.6](https://tex.z-dn.net/?f=cos%28A%29%3D-0.6)
using a calculator
![A=cos^{-1}(-0.6)=126.87^o](https://tex.z-dn.net/?f=A%3Dcos%5E%7B-1%7D%28-0.6%29%3D126.87%5Eo)
step 2
Find the sin(A)
we know that
![sin^2(A)+cos^2(A)=1](https://tex.z-dn.net/?f=sin%5E2%28A%29%2Bcos%5E2%28A%29%3D1)
substitute the value of cos(A)
![sin^2(A)+(-0.6)^2=1](https://tex.z-dn.net/?f=sin%5E2%28A%29%2B%28-0.6%29%5E2%3D1)
![sin^2(A)=1-0.36](https://tex.z-dn.net/?f=sin%5E2%28A%29%3D1-0.36)
![sin^2(A)=0.64](https://tex.z-dn.net/?f=sin%5E2%28A%29%3D0.64)
![sin(A)=0.8](https://tex.z-dn.net/?f=sin%28A%29%3D0.8)
step 3
Find tan(A)
we know that
![tan(A)=\frac{sin(A)}{cos(A)}](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7Bsin%28A%29%7D%7Bcos%28A%29%7D)
substitute the values
![tan(A)=\frac{0.8}{-0.6}](https://tex.z-dn.net/?f=tan%28A%29%3D%5Cfrac%7B0.8%7D%7B-0.6%7D)
Simplify
![tan(A)=-\frac{4}{3}](https://tex.z-dn.net/?f=tan%28A%29%3D-%5Cfrac%7B4%7D%7B3%7D)