Answer:
65.4 degrees
Step-by-step explanation:
cos(x) = 5/12
x = arccos(5/12), which is approximately 65.3756816 (on calculator). to the nearest tenth that is 65.4
Answer:
The pencils cost $0.4 each and the folders $0.5.
Step-by-step explanation:
Since Sally bought six pencils and three folders for $3.9. We have the following expression:
6*penchils + 3*folders = 3.9
And since Henry bought two pencils and five folders for $3.3. We have the following expression:
2*pencils + 5*folders = 3.3
The system of equations is given by:
6*pencils + 3*folders = 3.9
2*pencils + 5*folders = 3.3
In order to solve it we will multiply the second equation by -3 and sum both equations:
6*pencils + 3*folders = 3.9
-6*pencils - 15*folders = -9.9
We have:
-12*folders = -6
folders = 0.5
2*pencils + 5*0.5 = 3.3
2*pencils + 2.5 = 3.3
2*pencils = 3.3 - 2.5
2*pencils = 0.8
pencils = 0.8/2 = 0.4
The pencils cost $0.4 each and the folders $0.5.
Answer:
d = 4.90
Step-by-step explanation:
Given the following data;
F = 9
d = 4
For an inversely proportional relationship, we have;
F = k/d²
Now, we would find the constant, k;
9 = k/4²
k = 9*16
k = 144
Next, to find d, when F = 6
d² = k/F
d² = 144/6
d² = 24
Taking the square root of both sides, we have;
d = 4.90
It totals out to 2496 in^2
Hope this helped
Answer: OPTION C.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the system of equations:
Solve for "y" from the first equation in order to write it in Slope-Intercept form:
Since the lines have different slopes, they cannot be parallel or coincident. Therefore, they are Intersecting.