The equation of a line of the slope-intersection form is given by:
Where:
m: It's the slope
b: It is the cut-off point with the y axis
If two lines are parallel then their slopes are equal.
We have the following line:
Thus, the slope of the line is -5.
Therefore a parallel line is of the form:
We replace the point 
Finally, the equation is of the form:
Answer:
Answer:
the answer is C. 210 sq. cm
Step-by-step explanation:
Find the area of the triangle
The area of one of the triangular faces can be found by using the formula below.
a = 1/2 bh
a = 1/2 (5 cm) (12 cm)
a = 30 sq. cm
Since there are two triangular faces, multiply the area of one triangular face by 2. The area of two triangular faces is 60 cm2.
Next, find the area of each of the three rectangular faces using the formula, area = lw.
1st rectangle
a = lw
a = (5 cm) (5 cm)
a = 25 sq. cm
2nd rectangle
a = lw
a = (5 cm) (12 cm)
a = 60 sq. cm
3rd rectangle
a = lw
a = (5 cm) (13 cm)
a - 65 sq. cm
Add the three rectangle areas to find a total of 150 sq. cm.
To find the surface area of the triangular prism, add the area of the two triangular faces to the area of the three rectangular faces.
60 sq. cm + 150 sq. cm = 210 sq. cm
Answer:
The cost of the sweater before the markup is $24.50.
Step-by-step explanation:
The percent markup of an item is calculated by subtracting the original cost of the item from the sale price and then dividing by the original cost. In this case, we are trying to find the original cost, so we know that the percent markup is 40%, or 0.4. Since the sale price of the item would be 100% of the original cost multiplied by an additional 40% markup, we can take the sale price of the item divided by 140%, or 1.4: 34.30/1.4 = 24.50.
Answer:
chisquare = 31.667
degree of freedom = 2
Step-by-step explanation:
Formula for chisquare test = (O-E)²/E
total number observations= 60 + 25 + 15 = 100
Estimated E,
80% x 100 = 80
15%x100 = 15
5% x 100 = 5
chisquare =
= 5 + 6.67 + 20
= 31.667
from the calculation above the value of the chisquare statistic = 31.67
the degree of freedom is the number of samples in the test n - 1
= 3-1
= 2
I have solve this question also in a tabular form to aid understanding in the file i uploaded.
thank you and good luck!
