Answer:
17.7
Step-by-step explanation:
angle B = 180 - 81 - 65 = 34 degrees
as the sum of all angles in any triangle is always 180 degrees.
a/sin(A) = b/sin(B) = c/sin(C)
the sides are always on the opposite side of the angle.
so,
10/sin(34) = AB/sin(81)
AB = 10×sin(81) / sin(34) = 17.7
Answer:
Can't tell if it went through...
1. Shop A = 2x
2. Shop B = 2x - 580
3. Total = Shop A + Shop B
1949 = 2x + 2x - 580
4. Combine like terms
2x + 2x = 4x
1949 = 4x - 580
5. Add 580 to both sides (to remove -580 from right side)
1949 + 580 = 4x - 580 + 580
2529 = 4x
6. Divide both sides by 4 (to get x)
2529 / 4 = 4x / 4
632.25 = x
7. Shop A = 2x
2 * 632.25 = 1264.50
Shop A = 1264.50
8. Shop B = 2x - 580
2 * 632.25 - 580 = 684.50
Shop B = 684.50
Check: Shop A + Shop B = 1949
1264.50 + 684.50 = 1949
Shop A = 1264.50
Shop B = 684.50
Step-by-step explanation:
Answer:
Third option:
Step-by-step explanation:
<h3><em> The correct form of the exercise is: "The point-slope form of the equation of a line that passes through points (8, 4) and (0, 2) is
. What is the slope-intercept form of the equation for this line?"</em></h3><h3><em /></h3>
<em> </em>The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Given the equation of the line in Point-Slope form:
You need to solve for "y" in order to write the given equation of the line in Slope Intercept form.
Then, this is:
You can identify that the slope "m" is:
And the y-interecept "b" is:
Answer:
b= -4.68
Step-by-step explanation:
Hello!
We have to study variables:
Y: Monthly coffe sales
X: Price per pound of coffe ($)
The estimate regression line is
^Yi= a + bxi ∀ (i=1,.....,10)
The slope of the estimated regression line is represented by b.
The formula I'll use to calculate it is:
b= [n∑xiyi -(∑xi)*(∑yi)]/ n∑xi²-(∑xi)²
To calculate b we need to do some auxiliary calculations:
∑xiyi= 4213.15
∑xi= 87.47
∑yi= 545
∑xi²= 883.3703
Then we replace the formula:
b= [10*4213.15-(87.47)*(545)]/ n883.3703-(87.47)²
b= -4.68
I hope you have a SUPER day!