Answer:
(4, -2) (see attached)
Step-by-step explanation:
Vector addition on a graph is accomplished by placing the tail of one vector on the nose of the one it is being added to. The negative of a vector is in the direction opposite to the original.
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<h3>vector components</h3>
The components of the vectors are ...
u = (1, -2)
v = (-6, -6)
Then the components of the vector sum are ...
2u -1/3v = 2(1, -2) -1/3(-6, -6) = (2 +6/3, -4 +6/3)
2u -1/3v = (4, -2)
<h3>graphically</h3>
The sum is shown graphically in the attachment. Vector u is added to itself by putting a copy at the end of the original. Then the nose of the second vector is at 2u.
One-third of vector v is subtracted by adding a vector to 2u that is 1/3 the length of v, and in the opposite direction. The nose of this added vector is the resultant: 2u-1/3v.
The resultant is in red in the attachment.
Answer:
B
Step-by-step explanation:
Area of Trapezoid
Area = (b1 + b2)*h/2
Area = (9 + 13)*11 /2
Area = (22) * 11/2
Area = 121 sqr. units.
Area of the unshaded triangle
Area = 1/2 b * h
Area = 1/2 9 * 11
area = 49.5
Area of the shaded region
Area = 121 - 49.5
Area = 71.5
B
Answer:
Volume of cylinder = 360.010cubic inches
Step-by-step explanation:
Volume of a cone
V = πr^2h/3
V - volume
π - pie
r - radius
h - height
Given
V = 120 inches cubic
π - 3.142
120 = 3.142 * r^2 * h/3
120 = 3.142r^2h/3
120 = 3.142/3 * r^2h
120 = 1.0473r^2h
r^2h = 120 / 1.0473
= 114.580
Make h the subject of the formula
h = 114.580 / r^2
Gotten the value for h, substitute h into the formula for volume of a cylinder
Since the cone and the cylinder has the same base and height
V = πr^2h
h = 114.580/r^2
π - 3.142
V = 3.142 * r^2 * (114.580/r^2)
V = 3.142 * r^2 * 114.580/r^2
r^2 divides r^2
V = 3.142 * 114.580
V = 360.010 cubic inches
Answer:
the best way to solve this is to have graph paper, so your numbers and points align. I have a model attached. the first point is hours slept 8. so on your graph go to 8 then across to 83, which is the test score. make a mark to represent this point. do this for all and it will create a line
Answer:
The amount earned is 2,600
Step-by-step explanation:
In order to find the commission amount, start by multiplying the percentage by the amount sold. Then to find the total amount, add the flat rate.
30,000*.02 = 600
Then add the flat rate
600 + 2,000 = 2,600
