Answer:
0.707
Step-by-step explanation:
cos in the 4th quadrant is positive as well as in 1st quadrant.
cos(-45°) is in the 4th quadrant.
So cos40° must equal cos(-45°) which is 0.707.
Answer:
72
Step-by-step explanation:
This shape is a prism; it's a 3-D shape with 6 sides. Basically, it's a box.
All 6 sides are rectangles.
Surface area means that we'll find the area of all 6 rectangles and add them up.
There's a front and back, left and right, and a top and bottom.
The area of a rectangle is length×width or base×height.
The front and back are identical.
Area = length×width
Area = 6×3 = 18
Since the front and back are the same, two of the rectangles have area = 18.
The left and right are the same:
Area = 3 × 2
Area = 6
Two faces have area = 6.
The top and bottom are the same.
Area = 6 × 2
Area = 12
Again, two faces have area = 12.
To find the total surface area, add up all 6 areas.
A =18+18+6+6+12+12
A = 72
Answer:
2
Step-by-step explanation:
Answer:
780 people
Step-by-step explanation:
Basically, you have to find the scale by which the people who voted for Mr. Jones was, and then you have to multiply that scale by the number of people from the survey, which was 52. So here, 525 people voted for Mr. Jones, so we have to divide 525 by 35, which was the number of people that voted for Mr. Jones from the survey. You get 15 as the scale number, and multiply that by 52 to get 780, which is the total number of people that voted, assuming that these two are directly proportional.
Hi there!
Looking at the graph, the first intersection point is clear. The red parabola and blue line clearing intersect at the point (0, -1).
Find the second intersection point by setting the equations of both graphs equal to each other.
Line: y = 3x - 1
Parabola: y = 4x² - 1
Find another intersection point by setting these two equations equal to each other:
4x² - 1 = 3x - 1
Bring all terms onto one side:
4x² - 3x = 0
Factor out x:
x(4x - 3) = 0
Set 4x - 3 to 0 and solve:
4x - 3 = 0
4x = 3
x = 3/4
Plug in this value of x into an equation to solve for the y-coordinate. Use the linear equation for ease:
y = 3(3/4) - 1
y = 9/4 - 1
y = 5/4
(3/4, 5/4)
