Answer:
Slope: 2
Step-by-step explanation:
Given the table
means the line passes through the points (5,-3), (6,-1), (7,1) and (8,3).
The slope of the line passing through the points and is
So, the slope of the line is
First, we want to work out the angles in the triangles.
We know the bottom left is 47, this means that the other angle in the large triangle must be 43
180 - 90 - 47 = 43
To complete the right angle, the second angle at the top must be 47
90 - 43 = 47
This leaves angle B as 43
Now that we know the angles, we need to label the smaller triangle with the hypotenuse, the adjacent and the opposite.
The Hypotenuse is always opposite the right angle (AB)
We can use the angle of 47 (B) to work out length AB
Opposite 47 is the vertical line
Leaving adjacent as the horizontal line
We know what the adjacent is and want to know the hypotenuse
SOH CAH TOA
Cos(...) = Adjacent/Hypotenuse
Fill in what we know
Cos (47) = 22/Hyp
We can rearrange the formula to find the hyp
22/cos(47) = hyp
32.25814208 yards
32.26 yards
<em>If this is confusing feel free to PM me</em>
Answer:
54 square feet
Step-by-step explanation:
We need to find the area of the surface touching the floor and deduct it from the total surface area of the block.
The surface area of the entire block is given as:
A = 2(lw + lh + wh)
where l = length
w = width
h = height
The dimensions of the block are 2 feet by 3 feet by 6 feet. This means that:
l = 2 feet, h = 3 feet, w = 6 feet
Therefore, the total surface area is:
A = 2[(2 * 3) + (2 * 6) + (3 * 6)]
A = 2(6 + 12 + 18)
A = 2(36)
A = 72 square feet
The area of the surface that does not need covering is:
A = 3 * 6 = 18 square feet
The surface area of the part of the block that needs covering is therefore:
A = 72 - 18 = 54 square feet
210 we can write it as 210 = 180 + 30.
So 210 has a reference angle of 30 degree in third quadrant.
So x co-ordinate of terminal point is cos(210) =
y co-ordinate of terminal point is sin(210) =
So the terminal point is
With a calculator or by hand.