So, 260 degrees is in the 3rd quadrant, only 10 degrees away from being straight down at 270 degrees....if you have a xy axis, and draw a line segment from the origin into the 3rd quadrant, then at the endpoint of that segment, draw back up to the x-axis, your reference angle is the angle that the line segment makes with the x-axis (in this case, the negative portion of the x-axis), which is 80 degrees....since 260 degrees is 80 degrees past 180.
So your answer is 80 degrees.
Hope this helps,
Brian
Answer:
The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64.
Step-by-step explanation:
Let L represents the Length of the cube before it's dilated.
Volume, V1 = Length * Length * Length
Volume, V1 = L * L * L
Volume, V1 = L³
When the cube is dilated by a factor of 4.
The new Length becomes 4L.
The new volume is calculated as thus.
New Volume, V2 = 4L * 4L * 4L
New Volume, V2 = 64L³
Dividing the new volume by the old volume gives the increment factor.
Factor = New Volume ÷ Old Volume
Factor = V2/V1
Factor = 64L³/L³
Factor = 64.
Hence, when the sides of the cube is dilated by 4, the volume increases by a factor of 64.
Filling the gap of the given sentence;
"The volume increases by a factor or 64. When the cube is dilated, each side length is increased by 4, so the volume is increased by 64"
Answer:
In the explanation
Step-by-step explanation:
a) Multiply the second equation by 2, subtract both lines. You get x = -3. Plug this in to get y, y = -2
b) Multiply the first equation by 2, add both lines. You get x = 8. Plug this in to get y, y = -3
c) Multiply the first equation by 5, subtract both lines. You get y = 1. Plug this in to get x, x = -3
d) Multiply the first equation by 2 and the second one by 3, add both lines. You get x = 1. Plug this in to get y, y = 4
Hope this helps!
Answer:
24
Step-by-step explanation:
<u>First, we round the fractions. </u>
If a fraction is half or more it rounds up, and if the fraction is less than half it rounds down.
7/10 is greater than half so it rounds up and we add 1 to 13 to get 14.
1/8 is less than half so we round down and remove the fraction so we are left with 10.
<u>Then we add.</u>
14+10=24
