Answer:
64°
Step-by-step explanation:
Set the measure of the original angle as x.
The measure of its supplement would be 180-x.
Thus,
x = 0.5 * (180-x) + 6
x = 90 - 0.5x + 6
1.5x = 96
x = 64°
Answer:
Amy would require 411 square inches of fabric to cover the lateral surface area of the cylindrical container.
Step-by-step explanation:
We are given the following in the question:
Dimension of cylindrical container:
Height, h = 11.1 inch
Radius, r = 5.9 inch.
We have to calculate the fabric require to cover the LSA of the cylindrical container.
Fabric required = LSA of cylindrical container
Putting vales, we get,
Thus, Amy would require 411 square inches of fabric to cover the lateral surface area of the cylindrical container.
Ok equilateral triangle
altitude=27
height=27
if you drwa the height, you see that the equilateral triangle is split up into 2 right trnalges
base=1/2 of one side
hypotonuse=1 side
vertical side=27
represent measure of 1 side as x
base=x/2
hypotonuse=x
vertical side=27
we have a right triangle
use pythagoran theorem
a^2+b^2=c^2
a=x/2
b=27
c=x
so
(x/2)^2+27^2=x^2
(x^2)/4+729=x^2
multiply both sides by 4 to clear fraction
x^2+2916=4x^2
subtract x^2 fromboth sides
2916=3x^2
divide both sides by 3
972=x^2
squuare root both sides
18√3
one side is 18√3 feet or aprox 31.1769 feet
The answer is y =3
because you divid on both sides
Answer:
Domain: [-5, 4]
Range: [-5, 0] U (2, 4]
Step-by-step explanation:
The domain encompasses whatever the input (in this case, the horizontal values) can be and the range is what the output (in this case, the vertical values) can be.
As shown on the graph, all horizontal values including and between -5 and 4 are used on the graph. It does not matter that they are on two separate lines. Therefore, the domain is [-5, 4]. Note that the closed brackets signify that -5 and 4 are used
The y values used in the bottom line range from -5 to 0, and in the top one they range from 2 to 4 (not including the 2, as shown by the open circle). Therefore, the bottom range is [-5, 0] and the top range is (2, 4]. We can combine these to say the range is [-5, 0] U (2, 4]
