The equation that shows the relationship between x and y is:
y = 5x
A linear equation is in the form:
y = mx + b
where m is the rate of change and b is the initial value of y, y, x are variables.
Let x represent the number of nights knitting and y represent the length of the scarf.
The equation that shows the relationship between x and y is:
y = 5x
Find out more at: brainly.com/question/13911928
Cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.
<h3>What is angle measurement?</h3>
An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
Given data;
sin(1/2) = π/6
The value of the trignometric function are;
cos(π/6) = (√3)/2
tan(π/6) = 1/√3 = (√3)/3
In the second quadrant, where the cosine and tangent signs are both negative, is the angle of interest.
θ = 5π/6
cos(5π/6) = -(√3)/2
tan(5π/6) = -(√3)/3
Hence. cosine theta equals the negative square root of three over two; tangent theta equals the negative square root of three over three is the correct answer.
To learn more about the angle measurement, refer to the link;
brainly.com/question/14684647
#SPJ1
Given:
2 rectangular prism.
same height
square bases
Box A Box B
Square Base side 2 ft 0.75 ft
Height 4 ft 4 ft
Solving for the space inside each rectangular prism, we need to find its volume.
Volume of a rectangular prism = length * width * height
Box A:
Volume = 2 ft * 2 ft * 4 ft = 16 cubic feet
Box B:
Volume = 0.75 ft * 0.75 ft * 4 ft = 2.25 cubic feet
Box A - Box B = difference in space
16 cubic feet - 2.25 cubic feet = 13.75 cubic feet
Box A contains 13.75 cubic feet more space than Box B.
