C/3 = 6 1/7
Multiply 3 to both sides:
C = 6 1/7 * 3
Convert 6 1/7 into an improper fraction:
C = 43/7 * 3
Multiply 3 to the numerator:
C = 129/7
Convert back into a mixed number:
C = 18 3/7
Answer:
The diagonal is 39.54 in
Step-by-step explanation:
First we use the Pythagorean theorem to calculate the length of the diagonal of the base.
If the base measures 13 inches by 35 inches then the diagonal is:
Now we use the Pythagorean theorem again to find the diagonal of the cube.
If the height of the box is 13 inches and the diagonal of the base is 37.34 inches then the diagonal of the cube will be
The baton will fit in the box if it is placed in the direction of the diagonal of the cube, since:
39.54\ in > 38 inches
The surface area of the rectangular prism is 427 mm². The correct option is the second option 427 mm²
<h3>Calculating surface area</h3>
From the question, we are to calculate the surface area of the rectangular prism
Surface area of a rectangular prism can be calculated by using the formula,
Surface area = 2(lw + lh + wh)
Where l is the length
w is the width
and h is the height
In the given diagram,
l = 21.5 mm
w = 4 mm
h = 5 mm
Putting the parameters into the equation, we get
Surface area = 2(21.5×4 + 21.5×5 + 4×5)
Surface area = 2(86 + 107.5 + 20)
Surface area = 2 × 213.5
Surface area = 427 mm²
Hence, the surface area of the rectangular prism is 427 mm². The correct option is the second option 427 mm²
Learn more on Surface area here: brainly.com/question/1310421
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Step-by-step explanation:
Given:
2x−y=7
Matching given equation with the variables,
a=2
and
b=−1 .
Swap "a" and "b"
-x + 2y = 7
Because b is negative, let's change that one:
x + 2y = 7
Is perpendicular to
2x−y=7
. Here is a graph to prove it:
The red line is
2x−y=7
The blue line is
x+2y=7
If you want the perpendicular line to go through a given point, then make the constant term on the right a variable (for example k)
x+2y=k
Now lets make the perpendicular line go through the point
(1,1)
by substituting 1 for x, 1 for y and the solving for k:
1+2(1)=k
k=3
The equation of the line that perpendicular to
2x−y=7 and goes through the point
(1,1)is:
x+2y=3
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