Answer:
3.68 inches × 77.28 inches
Step-by-step explanation:
Given that,
The perimeter of a rectangle is 162 inches.
Let the width is b.
ATQ,
Length = 7 times than 3 times the width
l = 7(3b) = 21b ...(1)
The perimeter of a rectangle is given by :
P = 2(l+b)
Put all the values,
162 = 2(21b+b)
81 = 22b
b = 3.68 inches
Put the value of b in equation (1)
l = 21b
= 21 (3.68)
= 77.28 inches
Hence, the dimensions of the rectangle are 3.68 inches × 77.28 inches
Answer: His average speed is 8 miles an hour
Step-by-step explanation: First, two halves make a whole, so we simply multiply how many miles he ran in half an hour by 2!
4 x 2 = 8
Hope this helps :)
The Length of third side of the triangle is 4x +5
What is the Triangle?
A triangle is a three-sided polygon that consists of three edges and three vertices. The most important property of a triangle is that the sum of the internal angles of a triangle is equal to 180 degrees. This property is called angle sum property of triangle.
How to determine the length of the third side of the Triangle?
The given parameters are:
Length of the first side = 3x+2
Length of the second side =7x-4
Perimeter of the triangle =14x+3
Now, The perimeter is the sum of the sides of lengths
So, we have
Perimeter = sum of the sides of lengths
According to the question:
14x+3 =3x+2 +7x -4 + third side
Evaluate the like terms
14x-10x = -2 -3
third side = 4x + 5
Hence, The length of the third side of the triangle is 4x+5
Learn more about of perimeter of the triangle
brainly.com/question/19214072
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Recall that
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Let
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, so that
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Since the angle
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lies in the second quadrant, you know that the cosine must be negative, so