Answer:in first part of equation add 10x and 3x (like terms)
13x-4.5=12x-1.1
move all terms containing x to left side of equation
13x-4.5-12x= -1.1
x-4.5= -1.1
Subtract 4.5 from both sides
x=3.4
Step-by-step explanation:
Answer:
Total ways possible = 104 ways
Step-by-step explanation:
Total ways possible = 104 ways
The figure is attached here for understanding.
In the figure, the blank points are those points where we can not reach.
Answer:
The dimensions of the rectangle = 60ft by 107ft
Where 60 ft = Width of the playing field
107ft = Length of the playing field
Step-by-step explanation:
A playing field is Rectangular is shape, hence,
The formula for Perimeter of a rectangle = 2(L + W)
P = 334 ft
L = 47 + W
W = W
Hence we input these values in the formula and we have:
334 = 2(47 + W + W)
334 = 2(47 + 2W)
334 = 94 + 4W
334 - 94 = 4W
240 = 4W
W = 240/4
W = 60
There fore, the width of this playing field = 60 ft
The length of this rectangle is calculated as:
47 + W
47 + 60
= 107 ft
The length of this playing field = 107ft
Therefore the dimensions of the rectangle = 60ft by 107ft
The area of the shaded region is 994.74 square in if the area of the circle is 1384.74 square in and the area of the triangle is 390 square in.
<h3>What is a circle?</h3>
It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
As we know, the area of the circle is given by:
A = πr²
r = 21 in
A = 3.14(21)² = 1384.74 square in
Area of the triangle:
a = (39)(20)/2 = 390 square in
The area of the shaded region = 1384.74 - 390 = 994.74 square in
Thus, the area of the shaded region is 994.74 square in if the area of the circle is 1384.74 square in and the area of the triangle is 390 square in.
Learn more about circle here:
brainly.com/question/11833983
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-4, because it is four units away from zero.