Answer:
3 = 14 and 4 = 8
Step-by-step explanation:
The reason as to why this is, is because of the line going down the middle. If you were to open one of the lengths as a door starting from the middle line it would fit perfectly with the top one.
Answer:
20 in²
Step-by-step explanation:
Assuming that the width of the sign is x, then from the question, we're told that the length is 5 times it's width, so
b = x inches
l = 5x inches
Again, we're told that the perimeter of the sign is 24 inches, and we know already that the perimeter of a rectangle is given as
Perimeter = 2(l + b), substituting this, we have
24 = 2(5x + x)
24 = 10x + 2x
24 = 12x
x = 24 / 12
x = 2 inches.
Since x is the width of the rectangle, and it's 2 inches, we use it to find the length of the sign.
l = 5 * 2
l = 10 inches.
Then, we are asked to find the area of the sign. Area of a rectangle is given as
A = l * b, so if we substitute, we have
Area = 10 * 2
Area = 20 square inches
Since he is 6 feet tall, he starts with 6 feet above the ground and adding 1.2 each rung that he clibs so..y=mx+b ..m=slope.. b=started with...y=1.2x+6
Answer:
Semicircle
Step-by-step explanation:
As we can see, the arc is bounded by the chord MO
since the chord passes through the center of the circle, we have it that the chord is a diameter
Mathematically, an arc bounded by a diameter represents half of a circle
So we can conclude that the arc MNO in circle C is a semicircle
<h3>
Answer: 4(x - 1)(x^2 + x + 1)</h3>
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Work Shown:
4x^3 - 4
4(x^3 - 1)
4(x - 1)(x^2 + x + 1)
In the last step, I used the difference of cubes factoring formula which is
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
