Write the ratio as a fraction in the fourth column of the table.
Hello!
The rule regarding the division of exponents states the following:

=

Insert any known values into the formula above:

=

Simplify the expression:

=
We have now proven that
is equal to
.I hope this helps!
Based on the calculations, the area of a rectangle to the nearest hundredth is equal to 1143.92 ft².
<h3>How to calculate the area of a triangle?</h3>
Mathematically, the area of a triangle can be calculated by using this formula:
Area = 1/2 × b × h
<u>Where:</u>
- b represents the base area.
By drawing a line between the points representing wicket 3 and wicket 9, we can logically deduce that wicket 2 forms a perpendicular bisector. Thus, the distance between the points representing wicket 3 and wicket 9 is given by:
Distance = 1/2 × 36.77
Distance = 36.77/2
Distance = 18.39 ft.
For the height of this triangle, we would apply Pythagorean's theorem:
h² = 25.02² - 18.39²
h² = 626.0004 - 338.1921
h² = 287.8083
h = √287.8083
h = 16.97 ft.
Area of triangle = 1/2 × b × h
Area of triangle = 1/2 × 36.77 × 16.97
Area of triangle = 311.99 ft².
For area of the rectangle, we have:
Mathematically, the area of a rectangle can be calculated by using this formula;
Area = LW
Area = 36.77 × 31.11
Area = 1143.92 ft².
Read more on area of a rectangle here: brainly.com/question/25292087
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Answer:
Substitution, but this system of equations has no solution.
Step-by-step explanation:
2x-4y=10
2y+6=x
----------------
2(2y+6)-4y=10
4y+12-4y=10
12=10
no solution.
Answer:
8 meters
Step-by-step explanation:
First you calculate 10% of 1,015 which is about 101.
Then you add 101 to 1,015 for the second lap distance, which is 1,116
Then you find 11/12 of 1,116 which is 1,023
Finally you subtract 1,023 by 1,015 to get 8.