No, the ratios aren’t equivalent
Answer:
5/6 mile
Step-by-step explanation:
The formula for the area of a rectangle can be used with the given values to write an equation for the length of the farmland.
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Here is the equation for the area of a rectangle.
A = LW . . . . . area is the product of length and width
When we fill in the area and width, we have ...
5/9 mi² = L(2/3 mi) . . . . . equation for the length of the farmland
Solving this equation gives ...
L = (5/9)/(2/3) mi . . . . . . . . divide by the coefficient of L
L = (5/9)/(6/9) mi = 5/6 mi . . . . . perform the division
The length of Sandra's farmland is 5/6 mile.
Answer:
The first one 10 units would be the perimenter of the tenth figure.
Answer: Pythagorean Theorem in 3 D
sqrt ( 3^2 + 4^2 + 2^2) =
sqrt ( 9 + 16 + 4) =
sqrt( 29) = 5.3852 approximately
Step-by-step explanation:
The longest diagonal is about 8.9 inches. The longest length is going to be between the two longest lengths, the width and the height. The Pythagorean theorem is a^2 + b^2 = c^2. Plug the width and height into a and b of the Pythagorean equation. (4)^2 + (8)^2 = c^2. Now simplify the equation. 16 + 64 = c^2. 80 = c^2. Now find the square root of each side. (sqrt)80 = (sqrt)c^2. If you simplify this, you will find that c is equal to about 8.9 inches.
Answer:
5:1 cm
Step-by-step explanation:
Let's look at the ratio in fraction form, since ratios are easier to think about in this mathematical way:
Now we have a fraction which is easier to work with. We can look for a common factor of 25 and 5 and then factor it out to find the lowest terms of our ratio and the simplified version of the fraction. One common factor of 25 and 5 that I can think of is 5 itself. So, let's divide both sides by 5.
÷ 
= 
Does that make sense? 25 divided by 5 is 5, and 5 divided by 5 is 1. So the simplified version of the fraction is , and the lowest terms of the ratio 25:5 cm is 5:1 cm.
Hopefully that makes sense! If you need more help or any of that was confusing or difficult to understand, let me know. :)
