4.7 x 10 : 3.1 x 10
= 47 : 31
Answer:
width=4in.
length=13in
Step-by-step explanation:
let the width of the rectangle be x
then the length will be x+9
Area= length×width
52= (x+9)x
52= x²+9x
x²+9x-52=0
x²+13x-4x-52=0
x(x+13) - 4(x+13)= 0
(x-4)(x+13)=0
x=4 or -13
dimension cannot be negative
hence x=4in
the width is 4in. and the length is 4+9=13in.
The coordinate (20, -32), the reflection of the coordinate over the x-axis is (20, 32)
<h3>Reflection of coordinates</h3>
If a coordinate (x, y) is reflected across the x-axis, the resulting coordinate after reflection is (x,-y)
Note that the y-ccordinate is negated after the reflection.
Given the coordinate (20, -32), the reflection of the coordinate over the x-axis is (20, 32)
Learn more on reflection here: brainly.com/question/26642069
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Well, let's imagine that this is a right triangle, rather than an angle.
The verticle side is 800 and the angle of the horizontal side and the hypotenuse is 5 degrees. We can now find what we need. Since we know that one of the angles is 5 degrees and one angle is 90 degrees, we can add 90 + 5 and now we have 95. Now we do 180 - 95 = 85. This is our missing angle. Now we have a full set of angles. Now we can find the missing side lengths. Let's start with the horizontal side. Now we can find the horizontal side length with the sine rule. This gets us 9,144.042. Now we find the hypotenuse using the Pythagorean Theorem. As you may remember, a^2 + b^2 = c^2. For our purposes, we can find it by 9,144.042^2 + 800^2 = c^2. This gets us with 9,178.971. Now we can conclude that the road is <span>9,178.971 feet long, or </span>1.7384414773 miles. I hope this helps you.
