Answer:
A coordinate grid that shows a point located halfway between 3 and 4 units to the right and 1 unit down from the origin
Step-by-step explanation:
In a coordinate grid, the y axis is plotted on the vertical axis and the x axis is plotted on the horizontal axis. A is plotted on a coordinate grid at (
) i.e (
). Above the origin is the positive y axis, below the origin is the negative y axis, right of the origin is the positive x axis and left of the origin is the negative x axis.
To plot A on the coordinate axis we need to locate
on the x axis and -1 on the y axis.
is halfway between 3 and 4, since the x coordinate is positive it is located to the right between 3 and 4 and since the y coordinate is negative it is located 1 unit down from the origin.
<h3>Answer: 7 goes in the blank space</h3>
The range of values for x is 2 < x < 7
========================================
Explanation:
The hinge theorem says that the larger the opposite side is, the larger the angle will be.
AD = 11, DC = 8
Since AD > DC, this means angle ABD > angle DBC.
--------
angle ABD > angle DBC
20 > 4x-8
20+8 > 4x-8+8 ... add 8 to both sides
28 > 4x
4x < 28 ... flip both sides and the inequality sign
4x/4 < 28/4 ... divide both sides by 4
x < 7
--------
At the same time, the angle 4x-8 cannot be 0 or negative.
So we say 4x-8 > 0. Let's solve this for x.
4x-8 > 0
4x-8+8 > 0+8 ... add 8 to both sides
4x > 8
4x/4 > 8/4 ... divide both sides by 4
x > 2
2 < x ... flip both sides and the inequality sign
--------
We have 2 < x and x < 7. Both of these combine to the compound inequality 2 < x < 7
We can pick any value between 2 and 7 as long as we dont pick x = 2 or we dont pick x = 7.
We can convert 24/16 to a mixed number. It will be equivalent to 24/16.
24/16
24 ÷ 16 = 1.5
16 can go in to 24 once.
24 - 16 = 8
1 = whole number
8 = numerator
16 = denominator
Lets write our mixed number:-

This can be simplified ^^^^

So, our old mixed number simplified is

So, 24/16 is equivalent to 1.

, 2.

Hope I helped ya!!! xD
Step-by-step explanation:
<u>Step 1: Find the volume of the original pyramid</u>
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<u>Step 2: Find the volume of the cut off</u>
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<u>Step 3: Find the percent that still remains</u>
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Answer: 99.2%