Answer:
D. Fourth example.
Explanation:
In a function, you cannot have two of the same x values, and since 3 and 5 go to two different y values, this cannot be a function.
Hope this helps :)
For part A, turn 10x + 5y = 20 into slope intercept form. An equation with the same slope as Amanda’s equation will be linear. I hope this helps :)
Answer:
Figure A - hexagon
Figure B - triangle
Figure C - rectangle
Figure D - octagon
Step-by-step explanation:
If figure B has 3 vertices (angles), then that means it is a triangle (3 sides)
So that means figure A has 6 sides, (hexagon)
And figure D has 8 vertices, so 8 sides (octagon)
And if C has half as many, that would be 4 (rectangle)
The maximum diameter of the spheres he can purchase is 1. 78 ft. Option C
<h3>How to determine the diameter</h3>
The formula for area of a sphere is expressed as;
Area = 4 πr²
If Selim paid $2 per square foot and have a maximum of $20 per square
The area he can purchase is;
= $20/$2
= 10$
Substitute the value into the formula
10 = 4πr²
10 = 4 × 3. 142 × r²
10 = 12. 568r²
Make 'r²' the subject
r² = 10/ 12. 568
r² = 0. 79
Find the square root of both sides
r = √0. 79
r = 0. 89
But diameter = 2(radius)
Diameter = 2 × 0. 89 = 1. 78 ft
Thus, the maximum diameter of the spheres he can purchase is 1. 78 ft. Option C
Learn more about spheres here:
brainly.com/question/10171109
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Answer:
height ≈ 11.9 units
Step-by-step explanation:
Construct a perpendicular bisector from the vertex to the base, thus splitting the triangle into 2 right triangles.
Using the sine ratio in one of these right triangles, then
sin48° =
( the opposite is the height h )
sin48° =
( multiply both sides by 16 )
16 × sin48° = h , thus
h ≈ 11.9 ( to the nearest tenth )