Answer:
Step-by-step explanation:
1:4
1:2
5:1
Answer:
Domain is all the possible x-values that can be plugged in and range is all the possible y-values that can be outputs. f(x)=1x can have any number as an input except for zero. If we plug in zero for x , then we would be dividing by zero which is impossible. Thus the domain is all real numbers except for zero.
Step-by-step explanation:
<h2>
Answer:</h2>
<u>, "six and one over two ft".</u>
<h2>
Step-by-step explanation:</h2>
Let's considerate the fact that the garden has a <u>square shape</u>.
<h3>1. Finding values of interest.</h3>
Amount of fence that the gardener already has:
ft.
Length of one side:
ft.
If one side measures
ft, and the square garden has 4 sides of equal length, because it's a square, then we must multiply the measure of one side by 4 to find the total length of fence needed:
![4*(2\frac{3}{4})=\\ \\4*(2+\frac{3}{4})=\\ \\(4*2)+(4*\frac{3}{4})=\\ \\8+(\frac{12}{4} )=\\ \\8+3=\\ \\11](https://tex.z-dn.net/?f=4%2A%282%5Cfrac%7B3%7D%7B4%7D%29%3D%5C%5C%20%5C%5C4%2A%282%2B%5Cfrac%7B3%7D%7B4%7D%29%3D%5C%5C%20%5C%5C%284%2A2%29%2B%284%2A%5Cfrac%7B3%7D%7B4%7D%29%3D%5C%5C%20%5C%5C8%2B%28%5Cfrac%7B12%7D%7B4%7D%20%29%3D%5C%5C%20%5C%5C8%2B3%3D%5C%5C%20%5C%5C11)
<h3>
2. How much more does he need?</h3>
The gardener already has
, which equals
. Hence, the difference between the amount needed and the amount that the gardeneralready has will give us the remaining amount required. Let's do that:
![11-(4+\frac{1}{2} )=\\ \\11-(\frac{8}{2} +\frac{1}{2} )=\\ \\11-\frac{9}{2}= \\ \\\frac{22}{2} -\frac{9}{2}=\\\\ \frac{13}{2}](https://tex.z-dn.net/?f=11-%284%2B%5Cfrac%7B1%7D%7B2%7D%20%29%3D%5C%5C%20%5C%5C11-%28%5Cfrac%7B8%7D%7B2%7D%20%2B%5Cfrac%7B1%7D%7B2%7D%20%29%3D%5C%5C%20%5C%5C11-%5Cfrac%7B9%7D%7B2%7D%3D%20%5C%5C%20%5C%5C%5Cfrac%7B22%7D%7B2%7D%20-%5Cfrac%7B9%7D%7B2%7D%3D%5C%5C%5C%5C%20%5Cfrac%7B13%7D%7B2%7D)
<h3>3. Express your result.</h3>
![\frac{13}{2} =\\ \\\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{2}{2} +\frac{1}{2}= \\ \\6+\frac{1}{2}=\\ \\6\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B2%7D%20%3D%5C%5C%20%5C%5C%5Cfrac%7B2%7D%7B2%7D%20%2B%5Cfrac%7B2%7D%7B2%7D%20%2B%5Cfrac%7B2%7D%7B2%7D%20%2B%5Cfrac%7B2%7D%7B2%7D%20%2B%5Cfrac%7B2%7D%7B2%7D%20%2B%5Cfrac%7B2%7D%7B2%7D%20%2B%5Cfrac%7B1%7D%7B2%7D%3D%20%5C%5C%20%5C%5C6%2B%5Cfrac%7B1%7D%7B2%7D%3D%5C%5C%20%5C%5C6%5Cfrac%7B1%7D%7B2%7D)
Answer:
The length of AB is 7.45 units.
Step-by-step explanation:
You can find the length of AB using Cosine Rule, cosθ = adj./hypo. :
θ = 20°
adj. = 7 units
hypo. = AB
cos 20° = 7/AB
AB = 7/cos 20°
= 7.45 units (3s.f)
Answer:
V = l×w×h units³
Step-by-step explanation:
The volume of a rectangular prism is V = l×w×h