Answer:
1 mile
Step-by-step explanation:
Henry: 20/4 = 5 miles/hour
Josie: 30/5 = 6 miles/hour
Difference:
6 - 5 = 1 mile/hour
Answer:
<em>Selections are shown in the image</em>
Step-by-step explanation:
<u>Relations and Functions</u>
A function is a relation between an input and an output set of values with the condition that every element in the domain relates only with one element in the range.
From the options presented below, we'll mark as functions only those who don't have relations between one element in the input set with more than one element in the output set.
In the first relation, every input element is related to only one output element. The same occurs in the second relation.
Note that in the third relation, the input element -5 is related to 4 and also to -4. Element -3 is also related to two different elements. This is not a function.
The fourth relation has the input element 1 related to two different output elements in the pairs (1,0) and (1,2). Thus, this is not a function either.
The fifth relation is a function. No input element is related to more than one output element.
Summarizing the options to select are shown below.
The Greek mathematician who wrote the most definitive text on geometry, one that is still referred to today is Euclid. Euclid of Alexandria is also called "Father of Geometry". He was a great Greek mathematician. Euclidean geometry is still widely taught in schools and colleges. I hope the answer comes to your help.
Answer:
B and C work. A and D do not.
Step-by-step explanation:
This is one of those questions that you have to go through each answer to see what the results are. You don't have to go far to eliminate A and D so let's do that first.
A]
5n + 6
Let n = 1
5(1) + 6
5 + 6= 11
However there is trouble beginning with n = 2
5*2 + 6
10 + 6
16 All you need is one wrong answer and the choice is toast. So A won't work.
================
Try D
6(n - 1)+ 5
n=0
6*(-1) + 5
-6 + 5
- 1
And D has been eliminated with just 1 attempt. n= 2 or n = 1 would be even worse. D is not one of the answers.
=============
B
Let n = 1
6(1) + 5
6 + 5
11 The first term works.
n = 2
6*(2) + 5
12 + 5
17 and n = 2 works as well. Just in case it is hard to believe, let's try n = 3 because so far, everything is fine.
n = 3
6*(3) + 5
18 + 5
23 And this also works. I'll let you deal with n = 4
========
C
n = 0
6(0 + 1) + 5
6*1 + 5
6 + 5
11
n = 1
6(1 + 1) + 5
6*2 + 5
12 + 5
17 which works.
So C is an answer.
Given:
Right triangle
θ = 60°
To find:
sin 60°
Solution:
The reference image is attached below.
The given triangle is a right triangle.
θ = 60°
Using basic trigonometric ratio formula:
![$\sin \theta = \frac{\text{Opposite side to } \theta} {\text{Hypotenuse}}](https://tex.z-dn.net/?f=%24%5Csin%20%5Ctheta%20%3D%20%5Cfrac%7B%5Ctext%7BOpposite%20side%20to%20%7D%20%5Ctheta%7D%20%7B%5Ctext%7BHypotenuse%7D%7D)
![$\sin 60^\circ = \frac{\text{Opposite side to } 60^\circ} {\text{Hypotenuse}}](https://tex.z-dn.net/?f=%24%5Csin%2060%5E%5Ccirc%20%20%3D%20%5Cfrac%7B%5Ctext%7BOpposite%20side%20to%20%7D%2060%5E%5Ccirc%7D%20%7B%5Ctext%7BHypotenuse%7D%7D)
![$\sin 60^\circ = \frac{BC}{AC}](https://tex.z-dn.net/?f=%24%5Csin%2060%5E%5Ccirc%20%20%3D%20%5Cfrac%7BBC%7D%7BAC%7D)
The value of sin 60° =
.
![$\frac{\sqrt{3} }{2} = \frac{BC}{AC}](https://tex.z-dn.net/?f=%24%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D%20%20%3D%20%5Cfrac%7BBC%7D%7BAC%7D)
In the given figure, the values of adjacent side, opposite side and hypotenuse are not given.