The passenger travelled 12 miles
1. Rational numbers can be written as a ratio (fraction)
Whole numbers are rational. 5 = 5/1, for example.
Square roots are NOT rational. Example: √3
However, square roots of square numbers can be simplified, and are therefore rational. <span>√4 = 2, rational.</span>
√4 + <span>√16 = 2 + 4 = 6. rational
</span>√5 + √36...<span> irrational
</span>√9 + <span>√24... irrational
</span>2 × <span>√4 = 2 × 2 = 4. rational
</span>√49 × <span>√81 = 7 × 9 = 63. rational
</span>3√12... irrational
2.
3.
4.
![n^\frac1x=\sqrt[x]n](https://tex.z-dn.net/?f=n%5E%5Cfrac1x%3D%5Csqrt%5Bx%5Dn)
![\sqrt[3]{m^2n^5}=m^{\frac23}n^{\frac53}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bm%5E2n%5E5%7D%3Dm%5E%7B%5Cfrac23%7Dn%5E%7B%5Cfrac53%7D)
5.
A, since neither 3 nor 12 is a square but we end up with 6.
4) In triangle, angle opposite to perpendicular is 90-60 = 30
So, tan Ф = P/B
tan 30 = a / 6
1/√3 = a/6
a = 6/√3
a = 2√3
Now, cosФ = B/H
cos 30 = 6/b
√3/2 = 6/b
b = 6*2/√3
b = 12/√3
b = 4√3
In short, Your Answer would be a = 2√3 and b = 4√3
Hope this helps!
Hi
1.If Mrs.Walters drives 360 miles on 25 gallons of gas , she drives 14.4 miles on 1 gallon of gas .
Work; I made a proportion , but you can just divide 360 and 25 .
x=14.4 miles
If Mr.Walters drives 480 miles on 32 gallons of gas , he drives 15.06 miles on 1 gallon of gas .
x=15.06 miles
2. Mr.Walter because he drives more miles with a gallon .
Work; 15.06 miles is greater than 14.4 miles.
Hope it helps and have a wonderful day.
For different function different results are shown below.
<h3>What is Function?</h3>
A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B.
We have been given a graph of piecewise function. Using that we have to select the function from given choices which is represented by graph.
g(x) = −2x, −2 < x < 0
Answer:
NO. Because g(x) = −2x has negative slope so that means it goes downward also there is no y-intercept in g(x) = −2x but the only graph that has y-intercept in given graph goes upward so that can't be answer.
g(x) = −2, x < −2
Answer:
YES. Because g(x) = −2 is a horizontal line which is only on the left side of x=-2. Graph of this part is present in given graph. So yes it is answer.
g(x) = x − 2, −2 < x < 1
Answer:
NO. Because g(x) = x−2 has y-intercept at y=-2 and slope 1 so that means graph of g(x)= x-2 must be going upward and crossing at y=-2 but there is no such graph. Hence this can't be answer.
g(x) = −2x + 6, x ≥ 1
Answer:
YES. Because g(x) = −2x+6 satisfies the graph which is going downward.
g(x) = x/2+ 1, –2 ≤ x < 1
Answer:
YES. Because g(x) = x/2+ 1 satisfies the graph which is going downward.
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