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kati45 [8]
3 years ago
12

Mr.Hamilton gave out 15 coupons per hour at the appliance show. After 2 days at the show, working 14 hours total, how many coupo

ns did he distribute?
Mathematics
1 answer:
Lapatulllka [165]3 years ago
7 0
Me Hamilton gave 210 coupons two days is throw you off because total was 24 so 14 times 15
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The<br> What is the slope of the line?
Shtirlitz [24]

Answer:

-1

Step-by-step explanation:

Slope is calculated with the general equation \frac{x_{2}-x_{1} }{y_{2}-y_{1}} where you compare the difference between two sets of data points on the slope.

I will use the points (-2, 0) and (0, -2).

\frac{-2-0{} }{0-(-2){}}

This gives us -2/2 or a slope of -1

3 0
3 years ago
Do 5/3 and 30/18 form a proportion?
Vitek1552 [10]

Answer:

yes

Step-by-step explanation:

5x6=30

3x6=18

7 0
3 years ago
Solve for x, if a solution is extraneous identify in the final answer. thx :)
Fantom [35]

Answer:

x = 6 and x = 11.

Step-by-step explanation:

sqrt(x - 2) + 8 = x

sqrt(x - 2) = x - 8

(sqrt(x - 2))^2 = (x - 8)^2

x - 2 = x^2 - 16x + 64

x^2 - 16x + 64 = x - 2

x^2 - 17x + 66 = 0

We can use the discriminant to find whether there are solutions to the equation.

b^2 - 4ac; where a = 1, b = -17, and c = 66.

(-17)^2 - 4 * 1 * 66

= 289 - 264

= 25

Since the discriminant is positive, we know there are two valid solutions to the equation.

x^2 - 17x + 66 = 0

(x - 6)(x - 11) = 0

The solutions are when x - 6 = 0 and x - 11 = 0.

x - 6 = 0

x = 6

x - 11 = 0

x = 11

Hope this helps!

8 0
3 years ago
Read 2 more answers
Find cos θ given that cos 2θ = 5/6 and 0 ≤ θ &lt; π/2. Give an exact answer
trasher [3.6K]
\bf \textit{Double Angle Identities}&#10;\\ \quad \\&#10;sin(2\theta)=2sin(\theta)cos(\theta)&#10;\\ \quad \\&#10;cos(2\theta)=&#10;\begin{cases}&#10;cos^2(\theta)-sin^2(\theta)\\&#10;1-2sin^2(\theta)\\&#10;\boxed{2cos^2(\theta)-1}&#10;\end{cases}&#10;\\ \quad \\&#10;tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\\\\&#10;-------------------------------\\\\&#10;

\bf cos(2\theta)=\cfrac{5}{6}\implies 2cos^2(\theta)-1=\cfrac{5}{6}\implies 2cos^2(\theta)=\cfrac{5}{6}+1&#10;\\\\\\&#10;2cos^2(\theta)=\cfrac{11}{6}\implies cos^2(\theta)=\cfrac{11}{12}\implies cos(\theta)=\pm\sqrt{\cfrac{11}{12}}


now, bear in mind, the square root gives us +/- versions, so, which is it? well, we know the angle is in the range of "<span>0 ≤ θ < π/2", that simply means the 1st quadrant, so, we'll use the positive one then

</span>\bf cos(\theta)=\cfrac{\sqrt{11}}{\sqrt{12}}\implies cos(\theta)=\cfrac{\sqrt{11}}{2\sqrt{3}}&#10;\\\\\\&#10;\textit{now, let's rationalize the denominator}&#10;\\\\\\&#10;\cfrac{\sqrt{11}}{2\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{\sqrt{11}\cdot \sqrt{3}}{2\sqrt{3^2}}\implies \cfrac{\sqrt{11\cdot 33}}{2\cdot 3}\implies \boxed{\cfrac{\sqrt{33}}{6}}<span>
</span>
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4 years ago
Which group of numbers is listed from greatest to least?
jonny [76]
1st group it’s obvious the numbers go from small to big
8 0
3 years ago
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