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RideAnS [48]
3 years ago
6

$121.50 for working 18 hour shift? unit rate

Mathematics
1 answer:
yanalaym [24]3 years ago
4 0
To find the unit rate, divide 121.5/18

121.5/18 = 6.75

The unit rate is $6.75
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Find x.<br><br> See attached picture.
pishuonlain [190]

Answer:

B. 22

Step-by-step explanation:

We know tan60=

\sqrt{3}

Let common side be x

Tan = opp/adj= sqrt(3)

\frac{11 \sqrt{6} }{x}  =  \sqrt{3}

Transposing we get :

\frac{11 \sqrt{6} }{ \sqrt{3}}  = x = 11 \sqrt{2}

Now, we know that since the other triangle is a 45-45-90 triangle, we can state that the side adjacent to the given angle = 11 sqrt(2) as the two sides are equal due to the triangle being an isoceles triangle.

Solve for x by using Pythagorean theorem:

\sqrt((11 \sqrt{2}^{2}   + (11 \sqrt{2} )^{2} ) = x

=  > \sqrt{2(11 \times 11 \times  \sqrt{2}  \times \sqrt{2}) }  = x

=  >  \sqrt{484}  = x = 22

Hence answer is B. 22

3 0
2 years ago
Melissa's family is on vacation.they spend $125 per day on food and entertainment.they have a budgeted only up to $750 for food
jeyben [28]

Melissa's family can afford <u>6</u><u> </u><u><em>days of vacation</em></u><u>.</u>

Reason:

You need to divide the budget by the money they spend everyday.

$750 ÷ $125 = <u>6 </u><u><em>days that the family can afford to pay for vacation.</em></u>

Hope this helps you!

7 0
3 years ago
If the discriminant is 16 in a quadratic equation what is true about its solutions
olganol [36]
If the discriminant is a positive number, there will be 2 possible solutions. If you replace the entire section of b²-4ac with 16, you will see that the equation becomes; (-b+-√16)/2a --> leading to an answer with the + and another with the -. 

If the discriminant is 0, there will be 1 possible solution, (again replace this into the discriminant value) (-b)/2a ---> this formula is used to also find the x coordinates of a vertex, fyi. 

If the discriminant is a negative number, there will be no solution (since squareroot of a negative number is not possible) 

Hope I helped :) 
8 0
3 years ago
Add and simplify 9/16 plus 1/2
Hitman42 [59]
= 9/16 + 1/2
convert 1/2 to same denominator as 9/16

= 9/16 + 8/16
add numerators

= (9+8)/16

= 17/16
convert to mixed number

= 1 1/16


ANSWER: 1 1/16

Hope this helps! :)
4 0
4 years ago
Read 2 more answers
Please help!!!!!!!!!!!!!!!!!!!!
givi [52]

Answer:

4. alternate exterior angles

5. 4.5

8 0
3 years ago
Read 2 more answers
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