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KatRina [158]
2 years ago
7

Melissa makes 9 dollars

Mathematics
1 answer:
RideAnS [48]2 years ago
8 0
Knowing she makes $9 for each 1 hour, you know that if you'd need to find how much she made after 4 hours, you would do 9(4), giving you the answer of $36.
With this knowledge, you can replace the 4 with h.

9(h)=P

The reason why it's such a simple equation is because it's per hour and nothing else is being increased, decreased, or changed.

Hope this helps!
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A rhombus ABCD has AB = 10 and m∠A = 60°. Find the lengths of the diagonals of ABCD.
melisa1 [442]
Three important properties of the diagonals of a rhombus that we need for this problem are:
1. the diagonals of a rhombus bisect each other
2. the diagonals form two perpendicular lines
3. the diagonals bisect the angles of the rhombus

First, we can let O be the point where the two diagonals intersect (as shown in the attached image). Using the properties listed above, we can conclude that ∠AOB is equal to 90° and ∠BAO = 60/2 = 30°. 

Since a triangle's interior angles have a sum of 180°, then we have ∠ABO = 180 - 90 - 30 = 60°. This shows that the ΔAOB is a 30-60-90 triangle.

For a 30-60-90 triangle, the ratio of the sides facing the corresponding anges is 1:√3:2. So, since we know that AB = 10, we can compute for the rest of the sides.

\overline{OB}:\overline{AB} = 1:2
\overline {OB}:10 = 1:2
\overline{OB} = \frac{1}{2}(10) = 5

Similarly, we have

\overline{AO}:\overline{AB} = \sqrt{3}:2
\overline {AO}:10 = \sqrt{3}:2
\overline{AO} = \frac{\sqrt{3}}{2}(10) = 5\sqrt{3}

Now, to find the lengths of the diagonals, 

\overline{AD} = 2(\overline{AO}) = 10\sqrt{3}
\overline{BC} = 2(\overline{OB}) = 10

So, the lengths of the diagonals are 10 and 10√3.

Answer: 10 and 10√3 units

8 0
3 years ago
Examine number patters below 13,23,33,43,53
Bumek [7]

Answer:

The pattern is + 10.

Step-by-step explanation:

13 + 10 = 23

23 + 10 = 33

33 + 10 = 43

...and so on.

I hope this helped! :-)

7 0
3 years ago
Read 2 more answers
√58 what would be the answer to this?
Maru [420]

The square root of 58 is around 7.6

The entire number is, 7.61577310586...

8 0
1 year ago
Mark tossed six balls
Ivanshal [37]
Six balls fell back down
8 0
3 years ago
Read 2 more answers
Solve 2(4 x + 3) < 5 x + 21. { x | x < 9} { x | x > -5} { x | x > -9} { x | x < 5}
Nesterboy [21]

Answer:

x <5

Step-by-step explanation:

2(4 x + 3) < 5 x + 21

Distribute

8x +6 < 5x +21

Subtract 5x from each side

8x -5x +6 < 5x-5x+21

3x +6 < 21

Subtract 6 from each side

3x+6-6 <21-6

3x <15

Divide each side by 3

3x/3 <15/3

x <5

5 0
3 years ago
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