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natima [27]
3 years ago
13

Find the missing side round to the nearest tenth can someone please help me this is my last question

Mathematics
1 answer:
jeka57 [31]3 years ago
8 0

The question is related to trigonometric ratio rule .

In the given diagram, there is a right angle triangle, with adjacent =57, and the unknown side is y. Given angle measurement is 39 .

To find the measurement of y, we will use tan rule which is

tan \Theta = \frac{opposite}{adjacent}

tan 39=\frac{y}{57}

y = 57 tan 39 = 46.2

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3 years ago
What is the smallest 6 digit palindrome that is divisible by 99
Scorpion4ik [409]

Answer:

  • 108801

Step-by-step explanation:

<u>6-digit palindrome is the number n the form of:</u>

  • xyzzyx

<u>This is divisible by 11 by default as the sum of the digits in odd placed is same as sum of the number in even places (remember the divisibility rule by 11):</u>

  • x + z + y = y + z + x

Now, in order to be divisible by 99, the number must be divisible by 11 and 9.

According to divisibility rule by 9 the sum of all digits must be divisible by 9. <u>You can see In our case we need to have (the minimum):</u>

  • x + y + z = 9

<u>The smallest number we could get is when x is minimum, y is minimum, so:</u>

  • x = 1, y = 0, then y = 8

<u>The number we get is:</u>

  • 108801

<u>Proof:</u>

  • 108801/99 = 1099
4 0
3 years ago
Read 2 more answers
How to divide 90 divided by 15
MakcuM [25]

Answer:

6

Step-by-step explanation:

90/15 and then i put enter and it gives me 6

3 0
3 years ago
Parker is working two summer jobs, making $11 per hour lifeguarding and $22 per hour tutoring. Last week Parker worked a total o
damaskus [11]

Answer:

10 hours lifeguarding, 6 hours tutoring

Step-by-step explanation:

As you know how long he worked and how much he earned, it's worth seeing how many hours it would have been had he worked just tutoring or just lifeguarding.

$242 / 11 = 22 hours if it was just lifeguarding

$242 / 22 = 11 hours (as it's exactly double the wage) if it was just tutoring

We now know that he worked some combination of both

Calculating his average wage can help work out which he worked more of:

$242 / 16 = 15.125

That means Parker's average hourly wage was 15.125 which is closer to 11 than 22 (16.50 would mean an exactly even split between the two) so he did more hours lifeguarding than tutoring so more than 8 hours.

What I then do is consider the variations that could work:

9 (lifeguarding) and 7 (tutoring) = 99 + 154 = 243

So we're almost exactly there straight away, but not quite so...

10 and 6 = 110 + 132 = 242

There you have it.

8 0
3 years ago
Read 2 more answers
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