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ioda
3 years ago
14

If six times the measure of an angle is decreased by 21°, the result is the same as when four times the measure of the angle is

increased by 11°. What is the measure of the angle?
Mathematics
1 answer:
AveGali [126]3 years ago
4 0

Answer:

16 degrees

Step-by-step explanation:

let the angle be 'x'

so, we can equate the given statements as:

6x - 21 = 4x + 11

6x - 4x = 11 + 21

2x = 32

x = 32/2 = 16 degrees

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.At Phil’s work, there are 12 part-time workers and 18 full-time workers. What is the ratio of part-time workers to total worker
Scrat [10]

Answer:

  2/5

Step-by-step explanation:

The desired ratio is ...

  (part-time)/(total) = (part-time)/((part-time) +(full-time)) = 12/(12+18)

  = 12/30 = 2/5

The ratio of part-time workers to total workers is 2 : 5.

7 0
3 years ago
A candle maker has rectangular block of paraffin that is 4 centimeter high by 8 centimeter long by 6 centimeter wide. He melts i
Veronika [31]

Answer:

The candle will not use all the paraffin from the original block.

Step-by-step explanation:

The cone-shaped candle is 5 cm wide at the base i.e. the diameter of the base is 5 cm i.e. radius is 2.5 cm.

If the height of the cone is 25 cm, then total volume of the cone shaped candle is  

\frac{1}{3}\pi  r^{2} h

= \frac{22 \times 2.5^{2} \times 25 }{3 \times 7}

= 163.69 cubic cm.

Again, the volumes of the rectangular block of paraffin is (4 × 8 × 6) = 192 cubic cm.

Since, 192 > 163.69

Therefore, the candle will not use all the paraffin from the original block.

5 0
3 years ago
Complete the table shown to the right for the population
Bas_tet [7]

Answer:

2,1

Step-by-step explanation:

5 0
3 years ago
sarosh receives 8% commission on the final price of the clothing he sells . a customer bought a $45.00 coat the was marked 20% o
BartSMP [9]

Answer:

$8.2

Step-by-step explanation:

The final price of the coat = $45 -0.2 * $45 = $36

The final price of the suit = $95 − 0.3 * $95 = $66.5

sarosh's commission = 0.08 * ( $36 + $66 ) = $8.2

5 0
3 years ago
Please answer right away
Delicious77 [7]

Answer:

independent

Step-by-step explanation:

Since no one else answered,  figured you wouldn't mind if I do. :-), and you didn't use any CAPS.

How those two events (even and greater than 9) relate?

independent: YES. Can one happen without the other?  Certainly.  You see (1,1) is an even number that  is not greater than 9.  Equally, you see (6,5) which is greater than 9, but is not an even number.

inclusive: No, since  there's a least one case where a pair number is not greater than 9.  The opposite is also true... at least 1 number > 9 that is not even.

Mutually exclusive: No, since there numbers that are even AND greater than 9 (6,4) for example.

Conditional: No. Does one need the other to happen?  Absolutely not.

5 0
3 years ago
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