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hammer [34]
3 years ago
13

If the length of AB is 10 cm from the center and has a length of 12, find the approximate length from the center to CD.​

Mathematics
1 answer:
Lynna [10]3 years ago
4 0

<u>Given</u>–

AB = 12 Cm

CD = 14 Cm

PO = 10 Cm

AP = 1/2 × 12 = 6 Cm

<u>Construction</u>–

Draw NO such that it is the perpendicular bisector of CB.

Hence,

ND = 1/2 × 14 = 7 Cm

To Find,

Measure of NO

<u>Solution</u>,

Here, PO Perpendicular to AB

Hence, APO is a right-angled triangle–

AO² = PO² + AP²

Or, AO² = 10 ² + 6 ²

Or, AO² = 36 + 100

Or, AO = √136 Cm

Or, AO = 11.66 Cm

Also, AO = OD = 11.66 Cm

( Radius of the same circle )

Now, in triangle OND,

OD² = ON² + ND ²

Or, 11.66 ² = ON² + 7²

Or, 136 = ON² + 49

Or, ON ² = 136 – 49

Or, ON ² = 87

Or, ON ² = √87

Or, ON = 9.3 Cm

Therefore, the appropriate length from center to CD is 9.3 Cm.

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3 years ago
During the World Series the host Citywide Hotel a occupancy Rose 21% over the prior busiest night if the busiest night had been
Natalka [10]

Answer:

The new record was 91.96%.

Step-by-step explanation:

As per the given statement: During the World Series the host Citywide Hotel a occupancy Rose 21% over the prior busiest night if the busiest night had been 76% occupancy.

To find the new record of occupancy.

We will find the 21% of 76% and then added it to 76%.

\text{New record} = \text{old record} + \text{Increase in record}

New record = 76\% +(21\% \times 76\%)

New record = \frac{76}{100} +(\frac{21}{100}\times \frac{76}{100})

New record = 0.76 + (0.21 \times 0.76) = 0.76 + 0.159 = 09196

Convert this decimal number into percentage by just multiplying a number by 100 we get;

New record = 0.9196 \times 100 = 91.96\%

Therefore, the new record was 91.96%


4 0
3 years ago
24 of what percent of 120
stiks02 [169]
24 is 2% of 120. It’s not that hard
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4 years ago
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8 0
3 years ago
6) Select the best method to solve the system.
Andrew [12]

Answer:

Elimination

x=-5 and y=-8

Step-by-step explanation:

-(5x-4y=7) <--- Multiply by a negative so that y can cancel out

4x-4y=12

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3 years ago
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