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likoan [24]
2 years ago
5

Friends have a party. Joyce invited 17 friends to a dinner party at her house last Friday

Mathematics
1 answer:
OLEGan [10]2 years ago
5 0

Answer:

15

Step-by-step explanation:

Joyce reserved number 1 for herself

Of all  the possible combinations,

1 and  15 is a perfect match for a perfect square

So,Joyce dinner partner was number 15.

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If the diameter of circle O is 20 and CE = 4, then determine the length of AB. Show how you arrived at your answer.
Aneli [31]

Answer:  Length of AB is 16 cm

Step-by-step explanation:

Given: Diameter of a circle is 20 cm and CE = 4 cm

Now as shown in figure AO, BO, CO are radii

\text { Radius } =\dfrac{\text {Diameter}}{2} = \dfrac{20}{2} = 10 cm

Therefore

AO=BO=CO= 10 cm

Now

OE = CO- CE  \Rightarrow OE= 10 -4 = 6 cm

Now in Δ OEB

∠OEB =90°

Therefore by Pythagoras theorem : In a right angle triangle the square of hypotenuse is equal to the sum of square of other two sides.

So we have

BO^2=BE^2+EO^2\\\\\Rightarrow 10^2= BE^2 +6^2\\\\\Rightarrow BE^2= 100-36\\\\\Rightarrow BE^2 = 64 \\\\\Rightarrow BE= 8 cm

Now as we know perpendicular to the chord from the center of a circle bisect the chord.

Therefore

AB= 2\times BE = 2\times 8=16 cm

Hence , the  length of AB is 16 cm .

8 0
3 years ago
What is the rational number equivalent to 3.12 repeating? 3 4/33, 3 8/33 ,3 10/33 ,3 5/33?
Schach [20]
3.12 = 3 4/33 (<span>3.12 repeating)</span>
hope it helps
5 0
3 years ago
Find three different ratios that are equivalent to ratio 3 : 11
Mnenie [13.5K]

Answer:

6:22

9:33

12:44

Step-by-step explanation:

Giben ratio 3:11

Multiplying by 2,

6:22

Multiplying by 3

9:33

Multiplying by 4

12:44

4 0
3 years ago
If the number of bacteria in a colony doubles every 100 minutes and there is currently a population of 1,500 bacteria, what will
nadya68 [22]
The population will be 6,000
7 0
3 years ago
StatTutor: Population versus sample Officials of a major university want to know what percent of their students recycle paper. T
love history [14]

Answer:

Whether the student recycle the paper or not.

Step-by-step explanation:

We are given the following in the question:

Officials of a major university want to know what percent of their students recycle paper.

A random sample of sample size 200 is taken.

We have to find the variable that is measure on each student of the sample.

Variable of measurement on each student:

Whether the student recycle the paper or not.

The student will reply a yes or no as an answer.

3 0
3 years ago
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