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Lunna [17]
3 years ago
15

There are 3 red and 9 blue counters in a box. A counter is chosen and then replaced. If you did this 144 times, how many times w

ould you expect to get a blue?
Mathematics
1 answer:
anygoal [31]3 years ago
3 0
If you do it 144 times that is (3+9)*12
This means that 12 times 3 red and 9 blue counters will be chosen that means that 9 blue counters will be chosen 12 times. 9*12 is 108.
This means blue counters will be chosen 108 times.
This can be checked as 108/3 would give you the number of red counters which is 36 and 108+36 is 144 

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The area of a circle is 80.86cm2.<br> Find the length of the radius rounded to 2 DP.
weeeeeb [17]

Answer:

Solution given:

The area of a circle =80.86cm²

we have:

The area of a circle =πr²

substituting value of area of circle we get

80.86cm=3.14*r²

dividing both side by 3.14

80.86/3.14=3.14*r²/3.14

25.75=r²

doing square root on both side

\sqrt{25.75}=\sqrt{r²}

r=5.07cm

<u>The</u><u> </u><u>length</u><u> </u><u>of</u><u> </u><u>radius</u><u> </u><u>is</u><u> </u><u>5</u><u>.</u><u>0</u><u>7</u><u>cm</u>

5 0
3 years ago
Please help thank you
Gemiola [76]
Question 1:

This is a 45-45-90 right triangle. If the leg length is x, then the hypotenuse length will be x \sqrt{2}.

The leg length of this 45-45-90 right triangle is 8. Multiply that with the square root of 2. You get 8 \sqrt{2}. Thus, the last choice is your answer.

Question 2:

This triangle can be identified as a 30-60-90 right triangle.
Let's say the smallest leg as a length of x.
Then, the longer leg will have a length of x \sqrt{3}.
Also, the hypotenuse will have a length of 2x

This triangle follows this format, making it a 30-60-90 right triangle. Thus, the angles are 30, 60, and 90.

Hope this helps! :)
5 0
3 years ago
A team of scientists estimate the current number of butterflies in a park to be 20 thousand. The butterfly population is expecte
lesantik [10]
C. seems more plausible
3 0
3 years ago
Would the answer be 36?
umka2103 [35]

Answer:

No, it would be 72

Step-by-step explanation:

In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)

Pls give brainliest

6 0
3 years ago
The cost of hiring a taxi consists of a fixed cost of $3 plus $0.5 per kilometer distance travelled. Write an expression in term
irinina [24]

Answer:

The required expression is:

  • y = 0.5x + 3

Please check the attached graph too.

Step-by-step explanation:

The slope-intercept form of the linear or line function

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

In our case,

The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.

Thus, the y-intercept b = 3

It is stated that the cost of per kilometer distance = $0.5

Thus, the rate of change or slope m = 0.5

As y represents the cost and x represents the number of kilometers.

so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function

y = mx+b

y = 0.5x + 3

Thus, the required expression is:

  • y = 0.5x + 3

Please check the attached graph too.

5 0
3 years ago
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