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Dmitry [639]
1 year ago
10

Sally and John are siblings.

Mathematics
1 answer:
Gennadij [26K]1 year ago
8 0

Answer:

john is 19

and sally is 23

Step-by-step explanation:

correct me if wrong but that's my own answer

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A sector of a circle has an arc length of π cm and a central angle of π/6 radians. What is the area of the sector?A. 3π cm²B. 2π
inn [45]

Our problem involves the properties and formulas involving a sector.

A sector is a part of a circle it is like a slice of a pie or a cake.

To find the area of a sector we must have its central angle and radius. But in our problem, the central angle is given but there is no sign of radius being given. So first we have to find the radius of our circle.

To find the radius of our circle we can use the given Arc length of the circle. An Arc Length of a Circle (S) is given by the formula:

S=\theta r

Where S is the arc length, θ is the Central angle in radians, and r is the raduis. Since we already have a value for S and θ. We can now find the value of r, or the radius.

\begin{gathered} S=\theta r \\ \pi=\frac{\pi}{6}(r) \\ 6\pi=\pi r \\ 6=r \end{gathered}

Therefore we now know that the radius of the circle is 6 cm.

Now that we know the radius of the circle we can now find its area using the formula:

A=\frac{\theta r^2}{2}

Where A is the area, θ is the central Angle, and r is the radius.

\begin{gathered} A=^{}\frac{\theta r^2}{2} \\ A=\frac{(\frac{\pi}{6})(6)^2}{2} \\ A=\frac{\pi6}{2} \\ A=3\pi \end{gathered}

Therefore the answer is 3π cm². Which is OPTION A.

5 0
2 years ago
The line segment joins the complex numbers
wolverine [178]
In the pictured graph, the X axis is labeled as real Axis and the Y axis is labeled as Imaginary axis.

The letter i after a number is considered an imaginary number.
 So in the given numbers 2 +2i the w is the real number and 2i is the imaginary number, which is located at the dot labeled B.

-1 +3i, -1 is the real number and 3i is the imaginary number, which is located at the dot labeled A.

Line Segment AB is the correct answer.




8 0
4 years ago
A group of students and workers entering a metro station were asked whether they were riding the bus or the subway. The two-way
BaLLatris [955]
Because this is a two-way table, the answer would be that 166 people were polled in total. Why? Well, there are lots of corresponding patterns leading up to this answer. We can easily find the answer by looking at the problem two different ways:

1st way: Identifying the missing solution by rows.

27 + 21 = 48 and 42 + 76 = 118, so we can find the missing value by adding 69 and 97 to get 166.

2nd way: Identifying the missing solution by columns.

27 + 42 = 69 and 21 + 76 = 97, so we can find the missing value by adding 48 and 118 to get 166, our missing solution.

Your final answer: 166 people were polled. Your answer would be D. If you need to better understand this, let me know and I will gladly assist you.
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2 years ago
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Gwar [14]

What do you mean? What’s the question?

7 0
2 years ago
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The marks of a student of a class are given below78, 11,99,63,94,78,36,22<br>Range of mark is​
creativ13 [48]

Answer:

88

Step-by-step explanation:

arrange the marks in ascending order

range = highest value - lowest value

= 99 - 11

= 88

3 0
3 years ago
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