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HACTEHA [7]
3 years ago
9

two arcs of concentric circles are intercepted by the same central angle. the resulting arc length of the arc of the larger circ

le is 16 m and the radius of the smaller circle is 7.5 m. find the length of the corresponding arc of the smaller circle

Mathematics
1 answer:
Bond [772]3 years ago
3 0
the complete question in the attached figure

Let
A°-----------> <span>the same central angle

</span><span>For the larger circle
length of larger circle=2*pi*r-------> 2*pi*12-----> 75.36 m

360</span>°<span> (full circle) has a length of------------> 75.36 m 
 A</span>°-----------------------------------> 16 m
A°=(16)*360/75.36--------> A=76.43°

For the smaller circle
length of smaller circle=2pi*r-------> 2*pi*7.5-----> 47.1 m

360° (full circle) has a length of------------> 47.1 m 
 76.43°-----------------------------------> X
X=76.43*47.1/360-----> X=10 m ----> length arc of the smaller circle

the answer is
the length arc of the smaller circle is 10 m

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elena-s [515]

Answer:

7.92% probability that a particular death is due to a traffic accident

Step-by-step explanation:

The relative frequency approach to find the probability that a particular death is due to a traffic accident is the number of deaths due to traffic accidents divided by the total number of deaths.

We have that:

624 deaths from traffic accidents

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So

p = \frac{624}{7883} = 0.0792

7.92% probability that a particular death is due to a traffic accident

8 0
3 years ago
Please help me with this and dont play around pls
Kisachek [45]

Answer:

Improper fraction = 14/5

Step-by-step explanation:

You see on the fraction strip there Is 14 out of the 15 parts colored in. So out of that answer you can tell the improper fraction would be 14/5 and the mixed number would be 2 4/5.

Hope this Helps!

5 0
2 years ago
Read 2 more answers
Figure ABCDE has vertices a(-3, 3), b(2, 3), c(5, -2), d(0, -3), and e(-3, -2). Plot the points on your own coordinates grid and
Ilya [14]
<h2>Answer:</h2>

Shown below

<h2>Step-by-step explanation:</h2>

First of all, we have the following points:

a(-3, 3) \\ \\ b(2, 3) \\ \\ c(5, -2) \\ \\ d(0, -3) \\ \\ e(-3, -2)

To plot these points, we need to graph a coordinate grid. Recall that a coordinate grid is composed of two perpendicular lines, that we call the axes and are labeled like number lines. The horizontal axis is called the x-axis while the vertical axis is called the y-axis, and these two axes intersect at a point called the origin. Next, let's plot each point as follows:

<h2>PART 1. Plot the points on your own coordinates grid and connect in alphabetical order. </h2><h2></h2>

Point a:

Let's stand at the origin and then move three units to the left and three units up. The resulting point is shown in the firs figure below.

Point b:

Let's stand at the origin and then move two units to the right and three units up. The resulting point is shown in the firs figure below.

Point c:

Let's stand at the origin and then move five units to the right and two units down. The resulting point is shown in the firs figure below.

Point d:

Let's stand at the origin and then move three units to down. The resulting point is shown in the firs figure below.

Point e:

Let's stand at the origin and then move three units to the left and two units down. The resulting point is shown in the firs figure below.

Next, let's connect connect the points in alphabetical order, so that the line are connected from a to b, from b to c, from c to d, from d to e and from e to a again. So the resulting graph is shown in the second figure. As you can see, this is an irregular pentagon.

<h2>PART 2. Decompose figure ABCDE into rectangles and triangles.</h2>

Every pentagon can be divided up into three triangles. Hence, from the third figure. the triangles are:

ΔABE

ΔBDE

ΔBCD

Since a rectangle is a quadrilateral whose angles are all right angles, then there is no chance to obtain a rectangle from ABCDE. To obtain a rectangle, we'd need other points and this is not what the problem asks.

5 0
3 years ago
How do i find the solution or can you help me find it please
Verizon [17]

remember, you can do anything to an equation as long as you do it to both sides


we can do a subsitution

y=x+6

y=-7x-10

since y=x+6, we can subsitute x+6 for y in the other equation

y=-7x-10

x+6=-7x-10

add 7x to both sides

8x+6=-10

minus 6 from both sides

8x=-16

divide both sides by 8

x=-16/8=-2


the valu eof x that satisfies both equations is x=-2

8 0
3 years ago
Read 2 more answers
Can someone please help me , i’ll give you brainliest
monitta

Answer:

Option D vertical angles is your answer ☺️☺️

8 0
3 years ago
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