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UkoKoshka [18]
3 years ago
11

Which of these data sets is symmetrical?

Mathematics
1 answer:
Elanso [62]3 years ago
6 0

Answer:

c is the correct answer I'm pretty sure. it is equal to 32 when adding both sides

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Could you please answer Number 2? This is for geometry
katrin [286]
Answer: 108 degrees

============================================================

Explanation:

Angle ABC is given to be 90 degrees. By the converse of Thales Theorem, we know that AC is a diameter of the circle. 
If we draw a line from A to C, it will pass through the center of the circle.

Therefore, arc AC is 180 degrees as this is half the distance around the circle.

minor arc AD = 72
minor arc CD = x
(minor arc AD) + (minor arc CD) = arc AC
72+x = 180
72+x-72 = 180-72
x = 108

minor arc CD is 108 degrees
7 0
4 years ago
An insect is 3.5 millimeters long. Which expression finds the length of the insect in decimeters? Use the metric table to help a
rewona [7]

Answer:

The length of the insect in decimeters is: 0.035 decimeters

Step-by-step explanation:

The metric table help us to know:

1 decimeter =100 millimeters

To answer the question we need to know how many decimeters are 3.5 millimeters, so:

3.5 millimeters*\frac{1 decimeter}{100 millimeters}= 0.035 decimeters

The length of the insect in decimeters is: 0.035 decimeters

6 0
3 years ago
Read 2 more answers
Mani,James, and Isidro shared 1/2 of a pie. Which fraction of the whole pie did each of them receive?
bija089 [108]

Answer:

1/6

Step-by-step explanation:

\frac{1}{2}/3= 1/6

3 0
3 years ago
7/18 divided by 5/6. For a practice buddy
kenny6666 [7]

Answer:

0.46666666666

Step-by-step explanation:

i tried

7 0
3 years ago
The area of a right triangle is sixty square centimetres. Its base is one centimetre less than twice its height. If the base and
NemiM [27]

Answer:

5. None of the above

Step-by-step explanation:

We have this information:

A = 60 cm2

b = 2*h - 1

Let's find out b and h:

The equation of the are of a triangle is A = (b*h)/2, if we replace it with our information, we have

60 = ((2*h - 1) * h)/2\\ 120 = 2*h^2 - h\\ 0 = 2*h^2 - h - 120

Let's find h with the quadratic formula:

\fbox {Quadratic formula:}  \frac{-b\pm\sqrt{b^2-4ac}}{2a}

h = \frac{-(-1)\pm\sqrt{(-1)^2-4*2*(-120)}}{2*2} = \frac{1\pm\sqrt{961}}{4} = \frac{1\pm\ 31}{4}

h = 8 or h = -7.5

But h represents the height of the triangle, so it has to be a positive number, that's h = 8.

If we replace this in the equation we had for b, we have that b = 2*8 - 1 = 15.

Now we can calculate the hypotenuse with the Pythagorean equation  

\fbox {Pythagorean equation:} <em>The square of the length of the hypotenuse (the side opposite the right angle) of a right triangle is equal to the sum of the squares of the two legs (the two sides that meet at a right angle). </em>

The base and the height are our legs. We will use "H" for the hypotenuse

H^2 = b^2 + h^2 = 15^2 + 8^2 = 289\\ H = \sqrt {289} = 17

H = 17

If we decrease the base and the height by 2 centimeters, we have  

b' = 15 - 2 = 13 and h' = 8 - 2 = 6

With this, let's calculate the new hypotenuse:

H'^2 = b'^2 + h'^2 = 13^2 + 6^2 = 205\\ H' = \sqrt {205} \approx 14.3

H' \approx 14.3

So, the hypotenuse decreases H - H' \approx 17 - 14.3 = 2.7

3 0
3 years ago
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