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aleksandrvk [35]
4 years ago
10

In circle k, what is the value of x? A: 18 B: 20 C:36 D:90

Mathematics
1 answer:
mixer [17]4 years ago
8 0

If a triangle is inscribed in a circle such that one side of that triangle is a diameter of the circle, then the angle of the triangle that is opposite the diameter is a right angle.

Therefore we have the equation:

5x = 90      <em>divide both sides by 5</em>

x = 18

<h2>Answer: A: 18</h2>
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X=-y+3,3x-2y=-1 use substitution to solve the equation
4vir4ik [10]

Answer:

{x,y} = {1,2} I believe <3

Step-by-step explanation:

4 0
3 years ago
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What’s 5.03 in simplest form
kondaur [170]

Answer:

5 3/10

Step-by-step explanation:

To simplify this decimal you need to convert it to a fraction

You get 503/100 since the decimal is in the hundredths place so its over 100

You can leave it as an improper fraction or convert it to a mixed number by dividing 503/100 which will get you 5 3/10.

8 0
3 years ago
Two fractions are given. For each one, write its decimal equivalent and determine if the decimal is terminating or non terminati
ziro4ka [17]

Answer:

9/20 yes, 4/15 not. See below

Step-by-step explanation:

Pick 9/20 and multiply numerator and denominator by 5:

9/20 = 45/100

We know that if we divide a number by 100 we need to move the coma as two places left, so:

9/20 = 45/100 = 0.45

And this is a terminal decimal as we know where it ends.

On the other hand if we pick 4/15 let try to divide it (here I will do it 'manually'):

4 |_ 15

we can divide 4 by 15, so we use 40 and begin with a comma

40 |_ 15

      0.

15 enters 2 times in 40 with a rest of 10, so:

40 |_ 15

  30  0.2

  100

100 divided by 15 is 6 and we have 10 as rest again, and again and again...

40 |_ 15

  30  0.266.....

  100

    100

      ....

So, we will have 0.266666666666666 infinitely. The decimal for 4/15 is non terminating and is 0.26666666666666666...

6 0
3 years ago
The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing
tester [92]

The length of pendulum is 2.485 feet

<h3><u><em>Solution:</em></u></h3>

Given that,

The formula T= 2pi sqrt(L/32) relates the time, T, in seconds for a pendulum with the length, L, in feet, to make one full swing back and forth

<u><em>Therefore, the given formula is:</em></u>

T=2\pi \sqrt{\frac{L}{32} }

We have to find the length of pendulum that makes one full swing in 1.75 seconds

So the modify the given equation to find "L"

T=2\pi \sqrt{\frac{L}{32} }\\\\ \sqrt{\frac{L}{32} }=\frac{T}{2 \pi}\\\\\text{Taking square root on both sides }\\\\\frac{L}{32} = \frac{T^2}{4 \pi^2}\\\\L = \frac{T^2}{4 \pi^2} \times 32\\\\L = \frac{T^2}{\pi^2 } \times 8

Substitute T = 1.75 seconds and \pi = 3.14

L = \frac{1.75^2}{3.14 \times 3.14} \times 8\\\\L = \frac{3.0625}{9.8596} \times 8\\\\L = 2.485

Thus length of pendulum is 2.485 feet approximately

7 0
4 years ago
Robin has a table full of supplies that she will use to decorate picture frames. She decorated one frame with 3 buttons and 12 b
zvonat [6]
She could use anything, but it would have to consist of 3:12, so maybe like 3 flowers and 12 beads? As long as it is 3 and 12 of something, she is fine. 
3 0
3 years ago
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