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yaroslaw [1]
2 years ago
11

Which decimal is greater: 0.347 or 0.437?

Mathematics
1 answer:
trapecia [35]2 years ago
5 0

Answer:

0.437

Step-by-step explanation:

Decimals are read the same as whole numbers, starting with the first digit, which is the largest, to the right. So, to find the larger decimal you need to look at the first digit. If this digit is the same then continue to the right until there is a difference in the number. In this case, the first digit is different. Therefore, whichever has the larger first digit must be the greater one. Since 4 > 3, 0.437 must be greater than 0.347.

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can someone explain the proses of solving this? I don't need the answer but a step-by-step explanation would be super helpful!
Klio2033 [76]

Part 1

Focus on triangle ABC.

Since AB is a diameter of the circle, this means angle ACB is 90 degrees. Refer to Thale's Theorem. Or you could use the inscribed angle theorem. Thale's theorem is a special case of the inscribed angle theorem.

Minor arc CB is 48 degrees. Use the inscribed angle theorem to see that angle CAB is 48/2 = 24 degrees.

Therefore, angle CBA = 90 - (angle CAB) = 90 - 24 = 66 degrees

<h3>Answer: 66</h3>

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

Part 2

Inscribed angle CBA was found to be 66 degrees back in part 1.

This doubles to 132 degrees to represent minor arc AC.

Or you could note that:

minor arc AC = 180 - (minor arc CB) = 180 - 48 = 132

Inscribed angle BCD is 48 degrees. This doubles to 96 degrees when using the inscribed angle theorem, and this is the measure of minor arc CBD.

-----------

Here's what we know about the arc measures of the circle

  • minor arc AC = 132 degrees
  • minor arc CB = 48 degrees
  • minor arc BD = 96 degrees

These three arcs, along with minor arc AD, will add up to get a full 360 degree circle. Check out the diagram below.

Adding those 3 pieces gets us 132+48+96 = 276

This means minor arc AD has to be 360 - 276 = 84 degrees

Then use the inscribed angle theorem one more time to divide the minor arc AD in half to get the inscribed angle ACD

84/2 = 42

<h3>Answer:  42</h3>

6 0
2 years ago
Gabriela is 4 times as old as Vanessa. 10 years ago, Gabriela was 9 times as old as Vanessa. How old is Vanessa now?
Rus_ich [418]
Vanessa is 16. When she was 6, he was 54, ten years later he's 64 and she's now 16.
5 0
3 years ago
School x and y are in a comepetition. School x has 8 more points than school y and 3 times more points as school y . How many po
lara [203]

Answer:  School Y has 4 points and School X has 12 points.

Explanation:

Let the number of points School Y has be x

Let the number of points School X has be 3x

According to question, we get

3x-x=8\\\\2x=8\\\\x=\frac{8}{2}\\\\x=4

So, the number of point School Y has 4.

and number of points School X has

3x=3\times 4=12

Hence, School Y has 4 points and School X has 12 points.



6 0
3 years ago
What is the value of
vladimir1956 [14]
The answer is x = -19

Solution:

9(x + 1) = -162

Expand:

9x + 9 = -162
9x = -162 - 9
9x = -171
x = -171/9
x = -19
6 0
2 years ago
Write the equations for the basic absolute value equation y=|x-h|+k under the given transformations:
BlackZzzverrR [31]
<span>Left & Right affect the h,
Up & Down affect the k,
Shrink & Stretch affect the "a" (which is in front of the absolute value expression).

1. shift 1 unit to the right and up 2 units → y = |x-1| + 2
2. </span><span>shift 3 units to the left and 7 units down → y = |x + 7| - 7
3. </span><span>vertical shrink by a factor of 1/3 → y = \frac{1}{3}|x|
4. </span><span>vertical stretch by a factor of 3 → y = </span><span>3 |x|</span>
5 0
3 years ago
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