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Naily [24]
3 years ago
5

Hanna lost 4 points on a test and earned 4 points on an extra-credit question​

Mathematics
1 answer:
laiz [17]3 years ago
4 0

Answer:

the total points earned and lose cancel eachother out to be 0. she did not lose any points

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Please help! acellus
ch4aika [34]

Answer:

The number that belongs <em>in</em> the green box is equal to 909.

General Formulas and Concepts:
<u>Algebra I</u>

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

<u>Trigonometry</u>

[<em>Right Triangles Only</em>] Pythagorean Theorem:
\displaystyle a^2 + b^2 = c^2

  • a is a leg
  • b is another leg
  • c is the hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given variables</em>.

<em>a</em> = 30

<em>b</em> = 3

<em>c</em> = <em>x</em>

<em />

<u>Step 2: Find </u><u><em>x</em></u>

Let's solve for the <em>general</em> equation that allows us to find the hypotenuse:

  1. [Pythagorean Theorem] Square root both sides [Equality Property]:
    \displaystyle \begin{aligned}a^2 + b^2 = c^2 \rightarrow c = \sqrt{a^2 + b^2}\end{aligned}

Now that we have the <em>formula</em> to solve for the hypotenuse, let's figure out what <em>x</em> is equal to:

  1. [Equation] <em>Substitute</em> in variables:
    \displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2}\end{aligned}
  2. <em>Evaluate</em>:
    \displaystyle \begin{aligned}c & = \sqrt{a^2 + b^2} \\x & = \sqrt{30^2 + 3^2} \\& = \boxed{ \sqrt{909} } \\\end{aligned}

∴ the hypotenuse length <em>x</em> is equal to √909 and the number <em>under</em> the square root, our answer, is equal to 909.

___

Learn more about Trigonometry: brainly.com/question/27707750

___

Topic: Trigonometry

3 0
2 years ago
Pre-image point N (6,-3) was dilated to point N(2,-1) What was the scale factor used?
tangare [24]
Answer:
The scale factor is 1/3

Explanation:
Given that the original point is has coordinates (x,y) and that the dilated point has coordinates (x',y'), we can see that:
x' = k * x
y' = k * y
where k is the scale factor

Now, for the given point we have:
original point = (6 , -3)
dilated point = (2 , -1)
Now, applying the above formula, we will find that:
For x-coordinate:
2 = k * 6
k = 2/6
k = 1/3
Check using the y-coordinate:
-1 = k * -3
k = -1 / -3
k = 1/3

From the above, we can confirm that:
k = 1/3

Hope this helps :)
3 0
3 years ago
Help please and why
Zarrin [17]
A hopes that helps
Because with you divided 16 1.25
8 0
3 years ago
Can someone help with these 2 questions of percent increase and decrease? thanks!
Lady bird [3.3K]

Answer:

15. -42  16.13

Step-by-step explanation:

For positive numbers Absolute change (actual difference) = Percentage increase and For positive numbers Absolute change (actual difference) =

- 1 × Percentage decrease

5 0
2 years ago
Read 2 more answers
At a local department store, sweaters are typically priced at $25. Due to a special, the sweaters are reduced to 80% of their or
WITCHER [35]
Multiply 25 by .80 and subtract that number from $25.
25x0.80= 20. 25-20= $5
Hope I helped!
4 0
4 years ago
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