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m_a_m_a [10]
3 years ago
8

Need help with explanation will give brain list

Mathematics
1 answer:
Kruka [31]3 years ago
7 0

Answer:

Option 4: 12.7

Step-by-step explanation:

You can look at the diagram as two 45º45º90º triangles.

By the properties of a 45º45º90º triangle:

OW=WL=a

OL=a√2

a√2 = 18

a=18/√2a≈12.728

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The Hogwarts Express train has reduced its one-way fare from 360 galleons to just 270 galleons. What is the percentage decrease
Likurg_2 [28]
<h3>Answer:   25% decrease</h3>

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

Work Shown:

A = old value = 360

B = new value = 270

C = percent change

C = (B-A)/A

C = (270-360)/360

C = -90/360

C = -0.25

C = -25%

The negative C value indicates we have a percent decrease.

Note how 25% of 360 = 0.25*360 = 90, meaning that the price has dropped by 90 galleons. And also note that 360-270 = 90 is that same figure of 90. This helps confirm the answer.

4 0
3 years ago
Find the area of a triangle if the base is 8.2 m and the height is 4.6 m. (A=1/2bh)
Tcecarenko [31]

Answer:

18.86

Step-by-step explanation:

8.2 x 4.6 = 37.72

37.72/2 = 18.86

5 0
3 years ago
Read 2 more answers
(100 Points) Given f of x is equal to 10 divided by the quantity x squared minus 7x minus 30, which of the following is true?
ikadub [295]

Answer:

f(x) is positive for all x > 10

Step-by-step explanation:

Given function:

f(x)=\dfrac{10}{x^2-7x-30}

<u>Asymptote</u>

Asymptote: a line which the curve gets infinitely close to, but never touches.

Factor the denominator of the function to find the vertical asymptotes:

\implies x^2-7x-30

\implies x^2-10x+3x-30

\implies x(x-10)+3(x-10)

\implies (x+3)(x-10)

Therefore:

f(x)=\dfrac{10}{(x+3)(x-10)}

The function is undefined when the denominator is equal to zero.

Therefore, there are vertical asymptotes at x = -3  and  x = 10
and a horizontal asymptote at y = 0

f(x) is positive for (10, ∞)

f(x) is negative for (-3, 10)

f(x) is positive for (-∞, -3)

4 0
2 years ago
Read 2 more answers
I just need a little help on this ??! Please.
lawyer [7]

1. Since it's m - 7 you would have 7 to both sides so you would in fact have m < 13. If you double check your answer, you see that if m is say 12 (because 12 is obviously less than 13), 12 - 7 < 6

2. Again, use the same process on this problem as the first one. Add 8 to each sides because it's you're subtracting 8 from n. So you end up with n > 13. Check your answer. Say n is 14. 14 - 8 > 5

3. This one is different because you are adding 5 to p. So in order to get p by itself, you need to subtract 5 from both sides. p < 5. Say p is 4, 4 + 5 < 10.

When working with problems like these, you need to isolate the variable on one side and get it by itself.

5 0
3 years ago
Paul has a number of counters two less than seven
valentinak56 [21]
The answer is 5 cause two less then 7 is 5.

4 0
3 years ago
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