MATHEMATICS HIGH SCHOOL

Is 4.125.... rational or irrational

Answers

Answer 1
Answer: it is an irrational number, since it is non-terminating
Answer 2
Answer: Irrational, I had trouble with this when I first started learning this part of math also.

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Triangle J L N is cut by line segment K M. LIne segment K M goes from side J L to side L N. The length of J K is 10, the length of K L is 16, the length of L M is 24, and the length of M N is 15. Is KM ∥ JN? Why or why not? No, because StartFraction 16 Over 10 EndFraction not-equals StartFraction 24 Over 15 EndFraction. Yes, because StartFraction 10 Over 24 EndFraction equals StartFraction 15 Over 16 EndFraction. Yes, because StartFraction 16 Over 10 EndFraction equals StartFraction 15 Over 24 EndFraction Yes, because StartFraction 16 Over 10 EndFraction equals StartFraction 24 Over 15 EndFraction.
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Multiply the following equation: (2x-7)(x+3).

Answers

FOIL
first
outer
inner
last
example if you had
(a+b)(c+d)
first a times c
outer a times d
inner b times c
last b times d

(2x-7)(x+3)
first 2x times x=2x^2
outer 2x times 3=6x
inner -7 times x=-7x
last -3 times 3=-21

add them
2x^2+6x-7x-21
2x^2-x-21

If you have a semi-circle with a diameter of 8.6ft, what's the semi-circles area? Use the formula \pi r^(2)

Answers

So,

The diameter is 8.6ft.  We need to convert to radius.

2 radius = 1 diameter

8.6/2 = 4.3 ft.

\pi r{2}

\pi 4.3^(2)

\pi 18.49

3.14(18.49)

58.0586ft.²

Divide by 2 (semi-circle)
29.0293ft.²

Solve for c.|c- 2| >3
Write a compound inequality like 1 3. Use in tegers, proper
fractions, or improper fractions in simplest form.

Answers

Answer:

To solve the inequality |c-2| > 3, we need to consider two cases:

c-2 > 3

c-2 < -3

For the first case, we add 2 to both sides of the inequality to get:

c > 5

For the second case, we add 2 to both sides of the inequality and multiply by -1 to get:

-c > -1

c < 1

Therefore, the solution to the inequality |c-2| > 3 is:

c < 1 or c > 5

This is a compound inequality that can be written as:

1 < c or c > 5

I hope this helps!

The sum of 3 consecutive integers is -192. What is the middle number?

Answers

-192 ÷ 3 = -64

therefore the numbers must be -63, -64, and -65

the middle number is -64 :)
 the middle number is -64 , because -192 / 3

i hope this helps

In Bear Creek Bay in July, high tide is at 1:00 pm. The water level at high tide is 7 feet at high tide and 1 foot at low tide. Assuming the next high tide is exactly 12 hours later and the height of the water can be modeled by a cosine curve, find an equation for Bear Creek Bay's water level in July as a function of time (t).

Answers

Final answer:

The equation for Bear Creek Bay's water level in July as a function of time (t) is h = 3*cos(2*pi*t/12) + 4.

Explanation:

To find an equation for Bear Creek Bay's water level in July as a function of time (t), we can use a cosine curve since the height of the water can be modeled by it.

Based on the given information, we know that the water level is 7 feet at high tide and 1 foot at low tide. We also know that the next high tide is exactly 12 hours later.

Using the cosine function, where the amplitude (A) is (7 - 1)/2 = 3 and the period (T) is 12 hours, the equation for Bear Creek Bay's water level (h) as a function of time (t) is:

h = 3*cos(2*pi*t/12) + 4

Learn more about Equation for water level in Bear Creek Bay in July here:

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Can someone help me and explain step by step?

Answers

I'm not a master of probabilities, but I reckon the answer is 3/16.
The probability that the first spin lands on blue is (6)/(8) (6 blue sections of all possible 8)
The probability that the second spin lands on grey is (2)/(8) (2 gray sections of all possible 8)

So, the probability that the first spin lands on blue and the second spin lands on grey is (6)/(8)\cdot(2)/(8)=(3)/(4)\cdot(1)/(4)=\boxed{(3)/(16)}
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