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3 years ago

Which of the h-values satisfy the following inequality 6 ( greater than or equal to sign ) h/2?

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

7 0

Start from

$6 \geq \dfrac{h}{2}$

Multiply both sides by 2:

$12 \geq h$

Which you can rewrite as

$h \leq 12$

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What is sin -1 (1/2) if the terminal side of 0 is located in quadrant 1

Lady_Fox [76]

Answer:

sin^-1 (1/2) = 30°

Step-by-step explanation:

* Lets explain how to find the trigonometry functions from the unit circle

- The unit circle is the circle whose radius is 1 unit

- It intersects the four axes at:

# Positive part of x-axis at (1 , 0) and negative part at (-1 , 0)

# Positive part of y-axis at (0 , 1) and negative part at (0 , -1)

- The terminal of any angle intersect it at point (x , y) where x² + y² = 1

- If The angle between the terminal side and the x-axis is Ф , then

# The adjacent side of Ф = x

# The opposite side of the angle Ф = y

- In the problem the terminal side lies in the first quadrant

∴ all the trigonometry functions are positive

∵ sin Ф = opposite/hypotenuse

∵ The opposite = 1/2 and the hypotenuse is the terminal side = 1

∴ sin Ф = 1/2 ÷ 1 = 1/2

- To find Ф use the inverse function sin^-1 Ф

∵ sin Ф = 1/2

∴ Ф = sin^-1 (1/2)

∴ Ф = 30°

* sin^-1 (1/2) = 30°

6 0

3 years ago

Dante runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

denis23 [38]

<h2>Answer: 2.8 miles</h2>

Step-by-step:

We can write it in the proportion $\frac{7}{60} = \frac{x}{24}$

where x is our number of miles trying to find

We now cross multiply or use the butterfly method which I will demonstrate both

<h3>Cross Multiply</h3>

We multiply the numerator with the dominator

so $7 multiplied by 24$

and $60 multiplied by x$

$7*24=60x$

$168=60x$

$\frac{168}{60} =\frac{60x}{60}$

$2.8=x$ or $x=2.8$

Now for the

<h3>Butterfly Method </h3>

You would do 7 times 24 divided by 60 or $\frac{7*24}{60}$

Then $\frac{168}{60}$ simplify

$2.8$ so 2.8 miles in either method

3 0

3 years ago

Color blindness is an inherited characteristic that is more common in males than females. Let F represent female, and C represen

malfutka [58]

Answer:

0.513 = 51.3% probability of being a female.

Step-by-step explanation:

We are given the following formula:

$P(F \cup C) = P(F) + P(C) - P(F \cap C)$

In which:

Event F: Female

Event C: Red-green color blindness.

Probability of a Female

We have to find P(F), which is given by:

$P(F) = P(F \cup C) + P(F \cap C) - P(C)$

We are given by:

$P(C) = 0.039, P(F \cap C) = 0.004, P(F \cup C) = 0.548$

$P(F) = P(F \cup C) + P(F \cap C) - P(C) = 0.548 + 0.004 - 0.039 = 0.513$

0.513 = 51.3% probability of being a female.

5 0

3 years ago

An expressions is shown. what is the value of the expression? 2315.5+(-3166.75)

Zepler [3.9K]

Adding a negative number is the same as subtracting a positive number. So 2315.5 - 3166.75 = -851.25

7 0

3 years ago

Please help me!!!! Super confused

valkas [14]

The correct answer to 38 is B

4 0

3 years ago