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3 years ago

In your words, why do the radian measurements at 30 degrees and 210 degrees have the same denominator?

Mathematics

1 answer:

Alex777 [14]3 years ago

5 0

Answer:

So the degrees was converted to rad by dividing it with a common number 180°, which is half of a revolution which makes 30° and 210° alike.

Step-by-step explanation:

360° = 2π

180° = π

210° = 210/180 * π

210° = 7/6 π rad

30° = 30/180 * 1

30° = 1/6π rad

So the degrees was converted to rad by dividing it with a common number 180.

That's why 6 is the denominator for both radians.

And another point, 210° and 30° are alike in the sense that , they ate the beginning of half if a revolution.

30 is the beginning to yield 180°

210-180=30

So 210 is also the beginning to yield 360°

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The pipe is leaking at 1.5 cups per day about how many gallons per week is the population

Inessa [10]

The question asks per week. So 1.5 cups times 7 days is 10.5 cups.

The pipe leaks 10.5 cups every week.

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3 years ago

Alex swims at an average speed of 45 m/min. How far does he<br> swim in 1 min 24 sec?<br> ___ m

nekit [7.7K]

Answer:

63m

Explanation:

We are given the following in the question:

Average speed of swimming = 45 m/min

Time = 1 minute 24 seconds

Converting time into minutes:

1 + 24/60 = 1.4 minutes

Distance: 45 × 1.4 = 63m

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3 years ago

Find the total time.

Ad libitum [116K]

Answer:

A and D

Step-by-step explanation:

53 + 37 + 44 with the time standard being minutes

Find total time

___________________________________________

We have units of time and need to add them together, let's do as such.

53 + 37 + 44

134 minutes.

Let's try simplifying it into minutes to find how much we have :

134/60

2 hours and 14 minutes

Therefore A and D are correct.

3 0

3 years ago

Read 2 more answers

Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest te

max2010maxim [7]

<em>Triangle ABC is a right triangle. The length of the legs are 3 in and 6 in, how long is the hypotenuse? (Round to the nearest tenth if necessary)</em>

When the two legs are given, the hypotenuse is found by using the Pythagorean Theorem, which states that:

$\displaystyle a^{2} +b^{2} =c^{2}$

In the theorem, a and b are the two legs, and c is the hypotenuse. Since you are given the length of the two legs, substitute it into the equation.

$a=3\\b=6$

$3^{2} +6^{2}=c^{2}$

Now, you need to square both 3 and 6. When you square a number, you're basically multiplying the number by itself.

$3^{2} =3 \times 3=9\\6^{2}=6 \times 6=36$

Substitute the numbers into the equation.

$9+36=c^{2}$

Add:

$45=c^{2}$

You're looking for the value of c, not c squared. To remove the square, you need to square root it.

$\displaystyle \sqrt{45}=\sqrt{c^{2} }$

Using a calculator, find the square root of 45.

$\displaystyle \sqrt{45}=\sqrt{c^{2} }\\c \approx 6.7$

The answer to your question is B) 6.7 inches.

7 0

3 years ago

Read 2 more answers

Please help, been struggling with this for almost a week now.

nikitadnepr [17]

Answer:

$A \approx 1140.3\ units^2$

Step-by-step explanation:

To solve this problem we first need to find the diameter of the circle. We are told the point $N$ is the circle, so we can assume it is the center of the circle. To find the diameter we can use the Pythagorean Theorem:

$a^2 + b^2 = c^2\\40^2 + 9^2 = c^2\\1600 + 81 = c^2\\1681 = c^2\\\sqrt{1681} = c\\41 = c$

The diameter is $41$ units, which means the radius is $\frac{41}{2}$ . From here we can calculate the area of the circle:

$A_c = \pi r^2\\A_c = \pi (\frac{41}{2})^2\\A_c = \pi 420.25\\A_c \approx 1320.25$

Now we need to subtract the area of the triangle from the area of the circle. Calculate the area of the triangle:

$A_t = \frac{bh}{2}\\A_t = \frac{40 \times 9}{2}\\A_t = \frac{360}{2}\\A_t = 180$

Subtract the triangle area from the circle area to get the area of the shaded area:

$A = A_c - A_t\\A = \pi420.25 - 180\\A = 1140.25431\\A \approx 1140.3\ units^2$

5 0

2 years ago