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3 years ago

Mark the statements that are true. an angle that measures pi/3 radions also measures 30 degrees

Mathematics

1 answer:

Aleks04 [339]3 years ago

8 0

Answer:

Pi/3 radians also measures 60 degrees not 30

Step-by-step explanation:

Pi/3 x 180/pi=180pi/3pi

Since both have pi they cancel out leaving 180/3, which equals 60.

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5 rubber stamps cost $9.70.

Ratling [72]

E None of the above

8 0

3 years ago

It is known that 1.4< square root of 2 <1.5. Find all possible values of the expression 2-square root of 2. How do I find

horsena [70]

Answer:

0.5<2-√2<0.6

Step-by-step explanation:

The original inequality states that 1.4<√2<1.5

For the second inequality, you can think of 2-√2 as 2+(-√2).

Because of the "properties of inequalities", we know that when a positive inequality is being turned into a negative, the numbers need to swap and become negative. So, the original inequality becomes -1.5<-√2<-1.4. (Notice how the √2 becomes negative, too). This makes sense because -1.5 is less than -1.4.

Using our new inequality, we can solve the problem. Instead of 2+(-√2), we are going to switch "-√2" with both possibilities of -1.5 and -1.6. For -1.5, we would get 2+(-1.5), or 0.5. For -1.4, we would get 2+(-1.4), or 0.6.

Now, we insert the new numbers into the equation _<2-√2<_. The 0.5 would take the original equation's "1.4" place, and 0.6 would take 1.5's. In the end, you'd get 0.5<2-√2<0.6. All possible values of 2-√2 would be between 0.5 and 0.6.

Hope this helped!

4 0

3 years ago

A local fast-food restaurant can serve

Marizza181 [45]

Answer:

4 hours, 150 x 4 = 600 pls give brainliest

5 0

3 years ago

The general form of the equation of a circle is ax2 by2 cx dy e = 0, where a = b 0. if the circle has a radius of 3 units and th

aev [14]

The set of values which might correspond to the circle are A = 1, B = 1, C = 0, D = -8 and E = 7.

<h3>The equation of a circle.</h3>

Mathematically, the general form of the equation of a circle is given by;

(x - h)² + (y - k)² = r²

<u>Where:</u>

h and k represents the coordinates at the center.

r is the radius of a circle.

Based on the information provided that the center of the circle lies on the y-axis, we have:

(h, k) = (0, 4)

Radius, r = 3 units.

Substituting the given parameters into the formula, we have;

(x - 0)² + (y - 4)² = 3²

x ² + y² - 8y + 16 = 9

x ² + y² - 8y + 7 = 0.

Therefore, the set of values which might correspond to the circle are A = 1, B = 1, C = 0, D = -8 and E = 7.

Read more on circle here: brainly.com/question/1615837

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<u>Complete Question:</u>

The general form of the equation of a circle is Ax² + By² + Cx + Dy + E = 0, where A = B. If the circle has a radius of 3 units and the center at (0, 4), which set of values of A, B, C, D, and E correspond to the circle?

4 0

2 years ago

While standing on top of a hill at a ski resort, Alexa Latour spots the ski lodge below. If the vertical height of the hill is 1

alexira [117]

Answer: The distance to the lodge is 1514 ft

Step-by-step explanation: Please refer to the diagram attached.

The point where Alexa is standing at the top of the hill is marked as point A. The vertical height of the hill is from point A to point B which has been given as 1209 ft. Also, when Alexa looks down, she does that at an angle of depression measuring 53 degrees. Therefore while looking at the lodge, she forms an angle between her line of sight and the height of the hill. That angle is calculated as 90 degrees minus 53 degrees and that equals 37 degrees (as shown in the diagram). Note that her line of sight is AC since the ski lodge is at point C. Therefore the distance she must ski in order to get to point C (which shall be represented by X) shall be calculated using trigonometric ratios.

Note that we have a reference angle which is 37. We also have an adjacent which is 1209 (the side that lies between the reference angle and the right angle). And then we want to calculate the hypotenuse, yet unknown, (which is the side facing right angle). Since we have an adjacent, a hypotenuse and the reference angle, X can be calculated as

Cos A = Adjacent/Hypotenuse

Cos A = AB/AC

Cos 37 = 1209/X

By cross multiplication we now have X = 1209/Cos 37

By using our calculator or checking the table of values, Cos 37 = 0.7986

X = 1209/0.7986

X = 1513.899

Approximated to the nearest feet,

X = 1514 ft

8 0

3 years ago