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2 years ago

What would be the measure of the exterior angle for each vertex of an equilateral triangle?

Mathematics

1 answer:

Mars2501 [29]2 years ago

3 0

Step-by-step explanation:

The exterior angles of an equilateral triangle will always have a measure of 120°.

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If a coin is tossed and a number cube is rolled, how many times would we expect to get heads and a 4 out of 600 trials?

Nikitich [7]

1/2 * 1/6 * 600 = 50

3 0

2 years ago

Type the correct answer for each.

xxTIMURxx [149]

If point $\left(x,\ \frac{\sqrt{7}}{3}\right)$ is on the unit ircle, then:

$x^2+\left( \frac{ \sqrt{7} }{3} \right)^2=1 \\ \\ \Rightarrow x^2+ \frac{7}{9} =1 \\ \\ \Rightarrow x^2=1- \frac{7}{9} = \frac{2}{9} \\ \\ \Rightarrow x= \sqrt{ \frac{2}{9} } = \frac{ \sqrt{2} }{3}$

Since, the point is in the second quadrant, x is negative.

Thus, $(x,\ y)=\left(x,\ \frac{\sqrt{7}}{3}\right)=\left(-\frac{ \sqrt{2} }{3},\ \frac{\sqrt{7}}{3}\right)$

Part A:

$3 \sqrt{7} =6\left( \frac{ \sqrt{7} }{2} \right) \\ \\ =6\left( \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \right) \\ \\ =6\left( \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } \right)=-6\left( \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } \right) \\ \\ =-6\left( \frac{y}{x} \right)=-6\tan\theta$

Therefore, $-6\tan\theta=3\sqrt{7}$ .

Part B:

$- \frac{ \sqrt{7} }{2} =- \frac{ \sqrt{7} }{3} \cdot \frac{3}{ \sqrt{2} } \\ \\ =- \frac{ \frac{ \sqrt{7} }{3} }{ \frac{ \sqrt{2} }{3} } = \frac{ \frac{ \sqrt{7} }{3} }{ -\frac{ \sqrt{2} }{3} } = \frac{y}{x} \\ \\ =\tan\theta$

Therefore, $\tan\theta=- \frac{ \sqrt{7} }{2}$

8 0

2 years ago

In 4 hours, the temperature steadily fell from 0 degrees Fahrenheit to -12 degrees Fahrenheit. What was the average change in te

Vsevolod [243]

Answer:

-3 degrees per hour

Step-by-step explanation:

4 0

2 years ago

What is the mad of 6,8,10

lana [24]

Answer:

6 + 8 + 10 = 24 ÷ 3 = 8

8 - 6 = 2

8 - 8 = 0

8 - 10 = 2

2 + 0 + 2 = 4 ÷ 3 = 1.3

your mad would be 1.3

4 0

2 years ago

Container A is cylinder with a radius of 10 units and a height of 10 units. A right cone has been carved from its base and has a

sergij07 [2.7K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

From the information given,

Height = 10 units

Radius = 10 units

Volume = π × 10² × 10

The formula for determining the volume of a cone is expressed as

Volume = 1/3πr²h

Height = 10 units

Base = 10 units

Volume = 1/3 × π × 10² × 10

Since the cone has been carved from the cylinder, the statement that derives the formula to find the volume of container B is

π × 10² × 10 - 1/3 × π × 10² × 10

7 0

3 years ago