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2 years ago

Given that EF is a diameter of circle D, which of the following arcs is a minor arc?

Mathematics

1 answer:

Papessa [141]2 years ago

7 0

Answer:

EC is a minor arc.

Step-by-step explanation:

The less the angle measure making the arc; the smaller the arc length.

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Time Warner Cable charges $30 per hour and a trip fee of $55 for each service call.

r-ruslan [8.4K]

Answer:

y=30x+55

Step-by-step explanation:

$55 is constant because for each trip he will take $55 dollars so that gives you your y-intercept and m=$30 and x is the amount of hours worked. every time x increases he will be making more money

3 0

2 years ago

What is Quantum theory?

Mariana [72]

Answer:

a theory of matter and energy based on the concept of quanta, especially quantum mechanics.

Step-by-step explanation:

there really is no step by step explanation :)

8 0

3 years ago

In Triangle XYZ, measure of angle X = 49° , XY = 18°, and

marissa [1.9K]

Answer:

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

Step-by-step explanation:

There are mistakes in the statement, correct form is now described:

<em>In triangle XYZ, measure of angle X = 49°, XY = 18 and YZ = 14. Find the measure of angle Y:</em>

The line segment XY is opposite to angle Z and the line segment YZ is opposite to angle X. We can determine the length of the line segment XZ by the Law of Cosine:

$YZ^{2} = XZ^{2} + XY^{2} -2\cdot XY\cdot XZ \cdot \cos X$ (1)

If we know that $X = 49^{\circ}$ , $XY = 18$ and $YZ = 14$ , then we have the following second order polynomial:

$14^{2} = XZ^{2} + 18^{2} - 2\cdot (18)\cdot XZ\cdot \cos 49^{\circ}$

$XZ^{2}-23.618\cdot XZ +128 = 0$ (2)

By the Quadratic Formula we have the following result:

$XZ \approx 15.193\,\lor\,XZ \approx 8.424$

There are two possible triangles, we can determine the value of angle Y for each by the Law of Cosine again:

$XZ^{2} = XY^{2} + YZ^{2} - 2\cdot XY \cdot YZ \cdot \cos Y$

$\cos Y = \frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ}$

$Y = \cos ^{-1}\left(\frac{XY^{2}+YZ^{2}-XZ^{2}}{2\cdot XY\cdot YZ} \right)$

1) $XZ \approx 15.193$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-15.193^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 54.987^{\circ}$

2) $XZ \approx 8.424$

$Y = \cos^{-1}\left[\frac{18^{2}+14^{2}-8.424^{2}}{2\cdot (18)\cdot (14)} \right]$

$Y \approx 27.008^{\circ}$

There are two choices for angle Y: $Y \approx 54.987^{\circ}$ for $XZ \approx 15.193$ , $Y \approx 27.008^{\circ}$ for $XZ \approx 8.424$ .

6 0

2 years ago

DUE BEFORE 5:OO!!!!!!

AleksAgata [21]

X + y = 6
x - 6y = -9

Subtract the equations, you get:

y - (-6y) = 6 - (-9)
7y = 15

y = 15/7

x + 15/7 = 6
x + 15/7 = 42/7
x = (42-15)/7
x = 27/15

None of your answer choices are correct, since the solution to the systems of equation is (27/15, 15/7)

6 0

3 years ago

What is the slope intercept of 4X plus Y equals eight?

viva [34]

Y= -4x+8.... all u had to do is subtract 4x to the other side and get that answer

3 0

3 years ago