Points A and B lie on a circle with center O such that
the length of minor arc AB is 1/3 the circumference of
the circle. What is the degree measure of central angle
АОВ ?
A. 45
B. 60
C. 90
D. 120

Answer:

Step-by-step explanation:

The only valid expression from the given list is the one that uses the arctangent ([tex]tan^{-1}(0.75)[/tex] ) function.

Recall that the tangent of an acute angle in a right angle triangle is defined as:

[tex]tan(B)=\frac{opposite}{adjacent}[/tex]

therefore in our case we have:

[tex]tan(B)=\frac{opposite}{adjacent} \\tan(B) = \frac{12}{16} \\tan(B)=0.75\\B=arctan(0.75)[/tex]

Answer:

B'(6,-3)

Step-by-step explanation:

Answer:

its B on edgenuity

Step-by-step explanation:

Answer:

The answer to your question is C.

Step-by-step explanation:

Have a nice day :)

Answer: (0,-9)

Step-by-step explanation:

(0,-9) is the y-intercept because it is the point at which the function crosses the y-axis.

Answer:

x=11  solution is not extraneous

Step-by-step explanation:

sqrt( x-5) +7 = 11

Subtract 7 from each side

sqrt( x-5) +7-7 = 11-7

sqrt(x-5) = 4

Square each side

(sqrt(x-5))^2 = 4^2

x-5 = 16

Add 5 to each side

x-5+5 = 16+5

x = 21

Check

sqrt( 21-5) +7 = 11

sqrt(16) +7 =11

4+7 =11

11=11

Valid solution

Answer:

B)  x = 21, solution is not extraneous

Step-by-step explanation:

√(x - 5) + 7 = 11

(√(x - 5) + 7) - 7 = 11 - 7

√(x - 5) = 4

(√(x - 5))² = (4)²

x - 5 = 16

(x - 5) + 5 = 16 + 5

x = 21

The solution is not extraneous.  An extraneous solution is a solution that is not included in the domain.  For this equation the domain would be [-5, ∞).  The solution found is included in the domain

Gavin's number is 68.6

Equation: 1/2(x) = 34.3

Use inverse operations on both sides.

1/2(x) = 1x or x = 34.3(2)

34.3(2) = 68.6

Thus, x equals 68.6

Gavin's number is 68.6.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life

here, we have,

Gavin halves the number and gets an answer of 34.3.

now, we get,

Equation: 1/2(x) = 34.3

Use inverse operations on both sides.

1/2(x) = 1x

or x = 34.3(2)

i.e. 34.3(2) = 68.6

Thus, x equals 68.6.

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Answer:

Subtract -7x from both sides

Step-by-step explanation:

You want to isolate the y term on one side of the equation

Answer:

The answer is option 2.

Step-by-step explanation:

The first step to solve for y, you have to subtract 7x on both sides in order to make y as a subject :

[tex]7x - 10y = 30[/tex]

[tex]7x - 10y - 7x = 30 - 7x[/tex]

[tex] - 10y = 10 - 7x[/tex]

Step-by-step explanation:

1. Create your own example and explain how to solve Quadratic Equation using Quadratic Formula.

The quadratic formula is used to solve quadratic equations. It is shown as   [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

A quadratic equation is generally shown in the form of [tex]ax^{2} +bx + c = 0[/tex]

For example, if you saw the equation  [tex]7x^{2} + 3x + 20 = 0[/tex]

7 would be [tex]a[/tex], 3 would be [tex]b[/tex], and 20 would be [tex]c[/tex].

To solve the equation above, you would fill in the quadratic formula as such, [tex]x=\dfrac{-3\pm\sqrt{(3)^2-4(7)(20)}}{2(7)}[/tex]

Then you could solve for x.

2. What part in the Quadratic Formula is the discriminant?

The discriminant is the equation under the square root on the quadratic formula, [tex]b^{2} - 4ac[/tex]

It is tells us whether there are two solutions, one solutions, or no solutions.

3.  How do you know the number of solutions based on the value of the discriminant?

To know the number of solutions based off of the value of the discriminant, you need to plug in your values. Using the example quadratic equation, [tex]7x^{2} + 3x + 20 = 0[/tex]

We will plug the values into the discriminant.

[tex]3^{2} - 4(7)(20) = -551[/tex]

Now, if the discriminant is positive it has two real solutions. If the discriminant is zero the equation has no real-number solutions. And finally, if the discriminant is negative, the equation has one real solution. Because our discriminant is -551, the example equation has one real solution.

Hope this helps! (Please consider Brainliest)

Step-by-step explanation:

A=base length × height

if base is 6cm, and h 4 cm, multiply

6×4=24cm2

Answer:

Your Answer is $43.7

Step-by-step explanation:

Take the initial $38 and Multiply it by the .15 (15%) tip

You get a $5.7 tip

Add that to the meal cost of $38 and you get $43.7

Answer:

C

Step-by-step explanation:

This could be either 90° counterclockwise or 270° clockwise but the latter is not an option so the answer is C.

Answer:

d

Step-by-step explanation:

Step-by-step explanation:

1 business = 736800 ÷ 9 = 81866.66

Each business associates 81866.66

Answer:

1/2

Step-by-step explanation:

The constant of variation is the same as the slope. From the graph, the slope is 1/2.

Answer:

I believe the answer is 2

Answer:

r = 5

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r is the common ratio

Here a₁ = 1 and a₅ = 625, thus

1 × [tex]r^{4}[/tex] = 625 , so

r = [tex]\sqrt[4]{625}[/tex] = 5

The common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

We have a geometric sequence for which:

The first term a1 = 1

and fifth term:

a5 = 625

As we know, the geometric sequence follows a certain arithmetic rule of multiplication.

The nth term of the geometric sequence is:

a(n) = arⁿ⁻¹

a1 = a = 1

a5 = ar⁵⁻¹ = 625

Take the ratios:

a/ar⁵⁻¹ = 1/625

r is the common ratio.

1/r⁴ = 1/625

r⁴ = 625

r = 5

The common ratio is 5.

Thus, the common ratio of the geometric sequence is 5 if the geometric sequence for which a1=1 and a5=625 the answer is 5.

Learn more about the sequence here:

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Answer:

Step-by-step explanation:

third side=38-(10+16)=38-26=12

sides are 10 cm, 12 cm , 16 cm.

2s=10+12+16=38

s=38/2=19

area=√(s(s-a)(s-b)(s-c))

=√[19(19-10)(19-12)(19-16)]

=√[19×9×7×3]

=3√391 cm²

≈59.32 cm²

Answer:

61%

Step-by-step explanation:

Area of square:

=a²

=12²

=144

Area of two quarter circles:

=2(¼×π×r²)

=2(¼×π×6²)

=2×28.72

=56.55

Finding the percentage:

=(56. 55÷144)×100

=0.3937×100

=39.27

subtract 100% by 39.27% to find the percentage of how much is shaded

=100-39.27

=60.73

=61 (rounded off to the nearest whole percent)

Answer:

1.3x+9

2.1x+4

3.3x+1

Step-by-step explanation:

Answer:

The answer is "728 routes"

Step-by-step explanation:

The number of ways to proceed from (0, 0) to (5, 7) is as follows:

[tex]\Rightarrow \frac{(7+5)!} {(7! \times 5!)} \\\\ \Rightarrow \frac{12!}{(7! \times 5! )}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8 \times 7!}{7! \times 5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5!}\\\\\Rightarrow \frac{12 \times 11 \times 10 \times 9 \times 8}{5\times 4 \times 3 \times 2 \times 1}\\\\\Rightarrow \frac{ 11 \times 9 \times 8}{1}\\\\\Rightarrow 11 \times 9 \times 8\\\\\Rightarrow 11 \times 72\\\\\Rightarrow 792[/tex]

We would like to delete the ways of (0, 0) to (2, 3)  That's the resolution:

[tex]\Rightarrow \frac{(3+2)!}{(3!\times2!)} \\\\ \Rightarrow \frac{5!}{(3!\times2!)} \\\\\Rightarrow \frac{5\times 4\times 3! }{(3!\times2 \times 1)} \\\\\Rightarrow \frac{5\times 4}{(2 \times 1)} \\\\\Rightarrow \frac{5\times 2}{1} \\\\\Rightarrow 10 \ ways[/tex]

[tex]So, \\\\ \Rightarrow 792 -10 \\\\ \Rightarrow 782 \ routes[/tex]

Answer:

Hope it helps!

Step-by-step explanation:

The general form of a cubic function is y = ax3 + bx + cx + d where a , b, c and d are real numbers and a is not zero. We can graph cubic functions by plotting points.

A cubic function is any function of the form y = ax^3 + bx^2 + cx + d, where a, b, c, and d are constants, and a is not equal to zero, or a polynomial functions with the highest exponent equal to 3. These types of functions are extremely prevalent in applications involving volume.

Credits;

Graphs of Cubic Functions (solutions, examples, videos)

Cubic Function: Definition, Formula & Examples - Video & Lesson

Answer:

a

Step-by-step explanation:

the side x looks smaller than 8 m.

The only option smaller than 8 m is a, 5.2 m

Answer:

D) 1

Step-by-step explanation:

When you start raising i to certain powers, you begin to notice a pattern.

[tex]i^1=i \\\\i^2=-1 \\\\i^3=-i \\\\i^4=1 \\\\i^5=i \\\\ i^6=-1 \\\\ i^7=-i \\\\i^8= 1[/tex]

This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!

Answer: 1

Step-by-step explanation:

Answer:

∈

Step-by-step explanation:

∈ symbol indicates the data set on the left side is fully included in the data set on the right side

Answer:

5/3

Step-by-step explanation:

multiply the whole thing by y to get 3y/x=5 and then divide by 3 to get y/x=5/3

Answer:

y/x=5/3

Step-by-step explanation:

3/x=5/y ⇒ y/x=5/3  replacing y with 3

Answer:

Step-by-step explanation:

The question is not properly structured. Here is the complete question.

For cones with radius 6 units, the equation V=12\pi h relates the height h of the cone, in units, and the volume V of the cone, in cubic units. Sketch a graph of this equation on the axes.

The formula for calculating the volume of a cone is expressed as shown;

[tex]V = \frac{1}{3} \pi r^{2} h[/tex] where r is the radius and h is the height.

Given radius r = 6units, on substituting;

[tex]V = \frac{1}{3}*\pi *6^{2}*h\\ V = \frac{36\pi h}{3}\\V = 12\pi h... (1)[/tex]

It can be seen from the derived volume of the cone that it is linear in nature. The volume of the cone has a linear relationship with its height. As the volume increases, the height also increases and vice versa.

Generally for a direct variation

[tex]if\ y\ \alpha x \ \\y = kx[/tex]

where k is the constant of proportionality. comparing to equation 1, k = 12π.

Find the graph attached

Answer:

Step-by-step explanation:

The rule is if 2 chords intersect inside a circle, then the measure of the angle formed is one half the um of the measure of the arcs intercepted by the angle and its vertical angle. In other words, angle TSU = 1/2(arc TU + arc MV):

angle TSU = 1/2(90 + 80) and

angle TSU = 1/2(170) and

angle TSU = 85

Answer:

7/8 aren't in the school band

Answer:

(6, 9) (9, 13.5) (10, 15) and k = 1.5

Step-by-step explanation:

We can plug the given points into the equation y = kx

3 = k(2)

1.5 = k (constant of proportionality)

Then, we can use this to complete the other pints.

y = 1.5(6)

y=9, so (6, 9)

13.5 = 1.5(x)

9 = x, so (9, 13.5)

If we follow the pattern, the last point should be (10, 15)

Answer: i'd say c

Step-by-step explanation: