unit 10 arc and angle measures i need help 9 and 10 ​

Answer:

The length of AB is 9 cm.

Step-by-step explanation:

EH = 10 cm, area of EFGH is 35 cm, so

EF = 3.5 cm

BC = AD = 3.5 cm, perimeter of ABCD = 25 cm, so AB = 9 cm since 2(9 + 3.5) = 2(12.5) = 25

The equation of the parabola graphed is given as follows:

y = a(x + 1)² - 4.

What is parabola and examples?

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Considering the vertex given, we have that h = -1, k = -4, hence the equation is:

y = a(x + 1)² - 4

Learn more about parabola

brainly.com/question/11911877

#SPJ4

Answer:

640.6 m^2

Step-by-step explanation:

Formula

V = (1/3) pi * r^2 * h          Substitute givens into the formula and solve

Givens

V = ?

pi = 3.14

r = 6 m

h = 17 m

Solution

V = (1/3) * 3.14 * 6 * 6 * 17

V = 640.56      

Answer

V = 640.6 m^2 to the nearest 10th

All the correct options that apply to the given dot plot are;

A dot plot is a simple plot that displays data values as dots above a number line.

5 students spent 2 hours on homework.

Dot plots show the distribution of the data.

A dot plot is defined as a simple plot that displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set and also shows the distribution of the data.

From the given dot plot, we can interpret the following parameters;

Number of students that spent 1 hour on homework = 1 person

Number of students that spent 2 hours on homework = 5 persons

Number of students that spent 3 hours on homework = 6 persons

Number of students that spent 4 hours on homework = 4 persons

Number of students that spent 5 hours on homework = 1 person

Number of students that spent 6 hours on homework = 1 person

Read more about Dot Plots at; https://brainly.com/question/24309209

#SPJ1

Answer:

c i believe

Step-by-step explanation:

brainliest?

Answer:

The answer is C

Step-by-step explanation:

The line is pointing towards the right and the mark on -3 is shaded in.

Answer:

y= 4 x=0 (0,4)

Step-by-step explanation:

5x+y=4

-5x +y=4

the 5x would cancel out because they equal zero

2y=4

divide both sides by 2

y=4

put the y into one of the equations

5x +4 =4

subtract 4 from both sides

5x=0

divide five from both sides

x=0/5

so x=0

Step-by-step explanation:

5x+y=4 --> y=-5x+4

Plug this into the other equation:

-5x+(-5x+5)=4

Simplify:

-10x=1

x=-.1 (save this answer)

Plug into first simplified equation:

y=-5(-.1)+4

Solve:

y=4.5

(-.1 , 4.5)

The equation of the tangent line to the curve f(x) = -5x^2 through the point (1, -4) is y = -9x + 5.

(a) To determine f(x) = x - 5x2's derivative The following limit has to be evaluated using the limit definition:

lim(h->0) = f'(x) [f(x + h) − f(x)] / h

When the function f(x) = x - 5x2 is inserted into the limit definition, the following results:

lim(h->0) = f'(x) [5(x + h) - x + h)2 - (x - 5x)] / h

By enlarging and condensing the expression, we obtain:

lim(h->0) = f'(x) [x + h - 5(x2+2xh+h2)] - x + 5x^2] /h f'(x)=lim(h->0) [h - 10xh - 5h^2] / h

We can now eliminate the shared factor of h:

lim(h->0) = f'(x) [1 - 10x - 5h]

As h gets closer to 0, we take the limit and discover: f'(x) = 1 - 10x.

Therefore, the derivative of f(x) = x - 5x^2 is f'(x) = 1 - 10x.

(b) To find the equation of the tangent line to the curve f(x) = -5x^2 through the point (1, -4), we need the slope of the tangent line and a point on the line.

We know that the derivative of f(x) is f'(x) = 1 - 10x.

Substituting x = 1 into the derivative, we get:

f'(1) = 1 - 10(1) = 1 - 10 = -9

So the slope of the tangent line is -9.

Now we have a point (1, -4) and the slope -9. Using the point-slope formof a linear equation, the equation of the tangent line is:

y - y₁ = m(x - x₁)

where (x₁, y₁) is the point and m is the slope.

Plugging in the values, we get:

y - (-4) = -9(x - 1)

Simplifying, we have:

y + 4 = -9x + 9

Subtracting 4 from both sides, we get:

y = -9x + 5

Therefore, the equation of the tangent line to the curve f(x) = -5x^2 through the point (1, -4) is y = -9x + 5.

Learn more about derivative  here:

https://brainly.com/question/954654

#SPJ11

Answer:

5 is c 9 is f

Answer:

A composite number is a whole number greater than 1 with more than two factors.

Step-by-step explanation:

Answer: Square and rectangle

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

85+65=150. The angles of a triangle add to 180, so the third interior angle is 30. The interior and exterior angles add up to 180, so the exterior angle is 150.

Answer:

150

Step-by-step explanation:

\(180 - 85 - 65 = 30\)

\(180 - 30 = 150\)

Answer:

5.4x10^9

Step-by-step explanation:

Answer:

7.14

Step-by-step explanation:

Answer:

7.14

Step-by-step explanation: I just did the assignment so yea its the correct answer :)

The null hypothesis to test for instruments' relevance is option D) H0:π2=0 or π3=0 or π4=0.In order to test the relevance of the instrument, the first stage equation's null hypothesis should be stated as: H0: π2 = 0 or π3 = 0 or π4 = 0.The relevance requirement will be fulfilled if we can refute the null hypothesis.

The null hypothesis will not be rejected if the F-statistic is less than 10.0. However, if the F-statistic is greater than 10.0, the null hypothesis will be rejected, indicating that the variables are relevant and that the instrument satisfies the relevance requirement.In summary, to test for instruments' relevance in TSLS, the null hypothesis of the first stage equation is stated as H0: π2 = 0 or π3 = 0 or π4 = 0.

To know more about hypothesis visit:

https://brainly.com/question/31319397

#SPJ11

The slope of the equation c = 0.50t is 0.50. It represents the additional cost per minute of computer usage at the internet cafe.

In the given equation c = 0.50t, c represents the total cost of using the computer for t minutes. The coefficient 0.50 represents the price per minute of computer usage at the internet cafe.

The slope of the equation is equal to this coefficient, which is 0.50.

Interpretation: The slope of 0.50 indicates that for every additional minute of computer usage, the cost increases by $0.50. This means that the internet cafe charges $0.50 per minute for using the computer.

The slope provides a measure of the rate of change of the total cost with respect to the number of minutes used. In this context, it shows the additional cost incurred for each additional minute of computer usage at the cafe.

Learn more about Equation click here :brainly.com/question/13763238

#SPJ11

Answer:

Ratio of student who signed up for art club:

1/5

Ratio who signed other club:

4/5

Step-by-step explanation:

First find out ratio who signed up for art club

you have 16 out of 80

find the common factor: 16

16/16 = 1

80/16 = 5

so 1/5

other clubs is the rest so 5/5 - 1/5 = 4/5

please give thanks :)

Answer:

π radians

Step-by-step explanation:

*view photo*

The semicircles are arc AD and arc CG

The measure of the arc GCD is 180°

from the question, we have the following parameters that can be used in our computation:

Diameters = AD and CG

This means that

There are no major arc or minor arcs

While the semicircles are arc AD and arc CG

Since, AD is a diameter.

Then, ACD is a semicircle

The measure of a semicircle is 180.

So, the measure of arc GCD is 180°.

Read more about diameter visit:

brainly.com/question/10907234

#SPJ1

The resultant answer of the given equation [-1/2n² + 18 = 0] is n = 6.

So, -1/2n² + 18 = 0:

Solve for 'n' as follows:

Therefore, the resultant answer of the given equation [-1/2n² + 18 = 0] is n = 6.

Know more about equations here:

https://brainly.com/question/28937794

#SPJ4

The complete question is given below:

Type the correct answer in the box. use numerals instead of words. what is the solution to this equation?

Answer:

I think Its D

Step-by-step explanation:

Answer:

The midpoint is (3, -2)

Step-by-step explanation:

\(m = (\frac{x1 + x2}{2}, \frac{y1 + y2}{2})\\m = (\frac{-7 + 13}{2}, \frac{2-6}{2})\\m = (\frac{6}{2}, \frac{-4}{2})\\m = (3, -2)\)

The curve is y = In(sec(x)) and we have to find its length. We are given the range as 0 ≤ x ≤ π/4. So, the formula for the length of the curve is given as:

To solve for the length of the curve of y = In(sec(x)), we use the formula,

`L = ∫[a,b] √[1+(f′(x))^2] dx`.Where, `a = 0` and `b = π/4`. And `f′(x)` is the derivative of `In(sec(x))`.

We know that:`f′(x) = d/dx[In(sec(x))]`

Using the formula of logarithm differentiation, we can write the above equation as:

`f′(x) = d/dx[In(1/cos(x))]`

So,`f′(x) = -d/dx[In(cos(x))]`

Therefore,`f′(x) = -sin(x)/cos(x)`

Substituting the values, we get:

`L = ∫[a,b] √[1+(f′(x))^2] dx`

`L = ∫[0,π/4] √[1+(-sin(x)/cos(x))^2] dx`

`L = ∫[0,π/4] √[(cos^2(x)+sin^2(x))/(cos^2(x))] dx`

`L = ∫[0,π/4] sec(x) dx`

Now, `L = ln(sec(x) + tan(x)) + C` where `C` is a constant.

We calculate the constant by substituting the values of `a = 0` and `b = π/4`:

`L = ln(sec(π/4) + tan(π/4)) - ln(sec(0) + tan(0))`

`L = ln(√2 + 1) - ln(1 + 0)`

`L = ln(√2 + 1)`

Thus, the exact length of the curve is `ln(√2 + 1)` units.

Thus, the exact length of the curve of y = In(sec(x)), 0≤x≤π/4 is `ln(√2 + 1)` units.

To know more about derivative visit:

brainly.com/question/25324584

#SPJ11

The correct option is the standard deviations of the variables.

What is correlation?

Any statistical relationship between two random variables or bivariate data, whether causal or not, is referred to in statistics as correlation or dependence.

Correlation is a term used to describe the linear relationship between two entities. When using a correlation tool, the variables must be present in quantities of two or more to test their relationship (degree of association).

In order to scale the measurement between two variables connected to a similar sample, the standard deviation measures dispersion.

The variables' standard deviations are the best choice as a result.

Option involving the standard errors of the variables is incorrect because standard error, which stands for standard deviation, determines the relationship between dependent and independent variables.

Option involving the coefficients of variation of two variables is incorrect because the coefficient expressing standard deviation and mean ratio determines how much variation there is.

Option The means of the variables are incorrect because they are not a scale for determining the correlation between two variables.

Hence, the correct option is the standard deviations of the variables.

To know more about correlation, click on the link

https://brainly.com/question/2088651

#SPJ4

Complete question:

The correlation between two variables related to the same sample is a scaled quantitative measure. What is used to scale this measurement?

- the standard deviations of the variables

- the standard errors of the variables

- the coefficients of variation of the two variables

- the means of the variables

the larger of the two acute angles of the right triangle is π radians or 180 degrees.

Let's begin by using the identity cos(θ) = sin (π/2 - θ) to write:

cos(8x) = sin (4x + 3) = sin (π/2 - (4x + 3))

We can simplify sin (π/2 - (4x + 3)) using the identity sin (π/2 - θ) = cos(θ), so we have:

cos(8x) = cos (4x + 3)

Now we can use the identity cos(θ) = cos(-θ) to write:

cos(8x) = cos (-4x - 3)

This means that either 8x = -4x - 3 + 2πn or 8x = 4x + 3 + 2πn for some integer n.

Solving the first equation, we get:

12x = 2πn - 3

x = (2πn - 3)/12

Solving the second equation, we get:

4x = 2πn - 3

x = (2πn - 3)/4

We want to find the larger of the two acute angles of the right triangle, which is the angle opposite the longer leg. Let's call this angle A. We know that:

\(cos(A) = adjacent/hypotenuse\)

\(sin(A) = opposite/hypotenuse\)

We can use the Pythagorean theorem to relate the sides of the triangle:

\(opposite^2 + adjacent^2 = hypotenuse^2\)

Let's set up the equations for the two possible values of x:

For x = (2πn - 3)/12:

cos(8x) = cos (2πn - 3 - 2πm) = cos (3 - 2πm) = cos (2πm - 3)

cos (4x + 3) = cos (2πn + 3π/2) = 0

So, we have:

cos(A) = cos (2πm - 3)

sin(A) = 0

\(opposite^2 + adjacent^2 = hypotenuse^2\)

This means that either A = 0 or A = π. However, A cannot be 0 because that would make the triangle degenerate. Therefore, A = π.

For x = (2πn - 3)/4:

cos(8x) = cos (2πn - 3 - 2πm) = cos (3 - 2πm) = cos (2πm - 3)

cos (4x + 3) = sin (2πn + 3π/2) = -1

So, we have:

cos(A) = cos (2πm - 3)

sin(A) = -1/hypotenuse

\(opposite^2 + adjacent^2 = hypotenuse^2\)

From the equation sin(A) = -1/hypotenuse, we can see that A is the angle opposite a side with length -1, which is impossible. Therefore, there are no solutions for this case.

In summary, the larger of the two acute angles of the right triangle is π radians or 180 degrees.

To Learn more about acute angles visit:

https://brainly.com/question/10334248

#SPJ1

Answer:

-5p+12

Step-by-step explanation:

Answer:50-21=29

Step-by-step explanation: calculate if u can

Using synthetic division, we can divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1. Performing the synthetic division, we obtain a quotient of x² + 6x - 6 and a remainder of 8.

To divide the polynomial x³ + 7x² - 12x + 14 by the divisor 1 using synthetic division, we set up the synthetic division table as follows:

1  |   1   7  -12   14

We begin by bringing down the coefficient of the first term, which is 1, and place it on the line below the division bar. Then we multiply the divisor, 1, by the value we brought down and write the result under the next coefficient. Adding the values in the second row, we obtain the new value. We continue this process for each term until we reach the last term.

1  |   1   7  -12   14

 1   8  -4     10

The values in the last row represent the coefficients of the quotient polynomial. Therefore, the quotient is x² + 6x - 6. The remainder, which is the last value in the last row, is 10. Since the divisor is 1, the remainder does not affect the quotient. Hence, the result of the division is x² + 6x - 6 with a remainder of 10.

Learn more about  synthetic division here: brainly.com/question/29809954

#SPJ11

Answer:

78 degrees

Step-by-step explanation:

this is a situation where you have a right triangle and know the hypotenuse and adjacent side lengths, so you can use cos⁻¹

cos⁻¹(8.5/42) = 78.3 degrees