Please assist me with this two column proof. Part 1A

​

Answer:

the x value is 2

because the triangles are similar

i think

The value of x, that is chord CD is 2 cm.

We need to find the value of x.

Equal chords of a circle subtend equal angles at the centre. The converse of the theorem is if two chords subtend equal angles at the centre, they are equal.

In the given diagram chord AB and chord CD subtend the equal angles which are 30°. Therefore, AB=CD=2 cm.

Hence, the value of x, that is chord CD is 2 cm.

To learn more about circle theorems visit:

https://brainly.com/question/19906255.

#SPJ2

Answer:

Answer is E but not 100%

Step-by-step explanation:

Answer:

A is correct

E shows an error as the first two values are identical so one cannot be greater than the other.

Step-by-step explanation:

A shows 2.69 is equal to 2.696 which is more than 2.696 which is more than 2.696 which is more than 2.696

As when;

2.696 repeats in bold = 2.696969696  1st greatest

2.696 repeats in bold = 2.696696696 2nd in highest value so 2nd in order.

2.696 repeats in bold = 2.696666666 3rd in highest value so 3rd in order.

2.696 does not repeat = 2.696 so is the least greatest from the list.

Answer:

18

Step-by-step explanation:

The answer is B, 18

Answer:

The person above me is correct

Step-by-step explanation:

Answer:

The area of the lawn that is covered by the water from the  sprinkler is

[tex]125.6[/tex] square meter

Step-by-step explanation:

Given

The radius of the circle is 12 m

Area of the circle is [tex]\pi r^2 = \pi * 12^2 = 144\pi[/tex]

For one complete circle,  the degree of rotation is 360 degrees.

Area of lawn covered by rotation of 100 degrees only is 100/360 = 5/18

The area of the lawn that is covered by the water from the  sprinkler is

[tex]\frac{5}{18} * 3.14*144 = 125.6[/tex] square meter

Answer:

So, the coefficient of the x^2 -term is 80

Step-by-step explanation:

so we need to simplify it:

#10(x^2)(2^3) = 10(x^2)(8) = 80x^2

Answer: C

Step-by-step explanation: Hope this help :D

Answer:

A

Step-by-step explanation:

The sum of 8 and a number n represents n + 8

Twice that sum would give us 2(n + 8)

Answer:

A. 2(n+8)

sum of 8 and number = n+8

and twice that means 2(n+8)

Answer:

Step-by-step explanation:

Terminal points of vector u has been given as (4, 0), (9, 4).

Therefore, vector u can be represented by,

[tex]\vec{u}=\vec{u_2}-\vec{u_1}[/tex]

[tex]\vec{u}=(9i+4j)-(4i)[/tex]

[tex]\vec{u}=5i+4j[/tex]

And the magnitude of the vector u will be,

|| u || = [tex]\sqrt{5^2+4^2}[/tex]

       = [tex]\sqrt{41}[/tex]

Slope of vector passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is defined by the expression,

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of vector u will be,

Slope = [tex]\frac{4-0}{9-4}[/tex]

          = [tex]\frac{4}{5}[/tex]

Similarly, terminal points of vector v are (-7, 1) and (3, 9).

So the vector v will be,

[tex]\vec{v}=(3i+9j)-(-7i+1j)[/tex]

[tex]\vec{v}=(3i+7i)+(9j-1j)[/tex]

[tex]\vec{v}=10i+8j[/tex]

Therefore, magnitude of vector v will be,

|| v || = [tex]\sqrt{10^2+8^2}[/tex]

        = [tex]\sqrt{164}[/tex]

        = [tex]2\sqrt{41}[/tex]

Slope of vector v = [tex]\frac{9-1}{3+7}[/tex]

                             = [tex]\frac{8}{10}[/tex]

                             = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

Hello! In order to get the best explication for your question, here's the link to a useful website:

https://geometryhelp.net/area-parallelogram-diagonals/

I believe, it's better for you to understand how to use the Heron's formula in other contexts so as to understand deeper into details how to apply it

Hope it helped!

Answer:36.7

Step-by-step explanation:

Answer:

[tex]f^{-1}(x) = (x + 8)^2[/tex]

[tex]x \ge -8[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \sqrt x - 8[/tex]

Solving (a): [tex]f^{-1}(x)[/tex]

We have:

[tex]f(x) = \sqrt x - 8[/tex]

Express f(x) as y

[tex]y = \sqrt x - 8[/tex]

Swap x and y

[tex]x = \sqrt y - 8[/tex]

Add 8 to [tex]both\ sides[/tex]

[tex]x + 8 = \sqrt y - 8 + 8[/tex]

[tex]x + 8 = \sqrt y[/tex]

Square both sides

[tex](x + 8)^2 = y[/tex]

Rewrite as:

[tex]y = (x + 8)^2[/tex]

Express y as: [tex]f^{-1}(x)[/tex]

[tex]f^{-1}(x) = (x + 8)^2[/tex]

To determine the domain, we have:

The original function is [tex]f(x) = \sqrt x - 8[/tex]

The range of this is: [tex]f(x) \ge -8[/tex]

The [tex]domain[/tex] of the [tex]inverse[/tex] function is the [tex]range[/tex] of the [tex]original[/tex] function.

Hence, the domain is:

[tex]x \ge -8[/tex]

Answer:

Part A: To find the volume of a cylinder, we need the dimensions of the cylinder such as the radius of the base of the cylinder and the height of the cylinder.

Part B: We have given the base of the refraction cup as a half-circle, we can calculate the radius of the base.

The diameter is given as 8 cm so, the radius would be half of the diameter.

r = 4cm

Part C:  If you put two refraction cups together, we get the full three-dimensional shape that is a circle.

Part D: The formula for the volume of a cylinder is V=pi r^2 h.

Part E: The volume of a refraction cup =

= 4/3 (3.14)(8)

= 33.49

Part F: The relationship between the value D and the value from Part D is as follows

The volume of a cylinder = 3 times the volume of a refraction cup

Step-by-step explanation:

Answer:

The other leg is  12 cm  long.

Step-by-step explanation:

c

2

=

a

2

+

b

2

,

where:

c

is the hypotenuse, and  

a

and  

b

are the other two sides (legs).

Let  

a

=

9 cm

Rearrange the equation to isolate  

b

2

. Plug in the values for  

a

and  

c

, and solve.

b

2

=

c

2

−

a

2

b

2

=

(

15 cm

)

2

−

(

9 cm

)

2

Simplify.

b

2

=

225 cm

2

−

81

cm

2

b

2

=

144 cm

2

Take the square root of both sides.

b

=

√

144 cm

2

Simplify.

b

=

12 cm

Answer:

14.14 cm

Step-by-step explanation:

using the Pythagorean theorem:

?² = 15² - 5² = 225 - 25 = 200

? = √200 = 14.14 cm

Answer:

Step-by-step explanation:

Find the center, the midpoint of the diameter:

Find the square of the radius by distance formula:

Equation of the circle:

Substitute the values to get:

Answer:

solution given:

points at (4, -3) and (-2, 5

diameter [d]=

[tex]d = \sqrt{(4 + 2) {}^{2} +( - 3 - 5) {}^{2} } \\ d = 10units \\ radius(r) = 5units [/tex]

centre[h,k]={(4-2)/2,(-3+5)/2}=(1,1)

now equation of a circle

(x-h)²+(y-k)²=r²

(x-1)²+(y-1)²=25 is a required equation

Answer:

Mean: 67

Median: 66

Mode: no mode

Range: 14

Step-by-step explanation:

Answer:

mean

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

The room is 14ft high

Step-by-step explanation:

Given

[tex]Volume = 2016ft^3[/tex]

[tex]Base\ Area = 144ft^2[/tex]

Required

The height of the room

This is calculated as:

[tex]Volume = Base\ Area * Height[/tex]

Make Height the subject

[tex]Height = \frac{Volume}{Base\ Area}[/tex]

So, we have:

[tex]Height = \frac{2016ft^3}{144ft^2}[/tex]

[tex]Height = \frac{2016}{144}ft[/tex]

[tex]Height = 14ft[/tex]

Answer:

d=14in

Step-by-step explanation:

Solution

d=2r=2·7=14in

Hope this helped!!!

Answer:

16/81-3/4[

=[16×4-3×81]/[81×4]=-179/324 is your answer

Answer:

c is correct

Step-by-step explanation:

Answer:

c is right answer

Step-by-step explanation:

HOPE IT HELPS U

FOLLOW MY ACCOUNT PLS PLS

Answer:

Yes

Step-by-step explanation:

When dividing (or multiplying) two negative numbers, you end up with a positive number. The other slope is already positive. So 4/5=4/5

Answer:

1 out of 179

Step-by-step explanation:

1. 12/40 or 30% chance

2. 60

Explanation: 1. Not gonna lie i searched it up

2. x/200 times 12/40 = 2400/40

Answer:

[tex]\displaystyle f'(x) = 2x[/tex]

General Formulas and Concepts:

Calculus

Limits

Differentiation

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle f(x) = x^2[/tex]

Step 2: Differentiate

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Answer:

Wat?

Mark me as brainlist

Answer:

whats the question

Step-by-step explanation:

Answer:

-4 5/12

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

cuz itz IRRATIONAL

Answer:

The mean score is of 617.4.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Suppose that the scores on the questionnaire are normally distributed with a standard deviation of 80.

This means that [tex]\sigma = 80[/tex]

Suppose also that exactly 15% of the scores exceed 700.

This means that when X = 700, Z has a pvalue of 0.85. So X when X = 700, Z = 1.033. We use this to find [tex]\mu[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.033 = \frac{700 - \mu}{80}[/tex]

[tex]700 - \mu = 80*1.033[/tex]

[tex]\mu = 700 - 80*1.033[/tex]

[tex]\mu = 617.4[/tex]

The mean score is of 617.4.