(Will mark brainliest + 20 points :)) Gary randomly chose an item from the following lot. Use this lot to match the questions in the first column with their corresponding answer.

Answer:

210cm2

Step-by-step explanation:

Area of rectangle: HxW

Area of Triangle: 1/2 x bx h

There are 3 rectangles with the length of 14x3

14x3x3

= 14x9

= 126cm2

There are two triangles with the height of 12 and base of 14.

1/2x 14x 12

= 1/2x 168

= 168/2

= 84cm2

Now finally add them together:

84+126

= 210cm2

Answer:

A)[tex]^{28}P_4}=491400[/tex]

Step-by-step explanation:

Total number of members = 28

We are supposed to find the no. of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members

When 1 member is selected for Chairman position

So, 27 members will be left for the selection for the position of Vice chairman

When 1 member out of 27  is selected for Vice chairman position

So,26 members will be left for the selection for the position of secretary

When 1 member out of 26  is selected for secretary position

So,25 members will be left for the selection for the position of treasurer

Permutation relates to the act of arranging all the members of a set into some sequence or order,

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter.

So, we will use permutation over here

Formula [tex]^nP_r=\frac{n}{(n-r)!}[/tex]

Substitute n = 28 and r = 4

So,[tex]^{28}P_4=\frac{28!}{(28-4)!}=491400[/tex]

So, Option A is true

A)[tex]^{28}P_4}=491400[/tex]

Hence There are 491400 ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members.

The number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.

The given parameters

[tex]nP_r =\frac{n!}{(n- r)!}[/tex]

[tex]28 P4 = \frac{28!}{(28-4)!} = \frac{28!}{24!} = 491,400[/tex]

Thus, the number of ways the four offices of chairman, vice chairman, secretary, and treasurer be filled from a club with 28 members is 491,400.

Learn more about permutation here: https://brainly.com/question/3086912

Answer:

6x - 15y = -63

15x -15y = -90

Step-by-step explanation:

We need to multiply the two equations by a constant that will eliminate the y terms.

The two equations are:

2x - 5y = -21

3x - 3y = -18

Let us multiply the first by 3 and the second by 6. The resulting equations will be:

6x - 15y = -63

15x -15y = -90

Note: To solve the system of equations we can simply subtract the first from the second.

Step-by-step explanation:

Answer is;−

9

x

−

2

−

2

x

3

−

3

x

2

+

x

+

3

Simplify by adding terms.

Tap for more steps...

x

3

+

2

x

2

−

8

x

+

1

Answer:

-22

Step-by-step explanation:

Which part of the function is valid when x = -6

The first part

h(-6) = 4x+2 and let x = -6

        =4(-6) +2

        = -24 +2

         =-22

Answer:

-22

Step-by-step explanation:

Answer:

-9ab + 8a + 2

Step-by-step explanation:

Combine like terms and distribute the negative

_______________________________

Solution,

(-2ab+8a+8)-(7ab+6)

= -2ab+8a+8-7ab-6

= -2ab-7ab+8a+8-6

= -9ab+8a+2

Hope it helps..

Good luck on your assignment

__________________________

Answer:

Step-by-step explanation:

multiply 52 times 90% +52

Answer:

Option B is the correct answer.

Explanation:

The image below is the correct answer.

Step-by-step explanation:

Explanation:

An inscribed angle is an angle formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the inscribed angle. The other two endpoints define what we call an intercepted arc on the circle. The intercepted arc might be thought of as the part of the circle which is "inside" the inscribed angle. (See the pink part of the circle in the picture above.)

A central angle is any angle whose vertex is located at the center of a circle. A central angle necessarily passes through two points on the circle, which in turn divide the circle into two arcs: a major arc and a minor arc. The minor arc is the smaller of the two arcs, while the major arc is the bigger. We define the arc angle to be the measure of the central angle which intercepts it.

The Inscribed Angle Conjecture I gives the relationship between the measures of an inscribed angle and the intercepted arc angle. It says that the measure of the intercepted arc is twice that of the inscribed angle.

The precise statements of the conjectures are given below. Each conjecture has a linked Sketch Pad demonstration to illustrate its truth (proof by Geometer's Sketch Pad!). The linked activities sheet also include directions for further "hands on" investigations involving these conjectures, as well as geometric problems which utilize their results.

The precise statement of the conjectures:

Conjecture (Inscribed Angles Conjecture I ): In a circle, the measure of an inscribed angle is half the measure of the central angle with the same intercepted arc..



Corollary (Inscribed Angles Conjecture II ): In a circle, two inscribed angles with the same intercepted arc are congruent.



Proof: The measure of each inscribed angle is exactly half the measure of its intercepted arc. Since they have the same intercepted arc, they have the same measure.

Corollary (Inscribed Angles Conjecture III ): Any angle inscribed in a semi-circle is a right angle.



Proof: The intercepted arc for an angle inscribed in a semi-circle is 180 degrees. Therefore the measure of the angle must be half of 180, or 90 degrees. In other words, the angle is a right angle.

Answer:

ABC = 60

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

ACD = B+ A

100 = 40 + B

Subtract 40 from each side

100-40 = 40+B -40

60 = B

ABC = 60

Answer:

60°

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.           1

1.          1  1

2.         1  2  1

3.        1  3  3  1

4.       1  4  6  4  1

5.      1  5  10  10  5  1

6.     1  6  15  20  15  6  1

7.    1  7  21  35  35  21  7  1

8.   1  8  28  56  70  56  28  8  1

Answer:

1/15

Step-by-step explanation:

Jesse drives to work. The distance Jesse’s car travels (d) on a number of gallons of gas (g) is given by the equation d = 15g. The constant of proportionality in terms of distance traveled per gallon of gas is 1/15.

the equation is...

d=15g

Now lets solve for 1 gallon of gas

d=15g

d=15(1)

d=15

This means that for every 1 gallon of gas, 15 (insert missing unit of distance here) can be driven.

15/1=15

1/15

please mark me brainliest :)

Answer:

If the answer asks for improper fraction it is [tex]\frac{15}{8}[/tex]

If it asks for simplest form it is [tex]1\frac{7}{8}[/tex]

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

[tex]1.875=\frac{1.875}{1}[/tex]

Multiply to remove 3 decimal places. Here, you multiply top and bottom by [tex]10^3=1000[/tex]

[tex]\frac{1.875}{1} *\frac{1000}{1000} =\frac{1875}{1000}[/tex]

Find the Greatest Common Factor (GCF) of 1875 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 125

[tex]\frac{1875/125}{1000/125} =\frac{15}{8}[/tex]

Simplify the improper fraction

[tex]=1\frac{7}{8}[/tex]

Answer:

An 18 sided shape.

Since the sum of the exterior angles of a polygon is 360° and an angle of the regular polygon is 20°, then 360° / 20° is the number of sides. We find the answer = 18, an octadecagon

I believe the normal distribution is symmetrical above and below

the mean.  That tells us that in this kind of distribution, the mean

and the median are the same number ... 50% of the population

is below it, and 50% is above it.

So if the female Labs' weight actually follows a 'normal' distribution

with a mean of 62.5 lbs, then 2,700 of them weigh more than 62.5 lbs

and 2,700 of them weigh less than that. 

The standard deviation doesn't matter.  

Answer:

x = 15                   x = -13

Step-by-step explanation:

|x-1|=14

There are two solutions to the absolute value equation, one positive and one negative

x-1 = 14   and x-1 = -14

Add 1 to each side

x-1+1 = 14+1     x-1+1 = -14+1

x = 15                   x = -13

Answer:

x= 13 or -13

Step-by-step explanation:

Substitute x for 13

|13+-1|=14

13+1=14

14=14

Now try -13

|-13+-1|=14

13+1=14

14=14

Answer:

d. 8

Step-by-step explanation:

sin(α) = opposite/hypotenuse

sin(30°) = 4/x

x = 4/sin(30°) = 4/(1/2) = 8

Answer:

65.46 meters cubed

Step-by-step explanation:

Answer: the answer is V= 125/6πm^3

Step-by-step explanation: edge 2021

Answer:

Arc = angle/360° x 2πr

13) = 72/360 x 2π x 25

= 1/5 x 2π x 25 = 10π

14) 270/360 x 2π x 2

= 3/4 x 4π = 3π

________________________________

Solution,

(8y-7)-(1-3y)

= 8y-7-1+3y

= 8y+3y-7-1

=11y-8

Hope it helps

Good luck on your assignment

_____________________________

Line C shown in the graph has a required slope of 3/4.

Given that,
A figure is shown we have to determine a line that has a slope of 3/4.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanФ where x in degrees.

m  =(y₂ - y₁) /  (x₂ - x₁) = tanФ

here,
The slope of the line A = ∞
The slope of the line D = 0
The slope of the line B = 4/ 3
The slope of the line C = 3/4

Thus, Line C shown in the graph has a required slope of 3/4.

Learn more about slopes here:
https://brainly.com/question/3605446

#SPJ3

Answer:

18

Step-by-step explanation:

The formula for interior angles in a ngon is

(n-2)*180

2880/180=16

n-2=16

n=18

Answer:

Step-by-step explanation:

the correct question is

A briefcase in the shape of a rectangular prism has a height of 10 cm and a volume of 4,875 cm³. What is the area of the base of the briefcase?

we know that

volume of a rectangular prism=area of the base*height

volume=4875 cm³

h=10 cm

area of the base=volume/height

area of the base=4875/10-----> 487.5 cm²

the answer is

the area of the base is 487.5 cm³

Answer:

487.5 cm³

Step-by-step explanation:

We would prefer to use a graphing calculator because it will give a more exact solution, because it is easier to read, and because it is faster to do.

There are multiple ways, one of them is by graphing the lines and seeing where the lines intersect.

Now, there are two ways of doing this, graphing by hand and using a graphing calculator.

There are cases where graphing by hand is enough, but is more time-consuming than using a graphing calculator. But there are cases where the intersection happens at a point with irrational values, these cases is really hard to find the solution in a graph by hand (as it can have mistakes and you can't zoom in). While if you used a graphing calculator, you could zoom is as much as you want, so you would get a really good estimation for the solution.

If you want to learn more about systems of equations, you can read:

https://brainly.com/question/13729904

Answer:

Step-by-step explanation:

3x -20 -4x =4x -(3x -2)

3x - 20 -4x = 4x -3x+2

-x-20 =x +2

-20-2=x +x

-22=2x

x= -22/2

x=-11

Answer:

32.72

Step-by-step explanation:

36.36/100

0.3636

0.3636 times 90 (I use 90 because 100-10=90) 10% tax, so 90% original cost.

32.72

Answer:

Option 1) is correct

Step-by-step explanation:

Given: The graph shows the distance in miles, m, hiked from a camp in h hours.

To find: hourly interval that had the greatest rate of change

Solution:

Rate of change between two points refers to the vertical change divided by the horizontal change.

For hour 0 to hour 1:

rate of change = [tex]\frac{2-0}{1-0}=2[/tex]

For hour 2 to hour 3:

rate of change = [tex]\frac{4.5-3.5}{3-2}=1[/tex]

For hour 1 to hour 2:

rate of change = [tex]\frac{3.5-2}{2-1}=1.5[/tex]

For hour 3 to hour 4:

rate of change = [tex]\frac{5-4.5}{4-3}=0.5[/tex]

So, rate of change is greatest in interval: hour 0 to hour 1

The greatest rate of change between the interval 0 to 1 hour.

Given that,

The graph below shows the distance in miles, m, hiked from a camp in h hours.

We have to determine,

Which hourly interval had the greatest rate of change?

According to the question,

The greatest rate of change between the interval is determined by the rate of change between two points refers to the vertical change divided by the horizontal change.

1. The rate of change between 0 to 1 hours is,

[tex]\rm Rate \ of \ change = \dfrac{2-0}{1-0}\\\\ Rate \ of \ change= \dfrac{2}{1}\\\\ Rate \ of \ change= 2[/tex]

The rate of change between 0 to 1 hour is 2.

2. The rate of change between 2 to 3 hours is,

[tex]\rm Rate \ of \ change = \dfrac{4.5-3.5}{3-2}\\\\ Rate \ of \ change= \dfrac{1}{1}\\\\ Rate \ of \ change= 1[/tex]

The rate of change between 2 to 3 hours is 1.

3. The rate of change between 1 to 2 hours is,

[tex]\rm Rate \ of \ change = \dfrac{3.5-2}{2-1}\\\\ Rate \ of \ change= \dfrac{1.5}{1}\\\\ Rate \ of \ change= 1.5[/tex]

The rate of change between 1 to 2 hours is 1.5.

4. The rate of change between 3 to 4 hours is,

[tex]\rm Rate \ of \ change = \dfrac{5-4.5}{4-3}\\\\ Rate \ of \ change= \dfrac{0.5}{1}\\\\ Rate \ of \ change= 0.5[/tex]

The rate of change between 2 to 3 hours is 1.

Hence, The required greatest rate of change between the interval 0 to 1 hour.

For more details refer to the link given below.

https://brainly.com/question/2137763

Answer:

The answer is option c.

4x³ + x² - 20x - 5

Answer:

C

Step-by-step explanation:

Answer:

3x-5+19-x+2x

5x-x=14

4x=14

Hope that helps

Answer:

B

Step-by-step explanation:

Answer:

A approximation of 34 minutes and 30 seconds each day .

Step-by-step explanation:

First you would need to convert 4 hours to minutes , so 1 hour equals 60 minutes - 60 min = 1 hour, 60 min times 4 = 240 minutes in total. There are 7 days in total of the week, 240 minutes - 7 days of the week : 240 divided by 7 , equals a approaximation of 34 minutes and 30 seconds each day.