John wants to nail a thumbtack on his circular board, pictured below. If the thumbtack is equally likely to be placed anywhere on the board, what is the probability that the thumbtack will be placed on the inner circle? Use 3.14 for , and round your answer to the nearest whole percent. A. 51% B. 55% C. 57% D. 60%

Answer:

Hey there!

The surface area of the triangular pyramid can be expressed as: 4 times the area of one triangle.

The area of one triangle is 17.32, so the total surface area is 69.28.

Hope this helps :)

The surface area of the triangular pyramid will be equal to 692.8 square inches.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.

Given that:-

The formula for the surface area of the pyramid is given as follows;-

SA =  Base area + (1/2) [ Perimeter  x  Slant height ]

SA =  [ (1/2) x  20  x 17.32)]  + (1/2) [ 60   x   17.32 ) ]

SA=  [  173.2   +  519.6 ]

SA = 692.8 squarer inches

Therefore the surface area of the triangular pyramid will be equal to 692.8 square inches.

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Answer:

Height above the bottom gorge is 113 feet

Step-by-step explanation:

The width of the gorge = 40 feet

The height of the higher cliff = 158 feet

The height of the lower cliff = 98 feet

The length of the bridge = √((158-98)² + 40²) = 72.11 feet

The slope of the bridge = (158-98)/40 = 1.5

The length of 1/4 of the bridge from the lower cliff =72.11 - 3/4×72.11 = 18.03 feet

The angle of inclination of the bridge = tan⁻¹(1.5) = 56.31°

The height above the bottom at 3/4 from the higher cliff = The height above the bottom at 1/4 from the lower cliff = 98+ 18.03×sin(56.31 ) = 113 feet

Which can also be found directly from the heights of the two cliffs knowing that 3/4 from the higher cliff = 1/4 from the lower cliff giving;

Height above the bottom gorge = 98 + 1/4×(158 - 98) = 113 feet.

Answer:

(4,7.5)

Step-by-step explanation:

Reflect (-4,7.5) at the y-axis

The red graph is the black graph reflected in the y axis, y = f(-x)

It's an odd way to write it, but the answer is:

Answer: D

Answer:

1: C) y = -x + 1

2: D) y = -3x + 8

Step-by-step explanation:

Well number 1,

c is the correct option because,

-2 -> 2

2+1 - 3

This rule applies for all the x values.

2,

X: -2, -1, 0, 1, 2

Y: 14, 11, 8, 5, 2

d is the correct option because -3*-2 is 6 + 8 = 14.

this rule applies for all x values.

Thus,

the answers are C and D.

Hope this helps :)

Answer:

44

Step-by-step explanation:

96 divided by 4 add 5 times 2 squared equals 44

Answer:

44

Step-by-step explanation:

BIDMAS

B: Brackets

I: Indices

D: Division

M: Multiplication

A: Addition

S: Subtraction

96 divided by 4 + 5 x 2^2

96 divided by 4 + 5 x 4

96 divided by 4 = 24

24 + 5 x 4

24 + 20

24 + 20 = 44

Answer:

33/20

Step-by-step explanation:

1/12 - 1/15 = 5/60 - 4/60 = 1/60

d = 1/60

a_n = a_1 + d(n - 1)

a_11 = 1/15 + (1/60)(11 - 1)

a_11 = 1/15 + 1/6

a_11 = 4/60 + 10/60

a_11 = 14/60

a_11 = 7/30

a_12 = 14/60 + 1/60

a_12 = 15/60

a_12 = 1/4

s_n = n(a_1 + a_n)/2

s_11 = 11(1/15 + 7/30)/2

s_11 = 11(2/30 + 7/30)/2

s_11 = 11(9/30)/2

s_11 = 99/60

s_11 = 33/20

Answer:

commutative property of multiplication

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given data:

Circumference of the base of the cone = 24in.

Recall that circumference (in this case) is the distance round the base of the cone and from here the diameter D=12in. Radius = 6in

Surface area l = pie x radius ( slant height + radius)

= 3.142 x 6 (20 + 6)

= 3.142 x 6 (26)

= 3.142 x 156

= 490.152in^2

Answer:

384pi inches   hop it halp!!!

Step-by-step explanation:

Answer:

The salary of the governor of state A is $171,575 and the salary of the governor of state B is $117,830.

Step-by-step explanation:

If the governor of state A's salary is "x" and the governor of state B's salary is "y", then:

[tex]x = y + 53,745[/tex]

If the total of their salaries is $289,405, then the sum of x and y should be equal to that number.

[tex]x + y = 289,405\\[/tex]

Applying the first expression on the second allows us to solve for y as shown below.

[tex]y + 53745 + y = 289405\\2y = 289405 - 53745\\2y = 235660\\y = 117830[/tex]

Using this data on the first expression allows us to solve for the first governo's salary.

[tex]x = 117830 + 53745 = 171575[/tex]

The salary of the governor of state A is $171,575 and the salary of the governor of state B is $117,830.

Answer:

80 dollars

Step-by-step explanation:

l=prt ⇒ p=l/rt

20=p(0.05)(5)

P=20/0.25=80 dollars

Answer:

The answer is $80

Step-by-step explanation:

I just got it right

Answer:

[tex] \theta = 210^\circ [/tex] or [tex] \theta = 330^\circ [/tex]

Step-by-step explanation:

[tex] 4 \sin \theta - 1 = -3 [/tex]

[tex] 4 \sin \theta = -2 [/tex]

[tex] \sin \theta = \dfrac{-2}{4} [/tex]

[tex] \sin \theta = -0.5 [/tex]

For sin θ = 0.5, the reference angle is θ = 30 deg.

[tex] \sin 30^\circ = 0.5 [/tex]

[tex] \theta = 210^\circ [/tex] or [tex] \theta = 330^\circ [/tex]

Answer:

D. ( 2w+6). (w)

i tried my best

hope this is the answer

stay at home stay safe

Answer:

Negative StartFraction 1 Over 27 EndFraction

(-1/27)

Step-by-step explanation:

Given expression

(P^-5)(p^-4)(q^3)

When

P=3 and q=-9

(P^-5)(p^-4)(q^3)

=(3^-5)(3^-4)(-9^3)

=(1/3^5)(1/3^4)(-9^3)

=(1/243)(1/81)(-729)

Multiply all numerators

We have,

= (-729)/(243)(81)

Multiply all denominators

= -729/19,683

= -1/27

Negative StartFraction 1 Over 27 EndFraction

Answer:

-1/27

Step-by-step explanation:

Step-by-step explanation:

-2x + 3 – (5 – 6x)

=-2x + 3 - 5 + 6x

= 4x - 2

Answer:

4x - 2

Step-by-step explanation:

We have to combine the like terms which are -2x and 6x. We will get 4x. Next, we have to subtract 3 - 5 and we get -2. This brings us to the conclusion of 4x - 2.

Answer:

The best fit is A. Linear model

Step-by-step explanation:

Given:

Monthly Rate = $20, Number of customers = 5000

If there is a decrease of $1 in the monthly rate, the number of customers increase by 500.

To find:

The type of model that best fits the given situation?

Solution:

Monthly Rate = $20, Number of customers = 5000

Let us decrease the monthly rate by $1.

Monthly Rate = $20 - $1  = $19, Number of customers = 5000 + 500 = 5500

Let us decrease the monthly rate by $1 more.

Monthly Rate = $19 - $1  = $18, Number of customers = 5500 + 500 = 6000

Here, we can see that there is a linear change in the number of customers whenever there is decrease in the monthly rate.

We have 2 pair of values here,

x = 20, y = 5000

x = 19, y = 5500

Let us write the equation in slope intercept form:

[tex]y =mx+c[/tex]

Slope of a function:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{5500-5000}{19-20}\\\Rightarrow -500[/tex]

So, the equation is:

[tex]y =-500x+c[/tex]

Putting x = 20, y = 5000:

[tex]5000 =-500\times 20+c\\\Rightarrow c = 5000 +10000 = 15000[/tex]

[tex]\Rightarrow \bold{y =-500x+15000}[/tex]

Let us check whether (18, 6000) satisfies it.

Putting x = 18:

[tex]-500 \times 18 +15000 = -9000+15000 = 6000[/tex] so, it is true.

So, the answer is:

The best fit is A. Linear model

Answer:

1. 24 x

Step-by-step explanation:

Area = (6x +1)(6x-1)

which means

length = 6x+1

width = 6x -1

as perimeter = 2 (length + width)

                     = 2 (6x +1+6x -1)

                     = 2(12x)

                    =24x

Answer:

a

Step-by-step explanation:

Cylinders:

Ratio of radii = 1 : 4

Radius of two cylinders are: r , 4r

Ratio of height = 3 :1

Height of two cylinders are: 3h , h

Lateral surface area of cylinder =  2πrh

Ratio of lateral surface area= 2π* r * 3h   : 2π* 4r * h

                                             = 3 : 4

Answer:

see explanation

Step-by-step explanation:

Any point that lies on the line is a solution to the equation.

Thus

(0, 1 ), (2, 0 ), (- 2, 2), (4, - 1 ) are all solutions

Answer:

[tex]\boxed{(6, -2)}[/tex]

Step-by-step explanation:

Any of the points that lies on the line is the solution to the equation of the line.

(-2, 2), (0, 1), (2, 0), (4, -1), (6, -2) are all solutions.

Answer:

Here,

The circle is cut into 6 equal parts.

It means all the piece of circle is divided forming 60°.

And according to the question we have shade its 1/3part.

means 1/3×360°

=120° so, we should shade 2 pieces of circle.

Hope it helps...

Answer:

The median number of words in Luis's essays is 205.5.

Step-by-step explanation:

To find the median number of words in Luis's essay, first arrange the values in the data set in ascending order:

177, 178, 189, 198, 198, 213, 221, 236, 245, 253.

Because the number of values in the data set is an even number (10), the median is the mean of the two middle values, the fifth and sixth values, in the data set. The fifth and sixth values are 198 and 213, respectively. So,

median .

The median number of words in Luis's essays is 205.5.

The median number of words in Luis's essays is 231.

The median is defined as the value range. To get it, arrange the numbers in ascending order from smallest to largest, then hide one number on either end until you reach the center.

The number of words in Luis's essays arranged in order from smallest to largest is:

177, 178, 189, 198, 198, 210, 213, 221, 228, 231, 231, 236, 236, 244, 245, 245, 245, 253, 259, 286

Since there are 20 numbers in the list, the median will be the average of the 10th and 11th numbers:

Median = [(n/2)th term + ((n/2) + 1)th term]/2

Median = [(20/2)th term + ((20/2) + 1)th term]/2

Median = [10th term + 11th term]/2

Median = [231 + 231]/2

Median = 462/2

Median = 231

Therefore, the median number of words in Luis's essays is 231.

Learn more about the median of data here:

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The complete question is as follows:

Luis and Darcy are required to write essays for their English class. The table shows the number of words t wrote for 10 randomly chosen essays. Complete the steps below to compare the number of words in Luis’s and Darcy's essays using the mean and the median. Luis Darcy 178 231 213 210 198 245 245 259 236 286 198 245 221 231 253 244 189 236 177 228. What is the median number of words in Luis’s essays?

Answer:

~226.195cm 2

Step-by-step explanation:

1. Because the shaded region is exactly one half of the circle, this means the Shaded area = 1/2 larger circle area

2. Calculate the area of the circle using the radius

3. Use that halved to get your final answer.

Hope this helped! Comment if you have any questions. :)

Answer: 25882325

Step-by-step explanation:

Simply do 4585*5645 in a calculator.

hope it helps <3

Answer:

Hey there!

The answer is 25882325.

Hope this helps :)

Answer:

Options (1), (2) and (5)

Step-by-step explanation:

Outcomes from the quadratic function given in the graph,

1). Negative y-intercept of the graph represents the loss to the store when x = 0 Or the loss when no clerk is working.

2). Peak of the parabola represents a point (vertex) with x-coordinate as number of clerks working = 4 and y-coordinate as maximum profit earned by the store = $400,000

3). x-intercept of the graph shows the number of clerks working at store when profit earned by the store is zero.

Graph reveals that the store is in loss when number of clerks is zero and 8.

Summarizing these outcomes from the graph,

Options (1), (2), (5) are the correct options.

The function graphed models the profits, P(c), in thousands of dollars a store earns as a function of the number of clerks, c, working that day.

Which statements are true based on the model?

Answer:

i believe a=105, b=29, and c=45

Answer:

I think its 90

Step-by-step explanation:

Answer:

E=90

Step-by-step explanation:

because EFG=JKL                                                                                                                                          E=J                      F=K                   G=L

Triangles are congruent

Step-by-step explanation:

Law of Side, Side, Angle

Thier base are same (PR).

Thier 1 side is equal to 2 inch (PS = RQ).

Thier 1 angle is equal (/_ PRQ = /_ RPS)

So, Its prove that both triangles are congruent.

Answer:

please mark my answer brainliest

Step-by-step explanation:

can you tell me a subscript n =sin to the power theta +cosec to the power n theta...and a subscript 1 =2...then prove that a subscript n =2...

Divide the two numbers to find the ratio:

400 / 1200 = 1/3

The ratio is 1:3

Answer:

B

Step-by-step explanation:

Gear A has 400 teeth.

Gear B has 1200 teeth.

Write as a ratio of gear A to gear B.

400:1200

Simplify the ratio.

4:12

1:3