Please Help!

Find X


X=_______

The area of this composite figure made from placing a sector of a circle on a triangle is 95.55 square cm

The sector area

The area of the sector is calculated as

Area = x/360 * πr²

Where

r² = 8² + 6²

So, we have

r² = 100

This means that

Area = 82/360 * π * 100

Evaluate

Area = 71.55

The triangle area

This is calculated as

Area = 0.5bh

So, we have

Area = 0.5 * 8 * 6

Evaluate

Area = 24

So, the area of the figure is

Figure = 24 + 71.55

Figure = 95.55

Hence, the area is 95.55

Read more about area at

https://brainly.com/question/22972014

#SPJ1

Answer:

40

Step-by-step explanation:

Let x represent the mystery number.

Create an equation to represent the situation, then solve for x:

0.85x - 5 = 29

0.85x = 34

x = 40

So, the mystery number is 40.

Answer:

Well, we know that there exists a function f(x) such that f(x-1) is a direct transformation of its parent function. First we want to set x=x-1. Conceptually, it might be easier just to annotate one of the x’s as a completely different variable, because we know that x doesn’t equal x-1. So let’s rewrite as x=y-1 and solve for y.

We now have y=x+1 where y(x) is actually our parent function and y(x)=f(x+1). So take our equation f(x-1) and substitute each x with (x+1). So f(x)=2(x+1) + 3

f(x)= 2x + 5. We can check this by finding f(x-1) because it should equal 2x+3.

f(x-1)= 2(x-1) + 5

f(x-1)= 2x + 3.

Hoped I helped

Answer:

81+27= candidates

candidates-37=81

Answer:

yeah

Step-by-step explanation:

Given dimensions:

x=31 feet, y= 24 feet and z= 95 feet

We can split the shape above into 3 components: A, B, and C

To find the total area, we will find the sum of the areas of each component

For A

The shape of A is that of a semi-circle.

The area of a semi-circle is given to be

The radius will be the diameter divided by 2

y= diameter

r= radius = y/2

r=24/2 =12 feet

pi=3.14

For B

The shape is a rectangle

The area of a rectangle is given by

A = l x b

where l = 31 and b = 24

Area = 31 x 24

Area = 744 square feet

For C

The shape is a triangle

The area of the triangle is given by

base = 64 feet, height = 24 feet

The total area is

22

Answer:

(2x² + 5x + 2) = (2x + 1)(x +2)

Step-by-step explanation:

Given expression is (2x² + 5x + 2).

We have to factorize the given expression.

(2x²+ 5x + 2) = 2x² + 4x + x + 2

                     = 2x(x + 2) + 1(x + 2)

                     = (2x + 1)(x + 2)

So the factored form of the given expression will be (2x + 1)(x + 2).

a) The break-even point for the division is: 4000 units

b) The level of sales for 10% profit is: 4681 units

The break-even point is defined as the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business. In other words, you've reached the level of production at which the costs of production equals the revenues for a product.

a) We are told that:

Selling price for income tax app = $8

Monthly fixed cost = $20000

Variable cost producing each app = $3

Thus:

8x = 3x + 20000

5x = 20000

x = 4000 units

b) 8x = 1.1(3x + 20000)

8x = 3.3x + 22000

4.7x = 22000

47x =220000

x = 4681 units

Read more about Break even point at: https://brainly.com/question/15281855

#SPJ1

Missing questions are:

(a) Find the break-even point for the division.

(x,y)=

(b) What should be the level of sales in order for the division to realize a 10% profit over the cost of making the income tax apps? (Round your answer up to the nearest whole number.)

The ways the assignments can be assigned to the students with the condition is 66 ways

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

Total number of questions, n = 12

Total numbers of students, r = 2

The number of ways the assignments can be assigned to the students is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 12 and r = 2

Substitute the known values in the above equation

Total = ¹²C₂

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 12!/10! * 2!

Evaluate

Total = 66

Hence, the number of ways is 66

Read more about combination at

brainly.com/question/11732255

#SPJ1

The total money spent on a pass and lunch for each student is $850.14.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

here,

As mentioned in the question, Passes for 28 pupils and 4 teachers cost the school $778.88 and the school also spends $241.64 on lunch for kids only.

Total number of person  = 28 + 4
                                     = 32
Cost per pass = 778.88 / 32
                     = $24.34
Total passes of students = 25 × 24.34 = 608.5
Total spend on lunch of student = 241.64
Total spend on lunch = 241.64 + 608.5 = $850.14

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ1

Answer:

x= c-3m/m+3-b

Step-by-step explanation:

use Math   way

Step-by-step explanation:

(b-m-3)x-3m+c =0

.

.

.

.

.

.

.

.

hope u got it!!

Answer:

There are 64 cubes

The volume = L*W*H

Answer:

See attachments

Step-by-step explanation:

Hope this helps.

Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 4 ← is in slope- intercept form

with slope m = - 3

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-3}\) = \(\frac{1}{3}\) , then

y = \(\frac{1}{3}\) x + c ← is the partial equation

to find c substitute (- 1, 5 ) into the partial equation

5 = - \(\frac{1}{3}\) + c ( add \(\frac{1}{3}\) to both sides )

5 \(\frac{1}{3}\) = c ⇒ c = \(\frac{16}{3}\)

y = \(\frac{1}{3}\) x + \(\frac{16}{3}\) ( multiply through by 3 to clear the fractions )

3y = x + 16

The resulting graph is a circle with center at (-3,-1) and radius 3.

The graph of the equation (x+3)²+(y+1)²=9

is a circle with center at (-3,-1) and radius 3. The equation of a circle with center (a,b) and radius r is given by the equation (x-a)² + (y-b)² = r². By comparing the given equation with the standard equation of a circle, we can easily see that the center of the circle is (-3,-1) and the radius is 3. To graph a circle, we need to first plot the center of the circle, which is (-3,-1) in this case. Next, we need to mark the radius of the circle, which is 3 units. We can do this by measuring 3 units from the center in any direction and marking the point. Since the radius of the circle is the same in all directions, we can repeat this process for other directions to get points on the circumference of the circle. We can use a compass to make this process easier. After plotting a sufficient number of points, we can draw a smooth curve passing through all the points to obtain the graph of the circle.

For more question  graph

https://brainly.com/question/5504986

#SPJ8

Answer:

\(BC=5.1\)

\(B=23^{\circ}\)

\(C=116^{\circ}\)

Step-by-step explanation:

The diagram shows triangle ABC, with two side measures and the included angle.

To find the measure of the third side, we can use the Law of Cosines.

\(\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)

In this case, A is the angle, and BC is the side opposite angle A, so:

\(BC^2=AB^2+AC^2-2(AB)(AC) \cos A\)

Substitute the given side lengths and angle in the formula, and solve for BC:

\(BC^2=7^2+3^2-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-42\cos 41^{\circ}\)

\(BC^2=58-42\cos 41^{\circ}\)

\(BC=\sqrt{58-42\cos 41^{\circ}}\)

\(BC=5.12856682...\)

\(BC=5.1\; \sf (nearest\;tenth)\)

Now we have the length of all three sides of the triangle and one of the interior angles, we can use the Law of Sines to find the measures of angles B and C.

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

In this case, side BC is opposite angle A, side AC is opposite angle B, and side AB is opposite angle C. Therefore:

\(\dfrac{\sin A}{BC}=\dfrac{\sin B}{AC}=\dfrac{\sin C}{AB}\)

Substitute the values of the sides and angle A into the formula and solve for the remaining angles.

\(\dfrac{\sin 41^{\circ}}{5.12856682...}=\dfrac{\sin B}{3}=\dfrac{\sin C}{7}\)

Therefore:

\(\dfrac{\sin B}{3}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin B=\dfrac{3\sin 41^{\circ}}{5.12856682...}\)

\(B=\sin^{-1}\left(\dfrac{3\sin 41^{\circ}}{5.12856682...}\right)\)

\(B=22.5672442...^{\circ}\)

\(B=23^{\circ}\)

From the diagram, we can see that angle C is obtuse (it measures more than 90° but less than 180°). Therefore, we need to use sin(180° - C):

\(\dfrac{\sin (180^{\circ}-C)}{7}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin (180^{\circ}-C)=\dfrac{7\sin 41^{\circ}}{5.12856682...}\)

\(180^{\circ}-C=\sin^{-1}\left(\dfrac{7\sin 41^{\circ}}{5.12856682...}\right)\)

\(180^{\circ}-C=63.5672442...^{\circ}\)

\(C=180^{\circ}-63.5672442...^{\circ}\)

\(C=116.432755...^{\circ}\)

\(C=116^{\circ}\)

\(\hrulefill\)

Additional notes:

I have used the exact measure of side BC in my calculations for angles B and C. However, the results will be the same (when rounded to the nearest degree), if you use the rounded measure of BC in your angle calculations.

The actual area of the park when a scale drawing of the park had a scale of 1 cm = 100 m is 4879m².

From the information, the scale drawing of a rectangur park had a scale of 1 cm = 100 m.

It should be noted that the dimensions are given as 4.1 cm and 11.9cm. The area of the scale will be:

= 4.1 × 11.9

= 48.79cm²

Therefore, the actual area of the park will be:

= 48.79 × 100

= 4879m²

Learn more about area on:

brainly.com/question/25292087

#SPJ1

The mean of M1 + M2 is 1.4

The standard deviation is  1.104536.

The mean of the number of mistakes = 0.7

The standard deviation of the number of mistakes = 0.781

(a) Mean of M1 + M2:

Mean of (M1 + M2)

= Mean(M1) + Mean(M2)

= μ + μ

= 2μ

=  2 * 0.7

mean of M1 + M2= 1.4

(b) Standard deviation of M1 + M2:

Standard deviation of (M1 + M2)

= √(Variance(M1) + Variance(M2))

Variance for (M1) = (σ²) = (0.781)² = 0.610561

Variance for (M2) = (σ²) = (0.781)² = 0.610561

Standard deviation for (M1 + M2)

= √(0.610561 + 0.610561)

= √1.221122

Standard deviation = 1.104536

Learn more about Standard deviation at:

https://brainly.com/question/24298037

#SPJ1

The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))

To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.

The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.

The total number of possible arrangements is given by the factorial of the total number of letters:

Total arrangements = 10!

However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:

Total arrangements = 10! / (2!)

To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.

For more such questions on probability

https://brainly.com/question/251701

#SPJ8

Answer:

can we go with D. 54 ?

the height and length is 9 and 6

9x6= 54

Answer:

B . 27 square units

Step-by-step explanation:

Area of triangle is 1/2 ×b×h

base is MN = 6 units

hight is 9 unis

so 1/2 ×6×9 = 3×9 =27 square Units

Answer:

2/5+(-3/5)

Step-by-step explanation:

2/5+(-3/5)

2/5 + 3/5

If you want the answer to it it's 1, and if I did it wrong then tell me what I did wrong.

Answer:

degree- 1

name- binomial i think

Answer:

Average time per day = 1.2 hours per day
Average time per day = 72 minutes per day

Step-by-step explanation:

To find Clarence's average time per day, we need to divide the total time he takes to walk the 15.5 miles by the number of days he walks, which is five.

Let's calculate his average time per day:

Average time per day = Total time / Number of days

Since Clarence takes a total of 6 hours to walk the 15.5 miles, we'll divide 6 by 5 to find his average time per day:

Average time per day = 6 hours / 5

Average time per day = 1.2 hours per day

To convert hours to minutes, we'll multiply the average time per day by 60:

Average time per day = 1.2 hours * 60 minutes

Average time per day = 72 minutes per day

Therefore, Clarence's average time per day is 72 minutes.

The total value of the prize is $936,000.

The state will need to invest $591,498.96 now at a 5% interest rate to cover the weekly prize payments for 20 years.

The total value of the prize is calculated by multiplying the annual payment by the number of years and is equal to:

=  $900/week x 52 weeks/year x 20 years

= $936,000.

We need to use the present value formula which is: PV = PMT x [1 - (1 + r)^-n] / r

Plugging in the values:

PV = $900 x [1 - (1 + 0.00096154)^-1,040] / 0.00096154

PV = $900 x 657.221075423

PV = $591,498.968.

Read more about state lotto

brainly.com/question/28988219

#SPJ1

Answer:

Step-by-step explanation:

use Pythagorean theorem:

a² + b² = c²

where a = x

           b = 8/2 = 4  

           c = √20

plugin values into the formula:

x² + 4² = (√20)²

x² + 16 = 20

x² = 20 - 16

x = √4

x = 2

Answer:

x is 8.9

Step-by-step explanation:

x/sin28 =19/sin90

x/sin28 = 19

x= 19 (sin 28)

x=8.9

Answer:

8.9

Step-by-step explanation:

The coordinate of point D and point E will be (x, y) and (-x, y), respectively.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line in the m:n ratio, finding the mid-point of the line, etc.

Let the coordinate of the point D be (x, y).

Point E has a similar y-coordinate as point D. Then the ordinate of the points will be the same.

And the x-direction of point E is something contrary to the x-direction of point D. Then the coordinate of point E will be (-x, y).

The coordinate of point D and point E will be (x, y) and (-x, y), respectively.

More about the coordinate geometry link is given below.

https://brainly.com/question/1601567

#SPJ1