Solve:
3/5 + 7/10 - 1/2=

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=18\\ \theta =40 \end{cases}\implies \begin{array}{llll} A=\cfrac{(40)\pi (18)^2}{360}\implies A=36\pi \\\\\\ A\approx 113.097 ~m^2 \end{array}[/tex]

Answer:

36π (m²) or ≈ 113.14 m²

Step-by-step explanation:

[tex]A_{circle}[/tex] = [tex]\pi r^{2}[/tex]

[tex]A_{sector}[/tex] = x

[tex]\frac{360^o}{40^o}[/tex] = [tex]\frac{18^2 \pi }{x}[/tex]

9 = [tex]\frac{18^2 \pi }{x}[/tex]

x = 36π

or

x ≈ 36 × [tex]\frac{22}{7}[/tex] ≈ 113.14 m ²

Answer:

C

Step-by-step explanation:

There are all types of radio signals traveling around us, just not the extra-terrestrial type!

Answer: 20,042

Step-by-step explanation: addion

Answer:

Width = 80 ft and length = 85 ft.

Step-by-step explanation:

Let the width be x ft then the length is x+5 ft.

width * length = area, so

x * (x + 5) = 6800

x^2 + 5x - 6800 = 0

( x - 80)(x + 85) = 0

x = 80, -85

We ignore the negative so x = 80 ft.

Width = 80 and length = 80+5 = 85 ft.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The amount of paint needed to paint 20 pillars is 9.874 gallons.

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

The curved surface area of a single-cylinder with a diameter of 2.5 feet and a height of 22 feet will be,

Curved surface area = πDh = π × 2.5 × 22 = 172.7875 ft²

The total area of 20 pillar = 20 × 172.7875 ft² = 3,455.75191 ft²

Since a gallon of paint can cover only 350 ft², therefore, the amount of paint that will be needed to paint 3,455.75191 ft² can be written as,

[tex]\text{Amount of paint needed} = \dfrac{3,455.75191\rm\ ft^2}{350\rm\ ft^2} = 9.874\rm\ gallons[/tex]

Hence, the amount of paint needed to paint 20 pillars is 9.874 gallons.

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Answer:

5/20, 2/9, 21%, 8%

Step-by-step explanation:

2/9 = 0.22

21% = 0.21

5/20 = 0.25

8% = 0.08

0.25>0.22>0.21>0.08

mark brainliest please!

The amount of Danielle's annual scholarship is $14,000.

Subtraction is an arithmetic operation that is used to determine the difference between two or more numbers. The sign used to represent subtraction is -.

annual scholarship = annual tuition - annual earning

$26,000 - $12,000 = $14,000

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Answer:

x = 7

y = 37

Step-by-step explanation:

congruent triangle LMN == PQR

Angle NLM = Angle RPQ

3x + 24 = 7x - 4

28 = 4x

x = 7

Angle LNM = Angle PRQ

2x + y = 180 - 84 - (7x - 4)

14 + y = 96 - (49 - 4)

14 + y = 51

y = 37

check answer

Angle LNM = 14 + 37 = 51

Angle NLM = 21 + 24 = 45

Angle LMN = 84

3 angles get a sum of 180

The area and perimeter of the lawn will be 322 square feet and 74 feet. If the lawn will be mowed. Then the area will be used. If the lawn will be surrounded by a rope. Then the perimeter will be used.

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The figure below shows a rectangular lawn.

Then the area of the rectangle will be

Area = 23 × 14

Area = 322 square feet

Then the perimeter of the rectangle will be

Perimeter = 2 (23 + 14)

Perimeter = 2 × 37

Perimeter = 74 feet

If the lawn will be mowed. Then the area will be used.

If the lawn will be surrounded by a rope. Then the perimeter will be used.

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Answer:

The answers would be D and C.

Hope this helps!

Answer:

52 square meters

Step-by-step explanation:

» Concepts

The surface area of a rectangular prism is the area of all the faces on it. The formula to find the TSA (total surface area) is 2(wl + hl + hw), where w = width, l = length, and h = height.

» Application

We're given the length as 4m, the width as 3m, and the height as 2m. Now, we just have to apply these values into our formula!

» Solution

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

The equivalent expression will be ~

[tex] \boxed{ \sf - 7y + 14 \: \: }[/tex]

1 1/2 = 1.5

1/2 as much as 1.5 is .75 or 3/4 of a bottle of mustard.

Brad's Snack Shack used 3/4 of a bottle of mustard yesterday.

Hope this helps <3

The equation of the graphed function is [tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]

The graph is a secant graph, and it has the following form

[tex]y = a\sec(bx) + c[/tex]

From the graph, we have the following parameters:

The amplitude (a) is calculated using:

a = 0.5 *(Local minimum - Local maximum)

a = 0.5 *(5 + 1) = 3

The vertical shift (c) is calculated using:

a = 0.5 *(Local minimum + Local maximum)

a = 0.5 *(5 - 1) = 2

The period (b) is calculated using:

[tex]b = \frac{2\pi}{T}[/tex]

This gives

[tex]b = \frac{2\pi}{6}[/tex]

Evaluate

[tex]b = \frac{\pi}{3}[/tex]

Substitute the values of a, b and c in [tex]y = a\sec(bx) + c[/tex]

[tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]

Hence, the equation of the graphed function is [tex]y = 3\sec(\frac{\pi}{3}x) + 2[/tex]

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Answer:

The answer is B.

Step-by-step explanation:

Looking at the option, a trend line best fits the data within the plot. Seeing Answer B has the line that goes through the plot.

Answer:

(7)(x² + 3x - 5)

Step-by-step explanation:

To Find the GCF : Prime factorize each term

As seen above, we can conclude the GCF is 7.

Therefore, by factoring using the GCF :

Answer:

let's use c as circumference, d for diameter

lets say c increases, d is related to c, d will also increase

if c decreases, d will too.

Let's put in this way.

Pretend you're at a store,

The more you spend, the more points you get in their loyalty program

C is going to be the amount you spend

D will be how many points you get

Spend more, more points

spend less, less points

P.S

C is the independent variable, D is the dependent variable. (I think that's the right way, if not ignore the postscript aka P.S)

Answer:

Yes, the cube on the right is more than twice as the cube on the left.

Answer:

Hi, your answer here would be based on reading this graph.  For question a, there are a total of 12 people who like vanilla with sprinkles, which means that it is 12 out of 24 or 1/2 or 0.5 or 50 percent.

For b) there is a total of 9 for chocolate, so the probability is 9 out of 24 or 37.5 percent or 3/8 or 0.375

For c) there are a total of 6 with no sprinkles out of 24 so it is 1/4 or 0.25 or 25 percent.

Step-by-step explanation:

Please mark me as brainliest :)

Edit: It seems you want to find the measure of the angle at vertex C.

Consider two vectors x and y, the first of which begins at vertex C and ends at B, and the other begins at C and ends at A. We want to find the angle between x and y. If γ (gamma) is the measure of this angle, then

x • y = ||x|| ||y|| cos(γ)

Translating these vectors so that they start at the origin O, we get

C to B : x = (-2, 2) - (6, -2) = (-8, 4)

C to A : y = (6, 4) - (6, -2) = (0, 6)

Compute the dot product of x and y :

x • y = (-8, 4) • (0, 6) = 24

Compute their magnitudes:

||x|| = √((-8)² + 4²) = 4√5

||y|| = √(0² + 6²) = 6

Solve for γ :

cos(γ) = (x • y) / (||x|| ||y||)

cos(γ) = 24/(24√5)

cos(γ) = 1/√5

γ = arccos(1/√5) ≈ 63.4349°

Answer:

First of all it's a geometric sequence and it is multiplying 2 every time

Step-by-step explanation:

2*2=4

4*2=8

8*2=16

Answer:

7 mm

Step-by-step explanation:

735pi=1/3*5*pi*r^2

735pi/1/3pi

147=5*r^2

49=r

If you have any questions please comment them!

Answer:

a) 80
b) 56

Step-by-step explanation:

a) Calculate the volume of the the cup using volume of cylinder equation: [tex]V = \pi r^{2} h[/tex]

Where V = Volume, r=radius, and h=height. Your answer should be in cubic inches ([tex]in^3[/tex]).
You're given diameter, so use equation [tex]d/2 = r[/tex] to find radius.
Substituting these equations will give you: [tex]V = \pi (d/2)^2 h[/tex]
However, the given volume of the sink is 3000[tex]\pi[/tex], meaning that you should modify your results to match this value. Do not substitute [tex]\pi[/tex] for 3.14..., leave it as a symbolic value. Your final V of the cup should = 37.5 [tex]\pi[/tex]
Divide the volume of the sink by the volume of the cup. This number will be the amount of cups needed to empty it. In equation form:
[tex]Vsink / V cup =[/tex] # of cups.
Note the the [tex]\pi[/tex] will cancel each other out, so there's not need to factor that in.
b) Repeat the steps above with the new d (diameter) value.

Answer: Heyaa! ~

Your Answer is... x = 5 ± √ 13/ 2

Step-by-step explanation:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.

Hopefully this helps you!

-Matthew ^^

Answer:

5

Step-by-step explanation:

List out the factors of each number (25,65,100) and get the largest common number which is 5 in this case.

Answer:

Five

Step-by-step explanation:

Prime factorize the three of them to find the answer

25 = 5 x 5

65 = 5 x 13

100 = 5 x 5 x 2 x 2  

The rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex]  Where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

Let's suppose the rate of the current  = r

The time it takes to go downstream + 4 hours   = time to go upstream

As we know the:

[tex]\rm Time = \dfrac{Distance}{ Rate }[/tex]

Now,

[tex]\rm \dfrac{44}{ (8 + r)} + 3 = \dfrac{44}{ (8 - r)}[/tex]

After solving:

[tex]\rm \dfrac{44}{ (8 - r)}-\dfrac{44}{ (8 + r)} =3[/tex]

After cross multiplication

44(8+r) - 44(8-r) = 3(8+r)(8-r)

88r = 3(64 - r²)

3r² + 88r - 192 = 0

After solving the above quadratic equation, we get:

r = 2.03 or

r=−31.37 (reject as it is negative)

So, the r  =2.03 mph

Thus, the rate of the current is 2.03 mph if the small motorboat travels 8mph in still water. It takes 3 hours longer to travel 44 miles going upstream than it does going downstream.

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Answer:

91

Step-by-step explanation:

(21)(3)+8−17+85−12+9−45

=63+8−17+85−12+9−45

=71−17+85−12+9−45

=54+85−12+9−45

=54+73+9−45

=54+82−45

=54+37

=91