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Part of the roof of a factory is devoted to mechanical support and part to green space. The area G that is designated as green space can be modeled by the polynomial 2x^2 - 7x and the area M that is devoted to mechanical support can be modeled by the polynomial x^2 - 9x + 24. Given that the area R of the roof is 36 square yards, write and solve a quadratic equation to find the total area of the green space. **Use the positive value for your solution.

(Hint: R = G + M)

Answer:

28*3.14in

Step-by-step explanation:

Let's consider the formula of these shape first.

For the cylinder

Volume = πr²h

While for the cone

Volume = 1/3πr²h

Just mere looking at the formula we know that if the volume of the cylinder is given, that of the cone will be 1/3 of it.

From the question .

The two have same base and height, indicating equal radius also.

If the volume of the cylinder is 84*3.14in then that of the cone will he 1/3 of 84*3.14in = 28*3.14in

There are 118 adult tickets sold

This is because 354/3 =118

and 118+118=236

236 are the child tickets

therefore 118 are the adult tickets.

Hope this helped!

The total number of adult ticket sold is 118 tickets.

Let's write "x" to represent how many adult tickets were sold.

The information provided indicates that there were twice as many student tickets sold as adult tickets. The quantity of student tickets sold can therefore be stated as 2x.

There were 354 total tickets sold, which includes both student and adult tickets.

We may construct an equation based on the total number of tickets to resolve this issue:

x + 2x = 354

Combining comparable variables

3x = 354

x = 354 / 3

x = 118

118 adult tickets were consequently sold.

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Answer:

The last 4th one is correct

Answer:

[tex]\displaystyle \text{Midpoint} = \boxed{ \displaystyle \bigg(0,\frac{1}{2} \bigg) }[/tex]

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Coordinate Plane

Midpoint Formula:
[tex]\displaystyle \bigg(\frac{x_1 + x_2}{2},\frac{y_1 + y_2}{2} \bigg)[/tex]

Step-by-step explanation:

Step 1: Define

Identify given.

[tex]\displaystyle\text{Point A} (-6, 8) \\\text{Point B} (6, -7) \\\begin{aligned}x_1 & = -6 \\x_2 & = 6 \\y_1 & = 8 \\y_2 & = -7 \\\end{aligned}[/tex]

Step 2: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find the midpoint:

∴ we have found the midpoint of the line segment AB.

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Topic: Algebra I

[tex]\huge\underline\mathcal{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

let the mid point be named P ( x , y )

Now ,

By Mid Point Formula ,

[tex]\bold{P(x,y) = ( \frac{ x_{1} + x_{2} }{2} \: , \: \frac{ y_{1} + y_{2}}{2} )} \\ [/tex]

According the the Question , we get to know that

[tex]\bold{x_{1} = - 6 \: \: \: , \: \: \: x_{2} = 6} \\ \\\bold{ y_{1} = 8 \: \: \: , \: \: \: y_{2} = - 7}[/tex]

Substituting the values in the mid point formula ,

[tex]\bold{P(x,y) = ( \frac{ - 6 + 6}{2} \: \: , \: \: \frac{8 + ( - 7)}{2} )} \\ \\ \bold{\implies \: P(x,y) = ( \frac{0}{2} \: \: , \: \: \frac{1}{2} )} \\ \\ \bold{\implies \: P(x,y) = (0,0.5)}[/tex]

hope helpful ~

Answer:

14,400

Step-by-step explanation:

i=prt

p=40,000

r=0.09 have to turn percent to decimal

t=4

(40,000)(0.09)(4)

Answer:

Well, this is simple.

I=PRT

(Interest= Principle*Rate*Time)

So, simply divide both sides by PR

T=I/PR

Your answer is C: T = I divided by the quantity P times R

(This should have been represented as: T= I/PR)

~Hope this helps

Step-by-step explanation:

Answer:

6x-y=2 is the equation

Step-by-step explanation:

The formula is y= mx+c where m= slope and c = y-intercept

so replacing their values,

y = 6x -2

y+2= 6x

6x-y = 2 is the required equation.

Answer:

y=6x-2

Step-by-step explanation:

Answer: to write an equation it has to be y=mx+b

The slope is 6, so you substitute the 6 in for the m. M is always the slope.

You also keep the x there.

The y intercept, also know as b, is -2 so you substitute that in for b.

Then you get the equation on the line.

y=6x-2!

Hope this helps. :)

Answer:A

Step-by-step explanation:

Answer:

Length = x^2 = 0.835^2 = 0.698 m = 69.8cm

Breadth = x = 0.835 m = 83.5cm

Step-by-step explanation:

Given;

Length of the rectangular plot l = x^2 m

Breadth b = x m

Area A = 5832 cm^2 = 0.5832 m^2

(They should be converted to the same units before solving: length in metres and area in square metres)

The area of a rectangular plot can be calculated using the formula;

Area = length × breadth

A = l × b

Substituting the values of l and b;

A = x^2 × x

A = x^3

Substituting the value of A;

0.5832 = x^3

solving for x;

x = (0.5832)^(1/3)

x = 0.835 m

Length = x^2 = 0.835^2 = 0.698 m = 69.8cm

Breadth = x = 0.835 m = 83.5cm

Answer: I’m confident with Kai being the correct answer

Kai labeled the triangles such that ΔABC is similar to ΔXYZ.

A triangle is a two-dimensional geometrical figure that has three sides, three vertices, and three interior angles.

As per Tatyanna:

In ΔABC, ∠B = 54.3°, ∠C = 61.2°

Therefore, ∠A = 180° - (54.3° + 61.2°) = 64.5°

In ΔXYZ, ∠Z = 64.5°, ∠Y = 54.3°

Therefore, ∠X = 180° - (64.5° + 54.3°) = 61.2°

As per Simon:

In ΔABC, ∠A = 63.2°, ∠B = 58.4°

Therefore, ∠C = 180° - (63.2° + 58.4°) = 58.4°

In ΔXYZ, ∠Z = 63.2°, ∠Y = 58.4°

Therefore, ∠X = 180° - (63.2° + 58.4°) = 58.4°

As per Anders:

In ΔABC, ∠A = 59.8°, ∠B = 60.6°

Therefore, ∠C = 180° - (59.8° + 60.6°) = 59.6°

In ΔXYZ, ∠X = 59.8°, ∠Z = 60.6°

Therefore, ∠Y = 180° - (59.8° + 60.6°) = 59.6°

As per Kai:

In ΔABC, ∠B = 60.9°, ∠C = 57.7°

Therefore, ∠A = 180° - (60.9° + 57.7°) = 61.4°

In ΔXYZ, ∠X = 61.4°, ∠Z = 57.7°

Therefore, ∠Y = 180° - (61.4° + 57.7°) = 60.9°

Therefore, the sequence and the value of the angles for ΔABC and ΔXYZ matches only with Kai's drawings.

Therefore, as per his drawings, ΔABC and ΔXYZ will look similar.

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Answer:

17

Step-by-step explanation:

f(x)=7(3)-4     Distributive Property

f(x)=21-4        Subtract

f(x)=17

The value of f(3) is 17

Function, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics and are essential for formulating physical relationships in the sciences.

Given:

f(x)=7x-4

Now for x=3

f(3)= 7*3-4

=21-4

=17

Hence, the value of function is 17.

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Answer:

13

Step-by-step explanation:

We have the following expression:

[tex]8^{\frac{2}{3} } -\sqrt{9}*10^{0} + (\frac{1}{144}) ^{-\frac{1}{2} }[/tex]

If we do part by part, we have remains:

[tex]8^{\frac{2}{3} }[/tex] = 4

8 = 2^3

Therefore, the exponents 3 * 2/3 = 2 are multiplied

2^2 = 4

[tex]\sqrt{9}*10^{0}[/tex] = 3

We know that the root of 9 is equal to 3 and that every number raised to 0 is equal to 1, therefore 1 * 3 = 3

[tex](\frac{1}{144}) ^{-\frac{1}{2} }[/tex] = 12

When the exponent is negative, the fraction can be inverted and at the end there is 144 ^ 1/2, which would be the root of 144, which is equal to 12.

So, we have:

4 - 3 + 12 = 13

Archaeology students are constructing a replica of the Great Pyramid of Giza that they will then fill with sand. The replica is to be 120the size of the original pyramid. The Great Pyramid is approximately 147 meters tall and each side of the base is approximately 230 meters long. Based on these measurements, how many cubic meters of sand will the students need? Round your answer to the nearest whole number.

Answer: 972 m^3 of sand

Step-by-step explanation:

Height of original pyramid = 147 meters

Each side of the base = 230 meters (that is both the base length and base width).

If replica pyramid is to be 1/20 the size of the original pyramid :

Size dimension of replica pyramid will therefore be,

Height = 1/20 × 147 = 7.35metres

Each Base = 1/20 × 230 = 11.5 metres

To calculate the amount of sand required, we can get these by Calculating the volume of the pyramid which us the amount of space occupied by an object.

The volume of a pyramid is given by:

(Base length × base width × height) ÷ 3

( 7.35 m × 11.5 m × 11.5 m) / 3

972.0375 m^3

That means the volume of the pyramid is 972.0375 m^3

Answer:

its 24

Step-by-step explanation:

because negative times negative is positive

Answer:

i think the answer is C

Step-by-step explanation:

Answer:

Look below.

Step-by-step explanation:

Uh here's what I did:

-2x-6= -10

Add 6 to both sides.

-2x=-4

Divide both sides by -2

x=2

Answer:

π/3

Step-by-step explanation:

The vector is in the first quadrant.  The angle is:

tan⁻¹(√3 / 1) = π/3

Answer:

Area = (1/2) * side 1 * side 2 * sine (73 degrees)

Area = (1/2) * 6 *  8 * .9563

Area = 22.9512  square feet

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Area = ½ a b sinC

= ½ × 6 × 8 × sin(73)

= 22.9513141431

To the nearest tenth: 23.0 ft²

Answer: 30 computers.

Step-by-step explanation: Just divide the total amount of computer by the probability, which is 287. then you get 29.83, after that just round to the nearest whole number.

Answer:

8534

Step-by-step explanation:

8564/287=29.8 rounded is 30 so 8564-30=8534 if i am wrong sorry

Answer:

V=20 in cubed

Step-by-step explanation:

The formula to find the volume of a pyramid is L×W×H÷3

Therefore V =20 in cubed

Hope that helped! If you have any further questions please message me! Good luck!

Answer:

19

Step-by-step explanation:

plug both values in

Answer:

19

Step-by-step explanation:

Since it gives you the values of x and y, all you need to do is plug in the numbers, like so:

9x - 4y

9(3) - 4(2)

27 - 8

19

ANSWER:

-17/32, -18/32, -19/32, -20/32, -21/32, -22/32

EXPLANATION:

-4/8 and -3/4

-4*4/8*4 and -3*8/4*8

-16/32 and -24/32

There are 8 numbers between -16/32 and -24/32. You can write any six of it.

Answer:

9-(2/x)

Step-by-step explanation:

Answer:

5n=1.75

Step-by-step explanation:

Answer:

The prism has 9 edges, The bases of the prism are triangles, and the prism has 5 faces.

Would really appreciate a brainliest! Hope this helped! =)

Answer: B, C, E

Step-by-step explanation: dude trust me c'mon

Answer:

2x2 + 8x – 24 = 0

Step-by-step explanation:

[tex]2 {x}^{2} + 8x - 24 = 0 \\ lhs \\ =2 {x}^{2} + 8x - 24 ..(plug \: x = - 6) \\ 2 {( - 6)}^{2} + 8( - 6) - 24 \\ = 72 - 48 - 24 \\ 72 - 72 \\ = 0 \\ = rhs \\ \\ lhs \\ =2 {x}^{2} + 8x - 24 ..(plug \: x = 2) \\ 2 {( 2)}^{2} + 8( 2) - 24 \\ = 8 + 16 - 24 \\ 24 - 24 \\ = 0 \\ = rhs \\ [/tex]

Answer:

b is the answer

Step-by-step explanation:

i checked if inputs repeated in all the string of answers

Answer:

b

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

162/360=0.45

0.45*10=4.5

Answer:

4.5units

Step-by-step explanation:

arc length's formula:2πr(∆/360)

remember, 2πr: circumference of a circle:

10units according to diagram.

∆=162°

using formula, 10(162°/360)

10*162/360 : 162/36

:4.5 units.

Answer:

3

Step-by-step explanation:

its so easy all you have to do is 12-9=3

Answer:

9

Step-by-step explanation:

he has 12 tomatoes in total

all but 9 get mushed and ruined.

that means that he has 9 left and the other 3 are ruined

hope this helped :D

Answer:

1020

Step-by-step explanation:

8+16÷4·3+5·4·25·2

PEMDAS

Multiply and divide from left to right

8+4·3+5·4·25·2

8+12+5·4·25·2

8+12+1000

Then add

1020