Area of triangles and trapezoids

Answer:

y = -x + 1

Step-by-step explanation:

you know that it must be y = mx + b form so you know that b is the y-intercept and the only time it touches is on positive one so you know it needs a positive one. then to find the slope you need to use the two points that are given. Rise/Run(rise over run) it only goes up one and over -1 so divide and you get -1 for the slope.

hope this helps!

Answer:

The area of the pentagon is 52.5 in²

Step-by-step explanation:

The area of a regular pentagon is given by:

area = (5*l*a)/2

Where l is the length of each side and a is the length of the apothem. Applying the data from the problem we have:

area = (5*5*4.2)/2

area = (105)/2

area = 52.5 in²

The area of the pentagon is 52.5 in²

Answer:

a) 4561.59 ft^3

b) 17.93 ft

Step-by-step explanation:

Given:-

- Container A and B are of cylindrical shape

- The diameter of container A, da = 22 ft

- The height of container A, ha = 12 ft

- The diameter of container B, db = 18 ft

- The height of container B, hb = 19 ft

- Container A is initially full while container B is empty.

- Water is pumped from container A to container B until container A is empty.

Find:-

a) The volume of water in container B

b) The level of water in container B

Solution:-

- The cylinder is initially full to the top. The volume of the water in container A takes the shape of container A. The volume of a cylindrical container is mathematically expressed as function of diameter and height, as follows:

                        [tex]V = \pi \frac{d^2}{4}*h[/tex]

- The volume of water in container A of diameter ( da ) and height ( ha ):

                       [tex]V_a = \pi \frac{d_a^2}{4}*h_a\\\\V_a= \pi \frac{22^2}{4}*12\\\\V_a = 4561.59253 ft^3[/tex]

- We are given that the water is pumped from the container A to B until all the water ( Volume ) is emptied from container A:

- The total amount of water available in container A, is V_a is all pumped into container B. Therefore, after the process of pumping container B will have the volume of water equivalent to the volume of water in container A before the pumping process started ( assuming no loss of water ):

                       [tex]V_b = V_a = 4561.59253 ft^3[/tex] .. Answer ( a )

- The volume of water contained in container also takes the shape of cylinder and can be expressed as:

                     [tex]V_b = \pi \frac{d_b^2}{4}*h\\\\h= \frac{4*V_b}{\pi*d_b^2 }\\\\h = \frac{4*4561.59253}{\pi*18^2 } \\\\ h = 17.926 ft[/tex]

Answer: The level of water in container B is h = 17.93 ft

Answer:

120x3 = 360

Step-by-step explanation:

Answer:

360 I GOT IT RIGHT!!!

Step-by-step explanation:

Answer:

Crowded means full of people

Rowdy means noisy and disorderly.

Crowded and Rowdy are adjectives.

Answer:

23/16

Step-by-step explanation:

i looked it up on a website and got this question right on my test

The given expression is a linear function and has a unique solution.

Given,

For what value of b, would the equation 3/4(12x−9)+b/4=5−3(2−3x) have infinitely many solutions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.

Here,
3/4(12x−9)+b/4=5−3(2−3x)
12x - 27 / 4 + b / 4 = 5 - 6 + 9x
12x - 9x = -1 + 27/4 - b / 4
3x = 23 - b / 4

Here the expression is a linear function of x, so the expression has a unique solution not infinitely many solutions.

Thus, the given expression is a linear function and has a unique solution.

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Answer: 0

Step-by-step explanation:

Evaluate for x =64

64 − 64

Answer:

x=29

Step-by-step explanation:

The first triangle:the unknown angle is 58°

180°-58=122

122+2x=180

2x=180-122

2x=58

x=58/2=29°

Answer:

Step-by-step explanation:

To solve this problem, we need to find the Greatest Common Factor (GCF) which is the greater factor possible in common for all three numbers 5000, 2500 and 245 liters.

5,000 | 2

2,500 | 2

1,250  | 2

625    | 5

125     | 5

25      | 5

5        | 5

1

So, [tex]5,000 = 2 \times 2 \times 2 \times 5 \times 5 \times 5 \times 5[/tex], [tex]2,500 = 2 \times 2 \times 5 \times 5 \times 5 \times 5[/tex]

245 | 5

49   | 7

7     | 7

1

[tex]245 = 5 \times 7 \times 7[/tex]

As you can observe, the greatest common factor is 5, because it's the greater number in common for all three numbers.

Therefore, the greatest recipient possible must be 5 liters capacity.

Answer:

0.233298 kg is the mass of 234 ml of water

Step-by-step explanation:

Mathematically,

mass = density * volume

henry, to get the mass of that volume, we shall need to multiply it by the density of water.

The density of water is 997 kg/m3

To achieve consistency in units, we shall convert 234 ml to m3

Mathematically 1ml = 1 * 10^-6 m^3

Thus, 234 ml = 234 * 10^-6 m^3

Therefore the mass of water will be = 234 * 10^-6 * 997 = 0.233298 kg

Answer:

x = 5

Step-by-step explanation:

x^2 +2 = 27

x^2 = 27 - 2

x^2 = 25

x = [tex]\sqrt{25\\\\}[/tex]

x = 5

Answer: x equals 5

Step-by-step explanation:

27 minus 2 is 25, the square root of 25 is five.

Answer:

Step-by-step explanation:

I don't say you have to mark my ans as brainliest but if it has really helped you plz don't forget to thank me...

Answer:

8 weeks

Step-by-step explanation:

We are to find the number of weeks that they will have the same account balance.

Let the number of weeks be x.

Megan started by putting $80 in her account, and she will deposit an additional $15 each week. This means after x weeks, she will have:

80 + 15x

Noah made no initial deposit, but he will add $25 more each week. After x weeks, he will have:

25x

To find the number of weeks for their amounts to be the same, we equate their amounts to one another:

80 + 15x = 25x

Collexting like terms and solving for x:

80 = 25x - 15x

80 = 10x

=> x = 80 / 10 = 8 weeks

After 8 weeks, the money in their accounts will be the same.

Answer:

1. A slope is a surface of which one end or side is at a higher level than another; a rising or falling surface.

"he slithered helplessly down the slope"

Some real life examples of slope include: in building roads one must figure out how steep the road will be. skiers/snowboarders need to consider the slopes of hills in order to judge the dangers, speeds, etc. when constructing wheelchair ramps, slope is a major consideration.

Answer:

quadratic

Step-by-step explanation:

The Quadratic function is the best models for the given graph.

A quadratic function is a "polynomial function with one or more variable in which highest exponent of variable is two".

According to the question,

Horizontal axis or x-axis quadratic function of numbered 2-8 and vertical axis or y-axis quadratic function numbered to 10-50.

In order to find the best models function is quadratic function.

f(x) = ax²+bx+c   a < 0

Domain = All real numbers

Range y ≤ f(-[tex]\frac{b}{2a}[/tex])

Increases on left of x = -[tex]\frac{b}{2a}[/tex]

Decreases on right of x = -[tex]\frac{b}{2a}[/tex]

The vertex of the parabola lies on the axis of the parabola so the graph of the quadratic function increases on one side axis and decreases on the other side.

Learn more about quadratic function here

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Answer:

Step by step explanation

[tex] {1}^{2} = 1 \times 1 = 1 \\ {2}^{2} = 2 \times 2 = 4 \\ {3}^{2} = 3 \times 3 = 9 \\

{4}^{2} = 4 \times 4 = 16 \\ {5}^{2} = 5 \times 5 = 25 \\ {6}^{2} = 6 \times 6 = 36 \\ {7}^{2} = 7 \times 7 = 49 \\ {8}^{2} = 8 \times 8 = 64 \\ {9}^{2} = 9 \times 9 = 81 \\ {10}^{2} = 10 \times 10 = 100 \\ {11}^{2} = 11 \times 11 = 121 \\ {12}^{2} = 12 \times 12 = 144 \\ {13}^{2} = 13 \times 13 = 169 \\ {14}^{2} = 14 \times 14 = 196 \\ {15}^{2} = 15 \times 15 = 225[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer: (9,-5)

Step-by-step explanation:

(5+4,-3-2)=  (9,-5)

Answer:

What are the answer choices for this question. It would help me know what they are asking you to do.

Answer:

48 years

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

5*-1 2/5=-7

5*-1=-5

-2/5*5=-2

5+2=-7

Answer:

Step-by-step explanation:

Let x be the random variable representing the height of players on the football team. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/(σ/√n)

Where

x = sample mean

µ = population mean

σ = standard deviation

n = number of samples

From the information given,

µ = 74 inches

σ = 1 inch

n = 50

x = 74 inches

the probability that a player is less than 74 inches tall is expressed as

P(x < 74)

For x = 74,

z = (74 - 74)/(1/√50) = 0

Looking at the normal distribution table, the probability corresponding to the z score is 0.5

Therefore,

P(x < 74)

The players less than 74 inches is

0.5 × 50 = 25 players

Answer:

0.5

Step-by-step explanation:

45/84=0.5357142857142857

1-0.5357142857142857=0.4642857142857143

Answer:

= 46%

Step-by-step explanation:

● Original = 84 gallons

● New = 45 gallons

● Decrease = 84 - 45 = 39 gallons

If 84 gallons = 100%

What about 39 gallons = ?

= (39 x 100) ÷ 84

= 3900 ÷ 84

= 46.42

= 46%

Answer:  The height is 5.2 cm.

Step-by-step explanation:

146.952 = n r^2 h

146.952= 3.14 * 9 *h

146.952= 28.26 h  divide both sides by 28.26

h = 5.2

Answer:

x^2 - (11/2)x + 121/16 = -7

Step-by-step explanation:

We have been given graph of a sinusoidal function. We are asked to write function formula for our given graph.

We know that [tex]\sin(0)=0[/tex] and [tex]\cos(0)=1[/tex]. We can see that our given function is starting at origin, so our graph is sine function.

We know that general form of sine is [tex]y=A\sin[B(x-c)]+D[/tex], where,

A = Amplitude,

Period: [tex]\frac{2\pi}{B}[/tex]

C = Horizontal shift,

D = Vertical shift.

We have been given that function has no horizontal shift, so the value of C is 0.

We can also see that midline of our function is x-axis, so there is no vertical shift as well that is [tex]D=0[/tex].

We can see that function goes up to 1 from midline and goes down to [tex]-1[/tex] from midline, so amplitude of function is 1 that is [tex]A=1[/tex].

We can see that period of our given function is [tex]4\pi[/tex] because it completes one cycle from [tex]-\pi[/tex] to [tex]3\pi[/tex]

[tex]4\pi=\frac{2\pi}{B}[/tex]

[tex]B=\frac{2\pi}{4\pi}=\frac{1}{2}[/tex]

[tex]y=\sin(\frac{1}{2}x)[/tex]

We can see that our function is reflected about x-axis, so our function will be [tex]y=-f(x)[/tex].

[tex]y=-\sin(\frac{1}{2}x)[/tex]

Therefore, our required function is [tex]y=-\sin(\frac{1}{2}x)[/tex].

Answer:

9/10

Hope this helps :)

Answer:

(-5 , 0) and (6 , 0)

Step-by-step explanation:

In order to get the coordinates of the x-intercept(s) of the graph of y=(x-6)(x+5)

we need to solve for x the equation (x-6)(x+5) = 0

(x-6)(x+5) = 0

⇌

x - 6 = 0  or  x + 5 = 0

⇌

x = 6  or  x = -5

therefore

the coordinates are :

(-5 , 0) and (6 , 0)

__________________________

:)

Answer:

Felipe dio un paso incorrecto de acuerdo con el sistema de valor posicional al sumar la suma de 1,000 a 39,200. La manera correcta en que Felipe debe abordar esto se muestra en la explicación a continuación.

Step-by-step explanation:

En el sistema de valor posicional; cada número representa una entidad particular; ya sea unidad, decenas, cientos, mil, diez mil etc. En la pregunta dada, el número 39200 indica que 9 está en el valor posicional de mil, es decir, 9000.

Entonces, si Felipe desea cambiar de 8 a 9, entonces necesita restar 9000-8000 = 1000

Sin embargo; si quiere cambiar 9 a cero; entonces restará 9000 de 9000; pero ya que 9 no funciona; Primero debe restar 8000 y luego restar 1000.

Answer:

see below

Step-by-step explanation:

The absolute value means take the non negative value

l-9l  = 9

l64l =64

l-22l=22

Answer:

1. 9   2. 64   3. 22

Step-by-step explanation:

The obsolute value is how far away the number is from zero

For example:

I-94I is 94

but

-I94I is -94

if the negative is outside the equation then its a negative

Answer: 40

Step-by-step explanation:

I can see the answer is 40, but let's try to figure out how to do it.

I like to use the rule of 3. Let's put the number of passes on the left side and the number of games on the right side.

[tex]\frac{8}{x}=\frac{3}{15}[/tex]

''x'' represents the number of passes in 15 games.

Solve for x;

[tex]x=\frac{15*8}{3}\\ x=\frac{120}{3}\\ x=40[/tex]

Answer:

Despite the full question not being in place the anwser your looking for is 10 inches.

Answer:

10 inches

Step-by-step explanation: