there are four consecutive even numbers. The second number is represented by x. find the sum of four numbers in term of x

Answer:

[tex]adjacent = \sqrt{ {50}^{2} - {14}^{2} } = 48 \\ \\ \sin(Q) = \frac{14}{50} = \frac{7}{25} \\ \cos(Q) = \frac{48}{50} = \frac{24}{25} \\ \tan(Q) = \frac{14}{48} = \frac{7}{24} [/tex]

[tex] \sin(R) = \frac{48}{50} = \frac{24}{25} \\ \cos(R) = \frac{14}{50} = \frac{7}{25} \\ \tan(R) = \frac{48}{14} = \frac{24}{7} [/tex]

Base

Now

69,120

Step-by-step explanation:

You multiply 15 times 4608

The volume of solid B cylinder is 9000π cubic units.

A cylinder is a 3-D solid figure that has two identical circular bases joined by a curved surface at a fixed distance from the center, that is the height of the cylinder.

For the given situation,

Cylinder A:

Let the radius of cylinder A be r1 = 12 inches

Let the height of cylinder A be h1

The volume of the cylinder A, V1 = 4608 π cubic inches

Cylinder B:

Let the radius of cylinder A be r2 = 15 inches

Let the height of cylinder A be h2

The volume of the cylinder A, V2

The formula of volume of cylinder is

[tex]V=\pi r^{2}h[/tex]

For cylinder A,

⇒ [tex]4608\pi =\pi (12)^{2}h1[/tex]

⇒ [tex]h1=\frac{4608}{144}[/tex]

⇒ [tex]h1=32[/tex]

Cylinder A and cylinder B are similar, so

[tex]\frac{h1}{h2} =\frac{r1}{r2}[/tex]

⇒ [tex]\frac{32}{h2} =\frac{12}{15}[/tex]

⇒ [tex]h2=\frac{(32)(15)}{12}[/tex]

⇒ [tex]h2=40[/tex]

Volume of cylinder B is

⇒ [tex]V=\pi (15)^{2}(40)[/tex]

⇒ [tex]V=9000\pi[/tex]

Hence we can conclude that the volume of solid B cylinder is 9000π cubic units.

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Answer:

If it's AL to A'L' then its 1/2

If it's A'L' to AL then its 2

Answer:

9h

Step-by-step explanation:

Given data

Sofia earns $9 per hour mowing lawns

Let the total amount earned be t

and let the time worked be h

Hence

t= 9*h

t= 9h

The expression is 9h

Answer:

meow meow

Step-by-step explanation:

Answer:

77 - 2n

Step-by-step explanation:

77 is being subtracted by a number doubled. Therefore, 77 - 2n is the expression.

Answer:

[tex]\frac{686\pi }{3}[/tex] or 718.3775

Step-by-step explanation:

Formula:

[tex]\pi r^2\frac{h}{3}[/tex]

we have

[tex]\pi *7^2*\frac{14}{3}= \frac{686\pi }{3}[/tex]

Answer:

A

Step-by-step explanation:

The study only consisted of 10 people. 10 people are not enough to come to a concrete conclusion for a project. Hope this helps!!

Answer:

A) It is not a valid sample because it is only a short study.

Answer:

2 in a half 6 player games and 6 and half 2 player games. hope this helps

Step-by-step explanation:

There were 7 two-player games and 6 six-player games played

What are system of equation?

A collection of two or more equations that share the same variables is known as a system of equations. The values of the variables that make all of the equations in a system of equations true are the solution to the system of equations. A point of intersection on the graphs of the equations of a system is known as the solution. A system of equations' solution set is the collection of all possible answers.

Solution:

Given:

Total games = 13

Athletes participated = 50

let x denote the number of 2-player games played and

   y denotes the number of 6-player games played

Hence the equations we get are:

     x ₊ y = 13 ........eq(1)

     2x ₊ 6y = 50  this can be further reduced as

      x ₊ 3y = 25 ......eq(2)

Now, solving both the equations using elimination method then we get :

   ₋2y = ₋12

      y = 6

Here we can notice that x is eliminated.

Now substitute y value in eq(1) then we get x as 7.

Hence total 13 games were played out of which 7 two-player and 6 six-palyer games were played.

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Answer:

Step-by-step explanation:

for the first one: d

Answer:

17m-7

Step-by-step explanation:

product means multiplication so we multiply 17 times m.

17m

and 7 less than 17m is subtraction

17m-7

Answer:

17m-7

Step-by-step explanation:

m = The height

7 less than the product ( Multiply) 17 and m.

so 17m-7

Answer:

Step-by-step explanation:

1/4

Answer:

period=(2π-1)/4

Step-by-step explanation:

4x+1=2π

4x=2π-1

x=(2π-1)/4

Answer:

Period is [tex]\frac{\pi}{2}[/tex]

Step-by-step explanation:

For the function [tex]y=acos(bx-c)+d[/tex], the period is [tex]\frac{2\pi}{|b|}[/tex].

Therefore, the period of the function is [tex]\frac{2\pi}{|b|}=\frac{2\pi}{|4|}=\frac{2\pi}{4}=\frac{\pi}{2}[/tex].

What this means is that the function's wave cycle will repeat every [tex]\frac{\pi}{2}[/tex] units.

Answer:

5 years (about)

Step-by-step explanation:

$23,700 X .13 = $3,081

$3,081 X 5 = $15,405

$23,700 - $15,405 = $8,295

Good luck! hope this helps.

(If you've noticed a mistake in my logic, please comment any corrections)

Answer:

11.5 degrees

Step-by-step explanation:

For future reference trianglecalculator.net is very helpful

The angle of elevation to the nearest tenth of a degree is 11.54°.

An angle of elevation is defined as the angle between the slant horizontal line of an eye and the object in relation to the baseline called the adjacent.

In trigonometry, the angle of elevation can be determined by using the sine rule.

[tex]\mathbf{sin \ \theta = \dfrac{opp}{hyp} }[/tex]

[tex]\mathbf{sin \ \theta = \dfrac{5}{25} }[/tex]

[tex]\mathbf{ \theta =sin^{-1} (0.2)}[/tex]

[tex]\mathbf{ \theta =11.54^0}[/tex]

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Answer:

[tex](4,3)[/tex]

Step-by-step explanation:

If the solution would've been written has y ≤ 2x - 5, [tex](4,3)[/tex] would've been a solution

Answer:

Length: 20 or 40 feet

Width: 40 or 20 feet

Step-by-step explanation:

Area = 800 = length*width = x*(60-x)= 60x - x^2

- x^2 + 60x - 800 = 0

x = 20

Or x = 40

So length can be either 20 feet or 40 feet and width can be 40 (60-20) or 20 (60-40)

Answer:

x = 134

Step-by-step explanation:

Exterior angle = sum of opposite interior angles

                      = 90 + 44 = 134

OR

Sum of angles of triangle = 180

that is,

90 + 44 +y = 180

y = 180 - 134

 y = 46

x + y = 180                [ straight line angles ]

x + 46 = 180

x = 180 - 46 = 134

Answer:

x = 134

Step-by-step explanation:

triangle sum theorem states that the sum of all angles within a triangle is equal to 180 degrees. using this we can figure out that the missing angle in the triangle is 46.

a straight line is also equal to 180 degrees, so to find the adjacent angle, we subtract 46 from 180, and we get 134

Answer:

i think its A or C so im gonna say C if not im soooooooooooooooooo sorry <3

Step-by-step explanation:

Answer:

(x+5)²+(y+7)²=4

Step-by-step explanation:

just count it

Answer:

x= -34/3

Step-by-step explanation:

just solve by multiplying both sides by 15, then distribute 10 and 3 through the parenthesis, multiply both sides by 2, move the variable to the left side and change the sign, move the constant and change the sign, combine like terms, calculate the sum, and finally divide both sides by -3

Answer:

Answer:

Step-by-step explanation:

You graph it

Answer:

Step-by-step explanation:

two semicircles each of diameter 8 inches makes one circle with diameter=8 in.

radius r=8/2=4 in.

area of shaded region= πr^2=π×4²=16 π in²

≈16×3.14

≈50.24

≈50.2 in²

Answer:

0.25 is the probability

Step-by-step explanation:

If there are 13 diamonds in a deck of 52 cards, dividing 13 by 52 will get you 0.25. This is the probability of getting a diamond from the deck of 52 cards.

Answer:

7 feet after applying the pythagorean theorem

Step-by-step explanation:

Answer:

4 + 6x = 70

6x = 66

x = 11

Answer:

decreased by 50%

Step-by-step explanation:

[tex]\frac{x}{y}[/tex]

100% - 60% = 40% = 0.4

100% - 20% = 80% = 0.8

[tex]\frac{0.4x}{0.8y}[/tex] = [tex]\frac{x}{2y}[/tex] = 0.5 × [tex]\frac{x}{y}[/tex] ⇒ the original fraction is decreased by 50%