The diagonals of a rhombus are 14 and 48 cm Find the length of a side of the rhombus

Answers:

x = -5

y = 9

============================================

Work Shown:

Start by solving the second equation for x.

3x = -15

3x/3 = -15/3 .... divide both sides by 3

x = -5

Then plug this into the first equation and isolate y.

6x + 4y = 6

6(-5) + 4y = 6 .... every x replaced with -5

-30 + 4y = 6

-30+4y+30 = 6+30 .... add 30 to both sides

4y = 36

4y/4 = 36/4 .... divide both sides by 4

y = 9

Step-by-step explanation:

Given by question,

(x, y) = (5, 15)

Here, x = 5 and y = 15

To find, the value of [tex]\tan \theta[/tex] = ?

We know that,

[tex]\tan \theta[/tex] = Sope = [tex]\dfrac{y}{x}[/tex]

∴ [tex]\tan \theta[/tex]  = [tex]\dfrac{15}{5}[/tex]

⇒ [tex]\tan \theta[/tex]  = [tex]\dfrac{3}{1}[/tex]

⇒ [tex]\tan \theta[/tex]  = 3

∴ The value of [tex]\tan \theta[/tex] = 3

Thus, the value of [tex]\tan \theta[/tex] is equal to 3.

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Answer:

2

Step-by-step explanation:

If you do 249/89 you will get 2.79775280899

so 89 goes into 249 2 times equally

Answer:  2

Step-by-step explanation:

If you do 249/89 you will get 2.79775280899

so 89 goes into 249 2 times equally

Answer:

you add -8 to 13

Step-by-step explanation:

-8+13=5

p=5

Answer: 5 = p

Step-by-step explanation: To solve the equation -8 = p - 13, notice that the variable is on the right side of the equation,

don't let this throw you off.

To solve for p, we need to get p by itself on the right side of the equation by adding 13 but if we add 13 to the right side of the equation, we also must add 13 to the left side of the equation.

On the right side of the equation, the -13 and + 13 cancel eachother out and we have p. On the left side of the equation, -8 + 13 is 5 so we have 5 = p which is the solution to our equation.

Answer:area = x^2 +15x +36

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:- 3

Step-by-step explanation:

Tap for more steps...

x

2

(

2

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−

9

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Factor the polynomial by factoring out the greatest common factor,  

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Rewrite  

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Factor.

Tap for more steps...

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2

x

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(

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+

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Answer:

(2x−3)(x+3)(x−3)

Step-by-step explanation:

m*thway factoring polynomial calculator used

Answer:

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

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 )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 6, - 5) and (x₂, y₂ ) = (- 4, - 4)

m = [tex]\frac{-4+5}{-4+6}[/tex] = [tex]\frac{1}{2}[/tex], thus

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 6, - 5), then

- 5 = - 3 + c ⇒ c = - 5 + 3 = - 2

y = [tex]\frac{1}{2}[/tex] x - 2 ← equation of line

To find the equation of the line through (-6, -5) and (-4, -4), calculate the slope and then apply the point-slope form to yield the line equation y = 1/2x - 2.

The question is about finding the equation of the line that passes through two given points, (-6, -5) and (-4, -4). To do this, we first need to find the slope of the line (m) using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the points, we get m = (-4 + 5) / (-4 + 6) = 1 / 2. Next, we use the point-slope form of a linear equation, y - y1 = m(x - x1), to find the equation. Using point (-6, -5) and the slope 1/2, the equation becomes y + 5 = 1/2(x + 6). Finally, simplifying, we get y = 1/2x - 2 as the completed equation of the line.

Final answer:

To calculate the travel time from Lubbock to San Antonio at 60 miles per hour, divide the distance (394 miles) by the speed, resulting in about 7 hours when rounded to the nearest hour.

Explanation:

The question is about calculating the travel time from Lubbock to San Antonio when driving at a speed of 60 miles per hour. Based on the provided chart, the distance between Lubbock and San Antonio is 394 miles. To find the travel time, we use the formula time = distance ÷ speed. Therefore, the travel time is calculated as 394 miles ÷ 60 miles/hour = 6.5667 hours. Rounding this to the nearest hour gives us approximately 7 hours. So, it will take about 7 hours to drive from Lubbock to San Antonio at a speed of 60 miles per hour.

Answer:

$6.75 for 9 socks

Step-by-step explanation:

if 6 pairs of socks is $4.50 you would divided 4.50 by 6 to find the price of one pair of socks. once you do this you find out that one pair of socks is 0.75. to find the price of 9 you multiply 0.75 by 9 and get the answer $6.75

The answer is 4.5/6 = x/9

Answer:

89

Step-by-step explanation:He bought 89 items because 20 + 3 is 23, 23 + 12 is 35, 35 + 11 is 46, 46 + 24 is 70, and 70 + 11 is 89.

Answer:

-19/20

Step-by-step explanation:

[tex]2 \frac{3}{8} \div - 2 \frac{1}{2} [/tex]

[tex] \frac{19}{8} \div - \frac{5}{2} [/tex]

Keep Change Flip

[tex] \frac{19}{8} \times - \frac{2}{5} [/tex]

[tex] - \frac{38}{40} = - \frac{19}{20} [/tex]

The equation according to the given verbal sentence is [tex]\frac{2 t+2}{2 s^{3}}[/tex] (after solving this [tex]\frac{t+1}{s^{3}}[/tex] ).

Step-by-step explanation:

Rewrite the given verbal sentence and so it will be easier to translate.

Given: The quotient of the sum of 2 t and 2 and twice the cube of s

sum of 2 t and 2 can be written as

       2 t + 2

twice the cube of s

      [tex]2 s^{3}[/tex]

Now, combine the above according to the given verbal. The quotient of the sum of 2 t and 2 and twice the cube of s  means,

             2 t + 2  divided by [tex]2 s^{3}[/tex]

Now, the equation would be [tex]\frac{2 t+2}{2 s^{3}}[/tex]

When solving this equation, we get

         [tex]\frac{2(t+1)}{2 s^{3}}=\frac{t+1}{s^{3}}[/tex]

The quotient of the sum of 2t and 2 and twice the cube of s is [tex]\frac{t + 1}{s^3} [/tex].

The given parameters:

The sum of 2t and 2 is written as follows;

sum = 2t + 2

The cube of s is written as follows;

cube = s³

twice the cube of s = 2s³

The quotient of the sum of 2t and 2 and twice the cube of s is calculated as follows;

[tex]= \frac{2t + 2}{2s^3} \\\\ = \frac{2(t + 1)}{2s^3}\\\\ = \frac{t + 1}{s^3} [/tex]

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Answer:

[tex]Guests\ attending\ the\ party\ first\ time=12[/tex]

Step-by-step explanation:

[tex]Total\ guests=48\\\\Guests\ attended\ the\ party\ last\ year=\frac{6}{8}\ of\ total\ guests\\\\Guests\ attended\ the\ party\ last\ year=\frac{6}{8}\ of\ 48\\\\Guests\ attended\ the\ party\ last\ year=\frac{6}{8}\times 48\\\\Guests\ attended\ the\ party\ last\ year=6\times 6\\\\Guests\ attended\ the\ party\ last\ year=36\\\\Guests\ attending\ the\ party\ first\ time=Total\ guests-Guests\ attended\ the\ party\ last\ year\\\\Guests\ attending\ the\ party\ first\ time=48-36\\\\[/tex]

[tex]Guests\ attending\ the\ party\ first\ time=12[/tex]

The random variables in this situation will be:

It should be noted that a random variable simply means the numerical description of the outcome of a statistical experiment.

In this case, the distance that the basketball lands from the hoop and the distance the basketball lands from the person are the random variables.

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Answer:

The distance the basketball lands from the hoop.

The distance the basketball lands from the person.

(-2x + 5) + (5x + 3) = 5

3x + 8 = 5

3x = -3

x = -1

(Combine Like Terms)

(−2x+5x)+(5+3)=5 ----> 3x+8=5

Subtract 8 from both sides.

3x + 8 − 8 = 5 − 8 -------> 3x = − 3

Divide both sides by 3.

[tex]\frac{3x}{3} = \frac{-3}{3}[/tex]

x = −1

17)

Find how many more pencils are needed:

250 - 108 = 142

Divide by the number of pencils in a box:

142 / 16 = 8.875 = 9 more boxes.

18) 5/4x - 3(8x-1/4)

Use the distributive property:

5/4x - 24x - 3/4

Rewrite 24x as 96/4x

Now you have:

5/4x - 96/4x-3/4

Combine like terms:

-91/4x - 3/4

19)

Car: 3 feet in 4 seconds

60 seconds / 4 = 15

3 feet x 15 = 45 feet per minute

Truck: 2 feet in 6 seconds

60 seconds / 6 = 10

2 feet x 10 = 20 feet per minute

45 - 20 = 25 feet

The car travels 25 feet per minute faster.

The total amount of money Camden owes is $1550

Hello! remember you have to write complete questions in order to get good and exact answers. Here the question is incomplete so I'll assume you need to know the total amount of money Camden owes. From the statement, we know two facts:

Let:

x: Debt on his credit card

y: Debt on his rent

z: Total debt

Then:

[tex]z=x+y \\ \\ x=800 \\ \\ y=750 \\ \\ \\ z=800+750 \\ \\ z=1550[/tex]

So the total amount of money Camden owes is $1550.

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Answer:

Question 1  10 / 10 points

A summary of selected ledger accounts appear below for S. Ball for the current calendar year.

Answer questions 1 through 4 based on this information.

1. What was the total amount of withdrawals for the year?  

$6000

Question 2

2.What was the net income?

$4250

Question 3

3.What was the total revenue?

$17,000

4.What were the total expenses?

$12.750

5.

__2__  

Unearned Revenue

__5__  

Brandon Jones, Capital

__1__  

Cash

__3__  

Equipment

__4__  

Mortgage

1.  

Current Assets

2.  

Current Liabilities

3.  

Fixed Assets

4.  

Long-term Liability

5.  

Equity

Question 6  

At the end of the closing process, Income Summary will hold a balance.

Question options:

b) False

Step-by-step explanation:

I just took this quiz and got a 100%

The total amount of withdrawals for the year is $7,250.

The total amount of withdrawals for the year can be found by adding up the amounts in the S. Ball Withdrawals ledger account. Looking at the provided information, we can see that the withdrawals were as follows: $2,000 on 10/31, $4,250 on 12/31, and $1,000 on 12/22. Adding these amounts together, the total amount of withdrawals for the year is $7,250.

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Answer: image of pi

Step-by-step explanation:

It is known as 3.14

Answer:

47.0

Step-by-step explanation:

we have

[tex]tan(12^o)=\frac{10}{x}[/tex]

Solve for x

That means ----> Isolate the variable x

Multiply by x both sides

[tex]x(tan(12^o))=10[/tex]

Divide by tan(12°) both sides

[tex]x=\frac{10}{tan(12^o)}[/tex]

using a calculator

[tex]x=47.0[/tex]

To find the number of items, x, for which the total daily cost, C, of each machine will be the same, we can set up an equation and solve for x. The number of items x for which the total daily cost C of each machine will be the same is 20. For 20 items produced, the total daily cost per machine is $60.

To find the number of items, x, for which the total daily cost, C, of each machine will be the same, we can set up the following equation:

40 + 1x = 30 + 1.5x

Simplifying, we get:

0.5x = 10

Dividing both sides by 0.5, we find:

x = 20

Therefore, the number of items x for which the total daily cost C of each machine will be the same is 20.

To find the total daily cost per machine for this number of items, we can substitute x = 20 into the equations for each machine:

Machine A: C = 40 + 1(20) = 60

Machine B: C = 30 + 1.5(20) = 60

So, for 20 items produced, the total daily cost per machine is $60.

Answer: vertex

Step-by-step explanation:

Answer:

Vertex. The vertex is the point where two points meet, and the point 12 is where the lines meet.

Answer:

35

Step-by-step explanation:

6x-4x= 2x

+63+7=70

70/2=35

Answer:

x = 35

Step-by-step explanation:

70 = 2x

x = 35

Final answer:

Wen Ti travels 9.2π feet in one complete spin on the outer edge of the carousel, which has a radius of 4.6ft. The correct option is A.

Explanation:

The question asks how far Wen Ti travels in one spin of the carousel, if she is on the outer edge with a radius of 4.6ft. To find this distance, we use the formula for the circumference of a circle, which is C = 2πr, where r is the radius of the circle. Plugging in the given radius of 4.6ft, we find that Wen Ti travels 2π(4.6) = 9.2π feet in one spin of the carousel.

Divide the perimeter by 4 to get the length of a side:

112/4= 28

Now solve for x:

X + 4 = 28

Subtract 4 from both sides:

X = 24

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Step-by-step explanation:

Answer:

Option A, 12/5

Step-by-step explanation:

If sin (theta) < 0 that means that the angle is in either quadrant 3 or 4.

Since cos or x is negative, that makes the angle limited to either 2 or 3.

The only quadrant that matches with those to is quadrant 3.

So, to find out what tan (theta) is, you need to make a graph and draw the line in quadrant 3.

Look at the attached graph

tan (theta) = opposite / adjacent

tan (theta) = -12/-5 = 12/5

Answer = Option A, 12/5

The first equation can be multiplied by 5 and the second equation by 3.

3x - 3y = 3 | × 5

4x + 5y = 13 | × 3

15x - 15y = 15

12x + 15y = 39  +

________________

15x + 12x - 15y + 15y = 15 + 39

27x = 54

x = 54 : 27

x = 2

4·2 + 5y = 13

5y = 13 - 8

5y = 5

y = 5 ; 5

y = 1

Answer:

a

Step-by-step explanation:

Answer:

$68.60

Step-by-step explanation:

If the original price is $98

30% = 0.03

0.30*98=29.40

Then, 98−29.40=$68.60

Answer:

the answer missing length is 7.6 and yes i rounded it to the nearest tenth.

Step-by-step explanation: