A rectangle has a length of 14 yards less than 9 times its width. If the area of the rectangle is 6183 square yards, find the length of the rectangle.

Answers

Answer 1

Answer:

 [tex]l=238\ yards[/tex]

Step-by-step explanation:

From the question we are told that:

Area of Rectangle A=6183

Equation of Length

 [tex]l=9w-14[/tex]

Where

[tex]w=width\ of\ triangle[/tex]

Generally the equation for Area of Rectangle is mathematically given by

 [tex]A=(9w-14)w[/tex]

 [tex]A=9w^2-14w[/tex]

 [tex]6183=9w^2-14w[/tex]

 [tex]9w^2-14w-6183=0[/tex]

 [tex]w=28[/tex]

Therefore

 [tex]l=9(28)-14[/tex]

 [tex]l=238\ yards[/tex]


Related Questions

find the area of the figure with coordinates A (-6,1), B (2,1), C(-3,4), D(5,4)

Answers

Answer: The area of the figure is 24 units.

Step-by-step explanation:

After plotting, the given points on the graph, we can observe that it is a parallelogram(opposite sides are equal and parallel)

Height = 4-1 = 3 units

Base = 2-(-6) = 8 units

Area of parallelogram = Base x height

= 8 x 3 square units.

= 24  square units.

Hence, the area of the figure is 24 units.

The radius of a circle is 19.2 in. Find the circumference to the nearest tenth.

Answers

Answer:

1

Step-by-step explanation:

Please help me out with this problem :)

Find the maximum value of P= x + 6y subject to the following constraints

Answers

Answer:

I cant tell what the answer is cause X and Y dont have a value

Step-by-step explanation:

Answer:

p=9

Step-by-step explanation:

can someone help me with this question? will give thanks!

Answers

Answer:

B. 63

Step-by-step explanation:

There are two similar triangles given in the diagram above. Since they area similar, they also have corresponding side lengths that are proportional.

Therefore:

(6 + 3)/3 = x/21

9/3 = x/21

3 = x/21

Cross multiply

21*3 = x

63 = x

x = 63

Write each expression using exponents.
3/8 * 3/8 * 3/8=

Answers

Answer:

3/8^3

Step-by-step explanation:

the exponent is 3

Answer:

(3/8)^3

3^3 * 2^-9

Step-by-step explanation:

3/8 * 3/8 * 3/8 = (3/8)^3

= 3^3 * (1/8)^3 = 3^3 * (2^-3)^3 = 3^3 * 2^-9

i will give brainliest!! please help me, i appreciate it !!

Answers

Answer:

-4050

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

6x²y³ - 2x + 10

x = 5

y = -3

Step 2: Evaluate

Substitute in variables:                                                                                     6(5)²(-3)³ - 2(5) + 10Exponents:                                                                                                        6(25)(-27) - 2(5) + 10Multiply:                                                                                                             -4050 - 10 + 10Add:                                                                                                                   -4050


[tex]2x - 4 = 30[/tex]

Answers

Answer:

x=17

Step-by-step explanation:

2x-4=302x=30+42x=34x=34/2x=17

stay safe healthy and happy.

Answer:

x = 12

Step-by-step explanation:

2x - 4 = 30

2x = 30 + 4

2x = 34

x = 34/2

◆ x = 17

This is a Right answer

This question is worth 20 points and I will mark brainliest
which expressions are equivalent to 2 (3h + 7) choose "equivalent" or "Not equivalent" for each expression.


6h+7

2+3h+7

6h+7+7

3h+3h+14

(3h+7) + (3h+7)

Answers

Answer:

2(3h+7)

=6h+14

6h+7+7 (True)

3h+3h+14 (True)

Four coins are tossed in succession. What is the probability of getting all heads?

1/4
1/2
1/16

Answers

Answer:

1/16

Step-by-step explanation:

There is a 1/2 chance to flip a heads.

So, in this case, we would multiply 1/2 four times in reference to the coins being flipped a total of 4 times to find its probability.

1/2 x 1/2 x 1/2 x 1/2 = 1/16

Thus, there is a 1/16 chance that you'd get heads four times in a row.

Answer:
1/16
Step by Step Explanation:
The reason being is that all the chances will be 1/2 so you need to multiply 1/2x1/2x1/2x1/2

I need help

An amount of $16,000 is borrowed for 8 years at 7.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?

Answers

Answer:

$28009.05

Step-by-step explanation:

Let us use the formula A = P(1 + r/n)^(nt)

Step 1: Convert 7.25 to decimal

[tex]7.25\% = 0.0725[/tex] in decimal form

Step 1: Percent means 'per 100'. So, 7.25% means 7.25 per 100 or simply 7.25 over 100. [tex]7.25 \div 100\\\\= \frac{7.25}{100}\\\\= 0.0725[/tex] If you divide 7.25 by 100, you'll get 0.0725 (a decimal number).

Step 2: Solve with the formula

[tex]A = 16000(1 + 0.0725)^8\\\\A= 28009.05[/tex]

Step 1: Add the numbers: [tex]1+0.0725=1.0725[/tex][tex]=16000\cdot \:1.0725^8[/tex][tex]=16000\cdot \:1.75056[/tex]Step2: Multiply[tex]=28009.05068[/tex]

Through: (-3,1), slope = 2

Answers

Answer:

y = 2x + 7

Stepy by-step explanation:

y = 2x + b

1 = 2(-3) + b

1 = -6 + b

7 = b

Find the measure of angle C

Answers

Answer:

ajnasnnanananandbabbabbansbansbz svabsvsb

Find the sum of the first 40 terms of the arithmetic sequence: 16,24,32,40

Answers

Answer:

320 is the answer

Step-by-step explanation:

8x40=320

Find a.

Write your answer in simplest radical form.

Answers

Answer:

[tex]a=10[/tex]

Step-by-step explanation:

This problem can be solved in a ridiculous number of ways. However, it is likely introduced as a special-triangle problem in this question, because 4 pieces of information are given opposed to the necessary 3 to solve the triangle.

Special Right Triangles:

In any 30-60-90 triangle, all sides are in the proportion [tex]x:x\sqrt{3}:2x[/tex], where [tex]2x[/tex] is the hypotenuse and [tex]x[/tex] is the side opposite to the 30 degree angle. Since we notice that the side we're solving for is directly opposite to the 30 degree angle, we know that the side marked [tex]10\sqrt{3}[/tex] must be [tex]x\sqrt{3}[/tex] and therefore we have [tex]a=\boxed{10}[/tex]

−12 = 2 + 5v + 2v
help me plzzzzzzzzzzzz

Answers

Answer:

v = - 2

Step-by-step explanation:

Given

- 12 = 2 + 5v + 2v ( subtract 2 from both sides )

- 14 = 7v ( divide both sides by 7 )

- 2 = v

Determine the value of x in the diagram.

Answers

The answer to the question is 114

A ball is kicked from a height of 3 feet above ground the height of the ball is h(t) is given by h(t) = 5t raised to the 2 power +14t+3 where t is the time in seconds after the ball is kicked. How long will it take the ball to hit the ground after kicked?

Answers

Answer:

t = -2.566s and -1.169s

Step-by-step explanation:

Given the height of the ball expressed at

h(t) = 5t²+14t+3

The ball will hit the ground at h(t) = 0

Substitute and get t

0 = 5t²+14t+3

Use general formula

t = -14+/- √14²-4(5)(3)/2(5)

t = -14+/- √196-60)/10

t = -14+/- √136/10

t =-14+/- 11.66/10

t = -25.66/10 and -2.338/2

t = -2.566s and -1.169s

Hence the ball will hit the ground at these times

Write the standard equation of each circle below

Answers

Okay so if you answer me in the comments I can help you but I need more explanation than that :)

help please help me please​

Answers

Answer:

B

Step-by-step explanation:

Only 1 because

1/1 = 1

2/1 = 2

The answer can't be 0 because we can't divide by zero.

The answer can't be 2 because you can't divide 1 by 2 without having a number with decimal places

Same thing for the 4

The greatest common factor of 1 and 2 is 1.
The answer is B

If f(y) = e^(9y) + e^(-9y), find f'(y). Use exact values.

Answers

Given:

[tex]f(y)=e^{9y}+e^{-9y}[/tex]

To find:

The f'(y).

Solution:

Chain rule of differentiation:

[tex][f(g(x))]'=f'(g(x))g'(x)[/tex]

Differentiation of exponential:

[tex]\dfrac{d}{dx}e^x=e^x[/tex]

We have,

[tex]f(y)=e^{9y}+e^{-9y}[/tex]

Differentiate with respect to y.

[tex]f'(y)=e^{9y}\dfrac{d}{dx}(9y)+e^{-9y}\dfrac{d}{dx}(-9y)[/tex]

[tex]f'(y)=e^{9y}\cdot 9(1)+e^{-9y}\cdot (-9)(1)[/tex]

[tex]f'(y)=9e^{9y}-9e^{-9y}[/tex]

Therefore, the differentiation of the given function is [tex]f'(y)=9e^{9y}-9e^{-9y}[/tex].


help fast please lol

Answers

Answer:

Between 0 and 3: decreasing

Between 3 and 4: constant (stays the same)

Between 4 and 8: decreasing

Step-by-step explanation:

how is 2/5 + 3/5 = 1

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

= 2/5 + 3/5 = 5/5 = 1

(When you simplify both numbers, you get 1)

Hope it helps!

Brainliest pls!

Follow me! :)

Imagine cutting up a pizza into 5 slices

If you take 2 slices, then you take 2 out of the 5, so the fractional amount you took is 2/5 of the full pizza.

If your friend takes 3 slices, then she or he takes 3/5 of the full pizza

Adding the two fractional amounts should get us back to 1 full pizza, which is why 2/5+3/5 = 1.

-----------

We could say this:

2/5 + 3/5 = (2+3)/5 = 5/5 = 1

Dividing any number over itself, as long it's not zero, always leads to 1.

So that's why 5/5 = 1.

i need help!! im struggling with this question

Answers

Answer:

1 gallon : 25.6 miles

Step-by-step explanation:

So, the way we can find the rate, or ratio between 2 units is to divide one unit by the other unit.

So basically, we see the first set of units is:

2 gallons - 51.2 miles

So basically, for every 2 gallons, there are 51.2 miles.

To find the ratio, or rate, we must find the miles per gallon.

We can do that by dividing both sides by 2:(g=gallons, m=miles)

2g/2=51.2/2m

=

g=25.6

So for every gallon, there is 25.6 miles.

We can write this as:

1 : 25.6

Hope this helps!

Answer:

25.6

Step-by-step explanation:

51.2/2=25.6

The triangles have a scale of 3: 5. What is the value of a? *

Answers

Answer:

Step-by-step explanation:

multiply the ratio by 24/5 and you have

72/5 : 24

or

14.4:24

Order these numbers from least to greatest.

7.13, 7.013, 7.2, 7.1371

Answers

Answer:

7.013, 7.13, 7.1371, 7.2

Step-by-step explanation:

Solve for x. Round to the nearest tenth, if necessary.
P
29°
х
Q
-6.6
R

Answers

Answer:

The x in this question is 151 degrees

Answer:

13.6

Step-by-step explanation:

Y/3+y/4=5/6
Find the LCD that would eliminate the fractions

Answers

Answer:

the answer is in the picture

अब पछताए होत कया जब चिडिया चुग गई खेत अनुचछेद लिखिए​

Answers

Step-by-step explanation:

Go to the Indian Brainly.

I am Indian.

Can you help me with these questions

Answers

Answer:

7) Unfilled dot at 5 with a line going right

8) A filled dot at 8 with a line going right

9) Unfilled dot at 22 with a line going left

10) A filled dot 13 with a line going left

11) x < 9

12) x > 14

13) x ≤ 11

14) x ≥ 7

Step-by-step explanation:

> means greater than

≥ means greater than or equal to

< means less than

≤ means less than or equal to

If something is greater than the given number then the variable increases in value and will be on the right side of the number line

If something is less than the given number then the variable decreases in value and will be on the left side of the number line

If a variable is < or > the dot is unfilled because it does not include that number

If a variable is ≤ or ≥ the dot is filled because it includes the given number

Please help with this

Answers

The answers would be: B, D, and E
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