The length of a rectangular swimming pool is 20 feet greater than the width. The surface area of the pool is 1,500 square feet. What are the length and width of the pool?

Answer:

Value of cosθ is ±√7/3 .

Step-by-step explanation:

According to the Question , value of :

[tex]\red{\implies sin\theta = \dfrac{\sqrt2}{3}} [/tex]

And , we know the identity of sine and cosine as ,

[tex]\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }[/tex]

Using , this identity we have ;

[tex]\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}[/tex]

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

[tex]\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}[/tex]

Answer:

6 Flower hats

Step-by-step explanation:

If you are asking for whole number answers, then the answer is 6 Flower hats.

check:

6X27=162 and 4 plain hats, 4X22=88, 162+88=250.

hope it helps!

The required number of hats with flowers is 6.

Given that,
Scooter the clown buys flower hats for $27 each and plain hats for $22 each. If he spends a total of $250 on hats, how many hats have flowers is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
let the hat with flower be x and the plain hats be y,
Total number of hats = 10
x + y = 10 - - - - - (1)
According to the question,
27x + 22y = 250 - - - - -(2)
Solving equation 1 and 2
gives
x = 6 and y = 4

Thus, the required number of hats with flowers is 6.

Learn more about arithmetic here:

brainly.com/question/14753192

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Answer:

(4, 0)

Step-by-step explanation:

3x + 4y = 12

2x - y = 8

8x - 4y = 32

11x = 44

x = 4

y = 0

Answer: the ordered pair is (4,0)

Step-by-step explanation:

Answer:

m =40

Step-by-step explanation:

m/4 -3 = 7

Add 3 to each side

m/4 -3+3 = 7+3

m/4 = 10

Multiply each side by 4

m/4 *4 = 10*4

m = 40

Answer:

Step-by-step explanation:

for table the equation is

A)   y = 2x + 5

for graph equation is

y = 1/2x -1

Answer:

C. 650-40x<500-20x

Step-by-step explanation:

To withdraw means to take away (650-40x       500-20x)

Daryl, allegedly, has less money than Brenda (650-40x<500-20x)

Hope this helps. Have a nice day.

Answer:

650 - 40x < 500 - 20x

Step-by-step explanation:

Answer:

f(3) = 10

Step-by-step explanation:

If x = 3 then fill in the x's on the original equation and solve;

f(x) = 2x + 4

f(3) = 2(3) + 4

2 x 3 = 6

6 + 4 = 10

So, f(3) = 10

Hope this helps!!!

Answer:

f(x) = -2x-15

Step-by-step explanation:

f(x) = -2(x+5)-5 = -2x-15

Answer:

-1/12

Step-by-step explanation:

Answer: B

Step-by-step explanation: EDGE 2022

Answer:

AB=AD

4x=x+15

3x=15

x=15/3

x=5

Answer:

x = 5

Step-by-step explanation:

In a kite, two disjoint pairs of sides are congruent, then

AB = AD , that is

4x = x + 15 ( subtract x from both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Complete question is;

A model for a company's revenue from selling a software package is R = -2.5p² + 500p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.

Answer:

Price to maximize revenue = $100

Maximum revenue = $25000

Step-by-step explanation:

We are told that:

R = -2.5p² + 500p, where p is the price in dollars of the software.

The maximum revenue will occur at the vertex of the parabola.

Thus, the price at this vertex is;

p = -b/2a

Where a = - 2.5 and b = 500

Thus:

p = -500/(2 × -2.5)

p = -500/-5

p = 100 in dollars

Maximum revenue at this price is;

R(100) = -2.5(100)² + 500(100)

R(100) = -25000 + 50000

R(100) = $25000

Answer:

a lot

Step-by-step explanation:

Answer:

the ones I will write doles not go with 180

so remove them ok

they are 3 and 9

if wrong correct me plsssssss

Mark me brainliest plsss

I will always help you understanding your assingments

have a great day

#Captainpower:)

Answer:

6

Step-by-step explanation:

Rachel's cost = $35x + $15  

Taylor's cost = $25x + $75

When are the costs equal? Rachel's cost = Taylor's cost?

35x + 15 = 25x + 75

35x - 25x = 75 - 15

10x = 60

x = 6

Check Rachel's 6 month cost is: 35 x 6 + 15 = 225

Check Taylor's 6 month cost is 25 x 6 + 75 = 225

Answer:

it is approximately 3.23333333

hope that helped and plz mark brainliest :D

Answer:

a) 3/5=12/20

b) 5/6=25/30

Step-by-step explanation:

a.) To find the answer you would first find how much it took to get to 20. 5  times 4 is 20. Then to find the numerator you would do 3 times 4 and that would be 12.

b) To find the answer you would first find how much it took to get to 30. So 30/6 is 5. Then you would divide 25 by 5 and you would get 5.

Answer:

Whoa,

Step-by-step explanation:

Thank you so much for the points! hope your day gets better:)

Answer:

5

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

y = 5x

Step 2: Break Function

Identify Parts

Slope m = 5

y-intercept b = 0

Answer: 4/5 of a box of candy

Step-by-step explanation:

Justine sold 1¹/₅ times the ²/₃ of a box of candy that Grayson sold.

Justin sold;

= 1¹/₅ * ²/₃

= 6/5 * 2/3

= 12/15

= 4/5 of a box of candy

Answer:

105,000 dollars

Step-by-step explanation:

According to your formula, we just mulitply 10,000 times 10 times 1.05 and we get 105,000.

Answer:

16 kg

Step-by-step explanation:

Mass = (5x - 4) kg

Unit Price = 3x/kg

Total Price = mass * unit price

Total Price = (5x - 4)kg * 3x/kg

Total Price = 15x^2 - 12x

Total Price = 192

15x^2 - 12x = 192

15x^2 - 12x - 192 = 0

5x^2 - 4x - 64 = 0

ax^2 + bx +c = 0

ac = 5(-64) = -320

ac = -20 * 16

-20 + 16 = -4

5x^2 - 20x + 16x - 64 = 0

5x(x - 4) + 16(x - 4) = 0

(x - 4)(5x + 16) = 0

x - 4 = 0   or   5x + 16 = 0

x = 4   or   5x = -16

x = 4   or   x = -3.2

x cannot be negative because it would give a negative unit price, so we discard the negative answer.

x = 4

mass = 5x - 4 = 5(4) - 4 = 20  4 = 16

Answer: 16 kg

Answer:

X = 10

Step-by-step explanation:

This is an easy algebra equation that you may not know but the only thing you can do is to add 12 on both sides.  You should get 10 as a result.

Answer:

14

Step-by-step explanation:

14-12= -2

2 + 12=14

X=14 because if u subtract 14 and 12 u get -2 therefore the answer is 14

Answers:

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

Explanation:

You could graph these by hand by determining a bunch of points to plot, but that method is a bit tedious and error prone. I recommend using technology. I used GeoGebra which is a graphing program to get the job done. See the attached image below.

Answer:

CDF is scaled down by a factor of 1/2 of ABC

Step-by-step explanation:

Answer:

AAA (angle angle angle) property.

Step-by-step explanation:

Maroon angle x in the first triangle is equal to the the Maroon angle x in the second triangle and the Orange angle y in the first triangle is equal to the Orange angle y in the second triangle with respect to the property of corresponding angles, and the third angle is 90° which is common between the two triangles hence AAA property is applied because all three angles are similar.

Answer:

5

Step-by-step explanation:

There are five inequality symbols used to represent equations of inequality. These are: less than (<), greater than (>), less than or equal (≤), greater than or equal (≥) and the not equal symbol (≠).

You're welcome? :3

I'm sorry if I don't understand what you are asking.

Have an amazing day, my friend!

Answer:

430 peaches

Step-by-step explanation:

Calculation for How many Peaches did he have to start

Using this formula

Peaches at hand=Remaining Peaches/(100%-Percentage of peaches sold)

Let plug in the formula

Peaches at hand=280/(100%-35%)

Peaches at hand=280/65%

Peaches at hand=430 peaches

Therefore the numbers of Peaches he have to start with is 430 peaches

Answer:

Profit % is 1.94% .

Step-by-step explanation:

The CP of both VCR and TV were same that is Rs 78,000 . So ,

[tex] => CP \ of \ the \ buyer \ = \ Rs78,000 \times 2 = Rs 156,000 [/tex]

As per Question , on one he made a loss of 4% and profit of 8% on the other .

And , the net SP would be ,

[tex] => Total \ SP \ = \ \dfrac{96}{100}\times Rs 78,000 + \dfrac{108}{100}\times Rs 78,000 \\\\=> Total\ SP = Rs 74,800 + Rs 84240 \\\\\boxed{\red{\bf => Total \ SP= Rs 159,040 }}[/tex]

So , here clearly SP > CP . So , there's a profit .Hence profit % would be :-

[tex] => Profit \% = \dfrac{ SP - CP }{CP}\times 100 \\\\=> Profit \% = \dfrac{Rs 159,040-Rs156,000}{Rs156,000}\times 100 \\\\=> Profit\% = \dfrac{3040}{156000}\times 100 \\\\\underline{\blue{\bf => Profit\% = 1.94 \% }}[/tex]