If the cost to fill the pool is $2.55 per cubic foot, how much will it cost to fill the pool?
It will cost $
to fill the pool.

Answers:

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The given info is:

From that, we can use the pythagorean trig identity to find that cos(theta) = -5/13. Keep in mind that cosine is negative in quadrant II.

Now use the trig identity below to compute cos(2theta)

[tex]\cos(2\theta) = \cos^2(\theta)-\sin^2(\theta)\\\\\cos(2\theta) = \left(\frac{-5}{13}\right)^2-\left(\frac{12}{13}\right)^2\\\\\cos(2\theta) = \frac{25}{169}-\frac{144}{169}\\\\\cos(2\theta) = \frac{25-144}{169}\\\\\cos(2\theta) = -\frac{119}{169}\\\\[/tex]

Other options you could use are these identities

[tex]\cos(2\theta) = 2\cos^2(\theta)-1\\\\[/tex]

or

[tex]\cos(2\theta) = 1-2\sin^2(\theta)\\\\[/tex]

9514 1404 393

Answer:

  x = 2 1/3

Step-by-step explanation:

We can examine the equations to see where the solution lies.

f(x) = (2/3) -x

This has an x-intercept where y=0, at x=2/3. It has a y-intercept where x=0, at y=2/3. Its slope is -1.

h(x) = 3 -2x

This has an x-intercept where y=0, at x=3/2. It has a y-intercept where x=0, at y=3. Its slope is -2.

__

In the first quadrant, the graph of h(x) is farther from the origin and steeper than the graph of f(x). The lines must cross in the 4th quadrant at some value of x that is greater than 3/2. The fraction in the definition of f(x) suggests that the solution will be a multiple of 1/3.

The attached table shows a couple of guesses at values of x that would make f(x) = h(x). We find that x = 7/3 is the solution we're looking for.

_____

Additional comment

Repetitive function evaluations are done conveniently and with fewer errors by a calculator or spreadsheet that can work with tables of values. Here, we have used a graphing calculator. These tools are readily available for free on almost any phone, tablet, or desktop computer platform.

Answer:

Step-by-step explanation:

GIVEN:    dx / dt=5 in./min.  and  dy/ dt=−6 in./min.

FIND:    dz/ dt when x=12 in. and y=9 in.

Use the Pythagorean Theorem to get the equation

x2+y2=z2

Now differentiate this equation with repect to time t getting

D{x2+y2}=D{z2}   ⟶

2xdxdt+2ydydt=2zdzdt   ⟶  

(Multiply both sides of the equation by 1/2.)

x dx/ dt+y dy/ dt= z dz/ dt              (DE)

Now let x=12 and y=9 and solve for z using the Pythagorean Theorem.

tex2html_wrap_inline125

122+92=z2   ⟶   z2=225   ⟶   z=15

Plug in all given rates and values to the equation (DE) getting

(12)(5)+(9)(−6)=(15)dz/ dt   ⟶

6=15dzdt   ⟶

dz/ dt=615=25 in/min.

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

m = 0.25

Step-by-step explanation:

1.2m − 0.8 = −2.0m

Both side +2.0m

1.2m+2.0m-0.8=-2.0m+2.0m

Both side +0.8

3.2m=0.8

Both side divided by 3.2m

[tex]\frac{3.2}{3.2}[/tex]m=[tex]\frac{0.8}{3.2}[/tex]

1×m=[tex]\frac{0.8}{3.2}[/tex]

m = 0.25

The answer is 0.25

Answer:

10 and 64 and is a then not answer

Answer:

Step-by-step explanation:

    2  64,   94

         32,   47

LCM=2*32*47=3008

while doing LCM u should take all the numbers (common numbers and remaining numbers)

But in HCF only common numbers are take for eg .here,HCf is 2because 2 is the only number that divides both the number.

Answer:

p = 4x

Step-by-step explanation:

The perimeter p of a square is 4 times the length of a side x

p = 4x

Answer:

n = 245

Step-by-step explanation:

The given sequence is 3,6,9,12,15,…

nth term of the AP is 735

We know that, the nth term of an AP is given by :

[tex]a_n=a+(n-1)d[/tex]

d is common difference, d = 6-3 = 3

Put all the values to find n.

[tex]735=3+(n-1)3\\\\732=(n-1)3\\\\\dfrac{732}{3}=n-1\\\\n=244+1\\\\n=245[/tex]

So, there are 245 terms in the sequence.

Answer: 8x -3x = 16+4

Step-by-step explanation:

Answer:

c. Assuming that the mean weights of wolves in the populations are different, the probability of obtaining a test statistic that is greater than 2.771 or less than −2.771 is 0.01.

Step-by-step explanation:

Test if the sample means were different:

This means that we have a two-tailed test.

t=2.771 and a p-value of 0.01.

0.01 is the p-value of t = 2.771 multiplied by 2, as we have a two-tailed test(counting both more than 2.771 and less than -2.771). This represents the probabiility of obtaining a test statistic that is greater than 2.771 or less than −2.771 is 0.01, and the correct answer is given by option c.

Answer:

6765

Step-by-step explanation:

the answer is 6765

Answer: 6,765 kg

Step-by-step explanation:

55 x 123 = 6,765kg of Rice

Answer:

true

Step-by-step explanation:

your answer is correct

Answer:

62 degrees since there are supplementary angles

Step-by-step explanation:

∠PQO= 180 degrees - 118 degrees

∠PQO= 62 degrees is the answer.

∠PQO= 180°-∠RQO -------(Supplementary Angles)

∠PQO= 180° - 118°

∠PQO= 62° answer.

Answer:

75

Step-by-step explanation:

Answer:

Area of Figure = 75 sq. units

Step-by-step explanation:

Top Half-Portion: 30 sq. units

Dimensions: 6x5

6 x 5 = 30

Botton Half-Portion: 45 sq. units

Dimensions: 9x5

9 x 5= 45

45 + 30 = 75

Answer:

a) 12/24 * 11/24*10/24

b) 1 - 12/24 * 11/24*10/24

c) 12/24 * 11/24 *12/24

Step-by-step explanation:

Total number of bottles = 12 + 5+7 = 24

a. The probability that all (exactly three) bottles are strawberry flavored is: 212

12/24 * 11/24*10/24

b. The probability that at least one of the three bottles are strawberry flavored is:  

1 - P (no strawberry bottle)

1 -  (12/24*11/24*10/24)

c. The probability that exactly 2

12/24 * 11/24 *12/24

Answer:

70

Step-by-step explanation:

y^3 +6

Let y=4

4^3 +6

64+6

70

Answer:

Derivative: P’(x) = 200 - 2x

If P’(x) = 0 , x = 100

Therefore P’ is positive and P increases until x = 100

So the maximum units to maximize profits is 100 units

And for 100 units the profit in dollar is:

20000 - 10000 = 10000

10000 dollars

Answer:

[tex] \frac{s}{s + 3} [/tex]

Answer:

S/S+3

Step-by-step explanation:

Hope this helps...

Answer:

length of one side = 18.75cm

Step-by-step explanation:

Perimeter of a square = 4 x side

                             75 = 4 x side

[tex]side = \frac{75}{4} = 18.75cm[/tex]                            

Answer:

6/9=2/3

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 6/9

Step-by-step explanation:

btw can you please help me with my latest question in my profile? Would really appreciate it!

Answer:

5164

Step-by-step explanation:

Answer: 576

Step-by-step explanation:

4x4x4x4 = 256

10+ 256 +22

288 divided by 4/8

576

Answer:

$3.72

hope this helps

have a good day :)

Step-by-step explanation:

Because 1 orange cost 0.93 so you multiply it by 4 to get 3.72

Answer:

$3.72

Step-by-step explanation:

ok so we need to divide 2.79÷3 so we can know how much each orange coast.

2.79÷3 = 0.93

now add 0.93 to 2.79

2.79+0.93 = 3.72

Answer:

y= -2/8x + 3

Step-by-step explanation:

Step-by-step explanation:

The slope-intercept form of the equation is :

y =  mx+b

The given equation is :

-2x-8y= 24

Taking x term to RHS.

-8y = 24 +2x

Dividing both sides by -8

[tex]\dfrac{-8y}{-8} = \dfrac{24}{-8} +\dfrac{2x}{-8}\\\\y=-3-\dfrac{x}{4}\\\\or\\\\y=\dfrac{-1}{4}x+(-3)[/tex]

Hence, this is the required solution.

Answer:

D

Step-by-step explanation:

Equilateral acute because all sides are equal

Answer:

Step-by-step explanation:

x+62=90 degree (being perpendicular)

x=90-62

x=28 degree

x+25=90 (being perpendicular)

x=90-25

x=65 degree

Answer:

1)X+62 =90

x+62-62=90-62

x =28

2) X+25+90+180 =360

x +295=360

x =360-295

x =65

Answer:

[tex]\frac{10}{27}[/tex]

Step-by-step explanation:

[tex]-\frac{2}{9} (-\frac{5}{3})=[/tex]

-2 · 5/ -9 · 3 =

10/27 =

[tex]\frac{10}{27}[/tex]

Answer:

[tex]\frac{10}{27}[/tex]

Step-by-step explanation:

[tex]\frac{-2}{9} *\frac{-5}{3}[/tex]

multiply numerator with the other numerator

-2 × -5 = 10 (numerator)

multiply denominator with the other denominator

9 × 3 = 27 (denominator)

put it in its correct order

Answer:

9 yards

Step-by-step explanation:

3 yards make 2 skirts

2x3=6

3x3=9

9 yards make 6 skirts

Answer:

12.56

Step-by-step explanation:

A = 3.14*2^2 = 12.56