Water is filling a swimming pool at a constant rate. After 4 hours, 2 inches of water have filled the pool. Write an equation that gives the amount of water, w, after t hours.

Answer:

a)sin153°=0.454

cos153°=   -0.891

tan153°=   -0.510

b)sin 204°=  -0.407

cos204°=    -0.914

tan204° =   0.445

c)sin320°=   -0.643

cos320° =  0.766

tan320°=  -0.839

Step-by-step explanation:

Answer:

Cost of a play station game = $11.3

Cost of each water ride = $22.6

Step-by-step explanation:

Entrance tickets = $89.97

Royal meal = $10.85

Cost of a play station game = x

Cost of each water ride = 2x

Find the cost of a water ride

Entrance tickets = Royal meal + 1 play station game + 3 water rides

89.97 = 10.85 + 1(x) + 3(2x)

89.97 = 10.85 + x + 6x

89.97 = 10.85 + 7x

89.97 - 10.85 = 7x

79.12 = 7x

x = 79.12/7

x = 11.302857142857

Approximately to the nearest tenth

x = $11.3

Cost of a play station game = x = $11.3

Cost of each water ride = 2x

= 2(11.3)

= $22.6

Answer:

15x^9

Step-by-step explanation:

A=l x w

5x^4 times 3x^5 is basically 3*5*x^4*x^5

when you multiply exponents with the same base, you add the exponents, so it becomes 15x^9

Answer:

D

Step-by-step explanation:

The midpoint is the average of the 2 endpoints, that is

midpoint = [tex]\frac{-7+12}{2}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5 → D

Answer:

365.7 km²

hopefully this answer can help you to answer the next question.

Equation representing the relation between the cost and the weight of the chicken has been given as,

Here, y = cost of the chicken

x = weight of the chicken

By substituting the values of different weights (x) in the given equation we can find the cost of the chicken (y).

For x = 1,

y = 7×1

y = 7

For x = 2,

y = 7×2

y = 14

For x = 3,

y = 7×3

y = 21

For x = 8,

y = 7×8

y = 56

       Therefore, the complete table will be,

Weight (lb),x      1            2             3              8

Cost ($),y          7           14            21            56

Learn more about the proportional relation,

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Answer:

x = 41°, y = 139°

Step-by-step explanation:

The given parameters are;

Line m is parallel to line n and lines m and n have a common transversal

The corresponding angles formed by the common transversal to the two parallel lines are 41° on line m and x° on line n

Therefore, x° = 41° by corresponding angles formed between on two parallel lines by a common transversal are equal

x° and y° are linear pair angles and they are, supplementary

∴ x° + y° = 180°

∴ x° + y° = 41° + y° = 180°

y° = 180° - 41° = 139°

y° = 139°.

[tex]\\ \sf\longmapsto \dfrac{2}{3}+f=\dfrac{1}{5}[/tex]

[tex]\\ \sf\longmapsto f=\dfrac{1}{5}-\dfrac{2}{3}[/tex]

[tex]\\ \sf\longmapsto f=\dfrac{3-10}{15}[/tex]

[tex]\\ \sf\longmapsto f=\dfrac{-7}{15}[/tex]

Answer:

D. -7/15

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

f+ 2/3-2/3= 1/5-2/3

Step 2: Subtract 2/3 from both sides.

f= -7/15

Answer:

144.5 in ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2) h  where the b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 9.7+24.3) * 8.5

  = 1/2 ( 34)*8.5

   =144.5

Answer:

x = 46.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin  54 = x / 58

58 sin 54 =x

x=46.92298

To the nearest tenth

x = 46.9

Ans : 22

if my ans wrong im srry

Answer:

25 +28+x=180

53+x=180

x=180_53

x=127

Answer:

5

Step-by-step explanation:

Prime factorize 20 , 40 , 35

20 = 2 * 2 * 5

40 = 2 * 2 * 2 * 5

35 = 5 * 7

HCF = 5  

HCF is the common factor found in 20 , 40 and 35  

Answer:

Below

Step-by-step explanation:

The HCF or GCF of these number would be 5!

5 x 4 = 20

5 x 8 = 40

5 x 7 = 35

Hope this helps!

Answer:

around 4.1

Step-by-step explanation:

Using Pythaogrean theorem we get sqrt 32 or 4sqrt2 for the diagonal of the square.

To get x we can use Pythagorean theorem again to set up an equation,

32 + x^2 = 49

This gives us x = sqrt17, which is approximately 4.1231 or around 4.1

Answer:

Step-by-step explanation:

Answer:

x < -3

Step-by-step explanation:

3x<-9

Divide each side by 3

3x/3 <-9/3

x < -3

Open circle at -3 line going to the left

Answer:

Step-by-step explanation:

3x < -9

Divide both sides by 3

x < - 3

x = {........-5, - 4 ,}

Answer:

B. 9.35

Hope this helps...Have a good day!!

Answer:

a.125.89..............

Answer: 7 weeks

Step-by-step explanation:

16X + 127 = 239

16X = 239 - 127

16X = 112

X = 112/16

X = 7

Answer:

Answer:

$46.50

Step-by-step explanation:

pls mark brainliest

The solutions are:

sin(a)  = 24/25

tan(a) = 24/7

For a given point (x, y) and an angle "a" measured counterclockwise from the positive x-axis to a ray that connects the origin with our point, we can think on the situation as a triangle rectangle.

Where the ray is the hypotenuse, the x-component is the adjacent cathetus, and the y-component is the opposite cathetus.

So we have:

x = adjacent cathetus

y = opposite cathetus

h = hypotenuse = √(x^2 + y^2)

Then the trigonometric relations become:

cos(a) = x/√(x^2 + y^2)

sin(a) = y/√(x^2 + y^2)

tan(a) = y/x

Now, we know that we have:

cos(a) = 7/25

then we can see that:

x = 7

and

h = 25 = √(7^2 + y^2)

We can solve the above equation for y:

25 = √(7^2 + y^2)

25 = √(49 + y^2)

25^2 = 49 + y^2

625 - 49 = y^2

√576 = y = 24

Then we have:

x = 7

y = 24

h = 25

Now we can return to our known trigonometric relations and get:

sin(a) = y/√(x^2 + y^2) = 24/25

tan(a) = y/x = 24/7

If you want to learn more about trigonometry, you can read:

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Step-by-step explanation:

According to the fundamentals of Mathematics, as well as corresponding mathematical principles, encompassing trigonometry, are acknowledged to provide the intergenerational definitions for subsequent generations.

Thus far, the radius is equated to half the diameter.

Answer:

7 and - infinity

Step-by-step explanation:

The function is decreasing in nature. The function has a maxima when x is near 7 and as the function is decreasing, the function will approach -infinity as x approaches positive infinity.

Answer:

it is 80⁰

Step-by-step explanation:

cuz the it vertical angle

and to find a just get

180-80-70

Answer:

49.1 milez

Step-by-step explanation:

Total miles driven=45.3+3.8=49.1 miles

Answer: its for an assignment

Step-by-step explanation:

Answer: 2

Step-by-step explanation: if you use a calculator or you could use paper and pencil write out the expression and you should get 2

Answer:

I think B is correct

Step-by-step explanation:

Because it it shows that -4 is going lesser direction including-4 .

Answer:

the answer is (10,35)

Step-by-step explanation:

i took the quiz and im 100% sure

ty have a great day :)

Answer:

Se determina mediante al auxilio del cálculo integral.

Supongamos una fuerza variable con el tiempo. Entonces el impulso es:

J = ∫F(t) dt, para t entre t y to

Si es variable con la posición o con la velocidad se deberá expresar la integral en términos de la posición o de la velocidad.

Step-by-step explanation:

here we want to multiply different monomials, the particular important thing about this problem is learning how to simplify these multiplications.

Here we need to remember the property:

[tex]a^n*a^m = a^{n + m}[/tex]

Now we want to directly multiply the monomials:

a) a³ , -6 a² b and 2 b³

Here we just have:

[tex]a^3*(-6*a^2*b)*(2*b^3)[/tex]

Let's reorder that, so we can separate the variables and the coefficients, so then we can use the above property to solve this:

[tex]a^3*(-6*a^2*b)*(2*b^3) = (-6*2)*(a^3*a^2)*(b*b^3) = -12*a^5*b^4[/tex]

b) 16 x⁶ , -10 xy² and 3/5 x² y²

Like before, we want to simplify:

[tex](16*x^6)*(-10*x*y^2)*(\frac{3}{5}*x^2*y^2)[/tex]

Again, reordering that we get:

[tex](16*\frac{3}{5}*-10)*(x^6*x*x^2)*(y^2*y^2)[/tex]

Now solving each parenthesis:

[tex](16*\frac{3}{5}*-10)*(x^6*x*x^2)*(y^2*y^2) = -96*x^{6 +1 + 2}*y^{2 + 2}[/tex]

Simplifying the last expression we get:

[tex]-96*x^{6 +1 + 2}*y^{2 + 2} = -96*x^9*y^4[/tex]

c)  -4 p² q² and 3/8 pq²

Here we want to simplify:

[tex](-4*p^2*q^2)*(\frac{3}{8}*p*q^2)[/tex]

Using the same approach as before, we will get:

[tex](-4*p^2*q^2)*(\frac{3}{8}*p*q^2) = (-4*\frac{3}{8})*(p^2*p)*(q^2*q^2) = \frac{-3}{2}*p^3*q^4[/tex]

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