a kids pool had a small opening

Answer:

See Explaination

Step-by-step explanation:

According To Question

(Diagram, Please Find In Attachment)

Question 38 . Cos ∅ = 12/13   ∅ in Quadrant-4(Where only Cos & Sec are Positive all other Functions Are Negative in this Quadrant)

Now ∅ Represent a Right Angle Triangle with Base=12 Perpendicular=5 & Hypothenese=13

Sin∅ = -5/13 , Cosec∅=-13/5 , Tan∅=-5/12 , Cot∅=-12/5 & Sec∅=13/12

Question 39 . SinX=-3/4   X Lies in Quadrant-3(Where only Tan & Cot are Positive all other Functions Are Negative in this Quadrant)

Find By Using Basic Formulas

[tex]SinX^{2}+CosX^{2}=1[/tex] ↔ Put Value of Sin∅=-3/4

We get CosX= ±[tex]\frac{\sqrt{5} }{4}[/tex] (but X Lies in Quadrant-3 Where Cosine Is Negative , So Neglect CosX= +[tex]\frac{\sqrt{5} }{4}[/tex])

So CosX= -[tex]\frac{\sqrt{5} }{4}[/tex] ...... now you get the point . All Questions Will Solve like This .

Answer:

288

Step-by-step explanation:

Take the area of every individual section, and add them together.

24

24

100

80

60

Answer:

devide by 1000 is answer

Answer:

divide by 1000

Step-by-step explanation:

1m=1000mm

? = 10mm

10m*1m/1000

=

The underlying vector field,

F(x, y) = -y/(4x ² + 9y ²) i + x/(4x ² + 9y ²) j,

is conservative, so any integral of F over a closed path is 0.

To establish that F is conservative, we want to find a scalar function f(x, y) whose gradient is equal to F(x, y), which entails solving

[tex]\dfrac{\partial f}{\partial x}=-\dfrac y{4x^2+9y^2}[/tex]

[tex]\dfrac{\partial f}{\partial y}=\dfrac x{4x^2+9y^2}[/tex]

Integrating the first equation with respect to x yields

[tex]f(x,y)=-\dfrac16\arctan\left(\dfrac{2x}{3y}\right)+g(y)[/tex]

and differentiating with respect to y gives

[tex]\dfrac x{4x^2+9y^2}=\dfrac x{4x^2+9y^2}+\dfrac{\mathrm dg}{\mathrm dy} \implies \dfrac{\mathrm dg}{\mathrm dy}=0 \implies g(y)=C[/tex]

Answer:

y = -⅓x + 3

Step-by-step explanation:

To find the equation of the graph in the form of y = mx + b (slope-intercept form), we have to find the slope (m) and the y-intercept (b) of the graph:

Slope (m) = change in y/change in x

Slope (m) using the two points on the line, (0, 3) and (3, 2):

m = (2 - 3)/(3 - 0) = -1/3

m = -⅓

y-intercept (b) = 3 (the y-axis is intercepted at this point)

✔️To write the equation, substitute m = -⅓ and b = 3 into y = mx + b:

Thus,

y = -⅓x + 3

Answer:

H

Step-by-step explanation:     6  4  17  30

if x = 0     f(0) = 2×5^0

                     = 2 × 5

                     = 10

H is the only graph that equals 10 at x=0

Answer:

See the image below for the answer:)

Step-by-step explanation:

Hope this was helpful.

Answer:

25/33

Step-by-step explanation:

- 1 2/3 ÷ - 2 1/5

Change to improper fractions

-(3*1+2)/3  ÷ -(5*2+1)/5

-5/3÷11/5

Copy dot flip

-5/3 * -5/11

25/33

9514 1404 393

Answer:

  20 = 2 + (7 -4) × 6

Step-by-step explanation:

The Order of Operations requires the parentheses be evaluated first, then the multiplication performed. Finally, the addition is performed.

If each of the blanks is filled with a single digit, the result of the multiplication must be a composite number greater than 10. Those are 12, 14, 15, 16, 18, 20. For the expression shown above, we have chosen to make the product be 18. That means the first blank is filled with 2 and the remaining blanks must evaluate to one of the products 2×9 or 3×6.

We have chosen 6 for the last blank, so the two blanks in parentheses must have a difference of 3. The digits 2 and 6 cannot be used, leaving possible choices as (3-0), (4-1), (7-4), (8-5).

Our final expression is chosen to be ...

  20 = 2 +(7 -4)×6

Answer:

Real number and Irrational number

Step-by-step explanation:

Given

[tex]-\sqrt{ 20[/tex]

Required

The set it belongs to

First, solve the expression

[tex]-\sqrt{ 20} = -4.472136[/tex]

The above number is not an integer and it is not whole or natural because it has decimal points

It is not a rational number because it cannot be expressed as a simple fraction

However, the number can be categorized as either irrational or real because of the level of the decimal point in the result

Answer:

[tex]sec x = - \frac{3}{2}[/tex]

Step-by-step explanation:

[tex]cos x = \frac{-2}{3}\\\\sec x = \frac{1}{cosx}\\\\Therefore, sec x = \frac{3}{-2} = \frac{-3}{2}[/tex]

Answer:

sec x = -3/2

Step-by-step explanation:

sec = 1/cos

sec x = 1 / (-2/3)

sec x = -3/2

Step-by-step explanation:

P(red) = 12/(12+10+5+4+29)

= 12/60

= 1/5

= 0.2

= 20%

Answer:

270

Step-by-step explanation:

Answer:

the answer is 270

Answer:

The radius is 6 cm rounded

Step-by-step explanation:

[tex]C[/tex] stands for circumference

[tex]r[/tex] stands for radius

here's the formula to find the radius:  [tex]r=\frac{C}{2\pi }[/tex]

[tex]r=\frac{36}{6.283}[/tex]

[tex]r=5.729[/tex]

Hope this helps

Answer:

r = 18/pi or approximately 5.732484076 cm

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

36 = 2*pi*r

Divide each side by 2 pi

36 / (2pi) = 2pi r/ (2pi)

18/ pi = r

Using 3.14 for pi

18/ 3.14 = r

5.732484076 = r

Taxi Word Problem

C = 3.50 + .50m + 3

C = 3.50 + .50(13) + 3

C = 3.50 + 6.50 + 3

C = 13

The total cost will be $13.00

Rock Climbing Word Problem

Trina: 5 + 3.25h = 21.25

Now, subtract 5 from both sides.

3.25h = 16.25

Now, divide both sides by 3.25.

h = 5

Trina spent 5 hours at the facility.

Ralph: 21.25 - 5/ 3.25 = h

Subtract 5 from 21.25

16.25/ 3.25 = h

Now divide

5 = h

Ralph will spend 5 hours at the facility to spend the same amount as Trina.

I hope I helped you in time! Good Luck!!

Answer:

[tex] y = \frac {4}{3}x - 2[/tex]

Step-by-step explanation:

Given the following data;

Points on the line (x1, y1) = (3, 2)

Slope, m = 4/3

To write the equation in slope intercept form;

First of all, we would determine the intercept of the line.

Equation of straight line is y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

Substituting the values in order to find the intercept, we have;

2 = 4/3(3) + c

2 = 4 + c

c = 2 - 4

c = -2

Therefore, the equation of line is y = 4/3x - 2

[tex] y = \frac {4}{3}x - 2[/tex]

Answer:mean means to average. in order to average, add all the numbers then divide by how many numbers you have.

All these ages add up to 150. because there are 7 ages, divide by 7. this is 21.4 which can be rounded to about 21

46 + 48 + 21 + 12 + 15 + 8 = 150

150 ÷ 7= 21.4285 = 21

Step-by-step explanation:

Answer:

x-intercept(s): (-28, 0)

y-intercept(s): (0, -20)

Step-by-step explanation:

Try This Answer.

Answer: 70 mph

Step-by-step explanation:

Answer:

y = 0

y = 1

Step-by-step explanation:

- 2 < - 1

- 8 < - 1

0 > - 1

1 > - 1

It seems you havent posted a graph

Answer:

a) 90°

b) 90° - 35° = 55°

c) 65° - 40° = 25°

d) 90° - 65° = 25°

e) 180° - 65° = 115°

f) 180° - 35° = 145°

g) 180° - 40° = 140°

h) 65° + 35° = 100°

180° - 100° = 80°

i) 90° - 40° = 50°

j) 35° + 40° = 75°

180° - 75° = 105°

(the answer is written in bold)

Answer:

120cm

Step-by-step explanation:

Answer:

=5

Step-by-step explanation:

perimeter= 2(L)+2(W)

11 =2(1/2)+2W

11=1+2W

11-1=2W

10=2W

Both sides divided by 2

therefore The width is 5

Answer:

A

Step-by-step explanation:

Answer:

548800000000

Step-by-step explanation:

5.6 × 10¹¹ - 1.12 × 10¹⁰

560000000000 - 11200000000

548800000000

Answer:

315 yd cubed

Step-by-step explanation:

To find the volume of the pyramid, we first need to consult the equation below. Thebase is for the rectangular portion, then after multiplied by the height it is divided by 3 to get the pyramid.

[tex]\frac{1}{3} (B * H )[/tex]

To get the base, we multiply the length by the width.

21 * 9 = 189

189 * 5 = 945

945 divided by 3 = 315

Answer:

Let's find the base area:

21 x 9 = 189

Now let's multiply the base area by the height:

189 x 5 = 945

Now let's divide by 3( x 1/3 ):

945 divided by 3(x 1/3) = 315 yd^3 is your answer

Step-by-step explanation:

Formula area of a rectangular Pyramid(just like any other pyramid):

BH x 1/3

To find base we multiply length by width just using the basic formula of finding area of a rectangle.

Then we multiply our base area by our height.

One we've done that we now divide by 3(multiplying by 1/3)