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Answer:

Colin will have to wait for 2 hours for the pond to completely empty

Step-by-step explanation:

Volume of a Prism

The volume of a prism of base area Ab and height H is computed with the formula:

V=Ab.H

We are given a pond in the shape of a prism with a trapezoidal base (front view).

The area of a trapezoid of bases b1 and b2, and height a, is given by:

[tex]\displaystyle A_b=\frac{b_1+b_2}{2}.a[/tex]

The parallel bases of the trapezoid have measures of b1=0.6 m and b2=1.4 m, and the height is a=2 m, thus the area is:

[tex]\displaystyle A_b=\frac{0.6+1.4}{2}*2[/tex]

[tex]A_b=2\ m^2[/tex]

The height of the prism is H=1m, thus the volume of the pond is:

[tex]V=2\ m^2*1\ m[/tex]

[tex]V=2\ m^3[/tex]

It's also known the level of the pond goes down by 20 cm (0.2 m) in the first 30 minutes. Note at this moment the level is still at the rectangular prism zone of the pond, thus the volume of water is calculated as the area of the face of water by the height it went down:

[tex]V_w=1\ m*2\ m*0.2\ m = 0.4\ m^3[/tex]

The pond still has this volume of water:

[tex]V_p=2\ m^3-0.4\ m^3=1.6\ m^3[/tex]

The pond was drained [tex]0.4\ m^3[/tex] in 30 minutes, thus the rest of the water will be taken out in

[tex]\frac{1.6}{0.4}*30 =120\ min[/tex]

Thus, Colin will have to wait for 2 hours for the pond to completely empty

9514 1404 393

Answer:

  x = 3

Step-by-step explanation:

Undo what has been done to the variable.

  4(2x/3 +8) = 40

  2x/3 +8 = 10 . . . . . divide by 4

  2x/3 = 2 . . . . . . . . . subtract 8

  x = 3 . . . . . . . . . . . . multiply by 3/2

Answer:

x = 3

Step-by-step explanation:

6.78x - 5.2 = 4.33x + 2.15

6.78x - 4.33x = 5.2 + 2.15

2.45x = 7.35

x = 7.35/2.45

x = 3

Thus, The value of x is 3

-TheUnknownScientist

Answer:

1. Increase

2. Decrease

3. Increase

4. Decrease

Step-by-step explanation:

Answer:

its 7/2

Step-by-step explanation:

Answer:

[tex] {9}^{ - 8} [/tex]

Step-by-step explanation:

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

[tex] {9}^{ - 5 - (3)} [/tex]

[tex] {9}^{ - 5 + (- 3)} [/tex]

[tex] {9}^{ - 8} [/tex]

Answer:

The domain of this function is:

C.) Negative infinity to infinity

The range of this function is:

A.) 0 to infinity

Y=4^x-5+3

The domain of this function is:

C.) Negative infinity to infinity

The range of this function is:

B.) 3 to infinity

Answer:

Answer:

Domain : R

Range : R

Step-by-step explanation:

The given function is  or it can be written as y = 15x.

So, the function is valid for all real values of x and we will get the real value of y for each real value od x.

Hence, all the real numbers or R is the domain of the function.

And all the real numbers or R is the range of the given function. (Answer)

the domain is the set of x -values, the range is the set of y-values. I would have to say the domain is : R [ negative intinity, to infinity]. Equally, I would have to say the range is R [ Negative infinity,  to infinity]

Step-by-step explanation:

Why, because no set is defined for either x or y.

Answer:

The answer is A

Step-by-step explanation:

Answer:

Concept: Area Analysis

answer:

1.0290292e+82

Step-by-step explanation:

asked my bed

Answer:

7 , or 7/1

Step-by-step explanation:

Let ? = x. Set the equation:

(3/10)x = 21/10

Isolate the variable, x. Multiply 10/3 to both sides of the equation:

x * (3/10) * (10/3) = (21/10) * (10/3)

x = 21/10 * 10/3

Simplify the equation. Divide common factors from both the numerator and denominator, and then simplify:

x = (21 * 10)/(10 * 3)

x = (21/3) = 7/1 = 7

x = 7

Answer:

6

Step-by-step explanation:

Apples are sold in bags of 6

Pears are sold in bags of 8

Jerry wants to buy the same number of each fruits

Therefore the least number apples and pears that Jerry needs to buy is 6

Answer:

The first answer i think.

Step-by-step explanation:

Answer:

First you find how many miles can Gavin run in 1/12 of an hour. That way you can use it to times 12 and to find 12/12 of an hour which is 1 hour.

Turn it into an improper fraction. 2×5=10 then add that 10 to the numerator 3 and it'll be 13/5 miles in 7/12 hours. Then divide it by 7.

[tex] \frac{13}{5} \div 7 = \\ \frac{13 }{5 \times 7} = \frac{13}{35} [/tex]

So 13/35 is how many miles Gavin runs in 1/12 of an hour. Now times is by 12 = 146/35

Or

[tex]4 \frac{6}{35} [/tex]

miles per hour

Answer:

Rs. 1250

Step-by-step explanation:

The sweater is purchased at Rs. 1075

The discount is 14%

Let y represent the marked price of the sweater

y × 14% = 1075

y × (100-14)/100= 1075

y × 86/100= 1075

y ×0.86= 1075

0.86y= 1075

Divide both sides by the coefficient of y which is 0.86

0.86y/0.86 = 1075/0.86

y = 1250

Hence the marked price is Rs. 1250

Answer:

D. IV

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

When we label a Cartesian Plane, we label counterclockwise starting at the top right corner:

Top Right Corner = 1st Quadrant

Top Left Corner = 2nd Quadrant

Bottom Left Corner = 3rd Quadrant

Bottom Right Corner = 4th Quadrant

We see that point B is in the Bottom Right Corner. Therefore, it is in the 4th Quadrant and our answer would be D.

Answer:

B is in IV quadrant

Step-by-step explanation:

Count it conterclockwise, begin at the top right corner

Answer:

option B

Step-by-step explanation:

7 sq rt 3 cannot be simplified

4 sq rt 6 cannot be simplified

sq rt 48 = (sq rt 12 · sq rt 4) = (sq rt 4 · sq rt 4 · sq rt 3) = 4 sq rt 3

sq rt 54 =  (sq rt 9 · sq rt 6) = 3 · sq rt 6

combine each pair of like terms:  (7 sq rt 3 + 4 sq rt 3) =  11 sq rt 3

                                                        (-4 sq rt 6 - 3 · sq rt 6) = -7 sq rt 6

Answer:

it is 120

Step-by-step explanation:

Answer:

B: 12r-18

Step-by-step explanation:

22r-10r = 12r

and -18 doiesnt have anythign to combine with

12r-18

Answer:

-3,9

Step-by-step explanation

2 to -4 would take 6 units down and 8-1 is 7 and 7+2 is 9.

hope this helps!

Answer:

50

Step-by-step explanation:

trust me

Answer:

0,05 Km

keksdkdkkckfkvkvkvv

Answer:

B: 4/d-6

Step-by-step explanation:

Plato answer

Answer:

220 ft

Step-by-step explanation:

Given that:

Length of each curtain = 48 inches

Number of curtains required for Abby's curtain company = 55

Fabric of curtains is sold by the fabric store foot by foot.

Unit for conversion:

1 inch = [tex]\frac{1}{12}[/tex] foot

To find:

The fabric (in feet) needed by Abby.

Solution:

First of all, let us convert the length of each curtain (which is given in inches) to feet.

As per given hint:

1 inch = [tex]\frac{1}{12}[/tex] foot

48 inches = [tex]\frac{1}{12}[/tex] [tex]\times[/tex] 48 ft = 4 ft

So, length of one curtain is 4 ft.

Now, number of curtains required are 55.

Therefore, total length of curtains required can be found by multiplying the number of curtains with the length of one curtain.

Total length of curtain required = 55 [tex]\times[/tex] 4 = 220 ft

Answer:

B

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Gets Narrow, and opens opposite direction

Answer:

uh its been 2 weeks so, good luck!

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

yes I can tell what it is

The value of x that will make the two triangles similar by the SSS similarity theorem is: C. 30.

According to the SSS similarity theorem, if all the three corresponding sides of two triangles are proportional or have the same ratio, then both triangles are similar.

If the two triangles are similar we would have:

75/50 = 45/x

Cross multiply and find x

x = (45 × 50)/75

x = 30

Thus, the value of x would be: C. 30.

Learn more about the SSS similarity theorem on:

https://brainly.com/question/4163594

#SPJ9

Answer:

coefficient of what?

Step-by-step explanation: