A square-based rectangular aquarium is filled with water. The side length of the
base is 40 cm. The height of the aquarium is 50 cm. The height of the water is
equal to half the height of the aquarium. A solid cube with side length 20 cm is
then thrown into the aquarium and sinks to the bottom.

Does the water level now reach the top of the tank? If not, how far below the top
of the tank does the water reach?

Answer:

1375

Step-by-step explanation:

10*25+15*75 = 1375

Answer:

C is true also

Step-by-step explanation:

Answer:

B. 8

Step-by-step explanation:

By evaluate, they mean substitute in the values and solve.

x + 3y - n

= 10 + 3(2) - n

= 10 + 6 - 8

= 8

Please lmk if you have questions.

Answer:

It is 8!

Proof:

I took the activity.

Answer:

x = 42

y = 38.

I'm pretty sure this is the answer

Answer: x=42 y=48

Step-by-step explanation:

The angle with 42° and the blank space should add up to 90° so you would have to do 90-42=48° to find the blank space. As opposite angles are equal that means y=48° too.

Then to find out what x is you have to do 90-48=42° as the part with x and y in it has to add up to 90°.

You can check this by checking the two quarters. They should both add up to 90°.

42+48=90°

48+42=90°

So we know its correct.

Hope this helps :)

Answer:

B.

{− 4 1/2, −3/4, 0}

Step-by-step explanation:

find the range of the function rule y=5x-2 for the domain {-1/2, 1/4, 2/5}

domain

-1/2;1/4; 2/5

range

-5 1/2; (5/4-2);0

Graph.

y = 5 x − 2 { − 1 /2 , 1 /4 , 2 /5 }

{− 4 1/2, −3/4, 0}

Step-by-step explanation:

domain

-1/2;1/4; 2/5

range

-5 1/2; (5/4-2);0

{-1/2, 1/4, 2/5}

take the derivative of the equation 4 times. f 4 (x)=0.

Step-by-step explanation:

if you put in the values (-1/2, 1/4, 2/5) in the function

{–8, –2, 18}

Step-by-step explanation:

y = 5x − 2

x = −1.2 > y = 5(−1.2) − 2 = −6 − 2 = −8

x = 0 > y = 5(0) − 2 = 0 − 2 = −2

x = 4 > y = 5(4) − 2 = 20 − 2 = 18

{-1/2, 1/4, 2/5}

Step-by-step explanation:

All you have to do is go on a graphic calculator and input the equation by pressing y= then after putting it in to y= all you have to do is press 2nd (the only blue button) and graph and that will show you all the points to that equation (also known as range and domain)

Hope this helps. :)

Domain is inputs, input the domain for x

y=5(-1.2)-2

y=-6-2

y=-8

y=5(0)-2

y=0-2

y=-2

y=5(4)-2

y=20-2

y=18

range is {-8, -2, 18}

For x = 0,

we substitute zero into the equation to find its y value like so:

y = 5x-2

y = 5(0)-2

y = -2

There you go.

Take the derivative of the equation 4 times. f 4 (x)=0.

Y = 5x – 2  

domain. {–5, –1, 0, 2, 10}

x = -5 then y = 5(-5)  – 2 = -27

x = -1 then y = 5(-1)  – 2 = -7

x = 0 then y = 5(0)  – 2 = -2

x = 2 then y = 5(2)  – 2 = 8

x = 10 then y = 5(10)  – 2 = 48

answer

{–27, –7, –2, 8, 48}

Answer:

25.06 square feet

Step-by-step explanation:

You have to multiply 35.8 times 0.7 (even though it is a decimal) to get the area of Barb's room

Answer:

12.6

Step-by-step explanation:

The equation for a circle's area is [tex]A=\pi r^2[/tex].

We can use this equation to end up with A=(3.14)4

And 3.14 times 4 is 12.56.

Then we have to round to the nearest tenth.

Therefore your answer is 12.6

Hope this helped! :)

Answer:

I'm pretty sure its C or D I could be wrong still but.

Answer:

60

Step-by-step explanation:

x = (1/2)(172 - 52)

x = (1/2)(120)

x = 60

Question:

At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.

Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning.

Answer:

[tex]t > 4.5[/tex]

Step-by-step explanation:

Given

Let T = temperature and t = hours past midnight

So, we have:

[tex](t_1,T_1) = (0,5)[/tex] --- at midnight

[tex]m = -2[/tex] --- rate (it is negative because the temperature drops)

Required

Determine the inequality when the temperature is colder than -4 degrees

First, we calculate the hours when the temperature at -4 degrees

This is represented as:

[tex](t_2,T_2) = (t,-4)[/tex]

[tex](t_1,x_1) = (0,5)[/tex]

Using the slope formula, we have:

[tex]m = \frac{T_2 -T_1}{t_2 - t_1}[/tex]

[tex]-2 = \frac{-4-5}{t -0}[/tex]

[tex]-2 = \frac{-9}{t}[/tex]

Solve for t

[tex]t = \frac{-9}{-2}[/tex]

[tex]t = 4.5[/tex]

This implies that: at 4.5 hours, the temperature is at -4 degrees Celsius.

So, the inequality is:

[tex]t > 4.5[/tex]

Answer:

36

Step-by-step explanation:

36 is the corresponding angle to the angle which is vertically opposite to g.

Corresponding angles are equal.

Vertically opposite angles are equal.

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

X is many things but B is correct.

Answer:

416

Step-by-step explanation:

for 700 350 plus 350 then for dryer 66 extra so 350 plus 66

Answer:

2.13333333333

Step-by-step explanation:

First you do 5x3+1 = 16/5

Second, you do 2x1+1 = 3/2

Third, you divided 16/5 by 3/2.

Answer:

7560

Step-by-step explanation:

Answer:

140

Step-by-step explanation:

Area= 140 square units

Answer:

140

Step-by-step explanation:

Answer:

57

Step-by-step explanation:

It is given in the question that length CDA = 57.

Since the shape is a parallelogram, then we know that length AD=BC and AB=CD.

CDA = CD + AD

BCD = BC + CD

Since BC=AD and CD=CD

BCD = BC + CD is the same as CD + AD = CDA

Therefore BCD is the same length as CDA = 57

In other words, CDA is made up of a long side and a short side = 57

BCD is also made up of a long side and a short side, and since the longs sides are equal to each other and the short sides are also equal to each other in a parallelogram, BCD is the same length as CDA = 57.

Hope this helped!

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 2/21

Explanation:

4/7 x 1/6 = 4/42 = 2/21

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer/Step-by-step explanation:

Based on my knowledge, the solution of the system of equations on the graph would be the point where they all meet. Thus, the answer I would put down is:

(-5,2)

9514 1404 393

Answer:

  3.14 units

Step-by-step explanation:

The formula for the length of an arc is ...

  s = rθ

where r is the radius of the circle, and θ is the central angle in radians.

__

The relationship between degrees and radians is ...

  180° = π radians

If we divide this equation by 3, we see ...

  60° = π/3 radians

__

The radius is given as 3 units, so the arc length is ...

  s = (3 units)(π/3) = π units

The arc length is 3.14 units.

Answer:

Decrease by 5.5 percent

1-.945 = .055

= 5.5 percent

Answer:

YOU DONT KNOW THIS SMH

Step-by-step explanation:

LEAARN HOW TO WORK

Answer:

x = 12

Step-by-step explanation:

Angle QPR + Angle PQR = Angle HRQ

[tex]30 + 4x + 2 = 8 + 6x \\ (6 - 4)x = 30 + 2 - 8 \\ 2x = 24 \\ x = 12[/tex]

Answer:

17°

Step-by-step explanation:

30°+8+6x=180 ...angles on a str. line

180-30=150

150÷6=25

25-8=17°

therefore 8+6(17°)

4(17°)+2=70°

Answer:

Area of rectangular prism = 1,578 inch²

Step-by-step explanation:

Given:

Length of rectangular prism = 15 in

Width of rectangular prism = 11 in

Height of rectangular prism = 24 in

Find:

Total fabric need

Computation:

Total fabric need  = Area of rectangular prism

Area of rectangular prism = 2[lb + bh + hl]

Area of rectangular prism = 2[(15)(11) + (11)(24) + (24)(15)]

Area of rectangular prism = 2[165 +264 + 360]

Area of rectangular prism = 2[789]

Area of rectangular prism = 1,578 inch²

Answer:

4x+12+3x+7x(3+5)+6=90

Combine like terms.

4x+12+3x+56x+6=90

63x+18=90

63 x = 72

x = 72/63

x = 8/7