Answer:
21 litres
Step-by-step explanation:
1 litre = 1000 cubic cm
The rectangular tank is 50 cm long, 20 cm wide, and 33 cm high.
The tank is in the shape of a rectangular prism.
The volume of a rectangular prism is:
V = l * w * h
where l = length
w = width
h = height
Therefor, its volume is:
V = 50 * 20 * 33 = 33000 cubic cm = 33 litres
The tank is filled to a depth of 12 cm.
The volume of water in the tank is:
V = 50 * 20 * 12 = 12000 cubic cm = 12 litres
Therefore, the number of litres left to fill the tank is:
33 - 12 = 21 litres
The liters of water needed to fill the tank is 21 liters.
Determining the volume of the rectangular tankThe first step is to determine the volume of the tank. The tank has the shape of a cuboid. Thus, the formula for the volume of a cuboid would be used to determine the volume of the tank.
Volume of the tank = length x width x height
50 x 20 x 33 = 33,000
Determination of water needed to fill the tank.1 liter = 1000 cm
33,000 / 1000 = 33
The tank is already filled with 12 liters of water.
Water needed = 33 - 12 = 21 liters
To learn more about volume of a cuboid, please check: https://brainly.com/question/46030
Three less than twice a number is seventeen. What is the number?
Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2, and the z-term has a coefficient of -1. The expression has a constant term less than zero. Which expression could he have written? 2 x + z + 5 minus 6 z squared
2 x minus z minus 5 + 2 z squared
Negative 2 x minus z minus 5 + 2 z squared
Negative 2 x + z minus 5 + 2 z
squared
Thank you in advice
[tex]2x - z - 5 + {2z}^{2} [/tex]
Step-by-step explanation:
The coefficient of x is 2= 2x
the coefficient of z is -1 which is = (-1)z= -z
the constant term is less than zero which means that the constant term is a negative number.
so the answer becomes
[tex]2x - z - 5 + {2} { (- 1)}^{2} [/tex]
which is =2x-z-3
Answer:
2 x minus z minus 5 + 2 z squared
Step-by-step explanation:
20 POINTS !! PLEASE ANSWER THIS MATH QUESTION !!
Answer:
7.8
Step-by-step explanation:
Sine 50=6/x
x= 6/Sine 50
x=7.8
Answer:
h ≈ 7.8 cm
Step-by-step explanation:
Use sines to determine the length of the hypotenuse. You know that there is a 50 degree angle, and that the ratio for sine is opposite/hypotenuse. You know that the opposite side from that angle is 6 cm, so you can set up the following equation:
sin50 = 6/h
sin50h = 6
h ≈ 7.8 cm
If $5000 earns $6000 simple interest in 12 years, find the interest rate.
Answer:
2.2% interest
Step-by-step explanation:
what is to be added to -1 to get the number 7 by 5
Answer:
Step-by-step explanation:
let the number be x
-1 + x = 7/5
x = 7/5 +1
x = 12 /5
please mark me as the brainliest
Answer:
x=12/5
Step-by-step explanation:
without actually calculating the cubes, find the value of (16)^3+(-7)^3+(-9)^3
Answer:
(16)^3 = (7 + 9)^3 = 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7
=>(16)^3 + (-7)^3 + (-9)^3 = (-7)^3 + (-9)^3 + 7^3 + 9^3 + 3 x 7^2 x 9 + 3 x 9^2 x 7
= [(-7)^3 + 7^3] + [9^3 + (-9)^3] + 3 x 7^2 x 9 + 3x9^2x7
= 0 + 0 + 3 x 7^2 x 9 + 3 x 9^2 x 7
= 3 x 7^2 x 9 + 3 x 9^2 x 7
= 3 x 9 x 7 x (7 + 9)
= 3 x 7 x 9 x 16
= 3 x 7 x 9 x 8 x 2
= 6 x 7 x 8 x 9
= 3024
Hope this helps!
:)
A mechanic cuts 14 pieces of copper
tubing from a coil. Each piece is 3 1/2
inches long. What is the total length
used?
Answer:
49
Step-by-step explanation:
14*3.5
Because 49/3.5 = 49
Thats how I got it
Hope it helps
Na figura, OC é bissetriz do ângulo AOB. A medida de BÔC está representada,em graus, por uma expressão algérica.
A: Represente, por uma expressão algébrica, a medida de AÔB em graus.
B: Calcule a medida de BÔC e AÔB para x=9
Answer:
We know by given that OC bisects the angle, which means it divides the angle AOB in two equal parts. So,
[tex]m \angle AOB = 3x +5 + 3x +5 =6x+10[/tex]
If [tex]x=9[/tex], then we use this value to find each angle.
[tex]m \angle BOC = 3x+5 =3(9)+5=27+5=32[/tex]
Therefore, angles BOC and AOC measure 32°.
The temperature was 54° at 7:00 a.M. At 3:00 p.M. On the same day, the temperature was 82°. What is the rate of change in temperature during this time?
Answer:
3.5°/hour
Step-by-step explanation:
Rate of change of temperature=change in temperature/Change in time
Change in temperature
=82° - 54°
=28°
Change in time=3:00pm - 7:00am
=8:00 hours
Rate of change of temperature=28°/8 hours
=3.5°/hour
Answer:
The rate of temperature change is 3.5 degree celcius per hour
Step-by-step explanation:
Here, we want to calculate the rate of change of temperature
Firstly, we calculate the number of hours it took the temperature to change
that mathematically = 15:00(3pm) - 7:00(7 am) = 8 hours
now let’s calculate the temperature rise = 82-54 = 28
The rate of temperature change is thus = change in temperature/ number of hours taken
= 28/8 = 3.5 degree celcius per hour
cebOOK
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
y = -1 + 2
y = 3r -4
Answer:
r = 5/3
Step-by-step explanation:
WIll MARK BRAINLIEST IF ANSWER IN 2 MINUTES!!!! Which represents the equation 6 x + 3 y = 12 when solved for y? y = negative 2 x + 4 y = 2 x + 4 y = negative 2 x minus 4 y = 2 x minus 4
Answer:
y=-2x+4
Step-by-step explanation:
6x+3y=12
3y=-6x+12
y=-2x+4
Answer:
The correct answer is y A.) = -2x + 4
Step-by-step explanation:
i just did the test on edge 2020 and got it right
Tobias made a fruit salad with a blueberry to raspberry ratio of 8:6. Tobias' container of blueberries contains 72 blueberries. If he keeps to the same ratio, how many raspberries will Tobias use?
Answer:
54.
Step-by-step explanation:
8/6 = 72/ x where x is the number of raspberries.
8x = 6*72
8x = 432
x = 54.
You buy 3 new shirts for $17 each and 5 new pairs of pants for $12 each. You give the cashier $110. Which of the following is a good estimation of the change you will get back?
Answer:No change
Step-by-step explanation:
3*17=51 + 5*12=60
So 51+60=111. So in reality you would still need to pay $1.
Answer:
you still owe 1 dollar to the store
PLEASE HELPPPPPPPPP
MARKING BRANLIEST
Answer:
A
A
5
Step-by-step explanation:
Rectangular Prism A
volume = length * width * height = 7 cm * 7 cm * 5 cm = 245 cm^3
Rectangular Prism B
volume = length * width * height = 8 cm * 6 cm * 5 cm = 240 cm^3
Answers:
A
A
5
Find the measure of angle DEH:
E
D
ti
+
F
56°
다.
G
Value: 10
The measure of angle DEH is ___ degrees.
Answer:
62
Step-by-step explanation:
I did 180-56=124
124/2 which was 62
a : 27=6:18, find a
Answer: 9
Step-by-step explanation:
The reason for this answer, is because when you decide 18 by 6 it gives you 3. Which means that when you devide 27 by 3 it will give you your answer. 9. You can make sure it’s correct when you do the math. 27/9=3. 18/6=3.
This way, your answers are equivalent to each other.
If you found this answer helpful, give it a five-star rating and a thanks! It would really mean a lot!
(Even a brainliest if you want ;D)
Answer:
a=9
Step-by-step explanation:cross multiply
There is a bag filled with 3 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 reds?
Answer:
here
Step-by-step explanation:
The probability of getting 1 red is 4/7. The probability of getting 2 reds in a row is (4/7)^2 = 16/49.
What is the value of 3 in 731.8?
Answer:
Tens
Step-by-step explanation:
the three is in the tens value
Answer:
value = 30
place = tens
Step-by-step explanation:
( attached for reference)
the digit "3" is in the tens place.
Hence the value is "3-tens" or 3 x 10 = 30
You can compute the slope of a line by using the slope ___
You can compute the slope of a line by using the slope formula. This is given by:
slope,m=(change in y-axis)/(change in x-axis)
=(Δ y-axis)/(Δ x-axis)
Given the points (x1,y1) and (x,y) from a linear graph, then:
slope m will be:
m=(y-y1)/(x-x1)
You can compute the slope of a line by using the slope formula.
Kelsi has 48 books 2/6 of those books are fantasy and sci-fi .3/8 of those books are sci-fi . How many of kelsi’s books are sCI-fi
Answer:
We know that 2/6 * 48 = 16 books are fantasy and sci-fi. Of those, 16 * 3/8 = 6 books are sci-fi.
Answer:
[tex]6[/tex]
Step-by-step explanation:
[tex]\frac{2}{6} \times 48[/tex]
[tex]16[/tex]
[tex]16 \times \frac{3}{8}[/tex]
[tex]\frac{48}{8}[/tex]
[tex]=6[/tex]
Given ΔADC and ΔAEB, What is AE?
Answer:
AE = 43.2 units
Step-by-step explanation:
As per the given question image, it can be seen that in the [tex]\triangle ADC \text { and }\triangle AEB :[/tex]
1. [tex]\angle B = \angle C = 90^\circ[/tex]
2. [tex]\angle A[/tex] is common to both the triangles.
3. Two angles are common, so the third angle [tex]\angle E[/tex] is also equal to [tex]\angle D[/tex].
All the three angles in the [tex]\triangle ADC \text { and }\triangle AEB[/tex] are equal to each other, hence the triangles are similar.
As per the property of similar triangles, the ratio of their sides will be equal.
AB : AC = AE : AD
AC = 88 units
BC = 55 units
AB = AC - AB = 33 units
Let side AE = [tex]x[/tex] units
Side AD = AE + ED
So, AD = [tex]x + 72[/tex]
Using the ratio:
[tex]\dfrac{AB}{AC} = \dfrac{AE}{AD}\\\Rightarrow \dfrac{33}{55} = \dfrac{x}{x+72}\\\Rightarrow 55x = 33 \times 72\\\Rightarrow x = \dfrac{3\times 72}{5}\\\Rightarrow x = 43.2\ units[/tex]
So, AE = 43.2 units
Find the remainder when p(x)= x^5 + x^4 + x^3 + x^2 + 2x + 2 is divided by q(x) = x + 1
Answer:
0
Step-by-step explanation:
Given a polynomial p(x) divided by (x + h), then the remainder is
p(- h)
Here divisor is (x + 1), so evaluate p(- 1) for remainder
p(- 1) = [tex](-1)^{5}[/tex] + [tex](-1)^{4}[/tex] + (- 1)³ + (- 1)² + 2(- 1) + 2
= - 1 + 1 - 1 + 1 - 2 + 2
= 0
This means that (x + 1) is a factor of p(x)
Among 120 people , 80 drink tea and 40 drink
coffee. 20 of them drink neither tea or coffee;
answer the following question with the help of
a venn-diagram
1.how many of them drink tea only
[tex]please \: see \: the \: attached \: picture \: for \: \\ full \: solution \\ hope \: it \: helps....[/tex]
Can someone help me with this?
will mark as brainliest.
What angle corresponds to ∠M?
Answer: Angle B
Step-by-step explanation:
Since the two shapes are similar. The angles stay with the shape. This means that angle M should correspond to angle B.
Answer: angle b .
Step-by-step explanation:
What is the equation of the line, in point-slope form, that passes through the points (-7, -10) and (-6, -8)?
Answer:
not sure if that is the Answers
The equation of a line is y = mx where m is the slope. That line passes through the origin. If you want it to pass through some point (a, b) you subtract the coordinates like this: y - b = m (x - a). That is the point-slope form, and you can rewrite it in other forms if it is convenient. You may do this with any point on the line.
Step-by-Answers
For how many teachers are both p Ar true and q false?
The diagram represents three statements about teachers:
p.9, andr
2.
OOOO
9
5
GA
7
9
2.
9
4.
6
Mark this and retum
Save and Exit
Next
Submit
Answer:
C. 5
Step-by-step explanation:
Believe in me
Solve for a side in a right triangle
Answer:
1.88 = ?
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adjacent / hypotenuse
cos 20 = ?/ 2
Multiply each side by 2
2 cos 20 = ?
1.879385242 = ?
To the nearest hundredth
1.88 = ?
Simply Savings Bank offers a simple interest rate of 10% per year. Compound Capital Bank offers an interest rate of 8% per year compounded continuously. If Shakira plans to invest $200 for 5 years, which bank should she choose?
Answer:
She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.
Step-by-step explanation:
A simple interest rate account yields a return that follows the formula below:
[tex]return = C + C*r*t[/tex]
Where C is the invested money, r is the interest rate and t is the elapsed time in years.
While a compound interest rate account yields a return that follows the formula below:
[tex]return = C*e^{r*t}[/tex]
Therefore for the Simply Saving Bank she'll earn:
[tex]return_{1} = 200 + 200*0.1*5\\return_{1} = 200 + 100\\retrun_{1} = 300[/tex]
While the Capital Bank she'll earn:
[tex]return_2 = 200*e^{0.08*5}\\return_2 = 200*e^{0.4}\\return_2 = 200*1.49182\\return_2 = 298.364[/tex]
She should choose the Simply Savings Bank, since she'll earn around 2 dollars more in comparison to the other bank.
Please help ! I really don’t understand:((
Answer: B
Step-by-step explanation:
just took that
Answer:
the answer is B
Step-by-step explanation:
pls help me any bit can help need it asap though. only need part lll the words cutt of are show work
Answer:
y = 4/3 x - 3.
Step-by-step explanation:
III
y - 5 = 4/3(x - 6)
y = 4/3(x - 6) + 5
y = 4/3 x - 8 + 5
y = 4/3 x - 3.