A tank that is 80 cm tall and has a base that is 60 cm by 75 cm.
To find the volume of the tank, you can use the formula for the volume of a rectangular prism, which is:
Volume = length * width * height
Using the dimensions given, we can plug them into the formula as follows:
Volume = 60 cm * 75 cm * 80 cm = 4,500 cm^3
This means that the tank has a volume of 4,500 cubic centimeters, and it would take 4,500 cubic centimeters of water to fill it up
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Answer:
Step-by-step explanation:
To find the volume of water that will fill up a tank that is 80 cm tall, 60 cm wide, and 75 cm deep, you can use the formula for the volume of a rectangular prism. The formula for the volume of a rectangular prism is length x width x height, so in this case, the formula would be:
60 cm x 75 cm x 80 cm = 36,000 cm^3
So the volume of water that will fill up the tank is 36,000 cubic centimeters.
Alternatively this also can be written as 806075 cubic cms
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Simplify x+2+3x++5+x+3+2x
Answer: 7x+10
Step-by-step explanation:
combine like terms
x+3x+x+2x+2+5+3
7x+10
Answer:
Step-by-step explanation:
Simplification of : x + 2 + 3x + 5 + x + 3 + 2x = 7x + 10
First: find the (x) and collect them, put them in the bracket (to ensure the + or -)
(x + 3x + x + 2x) + 2 + 5 + 3
= 7x + 2 + 5 + 3
Then we add up the numbers
= 7x + 10
This is the end result.
x + 2 + 3x + 5 + x + 3 + 2x = 7x + 10
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A professor had students keep track of their social interactions for a week. The
number of social interactions over the week is shown in the following grouped
frequency distribution. What is the class width?
Number of Social
Interactions
35-42
43-50
51-58
59-66
67-74
75-82
83-90
91-98
99-106
107-114
Frequencies
5
15
15
20
12
10
8
6
1
2
Answer:
7
Step-by-step explanation:
Given the class interval :
Number of Social
Interactions
35-42
43-50
51-58
59-66
67-74
75-82
83-90
91-98
99-106
107-114
The class width = 7
The class width is the range between each class intervals :
42 - 35 = 4
114 - 107 = 7
106 - 99 = 7
The class width of the given grouped
frequency distribution is; 7
We are given the class intervals as;
35 - 42
43 - 50
51 - 58
59 - 66
67 - 74
75 - 82
83 - 90
91 - 98
99 - 106
107 - 114
Now, the class width is defined as the difference between the upper boundary and the lower boundary of a class.
The class intervals seem to be the same all through and as such the class width is;
114 - 107 = 7
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PLEASEEEE HELP ME OUT!
can someone pls help me on this one
Help meeee with this questionnnnnnnnnn!!!!!!!!!!!!
Given:
The scale factor between two circles is [tex]\dfrac{2x}{5y}[/tex].
To find:
The ratio of their areas.
Solution:
We know that, all circles are similar.
The ratio of the areas of similar figures is equal to the ratio of squares of their corresponding sides or equal to the square of ratio of their corresponding sides.
The scale factor is the ratio of the corresponding sides.
Ratio of areas of circles = Square of scale factor between two circles
[tex]\text{Ratio of areas of circles}=\left(\dfrac{2x}{5y}\right)^2[/tex]
[tex]\text{Ratio of areas of circles}=\dfrac{(2x)^2}{(5y)^2}[/tex]
[tex]\text{Ratio of areas of circles}=\dfrac{4x^2}{25y^2}[/tex]
Therefore, the correct option is D.
please solution and answer a and b thanks you
Answer:
A) 2280 and length is 12mm and width is 190mm
B) 190, 12
Step-by-step explanation:
Area of 1 cylinder: 456
456*5= 2280
38*5=190
diameter:190mm
height:12mm
190*12= 2280
Solve the function. x³+ 2x² - 5x + 12 = 0
Answer:
x= -4
Step-by-step explanation:
!!!!!!!!!!!!!!!!!!!!!
54% of 59.7 is what?
Answer:
Step-by-step explanation:
15.9 beacuse yeah thats it
Translate the following: "Four times a number n is equal to the difference between that number and 10"
Answer:
4n=10-n
n=2
Step-by-step explanation:
add n to both sides
5n=10
divide both sides by 5
n=10/5
n=2
plllllllsss help it's easy
Answer:
the answer is A.
Step-by-step explanation:
hope this helps!!!
plzzzzz anserwd. thxxxxxx
Answer: the answer for #16 is 216
Step-by-step explanation:
1. 75*2=150
2. 33*2=66
3. 150+66=216
Can somebody help me? I need help please
By using concept of angle relationship, we get x equal to 27°.
What are angle relationships defined as?We compare the position, measurement, and congruence of two or more angles when we talk about angle relationships. For instance, two pairs of vertical angles are created when two lines or line segments intersect.
∠BAF+∠EAF=180°
∠EAF=180° - 138°
∠EAF=42°
Since, ∠EAF and ∠BAC are vertically opposite angle,
Hence,
∠EAF = ∠BAC =42°
Again,
∠EAD+∠DAC+BAC=180°
4x+30°+42°=180°
4x=180°-72°
4x=108°
x=27
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Help asap 6th grade math
Answer:
its c
Step-by-step explanation:
What is the volume of a cylinder with radius 5 feet and height 6 feet?
Answer:
150π ft³
Step-by-step explanation:
Volume is ,
=> V = πr²h
=> V = π × (5 ft)² × (6 ft)
=> V = 25 × 6 × π ft³
=> V = 150π ft³
Two numbers are such that twice the greater number exceeds thrice the smaller one by 15 and 1/5 of the smaller and 1/9 of the greater number are together 10. Find the numbers.
Answer: The two numbers are $x = 5$ and $y = 7.5$.
Step-by-step explanation:
Let the two numbers be $x$ and $y$, where $x < y$. We can write the two given statements as the following two equations:
$$2y = 3x + 15$$
$$\frac{1}{5}x + \frac{1}{9}y = 10$$
We can solve this system of equations using elimination. Multiplying the first equation by 5 and the second equation by 9, we get
$$10y = 15x + 75$$
$$9x + y = 90$$
Subtracting these equations, we get
$$8y - 9x = 15$$
Multiplying this equation by 8, we get
$$64y - 72x = 120$$
Adding this equation to 5 times the first equation, we get
$$69y - 72x = 120 + 75$$
$$69y - 72x = 195$$
Dividing both sides by 3, we get
$$23y - 24x = 65$$
Subtracting this equation from 4 times the second equation, we get
$$96y - 36x = 360 - 260$$
$$96y - 36x = 100$$
Dividing both sides by 60, we get
$$\frac{16}{3}y - \frac{6}{5}x = \frac{5}{3}$$
Substituting the expression for $y$ from the first equation, we get
$$\frac{16}{3}(3x + 15) - \frac{6}{5}x = \frac{5}{3}$$
This simplifies to
$$\frac{16}{5}x + \frac{64}{5} = \frac{5}{3}$$
Solving for $x$, we find that $x = 5$. Substituting this value into the first equation, we find that $y = 15/2 = 7.5$. Therefore, the two numbers are $x = 5$ and $y = 7.5$.
Look at picture please help!!
2 Answers:
Choice B) angle R and angle UChoice D) angle K and angle L=====================================================
Explanation:
There are a lot of lines here, so it's easy to get a bit lost if you're not careful. I recommend starting with a blank piece of paper. On it, draw two lines that intersect any way you want. An "X" shape forms. The angles that are opposite one another (eg: top and bottom angles) are known as vertical angles, and they are always congruent.
Going back to your diagram, angle R and angle U fit the description of vertical angles. We used two lines to form these vertical angles. Despite the name, the angles do not have to be aligned vertically. Unfortunately it's a misnomer in my opinion. Angle R is opposite angle U, and both are formed by the two slanted lines that go in both directions. It might help to copy the diagram your teacher has given to you, and then erase the portions that seem extra (eg: erase the ray that helps form angle S, and also erase angle S as well) and it might help show why angle R is a vertical angle pair with angle U.
Similarly, angle K and angle L fit the description as well, so this is the second pair of vertical angles.
Something like "angle E and angle N" is not an answer because we used 3 lines to help form these angles, instead of two only. We can rule out "angle S and angle J" for similar reasons.
As for when you see vertical angles in everyday life, it depends on what the context is. For example, if you're drawing out a floorplan, then knowing the angles may be very handy. You could use a protractor to measure the angles, or you could use geometric properties such as the vertical angle theorem to quickly determine the angle values (if you know some angles already).
Johnny ran a race in 15 seconds, Malik ran the race in 4,92 seconds less
then Johnny, How long did it take Malik to run the race?
Answer:
10.08 seconds
Step-by-step explanation:
15-4.92=10.08
Help ASAP PLSSS!! I’d really appreciate it! Thank youuu!
Can someone give me the answer no links I’ll give brainliest
Answer:
[tex] 1,334.5 \: {cm}^{3} [/tex]
Step-by-step explanation:
Height of the cylinder h = 17 cm
Radius of the cylinder r = 5 cm
[tex]V_{cylinder} = \pi {r}^{2} h \\ \\ = 3.14 \times {(5)}^{2} \times 17 \\ \\ = 3.14 \times 25 \times 17 \\ \\V_{cylinder} = 1,334.5 \: {cm}^{3} [/tex]
ate 1 4 A chef is writing a shopping list for a dinner party. She needs 6 ounces of meat for each guest. If there are 40 guests, how many pounds of meat does she need to buy?
Answer:
1 guest is 6 ounces
40 guests is 240 ounces
240 ounces = 15 pounds of meat
i need this please help me
Answer:
Congruent, Supplementary, Neither
Step-by-step explanation:
in the same order
two copies of one tenth
Answer:
0.2 or 1/5 or one fifth----------------------------------------
Two copies of one tenth translates as:
2*1/10 = 2*0.1 = 0.2 or 1/5Answer:
Two copies of 1/10 = 1/5
Step-by-step explanation:
Given statement,
→ two copies of one tenth.
Forming the expression,
→ 2 × (1/10)
Let's simplify the expression,
→ 2 × (1/10)
→ (2 × 1)/10
→ 2/10
→ 1/5
Hence, the answer is 1/5.
A bottle holds 2 pints. A cartoon holds 3 cups. What is the total the two containers hold in fluid ounces.
Step-by-step explanation:
3x8 is your answer
hopes this helps ^^
A grocer wishes to make 50 kilos of tea by mixing two grades of tea worth rs.16 and rs.18 per kilo respectively .if he wishes to sell the mixed tea at rs.16.80 per kilo ,how many kilos of each grade of tea should he mix?
Answer:
11.1 and 38.9
Step-by-step explanation:
16x + 18 (1-x) = 16.89
2x = 1.11
x = 0.222
0.222 x 50 = 11.1
50-11.1 = 38.9
Simplify (write without absolute value sign): |x-3|, if x>5
Answer:
if x > 5 => x - 3 > 2 >0
=> x - 3 > 0
So |x - 3| = x - 3
Anyone know how to awnser this
The diagram represents two statements: p and q.
Which represents regions A, B, and C?
A) p v q
B) p -> q
C) q ^ p
D) q -> p
Answer:
The Region A represents p
The Region B represents p ∧ q
The Region C represents q
Step-by-step explanation:
The figure is as follows :
Given - The diagram represents two statements: p and q.
To find - Which represents regions A, B, and C?
A) p v q
B) p -> q
C) q ^ p
D) q -> p
Solution -
From the figure, we can see that,
The Region A represents p
The Region B represents p ∧ q
The Region C represents q
The truth table is as follows :
p q p ∧ q
T T T
T F F
F T F
F F F
What is the value of f(x) = –x2 + 3 when x = 1?
This is an unusual question it isn't school related but I'm trying to reverse engineer a formula for WAR ( Baseball statistic) using the variables of OBP (.340) SLG (.430) league average OBP (.324) league average SLG (.413) plate appearances (600) and games played (150) the WAR after all that is an even 2.0 so I'm wondering if anyone on here could reverse engineer an equation using those variables to get 2 as an answer please and thank you
A linear equations in two variables has infinitely many solutions true or false
Answer:
the answer is false because Every system of linear equations has exactly one solution, no solution or infinite number of solutions