Answer:
28unit³
Step-by-step explanation:
given,
1 side has 21/2 unit square area
the side happens to be l×b
h is given as 8/3
the volume formulae is l×b×h
substituding in formulae
21/2×8/3
=28 unit³
this is correct
plzz mark me brainliest
A gas company’s delivery truck has a cylindrical tank that is 14 feet in diameter and 40 feet long. How much gas, in cubic feet, can fit in the tank?
Answer:
[tex]6,157.5ft^3[/tex]
Step-by-step explanation:
We are looking for the volume of the tank which has a cylindrical shape.
The volume of a cylinder is given by:
[tex]V=\pi r^2 h[/tex]
where r is the radius of the circular base and h is the height.
In this case we have:
diameter: [tex]d=14 ft[/tex]
and since the radius is half of the diameter: [tex]r=14ft/2=7ft[/tex]
also the height is: [tex]h=40ft[/tex]
we substitute these values into the equation to find the volume:
[tex]V=(3.1516)(7ft)^2(40ft)[/tex]
solving the expression:
[tex]V=(3.1516)(7ft)^2(40ft)\\V=(3.1416)(49ft^2)(40ft\\V=6,157.5ft^3[/tex]
the tank can fit [tex]6,157.5ft^3[/tex] of gas
Amount of gas filled in tank is 6,154.4 feet³
Volume of cylinders:Given that;
Diameter of cylindrical tank = 14 feet
Length of cylindrical tank = 40 feet
Find:
Amount of gas filled in tank
Computation:
Diameter of cylindrical tank = 14 feet
Radius of cylindrical tank = 14 / 2 = 7 feet
Amount of gas filled in tank = Volume of tank
Amount of gas filled in tank = πr²h
Amount of gas filled in tank = (3.14)(7)²(40)
Amount of gas filled in tank = (3.14)(49)(40)
Amount of gas filled in tank = 6,154.4 feet³
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In a tiny house, an empty hot water heater requires 40 gallons of water. It takes 18 minutes to fill the hot water heater. Assuming a constant rate of flow, find the rate at which water flows into the tank. Express your answer to the nearest tenth of a gallon per minute. *
Answer:
A constant rate of flow, that would be 40/18 = 2.2 gallon per minute
Hope this helps!
:)
Your very helpful my dude
Answer:
Angle 1 or Angle 3
Step-by-step explanation:
They are the only two that are immediately next to angle 2
Answer:
angle 1
Step-by-step explanation:
What is the slope of the line with the equation:
6x + 2y = 8
Answer:
Using the slope-intercept form, the slope is 3 .
Step-by-step explanation:
2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??
help i need this what is it
Answer:
98
Step-by-step explanation:
2+3=2*[3+(2-1)]=8
3+7=3*[7+(3-1)]=27
4+5=4*[5+(4-1)]=32
5+8=5*[8+(5-1)]=60
6+7=6*[7+(6-1)]=72
therefore
7+8=7*[8+(7-1)]=98
x+y=x[y+(x-1)]=x^2+xy-x
Answer:
96?
Step-by-step explanation:
i guessed i mean it has to be greater than 95 and less than 100
In Circle T, TM is a radius. If TM=14.5, find CD. Find the diameter.
Answer:
29
Step-by-step explanation:
multiply by 2
What is the value of x
Answer:
x=8 cm
Step-by-step explanation:
a + b2 = c2
6 squared + b = 10 squared
36 + b = 100
b=100-36
b=64 squared = 8
Answer:
The answer is 8.
6 squared plus b is equal to 100 squared, and all you have to do is simplify the equation nd find the square root of the answer.
Fenyang got 666 rabbits to raise on his farm. From the following month forward, the rabbit population doubled every month.
Answer:
geometric sequence
Step-by-step explanation:
x2 +8x+16=0 in factoring algorithm
Answer:
(x+4)^2 =0
Step-by-step explanation:
x2 +8x+16=0
What 2 numbers multiply to 16 and add to 8
4*4 = 16
4+4 =8
(x+4) (x+4) =0
(x+4)^2 =0
6th GRADE MATH:
Noah bought 2.5 kilograms of colored tile chips for a mosaic art project. What is the mass of the chips in grams?
Answer:
2500 grams
Step-by-step explanation:
to go from kilogram to grams, u should multiply the kilograms by 1000 to get the grams
If two pyramids have the same heights what must be true of the pyramids for them to also have the same volume
Answer:
It is possible, but you must first measure the width.
Step-by-step explanation:
It is possible, but you must be sure.
Answer:
they whould need diffrent width and length
Step-by-step explanation:
imagen you have 2 glasses of watter, and they are both 6 inches high. But one glass has a longer width (aka how far backwords). Wich could hold more watter
Circle P has a circumference of approximately 75 inches.
What is the approximate length of the radius, r? Use 3.14 for . Round to the nearest inch.
a
38 inches
b
24 inches
c
12 inches
d
46 inches
Answer:
C 12 inches
Step-by-step explanation:
you get the circumference formula C = 2 *pi *r
then divide 2 from 75 and then pi and then you get your radius
i hope this helped<3
Step-by-step explanation:
a 38 inches
The radius is half of the circumference.
Now lets figure out what we know.
1.Our circumference is 75 inches
We would have to divide 75 by two to get it in half.
75÷2=37.5
Now we round to the nearest inch.
And our answer is 38 inches (A)
30 POINTS!!
find 10 rational numbers between -2/3 and 2/3
Answer:
Hey! Here is your answer. Hope it helps.
help me fill this out thanks
Answer:
multiply
Step-by-step explanation:
Answer:
[tex]c = 4 \sqrt{3} [/tex]
[tex] \\ [/tex]
Step-by-step explanation:
[tex] \frac{4 \sqrt{3} }{ \sin(60) } = \frac{c}{ \sin(30) } \\ \frac{4 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } = \frac{c}{ \frac{1}{2} } \\ c = \frac{4 \sqrt{3} \times \frac{1}{2} }{ \frac{1}{2} \sqrt{3} } \\ c = \frac{2 \sqrt{3} }{ \frac{1}{2} \sqrt{3} } \\ c = 4\sqrt{3} [/tex]
Sofia is a helper for the kindergarten class and is in charge of picking a video for their end-of-year party. To choose which type of movie they would like best, she decided to survey every other child entering a matinee for a cartoon called, “Three Pretty Princesses.” The total number of children surveyed was 40. What is wrong with the way she selected her sample? Check all that apply. ill give brainliest to whoever answers
Answer:
a,c,d
Step-by-step explanation:
I did the quiz
Answer:
acd edge 2023
Step-by-step explanation:
A coin has heads on one side and tails on the other. The coin is tossed 12 times and lands heads 4 times. Which best describes what happens when the number of trials increases significantly.
Quick question: Is this a multiple choice question and if so, may you provide the multiple choice answers before I give you a proper answer?
Tonya sells make-up part-time. She is paid a monthly commission. She receives 18% for the first $500 she sells and 22% for the balance. She made $356.42 in commission. How much did she sell in make-up?
Answer:
She sold $1,711 in make-up.
Step-by-step explanation:
She sold x.
For the first $500, she gets 18% = 0.18.
For the balance(x - 500), she gets 22% = 0.22.
So her total earnings can be modeled by the following equation:
[tex]E = 0.18*500 + 0.22*(x - 500)[/tex]
[tex]E = 90 + 0.22*(x - 500)[/tex]
She made $356.42 in commission. How much did she sell in make-up?
So
[tex]356.42 = 90 + 0.22*(x - 500)[/tex]
[tex]90 + 0.22x - 110 = 356.42[/tex]
[tex]0.22x = 356.42 + 20[/tex]
[tex]x = \frac{376.42}{0.22}[/tex]
[tex]x = 1711[/tex]
She sold $1,711 in make-up.
I need someone to answer this as fast as possible
Answer:
4/8+1/8=5/8
Step-by-step explanation:
Answer:
4/8 + 1/8 = 5/8
Step-by-step explanation:
To be able to add these two fractions, we first need to get a common base. So we can multiply 1/2 by 4 so its base will be 8. When we multiply one part of the fraction, we also need to multiply the top so 4 times 1 equals 4. So 1/2 is changed to 4/8, which we can add to 1/8 and then we get 5/8!
IM DOIGN A MATH TEST AND I NEED HELP RN
In Circle P, DB and AC are diameters. The measure of angle APD is 50 degrees and PB = 9 cm.
Find the length of arc DC.
Answer:
its 43
Step-by-step explanation:
i had a test with the same question, i promise its right :)
A Wallace's giant bee is 1 1/2 inches long. If this bee is four times longer than a worker bee, how
long is the worker bee?
3/8 in.
1/3 in.
1/8 in.
3/10 in.
Answer:
3/8 in.
Step-by-step explanation:
If the giant bee is four times longer than a worker bee, you'd divide the giant bee's length by 4 to get the worker bee's length. 1.5 ÷4=0.375. 0.375 is equivalent to 3/8. So 3/8 in.
HELLLPPP PLEASE WILL GIVE BRAINLIEST
Answer:
-3
Step-by-step explanation:
Convert every fraction to an improper fraction just to make it easier.
43/10 - (12/5x + 11/2) = 1/2 (-18/5x + 6/10)
Distribute.
= 43/10 -12/5x - 11/2 = -18/10x + 6/10
Simplify using the common denominator, which is 10.
43/10 - 24/10x - 55/10 = -18/10 + 6/10
Isolate the x.
-24/10x + 18/10 = -43/10 + 55/10 + 6/10
Simplify.
-6/10x = 18/10
Multiply by the reciprocal (basically dividing fractions)
18/10 x -10/6
= -3
Answer:
x= -3
Step-by-step explanation:
43/10-12/5x-11/2=9/5x+3/5
-6/5=12/5x=-9/5x+3/5
-6-12x=-9x+3
-3x=9
x=-3
please help i mark brainliest... Students in Mrs. Walsh’s math class wanted to know the favorite snacks of students in the school. How could they generate a random sample to survey?
Line up the students by height and choose the first 20 students
Use the school roster and randomly choose 50 boys.
Obtain an alphabetized list of all the students in the school and select every seventh student.
Place all the names of the students in Mrs. Walsh's math class in a hat and randomly select 10 students.
Answer:
Step-by-step explanation:
Yes, because the sample is random. If she had chosen the participants in any way other than randomly, it would not be representative of her entire school.
The double number lines show the ratio of cups to gallons.
64
0
Cups 4+
Gallons +
0
4
How many cups are in 3 gallons?
cups
Answer:
Step-by-step explanation:
The answer is There are 3 gallons
x y 3 12 5 20 6 24 8 32 The table shows a proportional relationship between x and y. What is the unit rate of y per x? A) 1 B) 2 C) 3 D) 4
Answer:
D.6
Step-by-step explanation:
Answer:d)4
Step-by-step explanation:
-4x-y=24
Whats the missing value in the solution to the equation.
(__,8)
Answer: -8
Step-by-step explanation: First, substitute 8 for y and then solve the remainder of the problem.
-4x - 8 = 24
-4x - 8 + 8 = 24 + 8
-4x = 32
-4x/-4 = 32/-4
x = -8
If f(x) = -2x + 3 and g(x) = 2x + 3; solve for f(3) + g(7)
Answer:
You just add the 2 equations together and fill in the 3 into the x where the f(x) equation is located and 7 into the x where the g(x) equation is located. I hope this helps. Have a great rest if your day!
What is the area of this composite figure?
Answer:
80
Step-by-step explanation:
The diagram shows a regular pentagon, ABCDE, a regular octagon, ABFGHIJK, and an isosceles triangle, BCF. Work out the angle x
Answer:
x is 31.5°
Step-by-step explanation:
Here, we have each interior angle of a regular octagon = 135°
Each interior angle of a regular pentagon = 108°
Therefore, 135° + 108° + ∡B = 360°
Hence, ∡B = 360° - (135° + 108°) = 117°
Since, AB = BC = BF ( sides of a regular polygons (octagon and pentagon))
Hence, ΔCBF is an isosceles triangle and ∡x = ∡CFB from which we have;
∡x + ∡CFB + 117° = 180°
∴ ∡x + ∡CFB = 180° - 117° = 63°
Hence, ∡x = 63° - ∡CFB = 63° - ∡x which gives
2·∡x = 63°
Hence, ∡x = 63°/2 = 31.5°
∡x = 31.5°.
Which expression is a difference of squares with a factor of 2x + 5
[tex]4x^2-25[/tex] is a difference of squares with a factor 2x+5
because when we factorize [tex]4x^2-25[/tex] we get [tex](2x-5)(2x+5)[/tex]
The expression is a difference of squares with a factor of 2x + 5 [tex]$4 x^{2}-25$[/tex].
What is the Difference of squares formula?Given:
2x + 5
To find:
The expression is a difference of squares with a factor of 2x + 5.
Step 1
The difference of squares formula is given by
[tex]$(a+b)(a-b)=a^{2}-b^{2}$$[/tex]
We have been given that one factor is 2x + 5.
Hence, [tex]$\mathbf{a}=\mathbf{2 x}, \mathbf{b}=\mathbf{5}$[/tex]
Step 2
It means that the other factor must be (a - b) = (2x - 5)
Hence, in order to expression, we can multiply the factors.
(2x + 5)(2x - 5)
Step 3
Using the difference of squares formula
(2x + 5)(2x - 5)
[tex]$&=(2 x)^{2}-5^{2} \\[/tex]
[tex]$&4 x^{2}-25[/tex]
The required expression exists [tex]$4 x^{2}-25$[/tex].
Therefore, the correct answer is [tex]$4 x^{2}-25$[/tex].
To learn more about difference of squares formula
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what is the median of this data set? 14,16,18,21,34,60
Answer:
19.5
Step-by-step explanation:
there are two middle values in this data set so you have to add and divide them. 18+21=39
39/2= 19.5
hope this helps ! :)
Answer:
19.5
Step-by-step explanation:
middle is 18 and 21 so we need to take the average of these 2 numbers
18+21=39
39/2=19.5