Answer:
7092.82 cubic yards
Step-by-step explanation:
The volume of a right circular cylinder is given by:
V represents the volume of a cylinder.
r represents the radius of a cylinder.
h represents the height of a cylinder.
As per the given statement:
Diameter(D) = 19.6 yd and height(h) = 23.52 yd.
Diameter = 2r where r is the radius of the cylinder
Substitute these given values in [1] we have cubic yard
Simplify:
V = 7,092.82291 cubic yard.
Hope this helps!
A right circular cylinder has a height of 1934 ft and a diameter 125 times its height.
What is the volume of the cylinder?
Enter your answer as a decimal in the box. Use 3.14 for pi and round only your final answer to the nearest hundredth.
Answer:
88772677020890.30
Step-by-step explanation:
To calculate its volume, we need to know two parameters - the radius (or diameter) and height:
cylinder_volume = π * cylinder_radius² * cylinder_height
Answer:
11852.97
Step-by-step explanation:
is the correct answer took the test on k12
Simplify. (In the problems where you combine fractions with unlike denominators leave the denominators in factored form.)
Answer:
[tex] \dfrac{a}{a - 4} [/tex]
Step-by-step explanation:
You are subtracting fractions, so as usual with fraction subtraction, you need a common denominator. To get a common denominator, you need to factor each denominator.
[tex] \dfrac{3a}{a + 4} - \dfrac{2a^2 - 16a}{a^2 - 16} = [/tex]
Factor the right denominator. It is a difference of two squares.
[tex] = \dfrac{3a}{a + 4} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} [/tex]
The left denominator is (a + 4). The right denominator is (a - 4)(a + 4). The LCD is (a - 4)(a + 4), so multiply the left fraction by (a - 4)/(a - 4).
[tex] = \dfrac{3a}{a + 4} \times \dfrac{a - 4}{a - 4} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} [/tex]
[tex] = \dfrac{3a^2 - 12a}{(a - 4)(a + 4)} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} [/tex]
Be careful when you do the subtraction of the numerators, 3a² - 12a minus 2a² - 16a. 3a² - 12a - (2a² - 16a). The minus of the subtraction changes each sign inside the parentheses, so you end up with 3a² - 12a - 2a² + 16a. Be especially careful with the +16a.
[tex] = \dfrac{3a^2 - 12a - (2a^2 - 16a)}{(a - 4)(a + 4)} [/tex]
[tex] = \dfrac{3a^2 - 12a - 2a^2 + 16a}{(a - 4)(a + 4)} [/tex]
[tex] = \dfrac{a^2 + 4a}{(a - 4)(a + 4)} [/tex]
[tex] = \dfrac{a(a + 4)}{(a - 4)(a + 4)} [/tex]
[tex] = \dfrac{a}{a - 4} [/tex]
why is math so much work their are like so many steps you need to remember and it's just to much on my brain.
Answer:
ik my head be harding so much
Step-by-step explanation:
like take it out
Solve for j show work
8j-5+j=67
the answer is 8
8j-5+j=67
8J +j
9J-5=67
+5 +5
9J=72
/9 /9
j=8
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
[tex] \large \purple{ \rm{Let's \: solve→}}[/tex]
[tex] \rm{8j - 5 + j = 67} \\ \\ \rm{arranging \: like \: terms} \\ \\ \rm{8j + j = 67 + 5} \\ \\ \rm{9j = 72} \\ \\ \rm{j = \frac{72}{9} } \\ \\ \rm{j = \cancel\frac{72}{9} } \\ \\ \rm{j = 8}[/tex]
[tex]\rule{70mm}{2.2pt}[/tex][tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
What is the value of 1500 divided by (6 squared + 43) x 37
Rewrite : [tex]1500 : (6^{2} +43)[/tex] x 37
Simplify : [tex]1500 : 79[/tex] x 37 = 702.531646...
Round to :
- Nearest whole number : 703
- 1 d.p : 702.5
- 2 d.p : 702.53
- 3 d.p : 702.532
The value of the expression when 1500 divided by (6 squared + 43) x 37 using simplification is 702.531647.
A collection of constants, variables connected using one or more arithmetic operator is called an expression.
The way of writing the complex mathematical problems into simpler forms using certain way is called simplification.
Simplification is solved using BODMAS rule.
The expression 1500 divided by (6 squared + 43) x 37 can be written in mathematical form as:
[tex]\dfrac {1500}{((6)^2 + 43)} \times37[/tex]
This can be simplified as,
[tex]\dfrac {1500}{(36 + 43)} \times37[/tex]
[tex]\dfrac {1500}{79} \times37[/tex]
On further solving, it results to 702.531647.
The value of the given expression is 702.531647.
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1. Consider the pyramid.
(a) Draw and label a net for the pyramid.
(b) Determine the surface area of the pyramid. Show your work.
Answer: 224
Step-by-step explanation:
on the white boards
Answer:
i did it
Step-by-step explanation:
what is the area in the square units of the trapezoid below someone pls
help
Answer:
= 185 units²
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height between the bases and b₁, b₂ the bases
here h = 10 , b₁ = 22 , b₂ = 22 - 7 = 15 , then
A = [tex]\frac{1}{2}[/tex] × 10 × (22 + 15) = 5 × 37 = 185 units²
The zeroes of a 3rd degree polynomial are 1 and (5 –
i).
Find the remaining zeroes.
-1
:)
-5 + i
no other zeros
5 + i
5+ i
?
Answer:
5 + i
Step-by-step explanation:
the Fundamental theorem of Algebra states that a polynomial of gegree n has n zeros , some of which may be complex.
A polynomial of degree 3 will therefore have 3 zeros
given x = 1 and 5 - i are two of the zeros
Complex zeros occur as conjugate pairs , then
5 - i is a zero then 5 + 1 is also a zero
the 3 zeros are x = 1 , x = 5 - i and x = 5 + i
Charles begins finding the volume of a trapezoidal prism using the formula a = one-half(b1 b2)h to find the prism's base area. a = ((x 4) (x 2))x a = (2x 6)x a = (x 3)x a = x2 3x a trapezoidal prism is shown. the bases of the trapezoid have lengths of x 2 and x 4. the height of the trapezoid is x. the height of the prism is 2 x. which expression can be used to represent the volume of the trapezoidal prism? 2x3 6x2 x3 6x2 x3 3x2 2x3 3x2
The volume of the trapezoidal prism having side lengths x, (x+2), (x+4) and height of 2x is 2x³+6x² option first is correct.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of the trapezoidal prism can be given:
[tex]\rm V=\frac{1}{2} (a+b)\times h \times L[/tex]
Where V = The volume of the trapezoidal prism:
Length of the trapezoid L = x
Top width a = (x+2)
Base width b = (x+4)
Height of the trapezoidal prism h = 2x
[tex]\rm V=\frac{1}{2} (x+2+x+4)\times 2x \times x[/tex]
[tex]\rm V=\frac{1}{2} (2x+6)2x^2\\\\\rm V= (2x+6)x^2\\\\\rm V= (2x^3+6x^2)[/tex]
Thus, the volume of the trapezoidal prism is [tex]\rm (2x^3+6x^2)[/tex]
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Answer:
A.
Step-by-step explanation:
right on edge
find variables x, y, and z
Answer:
Step-by-step explanation:
Pls helpppppppppppppppppppppp
Answer:
Both of them are correct because if we simply the fraction of Edwin we will get the fraction of Tony
[tex] \frac{3}{6} [/tex]
[tex] = \frac{1}{2} [/tex]
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
Find n if 103n+26n=131n
Answer:
0
Step-by-step explanation:
•103n+26n = 131n
Combine 103 n and 26 n to get 129n
•129n=131n
Substract 131n from both sides
•129n-131n=0
Combine 129n and -131n to get 2n
•-2n=0
Product of two numbers is equal to 0 if atleast one of them is 0. Since -2 is not equal to 0, n must be 0.
•n=0
Evaluate. 3 x 2/3 x 1/8
Answer:
[tex] \frac{3}{8} \div \frac{2}{3} - \frac{1}{8} [/tex]
Step-by-step explanation:
HOPE IT HELPS (^o^)/
#carryonlearning
Ethel is packing two suitcases for her vacation. The
first suitcase weighs 24 pounds. The total weight of
the suitcases is 49 pounds. What is the weight of the
second suitcase?
Answer:
43646
Step-by-step explanation:
I did not know
Answer:
25 pounds
Step-by-step explanation:
both are 49. and one is 24.
49-24=25. which has to be the weight of the second suitcase.
please help me find m<G
Answer:
m∠G = 60°
Step-by-step explanation:
This is a kite, so its angles sum to 360 degrees. Write an equation adding all of the angles and make them equal to 360:
m∠H + m∠F + m∠E + m∠G = 360
90 + 150 + m∠E + m∠G = 360
Since this is a kite, m∠E = m∠G, so the equation can be represented as:
90 + 150 + 2(m∠G) = 360
Finally, solve by isolating m∠G:
2(m∠G) = 120
m∠G = 60°
Find the least common denominator of 1/5 and 3/10?
Answer:
20 would be the lowest that both 10 and 5 could go into, and that would make the fractions 4/20 and 6/20.
Answer:
10
Step-by-step explanation:
We need to find the lowest common multiple of teh 2 denominator:
So first let's write the first few multiples of 5:
5,10,15,20,25
Now let's write the first few multiples of 10:
10,20,30,40,50
Since 10 is the first number that appears in both lists this is our answer
gary and heather each make potatoes using different recipes the table shows how much potatoes and cheese each person uses.
Answer:
What is the question? Also, your answer looks a bit wrong 1 think t should be 1 oz
Step-by-step explanation:
For every 15 oz potatoes, Garry uses 0.5 oz less cheese than Heather. So Heather's cheesy potatoes have more cheese.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
For Gary's recipe of cheesy potatoes has 15oz of potatoes and 4oz of cheese.
Ratio of potatoes to cheese in Gary's recipe = 15/4
Heather's recipe of cheesy potatoes has 10 oz of potatoes and 3 oz of cheese.
Ratio of potatoes to cheese in Heather's recipe = 10/3
Multiplying with 1.5 in numerator and denominator
Ratio of potatoes to cheese in Heather's recipe = 15/4.5
Thus, for every 15 oz potatoes heather uses 4.5 oz of cheese.
Hence, In Heather's recipe amount of cheese is 0.5 oz more than Garry's recipe per 15 oz. of potatoes.
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Graph!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
see attached
Step-by-step explanation:
The given equation is in "point-slope" form:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
Comparing the equation to the form, you see ...
m = 3(h, k) = (-1, -3)__
The equation is easily graphed by plotting the point (-1, -3) and then drawing a line through it that has a slope (rise/run) of 3. That is, the line will go up 3 grid squares for each grid square to the right. (The origin is a point on the line.)
In a class of 28 pupils, if 12 are females. Calculate the ratio of males : total
Answer:
16 : 28
Step-by-step explanation:
If 12 out of the 28 pupils are female, we can calculate the number of males by subtracting the number of females from the total number of pupils.
28 - 12 = 16
So, there are 16 males in the class. Now, we know that the ratio of males : total is 16 : 28.
I hope this helps! Have a lovely day!! :)
(brainliest is much appreciated!!)
Answer:
give they guy brainliest
Step-by-step explanation:
because hes right
The graph of a function is shown:
which of the following correctly identifies the set of outputs?
a: {(5,-2), (1,-1), (-2,2), (2,5)}
b: {(-2,5), (-1,1), (2,-2), (5,2)}
c: {-2, -1, 2, 5}
d: {-2, 1, 2, 5}
Answer:
B.
Step-by-step explanation:
Use (X, Y)
X being the horizontal line
Y being the vertical line
Alexei wants to hang a mirror in his boat and put a frame around it. the mirror and frame must have an area of 19.25 square feet. the mirror is 3 feet wide and 5 feet long. which quadratic equation can be used to determine the thickness of the frame, x? 2x2 8x − 19.25 = 0 3x2 5x − 19.25 = 0 4x2 16x − 4.25 = 0 4x2 16x 15 = 0
The quadratic equation that can be used to determine the thickness of the frame will be B. 3x² + 5x - 19.25 = 0
What is a quadratic equation?It should be noted that a quadratic equation simply means an algebraic expression of the second degree in x.
In this case, the quadratic equation that can be used to determine the thickness of the frame will be 3x² + 5x - 19.25 = 0
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Answer:
The answer is C. 4x2 + 16x - 4.25 = 0.
Step-by-step explanation:
Find x when y = 18, if y = 5 when x = 4
Answer:
y=18
x=14.4
Step-by-step explanation:
I have no idea what to do here I'm really confused? I think my teacher said it was steps 2 and 3 but i dont see the issue
Answer:
Step 2-3
Step-by-step explanation:
I don't know what's wrong with step 2 but in step 3 the student added the exponent instead of multiplying.
That automatically makes every other step done afterwards wrong but it's not 3-4 because the math is right it's just that step 3 messed up step 4 laws of exponent wise.
Find the surface area of the ball
shown. Use 3.14 for a.
Radius is 16 cm
Ball is sphere
r=16cmSurfAce area:-
4πr^24π(16)^24π(256)1024πcm^23215.36cm^2Answer:
Formula
Surface area of a sphere:
[tex]\sf SA=4\pi r^2[/tex] (where r is the radius)
Given information
[tex]\pi[/tex] = 3.14
r = 16
Final solution
Substitute given values into the equation and solve:
[tex]\sf \implies SA=4 \cdot 3.14 \cdot 16^2[/tex]
[tex]\sf =3215.36 \ cm^2[/tex]
IXL Question: Radical Expressions
Answer:
Step-by-step explanation:
[tex]\sf \sqrt{x^{10}}=\sqrt{x^{2*5}}\\\\[/tex]
[tex]\sf = \sqrt{(x^{5})^{2}}\\\\ = \sqrt{x^{5}*x^{5}}\\\\ = x^{5}[/tex]
WILL GIVE BRAINLIEST HELP HELP HELP
Answer:
Divide y by x. The answer is 8
For example 252 divided by 30 equals 8.4
Round it out to 8.
Answer:
The answer is A
Step-by-step explanation:
you divide the Y by the X
a function is defined by f(0)=1 and f(n)=f(n-1)+n+1. Find f(5)
Answer:
f(5) = 21
Step-by-step explanation:
Given:
[tex]f(0)=1[/tex]
[tex]f(n)=f(n-1)+n+1[/tex]
[tex]\implies f(1)=f(0)+1+1=1 + 1 + 1=3[/tex]
[tex]\implies f(2)=f(1)+2+1=3 + 2 + 1=6[/tex]
[tex]\implies f(3)=f(2)+3+1=6+3+1=10[/tex]
[tex]\implies f(4)=f(3)+4+1=10+4+1=15[/tex]
[tex]\implies f(5)=f(4)+5+1=15+5+1=21[/tex]
Need help asap pls ty
what is the quotient of 1,224 divided by 9
Answer:
136Step-by-step explanation:
Simply divide the numbers, the result is the quotient
1224/9 = 136The quotient of the given expression when 1,224 divided by 9 is 136.
The quotient is defined as the number obtained on dividing a number with some number.
The number left after the division is called as the remainder.
Example: When 37 is divided by 5, the quotient is 5 and the remainder is 2.
The quotient of the following expression can be calculated as:
When 1224 is divided by 9, it gets divisible in 136 times completely, leaving no remainder.
So, it can be said that 136 is the quotient when 1,224 divided by 9.
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PLS HELP
1.
Seats in a theater are curved from the front row to the back. The front row has 18 chairs, the second has 26
and the third has 34, and so on.
a.
Write a recursive rule for this series (2 points):
b. Write an explicit rule in simplified form for this series:
Show the steps to simplify. (2 points)
c. Using the explicit formula, find the number of chairs in row 7 (show work) (3 points):
on Voy bob ochote
bu ma'isto
d. The auditorium can hold 12 rows of chairs. Write a sigma notation for this series, and then use either series
formulas to calculate how many chairs can fit in the auditorium. Show all work. (5 points)
The chairs in the auditorium illustrates an arithmetic sequence
The recursive rule is: an = an-1 + 8; a1 = 26The explicit rule is: an = 18 + 8nThere are 74 seats in the 7th row840 chairs can fit the auditoriumThe recursive ruleFrom the question, we have the following sequence:
Seats: 18, 26, 34
Rewrite as:
26 = 18 + 8
34 = 26 + 8
The above means that:
The number of seats on a row is 8 added to the the number of seats on the previous row.
Hence, the recursive rule is:
an = an-1 + 8; a1 = 26
The explicit ruleIn (a), we have:
a1 = 26 and d = 8
The explicit rule is calculated using:
an = a1 + (n -1) * d
This gives
an = 26 + (n - 1) * 8
Expand
an = 26 - 8 + 8n
Evaluate the difference
an = 18 + 8n
Hence, the explicit rule is:
an = 18 + 8n
The number of seats in the row 7This means that n = 7.
So, we have:
a7 = 18 + 8 * 7 = 74
Hence, there are 74 seats in the 7th row
The sigma notationWe have the maximum number of rows to be 12.
So, the sigma notation would be:
[tex]\sum\limits^{12}_{n=1} {18 + 8n}[/tex]
The total number of seats is:
Sn = n/2(2a + (n -1) * d)
This gives
S12 = 12/2(2 * 26 + (12 -1) * 8)
S12 = 840
Hence, 840 chairs can fit the auditorium
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