Answer:
Step-by-step explanation:
Only the term 2πrh contains h. Isolate this term on the right by subtracting 2πr^2 from both sides:
S - 2πr^2 = 2πrh
Now divide the left side by 2πr, obtaining:
s - 2πr^2
h = ------------------
The equation S = 2πrh + 2πr² to solve for h is as follows:
h = S - 2πr² / 2πr
How to find the subject of formula in an equation
S = 2πrh + 2πr²
We want to make h the subject of the formula,
Therefore,
S = 2πrh + 2πr²
subtract 2πr² from both sides
S - 2πr² = 2πrh
divide both sides by 2πr
Therefore,
S - 2πr² / 2πr = 2πrh / 2πr
Hence,
h = S - 2πr² / 2πr
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What is 6 3/4 divided by 2 5/8?
Conversion a mixed number 6 3/4 to a improper fraction: 6 3/4 = 6 3/4 = 6 · 4 + 3/4 = 24 + 3/4 = 27/4.
To find new numerator:
Multiply the whole number 6 by the denominator 4. Whole number 6 equally 6 * 4/4 = 24/4
Add the answer from previous step 24 to the numerator 3. New numerator is 24 + 3 = 27
Write a previous answer (new numerator 27) over the denominator 4.
Six and three quarters is twenty-seven quarters
Conversion a mixed number 2 5/8
to a improper fraction: 2 5/8 = 2 5/8 = 2 · 8 + 5/8 = 16 + 5/8 = 21/8
To find new numerator:
Multiply the whole number 2 by the denominator 8. Whole number 2 equally 2 * 8/8 = 16/8
Add the answer from previous step 16 to the numerator 5. New numerator is 16 + 5 = 21.
Write a previous answer (new numerator 21) over the denominator 8.
Two and five eighths is twenty-one eighths
Divide: 27/4 : 21/8 = 27/4 · 8/21 = 27 · 8/4 · 21 = 216/84 = 12 · 18 /12 · 7 = 18/7
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 21/
8 is 8/21) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the next intermediate step , cancel by a common factor of 12 gives 18/7.
In words - twenty-seven quarters divided by twenty-one eighths = eighteen sevenths.
The solution of the expression [tex]6 \dfrac{3}{4}[/tex] divided by [tex]2 \dfrac{5}{8}[/tex] , which are in mixed fraction is [tex]\dfrac{18}{7}[/tex]
A collection of constants, variables connected using one or more arithmetic operator is called an expression.
The combination of a whole number and a proper fraction is called as mixed fraction.
The following expression can be simplified as:
Here, both the fraction are converted into improper fraction as[tex]\dfrac{27}{4}[/tex] and, [tex]\dfrac{21}{8}[/tex]
Now, the following expression is simplified as:
[tex]\dfrac{\dfrac{27}{4}}{\dfrac{21}{8}}[/tex],
Reciprocal the expression, so that the division sign changes to multiplication.
[tex]\dfrac{27}{4} \times \dfrac{8}{21}[/tex]
Thus, the solution will be [tex]\dfrac{18}{7}[/tex].
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help me pleasennn,n7890
Answer:
5(b+3)
Step-by-step explanation:
Which expression represents the amount of money in Frank's account?
Frank deposits $20 a week into his bank account for several weeks.
help
Answer:
20w
(w represents how many weeks)
Step-by-step explanation:
Please help me I will give you the brain thing and extra points. 3/5
Answer:
Step-by-step explanation:
Its A and B because you can connect that B to the A properly, all the other wont go right
Write the following equation in slope-intercept form:
4x - 3y = 12
y = 4/3x - 12
y = -4/3x + 3
y = 4/3x - 4
y = -4x + 12
Combine the cube of k and 27
Answer:
27k
Step-by-step explanation:
27 + k
Find the value of x.
Please right answer only!
Write a story that could represent this math problem.
The equation two sixths times three fourths equals blank. Below is a rectangle partitioned into twenty four units. Each unit has a width of one sixth and a length of one fourth. The first two rows of the rectangle has a width of two sixths and its three columns has a length of three fourths.
When jake woke up, he said "Hazah! today is my b-day!" and he ran down stairs, the party had already started! His freinds had all come over, Puggermen, their dog, was jumping up on him. When it turned late, & it was time for cake. They didnt know how to cut it! They figured it was 2/6 x 3/4 equals a 4th of a quarter, when they figured it out, it was a qurter to 1! 0.25.
Hope I help :)!Help pleaseee!!!!!!!!!!
Shawna works at a local pet store. When she works 3 hours, she earns $27. When she works 8 hours, she earns $72. Which equation represents her total wages 'y' based on the hours that she works 'x'?
1. y=8x
2. y=27x
3. y=72x
4. y=9x
Answer:
4
Step-by-step explanation:
Help me with this please?
Answer:
Tops bottoms and more
Step-by-step explanation:
my brother is really good at this
please help me on this math problem im tryna bring my grades up before my mom kills me
Answer: y+1
Step-by-step explanation:
solve 3 and 2/3 minus 2 and 4/7 equals blank.
1 and 2/21
5 and 6/10
5 and 6/21
6 and 8/21
Answer:
1 and 2/21
Step-by-step explanation:
Hope this helps
Can you ever have a function and a relation at the same time? Why or why not?
Answer: If you think of the relationship between two quantities, you can think of this relationship in terms of an input/output machine. If there is only one output for every input, you have a function. If not, you have a relation. You can conclude that this set of ordered pairs does not represent a function
Step-by-step explanation:
Hope this helps :) good luck!!
ok ppl ill give 50 points just if you tell me how to add and subtract RADICALS
Answer look it up learn to add and subtract radical expansions
Step-by-step explanation:
Answer:
well first you have to simplify them and then to add or subtract radicals, the indices and what is inside the radical (called the radicand) must be exactly the same. If the indices and radicands are the same, then add or subtract the terms in front of each like radical. If the indices or radicands are not the same, then you can not add or subtract the radicals.
Step-by-step explanation:
A pillow that usually costs $18 is marked down 25%. Which expressions can be used to find the new price of the pillow? Check all that apply.
A: 18 – 0.25(18)
B: 18 – 0.75(18)
C: 0.25(18)
D: 0.75(18)
E:18(0.25) + 18
Answer:
A and D are correct
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
You need to find 25 percent, so you do 0.25*18. You are subtracting that number from 18.
Play Time Distributing buys backyard swing sets for $155 and marks them up 90% to determine the selling price. Suppose Mrs. Vance buys a swing set and tips the installers 18% of the selling price. What is the total amount that she pays to the nearest cent?
Help me plz with this extra credit i need it :)
Answer:
144.5 cm^2
Step-by-step explanation:
Triangle Area = (b * h)/2
h = 17
b = 34 - 7 - 10
b = 17
A = (17 * 17)/2
A = 144.5
what is the property of 8x1 = 8
Multiplicative Identity
Answer:
Multiplecative Identity
Step-by-step explanation:
All of the following are equivalent except _____.
7.5:4.5
5 is to 3
15/5
45/27
Which of the following is not a proportion?
1/4=3/12
8/6=20/15
2/4=3/6
4/10=12/20
On a field trip, there are 12 adults and 14 students.
What is the ratio of the number of adults to the total number of people on the field trip?
6 to 7
26 to 12
12 to 14
6 to 13
In a group of students, the ratio of girls to boys is 3 to 2.
If there are 15 girls, how many total students are there?
20
25
10
30
Answer:
For number 2 the answer is 8/6=20/15
The answer for 3 is 12:26
Step-by-step explanation:
The local newspaper has letters to the editor from people. If this number represents % of all of the newspaper's readers, how many readers does the newspaper have?
When we use the formula for the area of a triangle, why do we use the height and not the hypotenuse?
Answer:
area is a half x l x h
Step-by-step explanation:
we cannot use the hypotenuse because it wouldn't bring the area
What statement is true?
Answer:
D
Step-by-step explanation:
explain how to make these couculations mentaly a. 99+54 b.244-99
PLEASE MARK BRAINLIEST!
Answer:
Use estimation
Step-by-step explanation:
A) 99 + 54
estimate that 99 is 100
estimate that 54 is 55
Add 100 and 55 together
100 + 55 = 155
Remember that you added 1 to 99 and 1 to 55
So you must subtract 2 from 155
155 - 2 = 153
Your answer is 153.
B) 244 - 99
estimate that 244 is 245
estimate that 99 is 100
Add 245 and 100 together
245 + 100 = 345
Remember that you added 1 to 245 and 1 to 99
So you must subtract 2 from 345
345 - 2 = 343
Your answer is 343.
Remember that you are doing all of this in your head!
I hope this helps!
- sincerelynini
15 points!! Will mark brainliest.
Answer:
The answer would be option 2.
Help plz with this word problem thx
Answer:
Step-by-step explanation: x2
2. Figure JKLM is similar to figure PQRS.
which proportion must be true for these figures
Answer:
Its the last one
Step-by-step explanation:
They match perfectly to the shapes when turned correctly
Therefore, the option (4) is correct.
What is the quadrilateral?
A quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). The word is derived from the Latin words quadri, a variant of four, and latus, meaning "side". It is also called a tetragon,
As per the given diagrams
option (4) is correct because in fourth option all the sides are proportional to each other.
Hence, the option (4) is correct.
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I NEED HELP ASAP!
What is the scale factor?
Answer:
x=10 and scale factor is 15/9 or 1 2/3
Step-by-step explanation:
FIrst, find scale factor. 9 to 15. Times by 15/9 or 1 2/3.
Find x. 6*1 2/3 = 10
Answer:1.6
Step-by-step explanation:
15/9=1.6
This diagram shows three small squares and two rectangles composed of 10 small squares, Jade says this diagram can represent 230. What does a small square represent for Jada? Name a number greater than 230 that can also represent.
Lin says this diagram can represent 2.3, what does a small square represent for Lin. Name a number of less than 2.3 that this diagram can also represent.
Answer:
Step-by-step explanation:
From the figure
A small square represents 10 for Jade's diagramA small square represents 1 for Lin's diagramFrom the figure, we have:
Rectangles = 2 (20 squares)
Square = 3
Represent 1 square with x.
So, the number is represented as:
[tex]Number = 20x + 3x[/tex]
[tex]Number = 23x[/tex]
Jade says the number represents 230.
So, we have:
[tex]23x = 230[/tex]
Divide through by 23
[tex]x = 10[/tex]
This means that:
A small square represents 10 for Jade's diagram
Lin says the number represents 23.
So, we have:
[tex]23x = 23[/tex]
Divide through by 23
[tex]x = 1[/tex]
This means that:
A small square represents 1 for Lin's diagram
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Find the volume of the triangular prism below:
Answer:
62.5
Step-by-step explanation: