Answer:
\( \boxed{\sf Volume \ of \ cone = \frac{785}{3} \: {m}^{3} \: \: or \: \: 261.67 \: {m}^{2} } \)
Given:
Diameter of cone (d)= 10 m
Height of cone (h) = 10 m
To find:
Volume of cone
Step-by-step explanation:
\( \sf Radius = \frac{Diameter}{2} \\ \\ \sf \implies Radius = \frac{10}{2} \: m \\ \\ \sf \implies Radius \: (r) = 5 \: m\)
\( \sf Volume \ of \ cone = \frac{1}{3} \pi {r}^{2} h \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \pi {(5)}^{2} \times 10\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \pi \times 25 \times 10\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \pi \times 250\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times 3.14 \times 250\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{1}{3} \times 785\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{785}{3} \: {m}^{3} \: \: \: \: or \: \: \: \: 261.67 \: {m}^{2} \)
Answer:
262.
Step-by-step explanation:
w.k.t
r = 10\2
or , r = 5
h = 10
V=π r^2 h \3
hence ,
v=22\7 * 5^2 *10\3
261.8
after rounding up
262.
if it helps , please mark me as brainliest
HELP URGENT WHATS THE ANWSER
Answer:
-3,-1
Step-by-step explanation:
The point where they intersect is -3,-1
Hope this helps :D Please mark brainliest if correct :D
Answer:
it's going to be 3,3 is the answer
HELP HELP HELP
Write the inequality in interval notation and graph.
The inequality in interval notation is [ -1, ∞ ) from the given equation x ≥ - 3
What is interval notation ?Continuous sets of real numbers can be represented using interval notation by the numbers that bound them. When written, intervals resemble ordered pairs in several ways. They do not, however, intend to indicate any particular location. Instead, they serve as a concise approach to express an inequality or a set of inequalities.A set of real numbers known as an interval in mathematics contains all real numbers falling inside any two of the set's numbers. For instance, the interval containing 0, 1, and all integers in between is the set of values x satisfying 0 x 1.a collection of all real numbers. The interval notation (,) can be used to denote a function's domain as only real values.Given data :
x ≥ - 3
x is greater than or equal to - 3, so - 3 is our smallest value of the interval so it goes on the left. Since there is no upper endpoint (it is ALL values greater than or equal to 3),
we put the infinity symbol on the right side. The boxed end on 3 indicates a closed interval.
In interval notation it is [ -1, ∞ )
Learn more about Interval notation refer to ;
https://brainly.com/question/26025356
#SPJ1
3. Given the equation determine:
f(x)= x² - 4
f(-3)
Answer:5
Step-by-step explanation: F(-3)=(-3)^2 -4
(-3)^2=9
F(-3)=9-4
F(-3)=5
Answer:
5
Step-by-step explanation:
Choose the sentence with the correct punctuation.
Alex ran well in the race, but lost by a whisker.
Alex ran well in the race but, lost by a whisker.
Alex ran well in the race but lost, by a whisker.
Alex ran well, in the race but lost by a whisker.
The sentence with the correct punctuation would be Alex ran well in the race, but lost by a whisker.
What are punctuation marks?Punctuation marks are those symbols that are used to create meaning in both spoken and written works or sentences.
Examples of punctuation marks include the following:
CommaFullstopSemi-colonColonA comma can be used to separate two clauses in a sentence. That is 'Alex ran well in the race' as the first clause and but lost by a whisker as the second clause.
Learn more about clause here:
https://brainly.com/question/30109261
#SPJ1
8. Preston brushes his teeth for 9.562 seconds. a) What is his brushing time rounded to the nearest tenth? b) To the nearest hundredth? c) To the nearest whole number? d) Write his time in expanded notation.
Answer:
a) 9.6 b)9.56 c)9
Step-by-step explanation:
One and Seventy One Hundredths
wright the number for the decimal names..
When one and seventy one hundredth is written in decimal form, it would be 1. 71
How to write as decimal ?A single part of something that has been evenly divided into one hundred parts is referred to as a hundredth in mathematics. The tenths place is represented by the first digit following the decimal. The hundredths place is represented by the digit that follows the decimal.
This means that when given the number one and seventy One Hundredths in words, then the number, " one " would be written before the decimal and the 71 would be 0. 71 as a hundredth figure.
When put together, this becomes:
= 1 + 0. 71
= 1. 71
Find out more on decimals at https://brainly.com/question/703656
#SPJ1
-9 · (-8) =
O 72
00
o
00
O-72
Find the area of the regular polygons and degree of central angle when given either the apothem or side length.
The length of the apothem is 10. 99cm
How to determine the valuesTo determine the apothem of a polygon, we have to use the formula;
a = s/2 tan (180/n)
Such that the parameters are;
a is the length of the apothem.s is the side length of the polygonn is the number of sides of the polygonNow, substitute the values, we have;
a = 8/2tan(180/9)
divide the values
a = 8/2tan 20
Find the values
a = 8/0. 7279
Divide the values
a = 10. 99cm
Learn more about polygons at: https://brainly.com/question/8409681
#SPJ1
For what value of x does 32X = 93x-4?
=
1
2
3
4
Answer:
B. 2
Step-by-step explanation:
So when we are dealing with exponents identify the following terms
Base: the number being multiplied by itself
Exponent: the number of times you multiply the base number by itself
So in this problem we would have to find what x is in order to find our exponents, you can do this by substiting each number for x and solving as is
\(3^4=3*3*3*3=81\)
\(9^2=9*9=81\)
PLEASE HELP I NEED THE ANSWER QUICKLY!!!
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Bay Side School Seaside School
8, 6, 5 0 5, 8
8, 6, 5, 4, 2, 0 1 0, 1, 2, 5, 6, 8
5, 3, 2, 0, 0 2 5, 5, 7, 7, 8
3 0, 6
2 4
Key: 2 | 1 | 0 means 12 for Bay Side and 10 for Seaside
Part A: Calculate the measures of center. Show all work. (2 points)
Part B: Calculate the measures of variability. Show all work. (1 point)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)
Part A: The mean and median for Bay Side School are 3.8 and 5, respectively, while for Seaside School they are 4.93 and 5.
Part B: The range and IQR for Bay Side School are 8 and 4, respectively, while for Seaside School they are 8 and 2.
Part C: Bay Side School is a better choice for smaller class sizes due to its smaller mean, smaller range, and larger IQR.
Part A: Measures of Center
Bay Side School:
Mean = 3.8 (The sum of all class sizes divided by the number of classes)
Median = 5 (The middle value when class sizes are arranged in ascending order)
Seaside School:
Mean = 4.93 (The sum of all class sizes divided by the number of classes)
Median = 5 (The middle value when class sizes are arranged in ascending order)
Part B: Measures of Variability
Bay Side School:
Range = 8 (The difference between the maximum and minimum class sizes)
Interquartile Range (IQR) = 4 (The difference between the first quartile and third quartile)
Seaside School:
Range = 8 (The difference between the maximum and minimum class sizes)
Interquartile Range (IQR) = 2 (The difference between the first quartile and third quartile)
Part C: Conclusion and Reasoning
If you are interested in a smaller class size, Bay Side School is a better choice. Bay Side School has a smaller mean (3.8) compared to Seaside School (4.93), indicating a generally smaller class size. Additionally, the median class size is the same for both schools, but the range and IQR are smaller for Bay Side School.
This suggests that class sizes at Bay Side School have less variation and are more consistently smaller. Therefore, based on the provided data, Bay Side School is the better choice for smaller class sizes.
For more such questions on mean visit:
https://brainly.com/question/1136789
#SPJ8
Solve for the missing side length
Answer:
x = 10Step-by-step explanation:
Similar right triangles (angle marked congruent).
Same proportion of corresponding sides:
x/15 = 14/21x/15 = 2/3x = 15*2/3x = 108xn=24x7 what is the missing number?
Answer:
21
Step-by-step explanation:
24 x 7 = 168
168 / 8 = 21
8 x 21 = 168
168 = 168
Answer: 21
You would find this by multiplying the problem you know 24x7 which equals 168.8xn=24x7 which means, 8xn=168. So you would have to divide 168 by 8 n=21A fence with 2 gates in it surrounds a lion enclosure.
Each gate is 4 m wide.
an image
What is the length of the fence around the enclosure not including the gates?
The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.
Let's assume the length of the rectangle is 'l' and the width is 'w'.
From the given data, we know that each gate is 4 m wide.
Therefore, the width of the rectangle is:
Width = w + (4 m + 4 m) = w + 8 m
The perimeter of the rectangle is:
P = 2l + 2(w + 8 m) = 2l + 2w + 16 m
Now, we need to subtract the combined length of the two gates from the perimeter:
P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m
So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m
For such more questions on length
https://brainly.com/question/28108430
#SPJ8
Answer for ( f^-1 )
Answer:
Step-by-step explanation:
30 percent off entire purchase the gloves cost $35 before the discount
After setting up the width of the compass using the original line segment, why is it important to keep the compass the same
width before drawing an arc? (1 point)
If the width of the compass changed, it would make the arc smaller or larger. This would then make the line segment to be drawn
smaller or larger, so it would not match the original.
of the width of the compass changed, it would make the arc smaller or larger. This would change the angle the new line segment is
drawn at, so it would not match the original.
O if the width of the compass changed, it would be possible for the arc to intersect the original line segment, which is not allowed.
The width of the compass does not matter. All that matters is that a straightedge is used to draw the line segment
Answer:
If the width of the compass changed, it would make the arc smaller or larger. This would then make the line segment to be drawn smaller or larger, so it would not match the original.
Step-by-step explanation:
We assume your construction is trying to copy the length of a line segment. That length is "measured" by the width of the compass. If it is changed, it no longer matches the length of the segment you're trying to copy, so you will not get the copy you want.
what's the slope of line parallel to the line x-4 = -6
Answer:
Parallel slope is undefined.
Step-by-step explanation:
x - 4 = -6
x = -2
Slope does not exist.
Can somebody please help with this? I've been stuck on it for a while
Given the function f(x) = -12x' + 3x3 – 16+4, what part of the function indicates that the left and right ends point in thesame direction?ObThe number of terms in the functionThe degree of the functionThe constant term of the functionThe leading coefficient of the functionOd
To determine the end behaviour of a function, we look at the term with the highest degree from which we determine the leading coefficient. The leading coefficient could be odd or even. Therefore, the part of the function that indicates that the left and right ends points in the same direction is
The leading coefficient of the function
5. Marissa can buy 3 oranges for $1.35, 4 oranges for $1.80, or 5 oranges
for $2.25. Marissa can by 10 oranges for a price that fits this pattern
or a bag of 10 oranges for $4.25. Which way costs less for
10 oranges? Explain.
Answer:
Marissa can buy 10 oranges in a cheaper by using that pattern
Step-by-step explanation:
take 1.35 and + by 0.45 = 1.80
take 1.80 and + by 0.45 = 2.25
take 2.25 and add 0.45 + 0.45 + 0.45 + 0.45 + 0.45= 4.5
A positive integer is 6 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is frac(5,9), then find the two integers.
The two integers are equal to 1 and 7 respectively.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Let x represent the smaller number. Then the given relationships say ...
1/x + 2/(x+6) = 9/7
Multiplying by 7x(x+6), we have ...
7(x+6) +14x = 9x(x+6)
9x² +54x = 21x +42 . . . . .eliminate parentheses, swap sides
9x² +33x = 42 . . . . . . . . ...subtract 21x
3x² +11 -14 = 0 . . . . . . . . . .subtract 42 and divide by 3
(3x +14)(x -1) = 0 . . . . . . . . factor
Values of x that make this true are x = 1 and x = -14/3. Then for the positive integer x=1, the other integer is x+6=7.
Therefore, the two integers are equal to 1 and 7 respectively.
To know more about an expression follow
https://brainly.com/question/4686531
#SPJ1
I'm in 7th grade can somebody just think of 2 goals that I can use that makes sense for math (long term goals)
Answer:
To study and get work done and to understand the material
Step-by-step explanation:
A recipe calls for 4 cups of flour and 6 cups of sugar. How many cups of sugar per cup of flour does the recipe require?
Answer:
3 cups of sugar per 2 cups of flour
Step-by-step explanation:
just flip and simplify the fraction
4/6 = 6/4 = 3/2
Does anyone have all the answers for the algebra 4 final exam on Edge?
An equation for a LINE that can be written in standard form, slope-intercept form, or point-slope form is Linear Equation.
Why is Linear Equation Important?Linear equations are useful in research and in many daily applications.
They let scientists to define physical relationships between two variables, make predictions, compute rates, and perform conversions, among other things.
Graphing linear equations aids in identifying trends.
Linear equations are particularly useful in mathematics because they may be used to simulate any real-world phenomenon in which one variable changes at a constant pace in relation to another variable.
As a result, they are extremely valuable for modeling, forecasting, and assessing real-world applications.
Learn more about Linear Equation at:
https://brainly.com/question/12974594
#SPJ1
Full Question:
Although part of your question is missing, you might be referring to this full question:
an equation for a LINE that can be written in standard form, slope-intercept form, or point-slope form is ________ ?
The cost of a pair of boots was $66. The sales tax rate is 5% of the purchase price.
Answer:
Wish I could help can't. Don't let anyone bring you down
Step-by-step explanation:
Answer: 5% of 66 is 3.3
Use the appropriate formula to find the value of the annuity.
Find the interest.
Periodic Deposit is $6000 at the end of each year
Rate 5% compounded annually
Time 10 years
a. The value of the annuity is $
b. The interest is $
The value of the annuity is approximately $79,243.59, and the Interest earned is $19,243.59.
The value of the annuity and the interest earned, we can use the formula for the future value of an ordinary annuity.
The formula for the future value of an ordinary annuity is:
V = P * [(1 + r)^n - 1] / r
Where:
V is the value of the annuity
P is the periodic deposit
r is the interest rate per period
n is the number of periods
In this case:
P = $6000 (periodic deposit)
r = 5% (interest rate per period, compounded annually)
n = 10 years (number of periods)
a. To find the value of the annuity:
V = $6000 * [(1 + 0.05)^10 - 1] / 0.05
V ≈ $79,243.59
Therefore, the value of the annuity is approximately $79,243.59.
b. To find the interest earned:
Interest = V - (P * n)
Interest = $79,243.59 - ($6000 * 10)
Interest = $79,243.59 - $60,000
Interest = $19,243.59
Therefore, the interest earned is $19,243.59.
In summary, the value of the annuity is approximately $79,243.59, and the interest earned is $19,243.59.
To know more about Interest .
https://brainly.com/question/25720319
#SPJ8
If 1/4 of a pound costs $3,
how much is 1 pound?
Answer:
$12
Step-by-step explanation:
Answer: $12
Step-by-step explanation: 3x4=12
Please help it’s due today!!!!
4. RSTU is a trapezoid because the opposite sides RS and UT are parallel.
5. RSTU is not an isosceles trapezoid because the diagonals are not congruent.
How to verify that RSTU is a trapezoid?In order to verify that RSTU is a trapezoid, we would have to determine slope of the pair of opposite sides and check whether at least one pair of opposite sides are parallel;
RU ║ ST
Slope of side RU = Slope of side ST
Slope of RU = (y₂ - y₁)/(x₂ - x₁)
Slope of RU = (1 + 3)/(5 + 3)
Slope of RU = 4/8
Slope of RU = 0.5.
Slope of RS = (y₂ - y₁)/(x₂ - x₁)
Slope of RS = (-9 + 3)/(-4 + 3)
Slope of RS = -6/-1
Slope of RS = 6.
Slope of ST = (y₂ - y₁)/(x₂ - x₁)
Slope of ST = (-2 - 1)/(10 - 5)
Slope of ST = -3/5
Slope of ST = -0.6.
Slope of UT = (y₂ - y₁)/(x₂ - x₁)
Slope of UT = (-2 + 9)/(10 + 4)
Slope of UT = 7/14
Slope of UT = 0.5.
Therefore, RSTU is a trapezoid because the opposite sides RS and UT are parallel.
Question 5.
In order to determine whether RSTU is an isosceles trapezoid, we would have to determine length of the diagonals by using the distance formula and check whether they are congruent;
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance RT = √[(-2 + 3)² + (10 + 3)²]
Distance RT = √170 units.
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Distance US = √[(5 + 4)² + (1 + 9)²]
Distance US = √181 units.
Therefore, RSTU is not an isosceles trapezoid because the diagonals RT and US are not congruent.
Read more on isosceles triangle here: brainly.com/question/19238666
#SPJ1
Julio can stock an aisle at the grocery store in 5 hours. Janet can stock the same aisle in 3 hours. How long will it take
them to stock the aisle if they work together?
Answer:
2
Step-by-step explanation:
5-3=2
Use
x
for your variable
The sum of a number increased by nine and the number decreased by two.
The answer is \((x+9)+(x-2)\) .
A variable is a symbol used to represent a number in an expression or equation. The value of this number is subject to change. An algebraic expression in mathematics is an expression that consists of variables and constants and algebraic operations (addition, subtraction, etc.). Expressions are made up of concepts.We have given two statements one is " number increased by nine "
Let the number be x .
Mathematically , first statement is represented by
x + 9
Second statement is " number decreased by two "
Mathematically , second statement is represented by
x - 2
According to the question
Sum of first and second statement = \((x+9)+(x-2)\)
Learn about more algebraic expression here :
https://brainly.com/question/4344214
#SPJ9