What is the volume of a cone with the height of 63mm and a slant of 65mm
Answers
The volume of a cone is 151925.76 mm³
Define volume of a coneThe amount of space a cone takes up is measured by its volume. It is defined as one-third of the product of the area of the circular base and the height of the cone. Mathematically, the formula for the volume of a cone is given by:
V = (1/3) ×π×r²× h
where V is the volume of the cone, π (pi) is a mathematical constant approximately equal to 3.14, r is the radius of the circular base of the cone, and h is the height of the cone.
We can use the Pythagorean theorem to find the radius of the circular base of the cone:
(radius)² = (slant height)² - (height)²
(radius)² = (65mm)² - (63mm)²
(radius)² =256
radius=16
volume of a cone is given by:
V = (1/3) × π × r²× h
V = 1/3×π×(16)²×(63)
V = 151925.76
the volume of a cone is 151925.76 mm³.
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Related Questions
As part of a charity drive, 50 fourth grade students each donated an equal number of dimes and 30 third grade students each donated the same number of nickels. Let d represent the number of dimes and n represent the number of nickels. Determine which of the expressions shows the total amount (in cents) donated by the 3rd and 4th grade students. A.) 10(50d)+5(30n)B.) 80cC.) 10d+5nD.) 50d+30n
Answers
Please help me with A. B. C. I will mark brainlist
Answers
3/4 ton = 1500 pounds
1 1/2 quarts = 3 pints
7) 3 scrunchies cost $3.75. How much would 8 scrunchies cost? Answer:?
Answers
the cost of 3 scrunchies is 3.75 $
the cost for 1 scrunchies is 3.75/3 = 1.25 $
the cost for 8 scrunchies will be = 1.25 x 8 = 10 $
thus, the answer is 10 $
Twice a number added to another number is 15 the sum of the two numbers is 11 find the numbers.
Answers
Answer:
the numbers are 4 and 7
Step-by-step explanation:
"twice a number added to another number is 15" --- 4(2) + 7 = 15
"the sum of the two numbers is 11" --- 4 + 7 = 11
just need 1, 3 , 5 please will give brainly
Answers
1. The volume of the pyramid is 320ft³
3. The volume of the pyramid is 2395.83cm³
5. The volume of the pyramid is 1200in³
What is volume of a rectangular pyramid?The volume of a rectangular pyramid can be calculated using the formula:
V = (1/3) * base area * height
Where:
V represents the volume of the pyramidThe base area refers to the area of the base of the pyramidThe height represents the vertical distance from the base to the apex (top) of the pyramid.1. The volume of the pyramid is calculated as;
V = 1/3 * 8 * 12 * 10 = 320ft³
3. The volume of the pyramid is;
V = 1/3 * (25 * 12.5) * 23 = 2395.83cm³
5. The volume of the pyramid is;
V = 1/3 * (15 * 15) * 16 = 1200in³
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Use order of operations to simplify the following algebraic expression.
3y - 2(y + 5) - 6 ÷ 2
A. 5y + 8
B. 5y + 7
C. y - 8
D. y - 13
Answers
Choose the equation that
matches the graph.
a.
y = (²) * -
b. y = 4x-1
X-4
c. y = (2)
d.
e,
y = 4* + 1
y = 4x+1
4
Enter
Answers
The cοrrect equatiοn that matches graph is c)y = \((\frac{1}{2})^{x-4}\) .
What is equatiοn?The definitiοn οf an equatiοn in algebra is a mathematical statement that demοnstrates the equality οf twο mathematical expressiοns. Fοr instance, the equatiοn 3x + 5 = 14 cοnsists οf the twο equatiοns 3x + 5 and 14, which are separated by the 'equal' sign.
Tο find cοrrect equatiοn , we need tο fin each equatiοns graph.
Here ,
=> y=\((\frac{1}{2})^{x-4}\)
Hence the correct equation that matches graph is c)y=\((\frac{1}{2})^{x-4}\) .
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In a right triangle, sin (x + 10)° = cos (4x - 4)°. Solve for x. Round your answer
to the nearest hundredth if necessary.
Answers
The value of variable x is,
⇒ x = 42
We have to given that;
In a right triangle,
⇒ sin (x + 10)° = cos (4x - 4)°
Now, We can simplify as;
⇒ sin (x + 10)° = cos (4x - 4)°
⇒ cos (90 - (x + 10))° = cos (x - 4)°
⇒ 90 - (x + 10) = x - 4
⇒ 90 - x - 10 = x - 4
⇒ 80 + 4 = 2x
⇒ 2x = 84
⇒ x = 42
Thus, The value of variable x is,
⇒ x = 42
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Cliff takes out a $5,000 personal loan with 7
fixed annual interest compounded monthly to pay for his wedding. He repays the loan in 2 year.s
How much total interest does Cliff pay on his loan?
Answers
Cliff pays a total interest of approximately $679.90 on his $5,000 loan.
To calculate the total interest paid on the loan, we need to use the formula for compound interest:
\(A = P(1 + r/n)^{(nt)}\)
Where:
A is the final amount (loan amount + interest)
P is the principal (loan amount)
r is the annual interest rate (in decimal form)
n is the number of times interest is compounded per year
t is the number of years
Given that Cliff takes out a $5,000 loan with a fixed annual interest rate of 7% compounded monthly, we can substitute the values into the formula:
P = $5,000
r = 7% = 0.07
n = 12 (monthly compounding)
t = 2 years
\(A = 5000(1 + 0.07/12)^{(12 \times 2)\)
Calculating this expression:
A ≈ 5000\((1.00583)^{(24)\)
A ≈ 5000(1.13598)
A ≈ 5679.90
The final amount (A) is the loan amount plus the total interest paid. Therefore, to find the total interest paid, we subtract the principal (P) from the final amount (A):
Total Interest = A - P
Total Interest = 5679.90 - 5000
Total Interest ≈ $679.90
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Use the vertical line test to determine if the graph is a function or not a function. On a coordinate plane, a graph decreases to a minimum point, and then increases. On a coordinate plane, a graph increases to a maximum, decreases to a minimum, increases to the maximum, and decreases again to the minimum. On a coordinate plane, a graph decreases to the right, then decreases to the left, then decreases to the right.
Answers
Answer:
bro could u help me with mine ill try to help u
function,function, not a function
Calculate the Social Security and Medicare tax that would be applied to an annual salary of $235,430. Use $106,800 for
maximum taxable earnings.
a. Social Security tax: $1,459.67, Medicare tax: $341.37
b. Social Security tax: $14,596.66, Medicare tax: $3,413.70
c. Social Security tax: $662.16, Medicare tax: $341.37
d. Social Security tax: $6,621.60, Medicare tax: $3,413.70
Answers
Answer:
D Social Security tax: $6,621.60, Medicare tax: $3,413.70
Step-by-step explanation:
Following are the calculation to the Social Security and Medicare tax value:
This Social Security tax is a percent to which both workers and employers must pay \(6.2\%\) of employee wages, for a total of \(12.4\%\).The state pension, which would be applied to a \(\$235,430\) annual wage with a maximum tax liability:\(\to \$106,800\ is\ 12.4\%\ of\ \$106,800 = 0.124 \times \$106,800 = \$13,243.20\)
Its payroll tax for Medicare is \(2.9\%\).This only applies to earned income, which includes salaries and tips from an employer. We are liable for \(1.45\%\) of a tax, which would be immediately withheld from your paycheck. The other \(1.45\%\) is paid by your company. This Medicare tax would be charged to a \(\$235,430\) annual salary with a maximum taxable income:\(\to \$106,800\ is\ 2.9\%\ of\ \$106,800 = 0.029 \times \$106,800 = \$3,097.20\)
Therefore, the final answer is "$13,243.20 and $3,097.20".
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Choose the ratio in simplest form. 8:2
Answers
Answer:
4:1
Step-by-step explanation:
Calc II Question
Sketch the region enclosed by the given curves and find its area.
Y = lxl , y = x^2 - 2
Answers
Answer:
\(\displaystyle A=\frac{20}{3}\)
Step-by-step explanation:
\(\displaystyle A=\int^2_{-2}(|x|-(x^2-2))\,dx\\\\A=2\int^2_0(x-(x^2-2))\,dx\\\\A=2\int^2_0(-x^2+x+2)\,dx\\\\A=2\biggr(-\frac{x^3}{3}+\frac{x^2}{2}+2x\biggr)\biggr|^2_0\\\\A=2\biggr(-\frac{2^3}{3}+\frac{2^2}{2}+2(2)\biggr)\\\\A=2\biggr(-\frac{8}{3}+2+4\biggr)\\\\A=2\biggr(-\frac{8}{3}+6\biggr)\\\\A=2\biggr(\frac{10}{3}\biggr)\\\\A=\frac{20}{3}\)
Bounds depend on whether you use -x or +x instead of |x|, but you double regardless. See the attached graph for a visual.
6. In the triangle ABC, AB = 7 cm, BC = 8 cm and ABC = 90°. Point P lies inside the triangle such that BP = PC = 5 cm. Find:
a) the perpendicular distance from P to BC
b) the length AP.
GUYS HELP!
Answers
Answer:
Step-by-step explanation:
All of the following are assumptions of the error terms in the simple linear regression model except:
errors are normally distributed.
error terms have a mean of zero.
error terms are dependent on each other.
error terms have a constant variance.
Answers
All of the following are assumptions of the error terms in the simple linear regression model except C. error terms are dependent on each other.
What is regression?A variable's value can be predicted using linear regression analysis based on the value of another variable. The dependent variable is the one you want to be able to predict. The independent variable is the variable you are using to forecast the value of the other variable.
When modeling the relationship between a scalar response and one or more explanatory variables, linear regression is a linear approach. Simple linear regression is used when there is only one explanatory variable, and multiple linear regression is used when there are multiple variables.
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10 points
question 5: a, b, and c.
Answers
Answer:
the First One By Adding Four
The Second One Add Five And Two
The Third Add Two And Substract Four
The perimeter of a playing card is 32 centimeters. It is 10 centimeters tall. How wide is it?
Answers
Answer:
Step-by-step explanation:
Its is
6CM wide. as to find the area we have to times the length x height :)
Answer:
wide = 6 cm
Step-by-step explanation:
\(t=tall=10\)
\(w=wide=?\)
\(P=perimeter=32\)
The equation:
\(P=2t+2w\)
\(32=2(10)+2w\\32=20+2w\)
\(32-20=2w\\12=2w\)
\(\frac{12}{2} =w\)
\(6=w\)
Hope this helps.
3.0 plzzzzzz help thank you
Answers
Answer:
80%
Step-by-step explanation:
100/5*4
wwe.iw What is the square root of -1? Oi O1 O1
Answers
Answer:
i (imaginary number)
Step-by-step explanation:
\( \sqrt{ - 1} = i(imaginary \: number)\)
.Let's say you solve an equation like 3x + 5 = x + 7 and your solution is x = 1. How could you check to make sure your answer is correct?
Answers
Answer:
plug in whatever you found for x and see if its equal on both sides.
Step-by-step explanation:
Answer:
To check an answer for an equation, you can substitute the answer you've found in place of the variable you solved it for.
The value of the unknown, x, can be plugged into the equation. You can then compare both sides to see if they are equal.
For your given equation, let's substitute 1 for x in the equation you've given.
3x + 5 = x + 7
3(1) + 5 = 1 +7
Simplify this.
3 + 5 = 8
8 = 8
You know that 8 does equal 8, so your value for x is correct.
I hope this helps you ^^
Good luck :)
Find an equation of the circle that has center (6.-3) and passes through (1, 1).
Answers
Answer:
\((x-6)^{2} + (y+3)^{2} =41\)
Step-by-step explanation:
Equation of circle is
\((x-a)^{2} + (y-b)^{2} =r^{2}\)
Where (a, b) is center of circle and r is radius
Here (a, b) = (6, -3) and radius can be determined by calculating the distance from center to point (1, 1)
\(r=\sqrt{(6-1)^2 +(-3-1)^2} \\r= \sqrt{25+16}\\r= \sqrt{41}\)
Substituting values in equation of circle
\((x-6)^{2} + (y+3)^{2} =41\)
$100,000 is shared among three friends, Anna, Louise and Lacey in the ratio.7: 10:13 respectively. Calculate the amount each receives.
Answers
Answer:
Step-by-step explanation:
Set up an equation:
7x + 10x + 13x = 100000 and solve for x:
30x = 100000 so
x = 3333.33
Anna gets 7(3333.33) = 23333.31
Louise gets 10(3333.33) = 33333.33
Lacey gets 13(3333.33) = 43333.29
What makes a zero? Using zero to simplify algebraic expressions
Answers
It should be noted that an algebraic expression will be equal to zero when the difference is between the same expressions.
How to illustrate the information?It should be noted that an algebraic expression simply means the expression that's used to show the relationship between the variables
In this case, the should be noted that an algebraic expression will be equal to zero when the difference is between the same expressions.
An example is illustrated as:
= 2x - 2x
= 0
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In a bag of beads, the ratio of the number of orange to blue to white is 13:7:4. If the number of orange beads minus the number of white beads is 54, how many blue beads are there?
HELPPP MARKING AS BRANLIEST IF U ANSWER THIS
Answers
Answer:
42 blue beads
Step-by-step explanation:
Solution:
Let's suppose the numbers as 13x, 7x and 4x respectively..
Where,
Orange = 13x
Blue = 7x
White = 4x
According to the question,
13x - 4x = 54
or, 9x = 54
or, x = 54/9
or, x= 6
Now,
Blue beads = 7x
= 7 × 6
= 42..
QuestionA cube is 4.6 yards on each side. Find its a. volume and b. surface area. Do not round the answer.
Answers
the volume is
\(V=a^3\)where a is the measure of the side
so replacing
\(\begin{gathered} V=(4.6)^3 \\ V=97.336 \end{gathered}\)the volume is 97.336cubic yards
The surface area is
\(S=6a^2\)
so replacing
\(\begin{gathered} S=6\times(4.6)^2 \\ S=126.96 \end{gathered}\)the surface area is 126.96 square yards
given the function f(x)=logbase2(X), find the y-intercept of g(x) = f(x+4)+8
Answers
The y-intercept of f(x + 4) + 8 is given as follows:
10.
What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The four translation rules for functions are defined as follows:
Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.The parent function for this problem is given as follows:
\(f(x) = \log_2{x}\)
The translated function is then given as follows:
\(g(x) = \log_2{x + 4} + 8\)
The y-intercept of the function is the numeric value at x = 0, hence:
\(g(0) = \log_2{0 + 4} + 8\)
g(0) = 2 + 8 = 10.
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the difference between half a number and 19
Answers
This is the equation I came up with but I can't make it work.
x-y=19
1/2x+2y=12 x2 --> x + 4y = 24
----------
x - y = 19
x +4y = 24
------------ Subtract
-5y = -5
y = 1
x = 20
Please help asap show that √x²+x³ = |x| √1+x
Answers
√(x² + x³) = √(x² (1 + x)) … … … factor out x²
= √(x²) • √(1 + x) … … … distribute the square root over the product
= |x| √(1 + x) … … … since √(x²) = |x|
Graph makes no sense to me
Answers
Answer:
(a) 0
(b) 0
(c) 1
The function is not continous at x = 9
Step-by-step explanation:
To the left and right of the point x = 9, the graph would seem to continue at f(x) = 0, however on the exact point x = 9 there is a hole in the graph allowing it to be equal to 1. Due to the hole in the graph, it is not continuous
Apologies if this is wrong its been a bit since I did calculus
b) In a certain weight lifting machine, a weight of 1 kN is lifted by an effort of 25 N. While the weight moves up by 100 mm, the point of application of effort moves by 8 m. Find mechanical advantage, velocity ratio and efficiency of the machine
Answers
The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.
The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.
The problem has provided the following information:
Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m
We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage
The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;
Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;
Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5
Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.
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