Based on the calculations, the radius of this right cone is equal to 6 units.
Given the following data:
Volume of cone = [tex]252\pi \;units^3[/tex]Height of cone = 21 units.How to calculate the volume of a cone.Mathematically, the volume of a cone is given by this formula:
[tex]V = \frac{1}{3} \pi r^2h[/tex]
Where:
h is the height.r is the radius.Making r the subject of formula, we have:
[tex]r=\sqrt{\frac{3V}{\pi h} } \\\\[/tex]
Substituting the given parameters into the formula, we have;
[tex]r=\sqrt{\frac{3\times 252\pi}{\pi \times 21} } \\\\r=\sqrt{\frac{756}{21} }\\\\r=\sqrt{36}[/tex]
r = 6 units.
Read more on radius here: brainly.com/question/21367171
The second term of a geometric progression is -576 and the fifth term is 243. Find:
a) the common ratio
b) the first term
c) the sum to infinity.
What is the distance
between (-6, -2) and (2, 4)?
Answer:
10
Step-by-step explanation:
distance = √(-6-2)^2+(-2-4)^2
Ans=10
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
[tex] \rule{60mm}{2.2pt}[/tex]
[tex] \large \purple{ \rm{Given ↦}} \\ [/tex]
A ( -6 , -2 ) ↦ ( x1 , y1 )B ( 2 , 4 ) ↦ ( x2 , y2 )
[tex] \rule{60mm}{2.2pt}[/tex]
[tex] \large \purple{ \rm{By \: DISTANCE \: FORMULA ↦}} \\ \\ \rm{AB =\sqrt{( x2-x1)^{2} +(y2-y1) ^{2} }}[/tex]
[tex] \rule{60mm}{2.2pt}[/tex]
Substituting values ↦
[tex] \bold {AB= \sqrt{( - 6 - 2 )^{2} + ( - 2 - 4) ^{2}} } \\ \\ \bold {AB= \sqrt{( - 8) ^{2} + ( - 6) ^{2} }} \\ \\ \bold {AB= \sqrt {(64) + (36)} } \\ \\ \bold {AB= \sqrt{(100)}} \\ \\ \bold {AB= 10 \: units.}[/tex]
[tex]\purple{\rule{15mm}{2.9pt}} \red{\rule18mm{2.5pt}} \orange{ \rule18mm{2.5pt}}[/tex]
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
how do I do it? I didn't understand the math.
Answer:
please try do the rest by yourself..Of you didn't get the answer you can ask me through comment..
please help
The radius of the base of a right circular cone is 5 times greater than the radius of a second right circular cone. If the heights of both cones are the same, what is the volume of the larger cone divided by the volume of the smaller cone?
A. 5
B. 10
C. 15
D. 25
Answer: its A or B I think its more of B than A
f(x)=x-5 is the function linear quadratic exponential or neither
Answer:
Linear
Step-by-step explanation:
It is a first-degree function, the variable "x" has power 1
when graphed, a straight line results in
Hope this helps
What is the value of x? 1/6 (3 - 2x) < 1/3 x
Step-by-step explanation:
1/6 (3 - 2x) < 1/3 x
let's multiply everything by 6
3 - 2x < 6/3 x
3 - 2x < 2x
3 < 4x
3/4 < x
so, x > 3/4
since 3/4 is never equal to x but is purely smaller than x, the interval of valid x values starts right after 3/4 and goes to infinity.
x = 3/4 is not valid, because 3/4 is not smaller than 3/4 (it is equal to) ...
There are two boys and a girl on a trivia team. Two questions remain. One team member is randomly picked to answer the first question and a different member is picked to answer the second question.
Answer:
There are two boys and a girl on a trivia team. Two questions remain. One team member is randomly picked to answer the first question and a different member is picked to answer the second question.
Step-by-step explanation:
After hearing about her employer’s health FSA, Yin has decided to enroll in an account. While trying to plan the amount of money to put into her FSA, Yin has made a list of items that she’d like to purchase during the plan year with FSA funds. Using the FSA Eligibility List, select all of the expenses on Yin’s list that she can pay for through money in her FSA.
hypoallergenic earrings
prescription sunglasses
makeup
medical equipment
prescription medications
shampoo
soap
sunscreen
Answer:
Prescription sunglasses
Medical equipment
Prescription medications
Sunscreen
Step-by-step explanation:
Trust me I just did this assignment
If a coat was marked down 20% and the sale price is $55.60, what is the original price?
Answer:
$69.50
Step-by-step explanation:
As it was marked down 20%, this means the sale price would be 100-20=80%.
When 80% ---- cost $55.60
Therefore when 100% ---- cost = $55.60 * 100/80
So when we solve this, we get the final ans $69.50
[tex] \rm \int_{0}^ \infty \frac{ \sqrt[ \scriptsize\phi]{x} \tan^{- 1} (x)}{(1 + {x}^{ \phi} {)}^{2} } {}^{} {} \: dx\\ [/tex]
With ϕ ≈ 1.61803 the golden ratio, we have 1/ϕ = ϕ - 1, so that
[tex]I = \displaystyle \int_0^\infty \frac{\sqrt[\phi]{x} \tan^{-1}(x)}{(1+x^\phi)^2} \, dx = \int_0^\infty \frac{x^{\phi-1} \tan^{-1}(x)}{x (1+x^\phi)^2} \, dx[/tex]
Replace [tex]x \to x^{\frac1\phi} = x^{\phi-1}[/tex] :
[tex]I = \displaystyle \frac1\phi \int_0^\infty \frac{\tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx[/tex]
Split the integral at x = 1. For the integral over [1, ∞), substitute [tex]x \to \frac1x[/tex] :
[tex]\displaystyle \int_1^\infty \frac{\tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx = \int_0^1 \frac{\tan^{-1}(x^{1-\phi})}{\left(1+\frac1x\right)^2} \frac{dx}{x^2} = \int_0^1 \frac{\pi2 - \tan^{-1}(x^{\phi-1})}{(1+x)^2} \, dx[/tex]
The integrals involving tan⁻¹ disappear, and we're left with
[tex]I = \displaystyle \frac\pi{2\phi} \int_0^1 \frac{dx}{(1+x)^2} = \boxed{\frac\pi{4\phi}}[/tex]
Given that a= 6 cm and b = 5 cm, work out the area of the triangle.
Answer:
15cm²
Step-by-step explanation:
Area of a triangle: 1/2*b*h
a = height (6cm)
b = base (5cm)
A = 1/2* b * h
A = 1/2 * 5 * 6
A = 1/2 * 30
A = 15cm² <== final answer
Hope this helps!
A study population includes 320 freshmen 300 sophomoras, 500 juniors, and 510 seniors,
Which sample best represents the population
O 18 freshmen, 18 sophomores, 30 juniors, 30 seniors
O 18 freshmen, 18 sophomores, 18 juniors, 18 seniors
O 18 freshmen 30 sophomores, 18 juniors, 30 seniors
30 freshmen, 30 sophomores, 18 juniors 18 seniors
Answer:
18 freshmen, 18 sophomores, 30 juniors, 30 seniors
Step-by-step explanation:
Given ratio
freshman : sophomores : juniors : seniors
= 320 : 300 : 500 : 510
320 ≈ 300 and 500 ≈ 510
Therefore, 300 : 300 : 500 : 500
Ratio of 300 : 500 = 18 : 30
So 18 : 18 : 30 : 30 best represents the population
Given nos
320300500510Ratio:-
320:300:500:510Round out
300:300:500:50018:18:30:30Option A
Simplify cos^4x+2cos^2xsin^2x+sin^4x
Answer: 1
Step-by-step explanation:
write balanced chemical equation for the process of photosynthesis giving the physical state of all the substances involved in the conditions of the reaction
Answer:
The process of photosynthesis is commonly written as: 6CO2 + 6H2O → C6H12O6 + 6O2.
Step-by-step explanation:
Marketing analysis determined 55% of females between the ages of 25 to 34 years old search for green technology and practice being green, as compared to 33% of men in the same age group. What is the probability that a randomly selected man between the age of 25 and 34 does not search for green technology
According to the given percentages, it is found that there is a 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
We have that 33% of men search for green technology, hence, there is a 100 - 33 = 67% probability that a randomly selected man between the age of 25 and 34 does not search for green technology.
More can be learned about probabilities at https://brainly.com/question/14398287
A store gives away gift bags during a sale. Of these gift bags, 50% are green, 20% are yellow, and 30% are blue. The average number of items in each green bag is 8. The average number of items in each yellow bag is 5. The average number of items in each blue bag is 8. What is the average number of items in all the gift bags? Enter your answer as a decimal in the box.
Which expression is equivalent to the following complex fraction?
Answer:
Option B
Step-by-step explanation:
Numerator:
[tex]\dfrac{3}{x -1 }-4 =\dfrac{3}{x-1}-\dfrac{4*(x-1)}{x-1}\\\\[/tex]
[tex]=\dfrac{3- 4x -4*(-1)}{x-1}=\dfrac{3-4x+4}{x-1}\\\\\\=\dfrac{-4x+7}{x-1} \: \textbf{ [Combine like terms]}[/tex]
Denominator:
[tex]2-\dfrac{2}{x-1}=\dfrac{2*(x-1)}{x-1}-\dfrac{2}{x-1}\\[/tex]
[tex]= \bf \dfrac{2x-2-2}{x-1}\\\\\\= \dfrac{2x-4}{x-1}\\\\= \dfrac{2*(x- 2)}{x-1}[/tex]
[tex]\dfrac{\dfrac{3}{x-1}-4}{2-\dfrac{2}{x-1}}=\dfrac{\dfrac{-4x+7}{x-1}}{\dfrac{2*(x-2)}{x-1}}[/tex]
[tex]\bf = \dfrac{-4x+7}{x-1}*\dfrac{x-1}{2(x-2)} \ \ \ \textbf{ [(x-1) in the numerator and denominator will be cancelled]}\\\\\\=\dfrac{-4x+7}{2(x-2)}[/tex]
A population P is initially 3000. Find an exponential model (growth or decay) for the population after t years if the population P decreases by 0.36 every 7 years. (Round your terms to three decimal places.)
The population model is an exponential decay because it decreases
The exponential model of the population is P = 3000(0.64^1/7)^t
How to determine the function?The population decreases by 0.36 every 7 years.
This means that the function is an exponential decay.
An exponential decay function is represented as:
P = a((1 - r)^1/n)^t
Where:
a represents the initial value (3000)r represents the rate (0.36)n represents the number of years the population decreases (7)P and t are the variablesSo, we have:
P = 3000((1 - 0.36)^1/7)^t
Evaluate the difference
P = 3000(0.64^1/7)^t
Hence, the exponential model of the population is P = 3000(0.64^1/7)^t
Read more about exponential functions at:
https://brainly.com/question/11464095
Help help help math math
Answer:
(-16, -4)
Step-by-step explanation:
4x - 13y = -12
x = 2y - 8
Substitute for x:
4(2y - 8) - 13y = -12
8y - 32 - 13y = -12
-5y - 32 = -12
-5y = 20
y = -4
Solve for x:
4x - 13(-4) = -12
4x + 52 = -12
4x = -64
x = -16
Solution to this system: (-16, -4)
I hope this helps!
Answer:
there are two methods
1. graphical method
2. elimination method
3. substitution method
Please help me the grading period ends in an hour
What is the equation of the axis of symmetry?
prism x is showen below. the volume of prism y is 10 cubic cm greater than the volume of prism x. what is the volume of prism y.
Answer:
it’s 3 x 2x 5 = 30
Then use that product and times it by 10. ( 10 x 30 )
Ans = 300 cubic centimeters
Step-by-step explanation:
3 x 5 x 2 = 30
30 x 10 = 300
Ans = 300 cubic centimeters
The Adventure Zone amusement park asked all of their employees who attend college how many hours of
homework they had per week and determined that they had an average of 24 hours of homework per
week.
Based on this data, which of the following conclusions are valid?
Choose 1 answer:
24% of all of the amusement park employees who attend school have homework each week.
24% of all of the amusement park employees who attend college have homework each week.
The amusement park employees who attend college have an average of 24 hours of
homework per week, but we cannot conclude anything about the percent of the population
who have homework.
The amusement park employees who attend college have an average of 24 hours of homework per week, but we cannot conclude anything about the percent of the population who have homework.
What is the valid conclusion?The survey was to determine the average number of hours per week for employees that attended college. The result was that college students had an average of 24 hours of homework per week.
To learn more about surveys, please check: https://brainly.com/question/18521835
Answer:
the last
answer
Step-by-step explanation:
(11x-5) degrees + (6x+5) degrees
Answer:
Answer: x = 10 degrees.
Step-by-step explanation:
Please help solve this SAT math problem. I have 4 more like these so need help with this so that I can solve the rest by myself. Thank you.
The notation just means
(f/g)(-4) = f(-4) / g(-4)
If f(x) = x² + 2 and g(x) = 1 - 3x, then
f(-4) = (-4)² + 2 = 16 + 2 = 18
g(-4) = 1 - 3 (-4) = 1 + 12 = 13
and so
(f/g)(-4) = 18/13
A suit is on sale for 72% off. The sale price is $263.20.
What is the regular price?
Answer:
940
Step-by-step explanation:
To find the original price of something that been discount do the following:
Subtract the discount from 100 to get the percentage of the original price.Multiply the final price by 100.Divide by the percentage in Step One.Or we can do the following:
We shall consider the original price as x; hence the discount can be considered as (x−263.20). We can write the equation:
x · 72/100=x - 263.20
x · 18/25 = x - 263.20
Multiply both sides by 25
18x = 25(x - 263.20)
Open the brackets.
18x = 25x-6580
Add 6580 to each side.
6580 +18x = 25x
Subtract 18x from each side.
6580 = 7x
Subtract 7x from each side.
x = 940
Check Answer:
940 * 72% = 676.80
940 - 676.80=263.20
Hence, the regular price is 940.
~lenvy~
Step-by-step explanation:
The sale price ( The marked price ) :- $263.20
Discount :- 72%
Discount :- marked 100 ,Discount 72 ,Seliing ( Regular ) 28
Regular price :- 263.20 × 28 / 100
$ 73.69
Justin's company makes solid balls out of scrap metal for various industrial uses. For one project, he must make lead balls that have a radius of 7.5in . If lead costs $0.36 per in3 , how much will the lead cost to make one ball?
Answer:
$636.17
Step-by-step explanation:
First, we need to find the volume of the ball. Then, we will solve for the cost of it.
Volume of a sphere and solving for the area:
V = [tex]\frac{4}{3}[/tex]πr³
V = [tex]\frac{4}{3}[/tex]π(7.5)³
V ≈ 1767.15 in³
Now that we have the volume, next we need to find the cost. Since the lead costs $0.36 per in³, and our volume is in in³, we can multiply the volume by the cost.
1767.15 in³ * $0.36 = 636.174
Money rounds to the hundredth place,
636.174 -> $636.17
It will cost $636.17 to make one ball.
Answer:
Volume of a sphere = 4/3 Pi r³
if r = 7.5
= 4/3 pi 7.5³
= 4/3 pi 421.87
= 1687.5/3 pi
= 562.5 Pi
= 1767.15 in³
then
1767.15 x 0.36 = 636.17
if 1 in³ costs 0.36$
then 1767.15 in³ costs 636.17$
A quadrilateral has angles
measuring 105°, 80°, and 80°.
What is the measure of the fourth
angle?
Answer:
95 degrees
Step-by-step explanation:
The sum of the measures of a quadrilateral is 360 degrees. 360-105-80-80 = 95 degrees
evaluate the expression 2b^3+5 (BTW I did the first part it's 3 but I need the second part)
To find the exact answer based on the last step, "[tex]2(3)^3+5[/tex]", you must use PEMDAS (attached image below)
[tex]2(3)^3+5=2*27+5=54+5=59[/tex]
Thus the answer is 59.
Hope that helps!
Answer:
2b³ + 5 = 59
Step-by-step explanation:
Given information,
→ 2b³ + 5
→ b = 3
Let's solve the expression,
→ 2b³ + 5
→ 2(3)³ + 5
→ 2(27) + 5
→ 54 + 5 = 59
Hence, the answer is 59.
Adrianna has $20 in her savings account. Each week she will add $5 to it. Which equation represents this situation?
Answer:
Let y = the amount in Adrianna's savings account
Let x = the number of weeks passed
y = 5x + 20