Answer:
r = 2 units
Step-by-step explanation:
Total area(T.A) of the circular cone is given by:
[tex]\text{T.A} =\pi r^2+ \pi r\sqrt{r^2+h^2}[/tex]
Lateral surface area(L.A) of the circular cone:
[tex]\text{L.A} = \pi r\sqrt{r^2+h^2}[/tex]
where
r is the radius and h is the height of the circular cone.
As per the statement:
[tex]T.A = 12 \pi[/tex] and [tex]L.A = 8 \pi[/tex]
then;
[tex]T.A -L.A = \pi r^2+ \pi r\sqrt{r^2+h^2}-\pi r\sqrt{r^2+h^2}[/tex]
⇒[tex]12 \pi -8 \pi = \pi r^2[/tex]
⇒[tex]4 \pi =\pi r^2[/tex]
Divide both sides by [tex]\pi[/tex] we have;
[tex]4 =r^2[/tex]
or
[tex]r^2 = 4[/tex]
⇒[tex]r= \pm\sqrt{4} =\pm 2[/tex]
r cannot be in negative
⇒[tex]r = 2[/tex] units
Therefore, radius of the circular cone is, r = 2 units
In geotown, there are 210 teenagers that own a tablet.This is at least 4/5 of all teenagers that live in geotown.What is the maximum number of teenagers who live in geotown?
Find the slope of a line through a pair of points (2,-3) and (8,4)
At the end of the first day, 7 weeds appear in your neighborhood park. each day, the number of weeds increases by four times. how many weeds will be in the park at the end of 14 days?
PLEASE SHOW WORK
Solve for the formula for the variable x
ax+5=by-10
can someone help am not sure how to do this -2x+3y=-10
2x+y=-14
HELP
How do you use the product of 123 times 47 to find the product of 123 times 0.47 explain the difference in the two products?
What is the length of line RS? Use the law of sines to find the answer.Round to the nearest tenth.
Answer:
Answer: The length of RS = 2.4 (nearest tenth)
The sum of two numbers is 55 and the difference is 1 . What are the numbers?
Bob likes to prepare personal pizzas. He begins with a circle of dough that is 12 inches in diameter. On top of the dough, he places slices of salami. All of the slices are round and have a 4-inch diameter. If Bob doesn't overlap the slices or allow any of the slices to extend beyond the edge of the pie, what is the maximum number of salami slices he can add?
The longest stem on elis geranium plant is 7.24 inches. write 7.24 in word form answer
Are these all correct?
Use the figure to answer the question that follows:
Which angles form a pair of corresponding angles?
A: Angles PRL and RSN
B: Angles PRL and QSN
C:Angles PRK and QRK
D:Angles PRK and QSN
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was \$43.25$43.25dollar sign, 43, point, 25. He had to pay a \$7$7dollar sign, 7 entrance fee and \$1.25$1.25dollar sign, 1, point, 25 for every minute he was on the trampoline. Write an equation to determine the number of minutes (t)(t)left parenthesis, t, right parenthesis that Raymond was on the trampoline.
Answer:
Answer:M=29
subtract 43.25 by 7 because it's a one time fee. But the 1.25 is for each minute so you subtract by 7 and you get 36.25. once you have 36.25 you divide it by 1.25. You should then get 29 mins.
−20 ≤ 59(F−32) ≤ −15
To solve the inequality −20 ≤ 59(F−32) ≤ −15, divide by 59 and then add 32 to isolate the variable F, resulting in the range 31.661°F to 31.746°F.
Inequality Solution
Let's solve the compound inequality −20 ≤ 59(F−32) ≤ −15 step by step.
First, we need to isolate the variable term by dividing all parts of the inequality by 59.Therefore, the Fahrenheit temperature F is in the range of approximately 31.661°F to 31.746°F.
Identify the vertex the axis of symmetry the maximum or minimum value and the range of each parabola
I am a number less than 100. Two of my factors are three and five. My digits are one apart. What number am I?
factors 3 & 5
3*5 = 15
15, 30, 45, 60, 75, 90 are all the possible choices
so the answer would be 45 since the numbers are only 1 apart
The dashed-line triangle is a dilation image of the solid-lined triangle.
A graph is shown with x and y axes that extend from negative 8 to positive 8 in increments of 2.
A triangle formed by solid black line segments is shown with vertices at negative 9 comma 4, negative 9 comma negative 8, and 7 comma negative 8.
A second smaller triangle formed by dashed line segments is shown with vertices at negative 5 comma 6, negative 5 comma 2, and 0 comma 2.
Is the dilation an enlargement or a reduction? What is the scale factor of the dilation? (1 point)
reduction; one-third
enlargement; one-third
reduction; 3
enlargement; 3
What is the median of the data (180,175,163,186,153,194,198,183,187,174,177,196,162,185,174,195,164,152,144,138,125,110)
put them in order from the smallest to the largest:
110, 125, 138 , 144, 152,153,162, 163,164, 174, 174, 175, 177,180,183,185, 186,187, 194,195, 196,198
find the 2 middle numbers, in this case 174 & 175
the median is the average of those 2 numbers:
(174 + 175 )/2 = 174.5
the median = 174.5
A vending machine has three different choices of drink: lemonade (L), cola (
c. and orange (O). Unfortunately, it has been filled at random and you cannot choose the drink you want. You are going to buy two drinks. This is a list of some of the combinations of drink that you could end up getting. CO, OL, LL, CL, CC, Which combination of drinks have you missed from the list?
A circle is centered on point B, Points A, C and D lie on its circumference. if ABC measures 46 degrees, what does ADC measures?
If ABC measures 46 degrees, then the central angle ADC measures 23 degrees.
Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC.
The reason why is because they both cut off the minor arc AC
Angle ABC is given to be 46 degrees,
The formula we use is shown below
What is the formula for the central angle?The central angle = 2*(inscribed angle)
The angle ABC = 2*(angle ADC)
46 = 2*(angle ADC)
46/2 = 2*(angle ADC)/2 ... divide both sides by 2
23 = angle ADC
angle ADC = 23 degrees.
Therefore, If ABC measures 46 degrees, then the central angle ADC measures 23 degrees.
To learn more about central angle visit:
https://brainly.com/question/19758686#SPJ3
If ab=37 and xy=1/37, what is the value of the product xxbxyxa
In this case, we are simply asked to find for the value of:
xbya or abxy
Since we know that given values of ab and xy, therefore abxy is:
abxy = 37 * (1 / 37)
abxy = 37 / 37
abxy = 1
1) Convert 3/5 to a decimal (show work)
2)Convert 3 8/10 to a decimal (show work)
3)Convert 5/9 to a decimal (show work)
Find four consecutive integers whose sum is 106
What is767,074 rounded to the nearest hundred thousand
Choose the list that shows these numbers in order from largest to smallest.
0.63, 0.58, 0.059, 0.06
A.) 0.63, 0.58, 0.06, 0.059
B.) 0.58, 0.63, 0.06, 0.059
C.) 0.06, 0.58, 0.059, 0.63
D.) 0.059, 0.06, 0.58, 0.63
The largest to smallest order of the numbers 0.63, 0.58, 0.059, and 0.06 is 0.63, 0.58, 0.06, 0.059. This corresponds to option A, which is accurate when comparing decimal place values.
Explanation:The question asks to arrange the given decimal numbers in order from largest to smallest. To do this, compare each decimal place value one by one from left to right. Starting with the first decimal place, select the largest digit to determine the largest number. Once the largest number is identified, move on to the next largest, and so on, until all numbers are ordered.
Comparing the whole numbers: 0.63, 0.58, 0.06, 0.059, we can see:
0.63 is the largest because it has the largest value in the tenths place (6), and the next number is 3.0.58 is the next largest because the tenths place is 5 and the hundredths place is 8, which is larger than the hundredths place of 0.59.0.06 is larger than 0.059 because when comparing numbers with the same digits leading up to the last place, the number with fewer decimal places is larger.Therefore, the correct order from largest to smallest is 0.63, 0.58, 0.06, 0.059. The correct answer is option A: 0.63, 0.58, 0.06, 0.059.
we have to solve for D
for the expoential function y= ab^x, which of the following value(s) would produce an expoential decay function?
a. 0<b<1
b. a<0
c. b>1
d.b<0
Answer:
its a but what would it be if it was a growth
Step-by-step explanation:
Rita's score is 13 more than 2 times milan score. if we let y represent milan's score, write an algebraic expression for rita's score.
Final answer:
Rita's score is expressed algebraically by the expression 2y + 13, where y represents Milan's score.
Explanation:
Rita's score can be expressed algebraically in terms of Milan's score. Given that y represents Milan's score, the problem statement tells us that Rita's score is 13 more than 2 times Milan's score. So, we can write Rita's score as 2y + 13. To translate this into an algebraic expression, we start with Milan's score y, multiply it by 2 to get '2 times Milan's score', and then add 13 to get '13 more than 2 times Milan's score', which results in our final expression, 2y + 13.
This expression shows us how to calculate Rita's score based on any given value for Milan's score.
Jan works from 30 to 40 hours per week during the summer. she earns $12.00 per hour. her friend rachel also has a job. rachel's pay for t hours is given by the function r(t) = 11t, where 20 ≤ t ≤ 30. find the domain and range of each function. compare their hourly wages and the amount they earn per week.
Jan's function has a domain of [30, 40] and a range of [$360, $480]. Rachel's function has a domain of [20, 30] and a range of [$220, $330]. Jan earns $12 per hour and can earn between $360 and $480 per week, while Rachel earns $11 per hour and can earn between $220 and $330 per week.
Explanation:The domain of Jan's function is the range of hours she works per week, which is between 30 and 40, denoted by [30, 40]. The range of Jan's function is the amount of money she earns per week, which is calculated by multiplying her hourly wage ($12) by the number of hours she works (30 to 40 hours). So, the range of Jan's function is [$360, $480].
Similarly, Rachel's function is given by r(t) = 11t, where t represents the number of hours she works per week. The domain of Rachel's function is the range of hours she works per week, which is between 20 and 30, denoted by [20, 30]. The range of Rachel's function is the amount of money she earns per week, calculated by multiplying her hourly wage ($11) by the number of hours she works (20 to 30 hours). So, the range of Rachel's function is [$220, $330].
Comparing their hourly wages, Jan earns $12 per hour while Rachel earns $11 per hour. Comparing the amount they earn per week, Jan can earn between $360 and $480 per week while Rachel can earn between $220 and $330 per week.
What The length of AC?