Answer:
1. S.A of a cone = 565.56 cm².
2. S.A of a cone = 276.496 cm².
3. S.A of a sphere = 128.696 cm².
4. S.A of a sphere = 113.112 cm².
Step-by-step explanation:
Given the following data;
1. Radius, r = 15cm
Slant height, l = 12cm
Mathematically, the surface area of a cone is given by the formula;
Surface area of a cone = πrl
Substituting into the formula, we have;
S.A of a cone = 3.142 * 15 * 12
S.A of a cone = 3.142 * 180
S.A of a cone = 565.56 cm²
2. Radius, r = 8cm
Slant height, l = 11cm
Surface area of a cone = πrl
S.A of a cone = 3.142 * 8 * 11
S.A of a cone = 3.142 * 88
S.A of a cone = 276.496 cm²
3. Radius, r = 3.2 cm
Mathematically, the surface area of a sphere is given by the formula;
Surface area of a sphere = 4πr²
Substituting into the formula, we have;
S.A of a sphere = 4 * 3.142 * 3.2²
S.A of a sphere = 4 * 3.142 * 10.24
S.A of a sphere = 40.96 * 3.142
S.A of a sphere = 128.696 cm²
4. Diameter, d = 6cm
Radius, r = diameter/2 = 6/2 = 3 cm
Surface area of a sphere = 4πr²
S.A of a sphere = 4 * 3.142 * 3²
S.A of a sphere = 4 * 3.142 * 9
S.A of a sphere = 36 * 3.142
S.A of a sphere = 113.112 cm²
Need help, will give brainliest
Answer:
I believe it would be at 79
Step-by-step explanation:
Plz help plz ASAP plz help
Answer:
10.4 meters
Step-by-step explanation:
3² + 10² = c²
9 + 100 = c²
c² = 109
c = √109 ≈ 10.4
If $2940 is invested at 3.2% compounded quarterly, how much is in the account after 8 years?
Answer:
The future value is $3793.776
Step-by-step explanation:
Given
[tex]PV = 2940[/tex] --- present value
[tex]r = 3.2\%[/tex] --- rate
[tex]t = 8[/tex] --- time
[tex]n = 4[/tex] --- quarterly
Required
Determine the future value
This is calculated using:
[tex]FV = PV(1 + \frac{r}{n})^{nt[/tex]
So, we have:
[tex]FV =2940 * (1 + \frac{3.2\%}{4})^{4*8[/tex]
[tex]FV =2940 * (1 + \frac{3.2}{400})^{32[/tex]
[tex]FV =2940 * (1 + 0.008)^{32[/tex]
[tex]FV =2940 * (1.008)^{32[/tex]
[tex]FV =2940 * 1.2904[/tex]
[tex]FV =3793.776[/tex]
The perimeter of the polygon above is
Answer:
80 cm
Step-by-step explanation:
5 points in a star, each point has a perimeter of 16,
16 x 5 = 80
or just legit add all the 8's
DONT FORGET TO INCLUDE THE UNITS
Rewrite the function f(x)=2(x-2)^2+6 in the form f(x)=ax^2+bx+c.
Answer:
To write a polynomial in standard form, simplify and then arrange the terms in descending order.
f(x)=ax²+bx+c
Simplify each term.
f(x)=2x²−8x+8+6
Add 8 and 6.
f(x)=2x²−8x+14
Step-by-step explanation:
Find the length of arc AB.
Answer:
11.17
Step-by-step explanation:
arc length = 2πr(θ/360)
= 2π(8)(80/360)
= 11.1701072...
= 11.17 to nearest hundredth
Explain how you would solve −4 + 4 + 5. Please help me lol.
Answer:
5
Step-by-step explanation:
=> -4+9
=> 5
Cuz first u have to do 4 plus 5, which'll be 9. And then, since -4 is negative, we have to subtract 9 from 4. So the answer's 5.
Make me brainliest :))))
write down the coordinates of a point which lies in the second quadrant and 6 units far from both the axes
Answer:
(-6, 6)
Step-by-step explanation:
35 POINTS!!!!! Find the value of x in the triangle shown below.
Answer:
A. x=6
Step-by-step explanation:
x=√10²-8²=√100-64=√36=6
Given that the measure of Angle CDB = 31 degrees find the indicated
measures for angle 1 and 2.
Answer:
angle 1=149°
angle 2=31°( because they are alternating angles)
Aaron was offered a job that paid a salary of \$57,000$57,000 in its first year. The salary was set to increase by 1% per year every year. If Aaron worked at the job for 29 years, what was the total amount of money earned over the 29 years, to the nearest whole number?
Answer:
The total amount received is: $1906650
Step-by-step explanation:
Given
[tex]a = \$57000[/tex] --- initial
[tex]b = 1\%[/tex] --- rate
[tex]n = 29[/tex] --- time
Required
Determine the total amount at the end of 29 years
The given question is an illustration of geometric progression, and we are to solve for the sum of the first n terms
Where [tex]n = 29[/tex]
[tex]r = 1 + b[/tex]
[tex]r = 1 + 1\%[/tex]
Express percentage as decimal
[tex]r = 1 + 0.01[/tex]
[tex]r = 1.01[/tex]
The required is the calculated using:
[tex]S_n = \frac{a(r^n - 1)}{r - 1}[/tex]
So, we have:
[tex]S_n = \frac{57000 * (1.01^{29} - 1)}{1.01 - 1}[/tex]
[tex]S_n = \frac{57000 * (1.3345- 1)}{0.01}[/tex]
[tex]S_n = \frac{57000 * 0.3345}{0.01}[/tex]
[tex]S_n = \frac{19066.5}{0.01}[/tex]
[tex]S_n = 1906650[/tex]
The total amount received is: $1906650
Somebody Please help!!!
Answer:
176
Step-by-step explanation:
8+8+64+64+16+16
Grumpy Corp drug tests all of the recent college graduates it hires each year. The drug test currently used correctly determines drug users 96% of the time(a Positive test) and correctly determines non-users 90% of the time(a Negative test). A recent study concluded that 36% of college students use drugs. A potential employee has been tested and the result was Negative for drug use.
Required:
a. Construct ALL necessary probabilities using proper notation(Example: P(D) for a "drug user").
b. Find the Probability of a Negative test, by showing use of the above Probabilities first, and then followed by the proper calculation.
Answer:
Hence, the probability of a Negative test is [tex]P(T^C)=0.5904[/tex].
Step-by-step explanation:
(a)
Let [tex]D=[/tex] Drug user and [tex]T=[/tex] Test positive
Probability of drug users [tex]P(D)=36\%=0.36[/tex]
[tex]P(\frac{T}{D})=96\%=0.96[/tex]
[tex]P(\frac{T^c}{D^c})=90\%=0.90[/tex]
(b)
Find the Probability of a Negative test,
[tex]P(T^C)=P(\frac{T^C}{D^C})\cdot P(D^C)+P(\frac{T^C}{D})\cdot P(D)[/tex]
[tex]\Rightarrow P(T^C)=0.9\cdot(1-0.36)+(1-0.96)\cdot 0.36[/tex]
[tex]\Rightarrow P(T^C)=0.9\cdot 0.64+0.04\cdot 0.36[/tex]
[tex]\Rightarrow P(T^C)=0.576+0.0144[/tex]
[tex]\Rightarrow P(T^C)=0.5904[/tex]
Khan Academy Question :)
9514 1404 393
Answer:
40 units
Step-by-step explanation:
The slanted side is the hypotenuse of a triangle that is 8 units high and 6 units wide. Its length can be found from the Pythagorean theorem:
d² = 6² + 8² = 100
d = √100 = 10
The perimeter is the sum of side lengths. Those lengths can be found by counting grid squares. Clockwise from the upper left corner, the sum of side lengths is ...
P = 8 + 10 + 14 + 8
P = 40 . . . units
Describe the function between x = -4 and x = -1
A) linear and increasing
B) Non linear and decreasing
C) linear and decreasing
D) Non linear and increasing
Answer:
D) non-linear and increasing
Step-by-step explanation:
The points do not go up into a straight line with equal or even points. However, it is increasing or going up as you can see on the graph.
Hope this helps, good luck! :D
Answer:
A) linear and increasing
Step-by-step explanation:
the line between x = -4 and x = -1 is a straight line, thus, it's a linear, and it's also increasing
plzzzzzzzz help for a brainly
Answer:
35
Step-by-step explanation:
the answer is 35 because a straight line is 170° and 135+35 is 170
What is the least common multiple of 2, 6, and 12?
Answer:
The LCM of 2,6,12 2 , 6 , 12 is 2⋅2⋅3=12 2 ⋅ 2 ⋅ 3 = 12 .
Step-by-step explanation:
Two cylinders are shown below. Find the volume of each cylinder. Use 3.14 for T. Round your answers to the nearest hundredth.
12 cm
4 cm
8 cm
..10.000.-
A
B
Cylinder A:
cm
Cylinder B:
cm3
Answer:
[tex]volume \ of \ cylinder = \pi r^2 h[/tex]
[tex]volume (A) = 3.14 \times 4 \times 4 \times 12 = 602.88 cm^3\\\\volume (B) = 3.14 \times 10 \times 10 \times 8 = 2512 cm^3[/tex]
Sequences:
See the following attached image, where you can see sets of circles, which follow a certain pattern:
Number of circles in next row 6: 21 circles, and row 7: 28 circles
1) Determine the number of circles in the nth pile (general term)
2) What is the number of circles when n tends to infinity?
Answer:
The sequence is
1, 1 + 2, 1 + 2 + 3, 1 + 2 + 3 + 4, ...Each term is the sum of the consecutive numbers from 1 to that number.
The nth term is the sum of the first n numbers:
aₙ = 1 + 2 + 3 + ... + naₙ = 1/2n(1 + n) (formula for sum of the n terms of arithmetic progression with the first term of 1 and common difference of 1)aₙ = n(n + 1)/21) The number of circles in the nth pile is n(n + 1)/2
2) When n tends to infinity the number of circles tends to infinity
Tony's 1st two jumps were 11 2/3ft and 11 1/2ft. His total distance was 44ft. How many feet was his final jump?
Answer: 20.83
Step-by-step explanation: 44 - 11 2/3 - 11 1/2 = 20.83
Too Easy.
if someone could please answer this question and explain how to solve it that would be so helpful.
Answer:
x=4
Step-by-step explanation:
x=4
Step-by-step explanation:
first subtract 4 from both sides of the equation 2x+4-4=12-4
simplify 2x=8
divide both sides of the equation by the same term
2x=8
2 2
cancel the terms that are in the numerator and denominator then decide the numbers
x=4
HELLO!! :) CAN U PLEASE HELP ME WITH THIS PROBLEM? I WILL GIVE YOU BRAINLIEST AND A THANKS!! THANK YOU FOR TRYING !! ..
Answer: 23 square feet
Step-by-step explanation:..... ummm yeah?
9 (t + 19) = 7t + 17
What value of t makes the equation true?
Answer:
9t + 171 = 7t + 17
9t - 7t =17 - 171
2t/2 = -154/2
t = -77
plz help it is kind of easy i will give alot of points to anyone that knows the answers
B. 26 years
i think..
Help me guys find the solution please and thank you
4x+17=23
Which of these inequalities has no solutions?
Answer:
b. √x<-14
Step-by-step explanation:
square roots are never negative
Please look at the image
Answer:
the pic is block
Step-by-step explanation:
Answer:
Jack's age =a
Matt's age= 2a+6
a+2a+6 =90
3a +6. =90
3a= 90-6
3a=84
a=28
Enter "y" or "n" to tell which value of x that make each equation or inequality true.
Answer:
First row (2x + 5 = 9) is N Y N
Second row (2x + 5 < 9) is Y N Y
Third Row (2x+ 5 _< 9) is N Y Y
Given that f(x) = x2 - 5x+6, evaluate the function f(6).
Answer:
f(6) = 12
Step-by-step explanation:
We are given the following function:
[tex]f(x) = x^2 - 5x + 6[/tex]
Evaluate the function f(6).
This is [tex]f(x)[/tex] when [tex]x = 6[/tex]. So
[tex]f(6) = 6^2 - 5(6) + 6 = 36 - 30 + 6 = 12[/tex]
f(6) = 12 is the answer.
Suppose that a hospital administrator states that the average weight at birth of all boys born at the certain hospital is 7 pounds. If the data you have shows, with 95% certainty, the average weight at birth of all boys born at that hospital is between 6.6 and 7.2 pounds. Do you agree with the administrator with 95% confidence
Answer:
Yes
Step-by-step explanation:
Here,
The average weight at birth of all boys born at a certain hospital is 7 pounds.
and [tex]95\%[/tex] confidence interval for the mean,
The average weight at birth of all boys born at that hospital is between [tex]6.6[/tex] and [tex]7.2[/tex] pounds.
[tex](6.6,7.2)[/tex]
Yes, We agree with the administrator with the [tex]95\%[/tex] confidence as [tex]7[/tex] lie in the interval.
