find the total surface area of the following cone. leave your answer in terms of pi.
Answers
Answer:
90pi
Step-by-step explanation:
SA = pi r l +B
we know the radius is 5
We need to find the slant height using the Pythagorean theorem
a^2+b^2 = c^2
5^2+12^2 = l^2
25+144= l^2
169 = l^2
Taking the square root of each side
sqrt(169) = sqrt(l^2)
13 = l
B is the area of the base
B = pi r^2 = pi (5)^2 = 25 pi
SA = pi r l +B = pi (5)*13 + 25pi
=65pi +25pi = 90pi
Answer:
90 pi
Step-by-step explanation:
Just in case the other answer was confusing. Just put it in, and it marked it right. 90 is the answer
SA= 90
Related Questions
One school bus can hold 46 students. There are 29 students in each of the 5 fifth-grade classes. How many buses will they need in order to transport everyone to the zoo for a field trip?
Answers
Divide by 46 answer is 4 buses
Answer:
4
Step-by-step explanation:
29x5=145
= 145 (divided) 46= 3.15...
4 buses
PLEASE I NEED HELP
If f(x) = x/2 -3 and g(x) = 4x2+ x - 4, find (f+g)(x). A. 4x2 + 3/2x-7 B. 4x2 + 1/2x - 1 C. 6x2 - 7 D. 4x2 + 3/2x -1
Answers
Answer:
A.
[tex]4x {}^{2} + \frac{3}{2} x - 7[/tex]
Step-by-step explanation:
Add theses functions
[tex] \frac{x}{2} - 3 + 4 {x}^{2} + x - 4 \\ 4 {x}^{2} + \frac{3}{2} x - 7[/tex]
Point Z is the incenter of triangle RST. Point Z is the incenter of triangle S R T. Lines are drawn from the points of the triangle to point Z. Lines are drawn from point Z to the sides of the triangle to form right angles and line segments Z A, Z B, and Z C. Angle A S Z is (5 x minus 9) degrees and angle Z S B is 16 degrees. What is the value of x? x = 2 x = 3
Answers
9514 1404 393
Answer:
x = 5
Step-by-step explanation:
SZ is the angle bisector of angle S, so ...
∠ASZ = ∠ZSB
5x -9 = 16
5x = 25 . . . . . . add 9
x = 5 . . . . . . . . .divide by 5
Answer:
C
Step-by-step explanation:
mhm
Marco is turning the expression (x-4)^2 into a trinomial. He writes down what is shown below. What is his error?
Answers
=x^2-4x-4x+16
=x^2-8x+16
it’s +16, not negative. he forgot that when you add two negatives together, it becomes positive.
Answer:
Step-by-step explanation:
first, let's solve the equation ourselves.
(x-4)^2= (x-4)(x-4)= x^2−8x+16
now, we can see what's different about the two.
we can say that Marco's answer had the number 16 as a negative, when it was supposed to be positive. Marco wrote the incorrect sign.
A 10.0kg rock is dropped and hits the ground below at a speed of 60 m/s . Calculate the gravitational potential energy of the rock before it was dropped
Answers
Answer:
Solution:
Mass of body, m= 10kg
velocity, v= 60m/s
Now,kinetic energy on earth= potential energy at a that point [energy conservation]
so, kinetic energy= 1/2*m* v^2
= 1/2* 60(60)^2
= 30* 60*60
= 108000 joules
The method of tree ring dating gave the following years A.D. for an archaeological excavation site. Assume that the population of x values has an approximately normal distribution. 1271 1187 1194 1250 1268 1316 1275 1317 1275 (a) Use a calculator with mean and standard deviation keys to find the sample mean year x and sample standard deviation s. (Round your answers to the nearest whole number.)
Answers
Answer:
The sample mean year is 1261 A.D.
The standard standard deviation is of 46 A.D.
Step-by-step explanation:
Sample mean:
Sum of all values divided by the number of values. So
[tex]x = \frac{1271+1187+1194+1250+1268+1316+1275+1317+1275}{9} = 1261.4[/tex]
Rounding to the nearest whole number, the sample mean year is 1261 A.D.
Sample standard deviation:
Square root of the sum of the difference squared between each value and the mean, divided by one less than the sample size. So
[tex]s = \sqrt{\frac{(1271-1261.4)^2+(1187-1261.4)^2+(1194-1261.4)^2+(1250-1261.4)^2+(1268-1261.4)^2+(1316-1261.4)^2+(1275-1261.4)^2+(1317-1261.4)^2+(1275-1261.4)^2}{8}} = 45.8[/tex]
Rounding to the nearest whole number, the standard standard deviation year is of 46 A.D.
Consider the right triangle shown. Which statements are correct?
Answers
hope this helps
Factor the binomial b^2 - 9
Answers
Answer:
(b-3)(b+3)
Step-by-step explanation:
b^2+3b-3b-9
Explanation: Sum-product pattern, then find the common factor(s), rewrite into factored form : )
Which of the following is closest to the mean absolute deviation of this
data set: 2.1, 3.5, 4.6, 5.8, 3.9, 4.2, 2.8?
A. 0.89
B. 1.6
C. 3.84
D. 3.9
Answers
Answer:
0.89
Step-by-step explanation:
Trust
Montraie is going to see a movie and is taking his 2 kids. Each movie ticket costs $13
and there are an assortment of snacks available to purchase for $3.50 each. How
much total money would Montraie have to pay for his family if he were to buy 4
snacks for everybody to share? How much would Montraie have to pay if he bought X
snacks for everybody to share?
Answers
cost of 4 snacks
Answer: 53
Total cost: 3.50× + 39
what is the sum of the fraction
Answers
Answer:
d) 72/100
Step-by-step explanation:
the first grid is 42/100 so you add the 3/10 which 3/10 is equal to 30/100 the grid is just simplified. Once you add 42/100 and 30/100 it equals to 72/100. Hope this is helps you !
Answer:
72/100
Step-by-step explanation:
There is 40 whole and 30 whole which equals 70. Plus 2 which is 72 so the answer is 72/100
ANSWER THE QUESTION FOR BRAINLIEST
Answers
Answer:
stight line
Step-by-step explanation:
find the length of x
help please i need it asap
Answers
Step-by-step explanation:
[tex] \frac{6}{4.5} = \frac{4}{x} \\x \times 6 = 4 \times 4.5 \\ x = \frac{4 \times 4.5}{6} \\ x = \frac{18}{6} \\ x = 3[/tex]
#CMIIWwrite an expression for b divided by 6
(please only real answers, I am already failing I don't need more bs)
Answers
Answer:
Well divided by is basically he slash between the things so it would be
b/6
Step-by-step explanation:
÷ is basically (divided by) and whatever number comes first jsut write it like for example
10 divided by 4
10 / 4
Answer:
b/6
Step-by-step explanation:
dont you think thats a bit easy? B divided by six, b ÷ 6, b goes in the like box when u do long division and 6 is outside
Solve for x
A) -12
B) 8
C) 5
D) 7
Answers
Answer:
B. 8
Step-by-step explanation:
9x + 1 = 8x + 9
x = 8
Find Value of x. The diagram is not to scale.
Answers
Answer:
x = 45
Step-by-step explanation:
180 - 106 = 74
74 + 61 = 135
180 - 135 = 45
45 = x
Lola has 3 feet of ribbon. She needs to cut the ribbon into equal 2-inch strips
2
How many 2-inch strips can she cut from the 3 feet of ribbon?
2
A
15
B
90
C
21
D
145
Answers
Answer:
18
Step-by-step explanation:
1 ft=12in
3ft=36in
divide 36 by 2 and you get 18
can someone please help me? I really need help
Answers
Answer:
x=49
<A=90
<E=147
Step-by-step explanation:
A circle has a radius of 5 centimeters. What is its area?
Answers
Answer:
[tex] \bf \huge 78.5 \: c.m.[/tex]
Step-by-step explanation:
Given that :A circle has a radius of 5 centimeters. to find :What is its area?formulas used :A = πr²where,
A = areaπ = 22/7 r = radiusexplanation :finding the area of circle
⟼ A = πr²
⟼ A = 22/7 × 5²
⟼ A = 22/7 × 5 × 5
⟼ A = 3•14 × 5 × 5
⟼ A = 3•14 × 25
⟼ A = 78•5
∴ the area of circle is 78•5 centimeters
Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions the population follows a logistic growth model: P(t) = d 1 + ke−ct where c, d, and k are positive constants. For a certain fish population in a small pond d = 1200, k = 11, c = 0.2, and t is measured in years. The fish were introduced into the pond at time t = 0. (a) How many fish were originally put in the pond? 100 Correct: Your answer is correct. fish (b) Find the population after 10, 20, and 30 years. (Round your answers to the nearest whole number.) 10 years 1 Changed: Your submitted answer was incorrect. Your current answer has not been submitted. fish 20 years fish 30 years fish (c) Evaluate P(t) for large values of t. What value does the population approach as t → [infinity]? P(t) =
Answers
Answer:
(a) 100 fishes
(b) t = 10: 483 fishes
t = 20: 999 fishes
t = 30: 1168 fishes
(c)
[tex]P(\infty) = 1200[/tex]
Step-by-step explanation:
Given
[tex]P(t) =\frac{d}{1+ke^-{ct}}[/tex]
[tex]d = 1200\\k = 11\\c=0.2[/tex]
Solving (a): Fishes at t = 0
This gives:
[tex]P(0) =\frac{1200}{1+11*e^-{0.2*0}}[/tex]
[tex]P(0) =\frac{1200}{1+11*e^-{0}}[/tex]
[tex]P(0) =\frac{1200}{1+11*1}[/tex]
[tex]P(0) =\frac{1200}{1+11}[/tex]
[tex]P(0) =\frac{1200}{12}[/tex]
[tex]P(0) = 100[/tex]
Solving (a): Fishes at t = 10, 20, 30
[tex]t = 10[/tex]
[tex]P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483[/tex]
[tex]t = 20[/tex]
[tex]P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999[/tex]
[tex]t = 30[/tex]
[tex]P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168[/tex]
Solving (c): [tex]\lim_{t \to \infty} P(t)[/tex]
In (b) above.
Notice that as t increases from 10 to 20 to 30, the values of [tex]e^{-ct}[/tex] decreases
This implies that:
[tex]{t \to \infty} = {e^{-ct} \to 0}[/tex]
So:
The value of P(t) for large values is:
[tex]P(\infty) = \frac{1200}{1 + 11 * 0}[/tex]
[tex]P(\infty) = \frac{1200}{1 + 0}[/tex]
[tex]P(\infty) = \frac{1200}{1}[/tex]
[tex]P(\infty) = 1200[/tex]
What is 5/6 of 1/2 on a number line
Answers
Answer:
5/12
Step-by-step explanation:
5/6 of 1/2 is basically 5/6 times 1/12 which is 5/12.
Please answer or give the steps to answer please please please this is my state test and i can’t fail
Answers
Answer:
1. 466.3ft
2. 12.1m
Step-by-step explanation:
1.
Imagine this as a triangle like shown in pic attached, then use tan to find 'x', the distance between the base of the tower and the fire:
tanA=opposite/adjacent
tan25=x/1000
x=100tan25
x=466.3ft
2.
Imagine this as a triangle like shown in pic attached, then use sine to find 'x', the kite's vertical height above the boy's hand:
sinA=opposite/hypotenuse
sin12=x/50
x=50sin12
x=10.4m
The kite's height off the ground is this plus the height of the boy's hand from the ground: 10.4+1.7=12.1m
Help me pleas I need help to solv this problem
Answers
Answer:
(name) has a pizza. (name) steals (a fracton) of the pizza. How much pizza is left?
Step-by-step explanation:
The area of a rectangle is 144a^8b^4 square units. If the width of the rectangle is 8a²b^2 units, what is the length in units?
A 18a^6b^2 units
B 136a^6b^2 units
C 152a^10b^6 units
D 1152a^10b^6 units
Answers
Answer:
A) 18a^6b^2
Step-by-step explanation:
area = width x length
length = area/width
144a^8b^4/8a²b^2 = 18a^6b^2
The radius of a circle is 1 meter. What is the circle's area?
Answers
because the area of a circle is
PI*r^2
Radius is 1 so we multiply it by 1
1*3.14= 3.14 therefore the answer should be 3.14 if i’m not wrong
Twice the product of 6 and 5 is three times as great as this number.what is the number
Answers
Answer:
The number is 20.
Step-by-step explanation:
The product of 6 and 5 is 30.
Two times the product of 30 is 60.
60 divided by 3 is 20.
The number is 20.
Find the mean absolute deviation of the set of data. Round your answer to two
decimal places.
3, 1, 5, 4, 8,6
Answers
Answer:
4.5 is the mean/average
Step-by-step explanation:
3+1+5+4+8+6=27
27 divided by 6 = 4.5
Plz someone help me on these 2 questions!! I'm desperate :)
Answers
Answer:
Step-by-step explanation:
7. The graph does not touch the x axis and never will
8. Horizontal asymptote is y=-100
Mort bought his house in 2004 for $279,000. it was recently appraised at $186,000. What is the approximate percent of decrease in value
Answers
Answer:
33.3%
Step-by-step explanation:
(279,000 - 186,000) / 279,000 = 0.33333333333
0.33333333333*100= 33.3333333333
Formula used:
[tex]V_{2} -V_{1}[/tex] / [tex]V_{2}[/tex] × 100
V2= 279,000
V1= 186,000
The approximate percentage of the decrease in value of the house is 33.33%.
Purchase price of the house = $279,000
Appraisal cost of the house = $186,000
What is a percentage?The percentage is the value per hundred.
The percent of the decrease in value = (279000-186000)/279000 *100
The percent of the decrease in value =(93000/279000) *100
The percent of the decrease in value =33.33%
Hence, the approximate percentage of the decrease in value of the house is 33.33%.
To get more about percentages visit:
https://brainly.com/question/24304697
Questlon 3 of 10
Which term describes the distance from the center of a circle to any point on
the circle?
A. Diameter
B. Center
C. Circumference
D. Radius
SUBMIT
Answers
Radius.
Step-by-step explanation:
