The distance from the top of the cone to the edge is 15 feet. The height of the cone is 6 feet. What is the radius of the cone? Round to the nearest
tenth
Answers
Answer:
The radius of the cone is approximately 13.4 feet
Step-by-step explanation:
The dimensions of the given cone are;
The distance from the top of the cone to the edge of the cone = 15 feet
The height of the cone = 6 feet
The radius of the cone is given by the base of the right triangle formed by the slant length, the base radius and the height which is found using Pythagoras theorem as follows;
The radius of the cone, r = √((Slant distance)² + (Height)²)
∴ r = √((12 ft.)² + (6 ft.)²) ≈ 13.4 ft. (by rounding to the nearest 10th)
Related Questions
Please help me!
15. What is the amplitude of the wave in the diagram? What is the wavelength?
Answers
what is the equation of this line?
Answers
Answer:
Y=4
Step-by-step explanation:
The line is horizontal, which means that variable would be 4. The line starts at 4, which mean the equivalent of the variable is 4.
A stone is thrown straight down from a tall building. The relation h = 150 - 5t - 5t^2
approximates its path, with h in metres and t in seconds.
a) How tall is the building?
b) Factor the right side of the equation fully.
c) When does the stone hit the ground?
Answers
Answer:
a) The building is 150 m tall
b) h(t)=-5(t+6)(t-5)
c) The stone hits the ground at 5 seconds.
Step-by-step explanation:
Function Models
The path of a stone thrown down from a tall building is modeled by the function:
[tex]h(t)=150-5t-5t^2[/tex]
Where h is the height in meters and t is the time in seconds after the stone is thrown.
a) To find the height of the building, we set t=0 because it's the moment when the stone is thrown and has the same height as the building:
[tex]h(0)=150-5*0-5*0^2[/tex]
[tex]h(0)=150[/tex]
The building is 150 m tall
b) The function is
[tex]h(t)=150-5t-5t^2[/tex]
Factoring out -5:
[tex]h(t)=-5(-30+t+t^2)[/tex]
Rearranging:
[tex]h(t)=-5(t^2+t-30)[/tex]
To factor the polynomial in parentheses, we must find two numbers whose product is -30 and sum is 1. We can also use the quadratic formula to find the roots and factor later.
These numbers are 6 and -5, thus the function is:
[tex]h(t)=-5(t+6)(t-5)[/tex]
c) The stone hits the ground when h=0:
[tex]-5(t+6)(t-5)=0[/tex]
The equation has two solutions:
t = -6
t = 5
The only feasible solution is t = 5, thus the stone hits the ground at 5 seconds.
12y/5b • 15ab/4y2
Simplify
Answers
Answer:
D is the answer
Step-by-step explanation:
Help please due in 5 minutes
Answers
Answer:
a
Step-by-step explanation:
Answer:
It b.
Step-by-step explanation:
You can use demos for this (graphing calculator. :)
Look at the pic plsssssss
Answers
Answer:
I can't see it
Step-by-step explanation:
you should zoom in a little bit please
This graph shows the costs of purchasing two types of flowers. Which statement is true? Flower A is less expensive than Flower B. Flower B is less expensive than Flower A. Flower A and Flower B cost about the same.
Answers
Answer:
b
Step-by-step explanation:
Answer:
The answer is B :)
Step-by-step explanation:
CRM 3.1 - Lesson 6
Angle Relationships and Measures
Directions: Using the diagram provided, answer the questions below.
1. What is the relationship between m_1 and m23?
2. If mz1 = 120°, find m23
2.
3
3. What is the relationship between mzl and m24?
4. If m_4 = 65°, find m21
Using Angles Relationships to Solve Problems
Math
Answers
Answer:
How might an author's point of view be related to his or her purpose?
Step-by-step explanation:
PLZ HELP WILL DO ANYTHING
Answers
Answer:
Help me with my Physics lol
Given that x^2 - y^2 = 45 and x + y = 9, find the values of x and y.
Answers
Answer:
x = 7
y = 2
Step-by-step explanation:
x² - y² = 45
(x+y) (x-y) = 45
x + y = 9 (known)
9 x (x-y) = 45
x - y = 5
y = x-5
x + (x - 5) = 9 (substitute)
2x = 14
x = 7
y = 2
The expression 7n-8n-5+n+2-1 can be simplified to:
Answers
Answer:
It can be simplified to: -4
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
combine like terms 8n-8n-6+2
8n-8n=0 so
-6+2=-4
Solve plzzzzzz i need help
3p-4=14
Answers
Answer:
p = 6
Step-by-step explanation:
3p - 4 = 14 / +4
3p = 18 / ÷ 3
p = 6
5. Solve this system of equations. 3x + 4y = 36 y = -x +8.
please help meee3333............
Answers
Answer:
x = -4 and y = 12
Step-by-step explanation:
Since you have y = -x + 8 you can substitute this into the first equation where y was so you have 3x + 4(-x + 8) = 36.
That way, there is only one variable and it is easier to solve.
3x + 4(-x + 8) = 36
3x -4x + 32 = 36
-x +32 = 36
-x = 4
x = -4
Plugging this into the equation y = -x +8,
y = -(-4) + 8
y = 4 + 8
y = 12
The number of employees for a certain company has been decreasing each year by 5%. If the company currently has 900 employees and this rate continues find the number of employees in 17 years
Answers
Answer:
2062 employees
Step-by-step explanation:
Basically, you have an exponential function going on here. If you start with 900 employees and add 5 percent to the amount of employees (multiply by 1.005) seventeen times, you will get the equation [tex]E=900*1.05^{17}[/tex]. If we round down (because there can not be a fraction of an employee), there will be 2062 employees after 17 years.
Solve each system of equations using substitution
Answers
I did the first question as reference. Pretty simple once you get it!
9.
Brian says that ABCD is a right triangle. Is he correct? Explain.
B
17 m
13.5 m
21.7 m
Answers
Answer:
sorry but can u give me full question
Step-by-step explanation:
like picture
Can you please help me answer this picture
Answers
Hi and by
Directions: Type the correct answer in each box. Spell all words correctly, and use numerals instead of words for numbers.
In class, pairs of students were given numbers to work with. In each pair, one student found the greatest common factor and the
other student found the least common multiple.
Jess and Nate were given the numbers 8 and 12.
• Jess found that the greatest common factor is 4.
• Nate found that the least common multiple is 48.
One of these students made a mistake.
Which student made a mistake?
What number should the student have found instead?
Answers
Answer:
Nate made a mistake. The LCM is actually 24.
Step-by-step explanation:
So, Jess found the GCF of 8 and 12 is 4. Let's make sure first.
Method 1: List the factors of 8 and 12.
8: 1, 2, 4, 8
12: 1, 2, 3, 4, 6, 12
Method 2: Or find the prime factorization of 8 and 12
8: 2 * 2 * 2
12: 2 * 2 * 3
Both 8 and 12 share 2 2's.
Multiply 2 by 2 to get 4 as the GCF
4 is the greatest factor 8 and 12 share, so Jess is correct.
Nate found the LCM of 8 and 12 is 48. Let's make sure that's correct.
Method 1: List the multiples of 8 and 12.
8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96
12: 12, 24, 36, 48, 60, 72, 84, 96, 108, 120, 132, 144
24 is the smallest number 8 and 12 have in common.
Method 2: Union of Primes
8: 2 * 2 * 2
12 : 2 * 2 * 3
Create a union of these primes.
Union: 2 * 2 * 2 * 3
4 * 2 * 3
8 * 3
24 = LCM
The LCM of 8 and 12 is 24, not 48, so Nate is incorrect. Thus, Nate made the mistake.
24 POINTS lots of points PLEASE Answer the following correctly please need help
question is in the picture
Answers
Answer:
4 quizzes are taken per week
Step-by-step explanation:
12/3=4
20/5=4
which numbers in the list are less than -0.94?
Answers
Answer:
The answer is B
The numbers -2.23 [tex]-2\frac{2}{5}[/tex], and -0.95 are numbers that are less than -0.94 option (B) is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
We have a number list:
-15/16, 0.24, -2.23, 97%, [tex]-2\frac{2}{5}[/tex], -0.95
We can write these numbers such as:
-0.9375, 0.24, -2.23, 0.97, -2.4, -0.95
Now comparing the each number with -0.94
-0.9375 > -0.94
0.24 > -0.94
-2.23 < -0.94
0.97 > -0.94
[tex]-2\frac{2}{5}[/tex] or -2.4 < -0.94
-0.95 < -0.94
Thus, the numbers -2.23 [tex]-2\frac{2}{5}[/tex], and -0.95 are numbers that are less than -0.94 option (B) is correct.
Learn more about the inequality here:
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Pls help if u can ! For brainly
Answers
Answer:
5/8
Step-by-step explanation:
1/4+3/8=5/8
10 - 5(x - 1) what is the answer to this ?
Answers
Answer:
15 - 5x
Step-by-step explanation:
10 - 5(x - 1)
Multiply 5 by x and 1 using the distributive property.
10 - 5x + 5
Add like units. 10 + 5 = 15
15 - 5x is your final answer.
PLEASE HELP, I WILL GIVE BRAINLIEST AND 100 POINTS
Generate the first five terms of each sequence.
n^2
Answers
Answer:
a) [tex]f(n) = n^{2}[/tex]
[tex]f(1) = 1[/tex], [tex]f(2) = 4[/tex], [tex]f(3) = 9[/tex], [tex]f(4) = 16[/tex], [tex]f(5) = 25[/tex]
b) [tex]f(n) = n^{3}[/tex]
[tex]f(1) = 1[/tex], [tex]f(2) = 8[/tex], [tex]f(3) = 27[/tex], [tex]f(4) = 64[/tex], [tex]f(5) = 125[/tex]
c) [tex]f(n) = n^{2}+n^{3}[/tex]
[tex]f(1) = 2[/tex], [tex]f(2) = 12[/tex], [tex]f(3) = 36[/tex], [tex]f(4) = 80[/tex], [tex]f(5) = 150[/tex]
Step-by-step explanation:
This formulas uses only natural numbers, which means that [tex]n \ge 1[/tex]. Then, we evaluate each function at 1, 2, 3, 4 and 5:
a) [tex]f(n) = n^{2}[/tex]
[tex]f(1) = 1[/tex], [tex]f(2) = 4[/tex], [tex]f(3) = 9[/tex], [tex]f(4) = 16[/tex], [tex]f(5) = 25[/tex]
b) [tex]f(n) = n^{3}[/tex]
[tex]f(1) = 1[/tex], [tex]f(2) = 8[/tex], [tex]f(3) = 27[/tex], [tex]f(4) = 64[/tex], [tex]f(5) = 125[/tex]
c) [tex]f(n) = n^{2}+n^{3}[/tex]
In which each element is the sum of respective results found in a) and b).
[tex]f(1) = 2[/tex], [tex]f(2) = 12[/tex], [tex]f(3) = 36[/tex], [tex]f(4) = 80[/tex], [tex]f(5) = 150[/tex]
which number will make the fractions equal? 3/10 = 30/?
A) 1
B) 10
C) 100
D) 1000
Answers
Answer:
c) 100
Step-by-step explanation:
30/100 would be adding two zeroS, and even if that’s wrong when you multiply both by 10 it will be 30/100 so your anwser is
C, 100.
RECEIVE 50 POINTS FOR THIS!!!!!!!!!! EASY QUESTION
1- I have three times as many cats as Alice but Bob has 7 less cats than me. In total we have 56 cats. How many cats do I have?
Answers
Answer:
27
Step-by-step explanation:
1
28:34
Which of the following is most likely missing from your financial plan if you are not prepared for an emergency?
a financing
b. a budget
c. investments
d. savings
Please select the best answer from the choices provided
Ο Α
ОВ
0 С
Mark this and return
Save and Exit
Next
Submit
Answers
Answer:
Step-by-step explanation:
investment
Solve 3(x - 7) = 33
Answers
Answer:
18
Step-by-step explanation:
you have to do the inverse so first you need to do 33/3=11 then because it says -7 you add 7 to 11 which is 18.
i hope this helps
The value of 'x' in the given linear equation is 4.
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. Here, 'x' is a variable, 'A' is a coefficient and 'B' is constant."
Given liner equation is:
3(x - 7) = 33
⇒ 3x - 21 = 33
⇒ 3x = 33 - 21
⇒ 3x = 12
⇒ x = 4
Therefore, the value of 'x' is 4.
Learn more about linear equation here: https://brainly.com/question/2279899?
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which calculation be used to find the value of p in the equation p^3=8?
Answers
Answer:
2
Step-by-step explanation:
Which measurements are necessary for determining both the speed and
velocity of a moving object?
A. Distance, time, and direction
B. Direction, displacement, and distance
C. Distance, direction, and acceleration
D. Direction, time, acceleration
Answers
Answer:
b i am pretty sure
Step-by-step explanation:
Direction, displacement, and distance are the measurements are necessary for determining both the speed and velocity of a moving object
What is Speed?Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement.
The measurements which are necessary for determining both the speed and velocity of a moving object.
Speed=Distance/Time
To calculate speed we need to know the distance and time.
Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference
Velocity=Displacement / Time
Hence Direction, displacement, and distance are the measurements are necessary for determining both the speed and velocity of a moving object
To learn more on Speed click:
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Express the ratio 3:9 in its simplest form.
Answers
Answer:
1:3 I think
Step-by-step explanation:
3/3=1
9/3=3
Answer:
3/9 = 1/3
Step-by-step explanation:
simplifying