1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Scilla [17]
3 years ago
14

What's the lateral area of a right circular cone if the diameter of the base is 4 m and the slant height of the cone is 15m? Rou

nd your answer to the nearest whole number. A. 214m2 B. 107m2 C. 94m2 D. 188m2
Mathematics
1 answer:
slavikrds [6]3 years ago
6 0
We are tasked to solve for the lateral area of a right circular cone given that the base diameter measurement is 4 meters and the slant height measurement is 15 meters. To solve this problem, we need to use the formula below:
Lateral Area = pi*r (√h²+r²)
where r is half of the diameter measurement such as:
radius = r = diameter / 2
r = 4/2
r = 2 meters
Solving for the lateral area, we have it:
Lateral Area = 3.14*2 (√15²+2²)
Lateral Area = 94 m²

The answer is the letter "C".
You might be interested in
How long will it take to sum of 6,000 naira to give an interest of 1500Naira at 5% rate
Sonja [21]

Answer:

5years

Step-by-step explanation:

Interest=Principal*Rate*Time/100 which is

I=P*R*T/100

  • 1500=6000*5*T/100
  • 1500=30000/100*T
  • 1500=300T
  • 1500/300=T
  • 5=T

Therefore T which is Time=5 years.

HOPE THIS HELPS

8 0
2 years ago
Rewrite using the distributive property: 24 + 16
viva [34]

Answer:8(3+2)

Step-by-step explanation: Find gcf which is 8 then think what 24 divide 8 equal and think what 16 divide 8 equals.

6 0
2 years ago
Create a polynomial function in factored form that has the following characteristics: zero at x = 1, multiplicity of 2; zero at
Nataliya [291]
(x-1)^{2} (x+2)
3 0
3 years ago
QUESTION
Lorico [155]
1. For this item we just refer to the prompt to know the conjectures of Ernest and Denise. According to Ernest, they should swim 1 kilometer on the first week then add 0.25km every week while Denise believes that they should swim 1 kilometer on the first week then add 0.5km every week.

2. Yes, these distances make an arithmetic sequence. It's because an arithmetic sequence is defined as a group of increasing or decreasing numbers where the difference between any two consecutive numbers is constant. This just means that every number has the same interval. In the case of their schedule, this is true.

3. For this item we just follow the descriptions of Ernest's and Denise's schedule in item number 1. For Ernest, we just keep adding 0.25 from 1 kilometer until we added it thrice. For Denise, we also keep adding a number thrice but this time it's 0.5 instead of 0.25.

Ernest's Schedule: 1, 1.25, 1.5, 1.75
Denise's Schedule: 1, 1.5, 2, 2.5

4. Here we are asked to determine a formula that will describe the schedules of Ernest and Denise. In the given formula a_{n}= a_{n-1}+d, a_{n} refers to the next term in the sequence, a_{n-1} refers to the previous term, while d refers to the common difference. In the recursive formula all we need is to insert the value of d to the equations.

Ernest: a_{n}= a_{n-1}+0.25
Denise: a_{n}= a_{n-1}+0.5

5. For this item we basically do the same thing but this time we are given another formula. Our formula is in the form a_{n}= a_{1}+(n-1)d where a_{n} is still the nth term of the sequence, a_{1} is the very first time, n is the number of terms, and d is the common difference. 

Ernest: a_{n}= 1.0+0.25(n-1)
Denise: a_{n}= 1.0+0.5(n-1)

6. In this item we will just basically substitute numbers to one of the equations that we've set up in item #5. For this we need Ernest's explicit formula first. To know how far they will be swimming on week 10, the number of elements (n) must be 10.

a_{10}= 1.0+0.25(10-1)
a_{10}= 1.0+0.25(9)
a_{10}= 1.0+2.25
a_{10}= 3.25

7. Here, we just do the same thing as item #6 but this time we will consider Denise's explicit formula. Since we are also asked how far the students will be swimming on week 10, the number of elements would also be 10 and this would also be our value for n.

a_{10}= 1.0+0.5(10-1)
a_{10}= 1.0+0.5(9)
a_{10}= 1.0+4.5
a_{10}= 5.5

8. The answer for this question is obvious. You would just need to look at the 10th element in Ernest's and Denise's sequences and tell whose schedule had more than or equal to 5 as an answer. Following Ernest's schedule, you will just get 3.5 kilometers on the 10th week so it's definitely a no. Denise's schedule, on the other hand, would get you to 5.5 kilometers on week 10 so her training schedule should be followed.
7 0
3 years ago
What is the value of x?
ser-zykov [4K]
X = 20

Isolate the variable by dividing each side by factors that don't contain the variable.
x
=
20
7 0
2 years ago
Read 2 more answers
Other questions:
  • Help with #4 please
    6·1 answer
  • Geometry math question please help
    6·2 answers
  • Is 4/16 equivalent to 3/5
    7·1 answer
  • The equivalent resistance of R1 = 1000 ohms and R2 = 1500 ohms connected in parallel is _____ ohms.
    12·1 answer
  • Determine whether the graph is that of a function. An open circle indicates that the point does not belong to the graph.
    7·1 answer
  • If half of the 100 passengers are​ men, find the probability that the mean height of the 50 men is less than 76 in.
    6·1 answer
  • The average salary for a house painter is $35,190 per year. A physician makes on average $220,000. If you consider the earning p
    10·1 answer
  • Can someone plz help me
    8·2 answers
  • How many decimal places are in the product of the expression below?
    10·2 answers
  • A line has a slope of -3 and passes through the point (5,4)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!