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
ZanzabumX [31]
2 years ago
6

A cone of height 9cm has a volume of ncm³ curved surface area of ncm². Find the vertical angle of the cone

Mathematics
1 answer:
avanturin [10]2 years ago
5 0

Answer:

Step-by-step explanation:

let the radius be r and the slant height be L

then first of all: L^2 = r^2 + 9^2

= r^2 + 81

Surface area = πrL = n

volume = (1/3)πr^2 (9) = 3πr^2 = n

then 3πr^2 = πrL

3r = L , then in L^2 = r^2 + 81

9r^2 = r^2 + 81

8r^2 = 81

r = 9/√8

L^2 = 81/8 + 81 = 729/8

L = √1458/4

cos(baseangle) = (9/√8) / (√1458/4)

= 1/3

angle of base = appr 70.5°

check my arithmetic

You might be interested in
Make fractions equal by writing a number in each box (equivalent)<br> 1/2 = / = / = / = / = /
Grace [21]
1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12

Let's think of this visually, as a pie. 
If you were to split a pie down the middle into two pieces and ate one slice, you would be eating half of it. 
Now, let's say you didn't eat one of those slices. You sliced the pie down the middle (vertically) and made another slice (horizontally). You would have 4 equal pieces. If you ate two slices that were side by side, you would still have had the same amount if you just sliced it once. If you were to keep slicing and eating, you'd be eating the same amount if you kept it to two pieces. 
Hope it helped! 
5 0
3 years ago
Read 2 more answers
14. The current of a river is given by the
BaLLatris [955]

Answer:

27 Degree

Step-by-step explanation:

First Draw the graph (If you want)

Tan is what we have to use because TAN = Opposite / Adjacent

TanA=2/4

TanA=1/2

TanA=0.5

Tan^-1 x (0.5)

<A= 26.565...

ROUND TO THE NEAREST DEGREE = 27 Degrees

3 0
3 years ago
USA test prep please answer
aleksandr82 [10.1K]
I think it’s c sorry if it’s wrong
8 0
3 years ago
Read 2 more answers
Why is it wise to shop around when you want to borrow money?
Thepotemich [5.8K]

Borrowing money is a way to purchase something now and pay for it over time. But, you usually pay “interest” when you borrow money. The longer you take to pay back the money you borrowed, the more you will pay in interest. It pays to shop around to get the best deal on a loan.

5 0
3 years ago
For each of the solutions of the equations find two consecutive integers between
ale4655 [162]

Answer:

0 and 1

Step-by-step explanation:

x² = 3

take the square root of both sides

x = {-√3, √3}

x ≈ {-1.73, 1.75}

Two consecutive integers between 1.73 and 1.75

0 and 1

7 0
3 years ago
Other questions:
  • A prize was awarded to 24 women and 1130 men. a. What fraction of the prize winners were​ women? b. What fraction were​ men?
    6·1 answer
  • Plzzzzzzzzzzzzzz answer
    5·1 answer
  • Which description best describes all parallelograms? A. Only one pair of sides is parallel. B. There are 4 right angles. C. Ther
    10·2 answers
  • What is the value of F with an exponent of 2 + 8 if f= -7
    8·1 answer
  • Why does pi go on forever?
    10·2 answers
  • The nearest integer of the square root of -105
    9·1 answer
  • -5x=-6<br> what is the value of x?
    15·2 answers
  • I’m having trouble with this answer
    11·1 answer
  • Pls help me!<br><br>Find f(1)​
    10·1 answer
  • SOMEONE PLEASE HELP IM JUST DONT QUIT UNDERSTAND THIS!! You want to use a questionnaire to determine the most desired characteri
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!