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
uranmaximum [27]
3 years ago
5

A cone has radius 9 and height 12. A frustum of this cone has height 4.

Mathematics
1 answer:
Rom4ik [11]3 years ago
3 0

The radii of the frustrum bases is 12

Step-by-step explanation:

In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section

As given in the figure radius and height of the cone are 9 and 12 respectively

Similarly, the height of the frustum is 4

Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)

We can see that ΔABC is similar to ΔADE

Using the similarity theorem

AC/AE=BC/DE

Substituting the values  

12/16=9/DE

∴ DE= 16*9/12= 12

Hence the radii of the frustum is 12  

You might be interested in
[X + y] + 3w? Helpppppp
lana [24]

Answer:

x+y+3w

Step-by-step explanation:

7 0
3 years ago
Solve system by subsubstitution?<br> 14x-2y=46<br> -7x+y=-23
e-lub [12.9K]
14x-2y=46 \\&#10;-7x+y=-23 \\ \\&#10;\hbox{solve the 2nd equation for y:} \\&#10;-7x+y=-23 \\&#10;y=7x-23 \\ \\&#10;\hbox{substitute 7x-23 for y in the 1st equation:} \\&#10;14x-2(7x-23)=46 \\&#10;14x-14x+46=46 \\&#10;14x-14x=46-46 \\&#10;0=0 \\ \\&#10;\boxed{\hbox{infinitely many solutions}}
8 0
3 years ago
What is the solution to the system of equations
Leni [432]
When system of equations solved graphically, the solutions are points of interceptions, So here, the solution is the point of interception (0,-5).

Answer (0,-5).
5 0
3 years ago
According to the MIT Airline Data Project, American Airlines controlled 15.5% of the domestic market during a recent year. A ran
Naya [18.7K]

Answer:

0.0143

Step-by-step explanation:

In this question, we are asked to use the binomial distribution to calculate the probability that 10 or fewer passengers from a sample of MIT data project sample were on American airline flights.

We proceed as follows;

The probability that a passenger was an American flight is 15.5%= 15.55/100 = 0.155

Let’s call this probability p

The probability that he/she isn’t on the flight, let’s call this q

q =1 - p= 0.845

Sample size, n = 155

P(X < A) = P(Z < (A - mean)/standard deviation)

Mean = np

= 125 x 0.155

= 19.375

Standard deviation = √npq

= √ (125 x 0.155x 0.845)

= 4.0462

P(10 or fewer passengers were on American Airline flights) = P(X \leq 10)

= P(Z < (10.5 - 19.375)/4.0462)

= P(Z < -2.19)

= 0.0143

4 0
3 years ago
Read 2 more answers
Please help! ~Find the volume of the triangular prism~
12345 [234]

Answer:

23.04 m^2

Step-by-step explanation:

The volume of a prism is base * height. In the case of a triangular prism, you need to find the area of the base first (aka the triangle).

The area of a triangle is base * height / 2. Since we have the values for those we can substitute the values into the formula and solve.

2.4 * 3.6 / 2 = 3.84.

Now multiply that by height of the prism, which is 6, and we get 23.04 m^2.

Hope this helps!

7 0
3 years ago
Other questions:
  • How do I solve this help plz
    12·2 answers
  • The scatter plot shows the systolic blood pressure of people of several different ages.
    13·2 answers
  • What is the simplified form of the expression? 5c2-4c+3D-3+2c2d-3c+d-7
    6·1 answer
  • If a 12-meter-tall airplane hangar casts a 18-meter shadow at the same time a parked jet casts a 6-meter shadow , how tall is th
    13·1 answer
  • 1. Find the perfect square numbers between the following:
    5·1 answer
  • Please help she wont go to the next aswer
    9·1 answer
  • Helpppp ! Will give brainlist!
    10·2 answers
  • Charlie makes a batch of 90 cookies and divides it into smaller batches. If there is 1/3 cup of flour in each small batch, how m
    9·1 answer
  • Please help, question in pic
    6·1 answer
  • 9 ft19 ftPlease refer to the rounding rules in the instructions.Circumference of the base = 59.5feetArea of the base = 254.3squa
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!