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
Cloud [144]
3 years ago
5

The perimeter of triangle ABC is 82 inches. The triangle is rotated about a line that passes through points B and D.

Mathematics
2 answers:
Musya8 [376]3 years ago
7 0

Answer:

A cone with base radius of 17 in

Step-by-step explanation:

Given

Triangle ABC

Where

AB = BC = 24in

D = Midpoint of AC

Required

Which best describes the resulting three-dimensional figure?

First, the length of the third side of the triangle has to be calculated

The sides of triangle ABC are AB, AC and BC

Given that the perimeter = 82 in

AB + AC + BC = 82

Recall that AB = BC = 24in; The equation becomes

24 + AC + 24 = 82

Collect like terms

AC = 82 - 24 - 24\\AC = 34

Given that, the triangle is rotated at D, the midpoint of AC

The length of the midpoint has to be calculated

D = \frac{1}{2}AC

D = \frac{1}{2} * 34

D = \frac{34}{2}

D = 17

At this point, we can dismiss options C and D.

This is because; a triangular pyramid is formed by more than 1 triangles (at least 3 triangle) and in this case, we're dealing with only 1 triangle.

So, we have option A and B to select from.

When the triangle is rotated at point D, it generates a cone such that the radius of the cone is the distance at point D.

This implies that, a cone with base radius D is generated.

Recall that D = 17.

Hence, <em>A cone with base radius of 17 in</em>

garri49 [273]3 years ago
4 0

Answer:

A

Step-by-step explanation:

You might be interested in
Please help with both questions ​
tresset_1 [31]
Value of n is greater than (-2) and less than or equal to 3.
n = {-1,0,1,2 3}

3x +5 > 16
Subtract 5 from both sides
3x > 16 - 5
3x > 11
x > 11/3
x> 3.67

X= 4 is the smallest value
4 0
1 year ago
Read 2 more answers
0.96% as a fraction in simplest form.<br> help needed
Mariulka [41]

Answer:

24/25

Step-by-step explanation:

0.96%

96/100

24/25

8 0
3 years ago
The picture reeeeeeeeeeeeeeeeeeeeeeeeee
Marina CMI [18]

Answer:

D. 3x - 3

Step-by-step explanation:

To find (f-g)(x) you have to subtract each fuction

(f-g)(x) = f(x) - g(x)

(f-g)(x) = 5x -2 - (2x+1)

(f-g)(x) = 5x -2 -2x -1

(f-g)(x) = 3x -3

7 0
3 years ago
Read 2 more answers
A marketing consultant was in the process of studying the perceptions of married couples concerning their weekly food expenditur
lara31 [8.8K]

Answer:

We have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.

Step-by-step explanation:

The hypotheses testing procedure in the given scenario is

H0: Husband’s perception would be similar to the wife’s i.e. μh=μw

Ha: Husband’s perception would be higher than the wife’s i.e. μh>μw

Level of significance: α=0.05

Test statistic: t=2.776

Critical region: t>t(0.05,9)=1.833

Conclusion: As the calculated value of t lies in critical region, so we reject our null hypothesis at 0.05 level of significance. Thus, we have sufficient evidence to conclude at α = .05 that the husband’s perception would be higher than the wife’s.

8 0
2 years ago
What is 5.138 + 2.624 = ? (show ur work)
Mrac [35]

Answer:

7.762

Step-by-step explanation:

Brainliest!

3 0
1 year ago
Other questions:
  • Perform the indicated operation. √75 + √12
    5·1 answer
  • 2 (w^2-2w)=5 SOLVE USING QUADRATIC EQUATION
    14·1 answer
  • Please help meeeeee please please please please please please please please please please please please please please please ple
    13·1 answer
  • ILL MARK BRAINLEST IF ITS GOOD EXPLANATION AND ANSWER******
    9·2 answers
  • △ABC has interior angles with measures 130°, x°, and 15°, and △DEF has interior angles with measures 35°, 15°, and y°. Using the
    7·2 answers
  • To the nearest hundredth, what is the value of x?
    15·2 answers
  • Y= 1/3x-9
    12·1 answer
  • 10
    10·1 answer
  • The perimeter of the rectangle below is 166 units. Find the length of side RS.
    10·1 answer
  • The length of a rectangular garden is 20 feet and the width is 15 feet. What is ratio of length to width?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!