8. Find the surface area of a triangular pyramid if the area of each phase is 16 cm² and each of its lateral faces has an area of 9 cm².

Answers

Answer 1

Answer:

The base of a right pyramid is an equilateral triangle with area 16√3 cm².  area of one of its lateral faces is 30 cm²

To find :   height (in cm) i

Solution:

The base of a right pyramid is an equilateral triangle with area 16√3 cm²

Area of an equilateral triangle = (√3 / 4) Side ²

(√3 / 4) Side ²  = 16√3

=> Side ²  = 64

=> Side = 8 cm

Distance of center of triangle to mid point of Side for Equilateral triangle = side/ 2√3     = 8/ 2√3  = 4/√3

Let say Height  = H

Slant Height =  √((4/√3)² + H²)

Area of lateral surface = (1/2) * base * Slat Height

= (1/2) * 8 * Slant height = 30

=> Slant height = 15/2

15/2   = √((4/√3)² + H²)

=> 225/4  =  16/3  + H²

=> 611/12  = H²

=> H = 7.135  cm

Step-by-step explanation:


Related Questions

Please help I don't understand it

What is the probability that a point chosen at random in the given figure will be inside the smaller square?



Enter your answer, as a fraction in simplest form, in the box.


P(inside smaller square) =

Answers

Answer: The answer is 9/15! I think

Step-by-step explanation:

9/15 sorry if I got it wrong but I am 98% sure I’m right

heLp plEasE 15 points here

Answers

Answer:

B and C

Step-by-step explanation:

I hope this helps :)

20 POINTS
Which measure of spread is the most appropriate for the data set represented by the graph?
A. range
B. quartiles
C. interquartile range
D. mean absolute deviation
E. either range or interquartile range

Answers

The answer is D! I hope this helps..

The most appropriate for the data set represented by the graph is mean absolute deviation.

What is Mean absolute deviation (MAD)?

It is a measure of variability or variation that indicates the average distance or average absolute distance between each data point or data value and the mean of a data set

We can calculate the variability of a data set by different measure thay include range, interquartile range, mean absolute deviation, standard deviation, etc.

Quartiles or ranges may be useful but they are limited as they tend to skip a lot of data in the group.

While, absolute deviation can help us get a more representative idea of spread for a data set like the one given in this question, where the elements have close difference.

Hence, the most appropriate for the data set represented by the graph is mean absolute deviation.

Learn more about mean absolute deviation, click;

https://brainly.com/question/10528201

#SPJ3

Where could you draw a line segment so that the diagram has another hexagon that is congruent to hexagon ABCIHG?

Answers

You can draw a line segment at EK

You can draw a line segment at EK

HELP IM BEING TIMED

Solve for x.

x/4 = 3/8

Answers

The answer is 1.5 because /4 is half of /8 so 1.5/ is half of 3/

Answer: 3/2 or 1.500

Step-by-step explanation:

An inequality is given, where r is a positive rational number.

r • q/r < 0

Which inequality must also be true?

A.) q < 0

B.) q > 0

C.) q < - r

D.) q/r < - r

Answers

Answer:       b

Step-by-step explanation:

can someone pls help im rlly bad at circle graphs i will give brainliest!!

Answers

The answer is 87

Explanation:
there are 150 students
If you add 28% from spaghetti and 30% from pizza you get 58%

now, 58% is 0.58 in decimal form, so then you multiply 150 times 0.58, and there is your answer! I hope this helped!
16 students

30+28=58
12+18+12=42

58/150 42/150
58-42=16

Solve for x
Equation: 3x+11≤-10

Answers

Answer:

x <= -7

Step-by-step explanation:

3x+11 <= -10

3x <= -21

x <= -7

Hope this helps you!

Answer:

x<=-7

Step-by-step explanation:

Please help me with this volume problem!♪☂♧(^.^)

Answers

Answer:

C

Step-by-step explanation:

please help me someone :

Answers

Answer:

First one is 44

Second is 24

Step-by-step explanation:

Divide it to small rectangle and find area then add together

answer to question:

8) 44cm^2

9) 27cm^2

please help
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v
im just tryna fill space for the 20 required character in a question please help

Answers

Answer:

125.6m^2

Step-by-step explanation:

Let R be the greater radius and r be the smaller radius

Area of the sidewalk = R^2 - r^2 - This can be the expression

= 3.14

=(R^2-r^2)

=(11^2-9^2)

=(121-81)

= 40

= 3.14 x 40

What type of function is described by the equation y=3+x?

Answers

It’s D, I graphed on a calculator and the line was straight
D because x doesn’t have any other exponents

A box of popcorn is 3 inches wide, 4 inches long, and 6 inches high. The box is half empty. What is the volume of popcorn left in the box?

Answers

Answer:

36

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

I need help ASAPP, I did the graph for part b for number 7 but part A and part C I don’t understand.
I need help with numbers 1,2,3,4,5,6, 7 part A and 7 part C. NO LINKS!!!! PLEASE HELP I WILL GIVE BRAINIEST!

Answers

1. what you have is correct

2. (6,6)

3. (-3, -5)

4. A' B'

5. C'

6. the original image was translated 6 units down and 9 units to the left

7. Vertex P is translated 8 units down and 2 units to the right

A coin is tossed at the same time this spinner is spun

Answers

Answer:

a. heads              tails

  /  /  /  /           /  /   /  /

  1 2 3 4          1 2 3 4

b. there are a total of 8 different outcomes.

c.

1. 1:8

2. 2:8

3. 2:8

4. 2:8

5. 4:8

6. 3:8

Step-by-step explanation:

hope this helps. have a good day or night.

1. ) 1:8 2. ) 2:8 3. ) 2:8 4. ) 2:8 5.) 4:8 6. ) 3:8

plz help will give brainliest what is tan 330

Answers

−0.5773. i believe that it’s

Math Please Hurry Im smooth brain

Answers

Answer:

see below

Step-by-step explanation:

1. yes

2. no, 4.82 x 10^4

3, no, 9.9 x 10^-4

4. no, 3.6 x 10^6

5. yes

6. no, 7.8 x 10^-4

1 yes
2 no
3 no
4 no
5 yes

Enter the unknown number that makes the equation true. 75 + 3 x ☐ = 372

Answers

It would be 99 since 3 * 99 = 297 and 297 + 75 = 372
The answer is 99 I think

6. Find the volume of the sphere shown, giving your answer correct to 2 decimal places.

Answers

Answer:24,825.85

V:4/3x3.14xr^3

V:4/3x3.14x5,929.741

V:4/3x18,619.38674

V=24,825.84898

The Volume is approximately 24,825.85

I did the math as well, and it was 24,825.85

help PLS i put you in brainlist

Answers

Answer:

1. 45 + 18

2. 77 - 35

3. 22 - 7

4. 94 + 56

5. 88 + 41

6. 43 - 29

7. 68 - 55

8. 1 + 67

9. 27 + 72

10. 97 - 93

11. 34 - 2

12. 42 + 80

hope this helps

Answer:

1. 45 + 18

2. 77 - 35

3. 22 - 7

4. 94 + 56

5. 88 + 41

6. 43 - 29

7. 68 - 55

8. 1 + 67

9. 27 + 72

10. 97 - 93

11. 34 - 2

12. 42 + 80

Step-by-step explanation:

How is unit rate related to the linear equation?

Answers

Answer:

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/cc-8th-graphing-prop-rel/v/graphing-proportional-relationships-example

Step-by-step explanation:

Answer:

A proportional relationship between two quantities is one in which the two quantities vary directly with one and other. If one item is doubled, the other, related item is also doubled. Because of this, it is also called a direct variation. The equations of such relationships are always in the form y = mx , and when graphed produce a line that passes through the origin. In this equation, m is the slope of the line, and it is also called the unit rate, the rate of change, or the constant of proportionality of the function.

Calculate the area of each shape below. Figures are not drawn to scale.

Answers

Don’t click that persons link . To find an area of a square you do lxw but for triangle you do lxw divided by 2 so .12x12=144 and 13x5=65 I would divide by 2 but since there’s 2 triangles you don’t have to. So 144+65=209 so the answer is 209ft

Answer:

triangle 1: 30

triangle 2: 30

rectangle: 144

Step-by-step explanation:

triangle 1: (12*5)/2

triangle 2: (12*5)/2

rectangle: 12*12 = 144

Which name applies to the angle pair at the right?

A. supplementary
B. straight
C. complementary
D. vertical
plz help i beg i will give 20 points i will give brainlist too

Answers

Answer:

C or Complementary

Step-by-step explanation:

Complementary Angles are 2 or more angles that add up to make 90° angle also known as right angle.

Hope this helps! Good Luck!

Average winter temperatures in 45 states were recorded and divided by geographic region. Choose True or False for each statement below

Answers

This will be false because that’s not the average winter temperatures in 45 states
False please give me brainlest

The cost of donuts in Dunkin Donuts is directly proportional to the number of donuts purchased. Justin paid $5.04 for 7 donuts. If c represents the cost, in dollars, and d represents the number of donuts purchased, which equation best represents this relationship?

Answers

Answer:

Step-by-step explanation:

5.04=c*d

5.04=c*7

÷7        ÷7

c=.72

i hope that I didn’t read it wrong.

Answer:

5.04=c*d

5.04=c*7

÷7        ÷7

c=.72

Step-by-step explanation:

Find the area of the trapezoid

Answers

Answer:

Please the attached file for the answer. I hope that helps

It’s 40.5 :))) hope this helps

The lengths of the legs of a right triangle are 9 feet and 12 feet. What is the length, in feet, of the third side of the triangle?
A. 21
B. 15
C. 10.5
D. 7.9

Answers

Twenty one feet long
I’m not sure but I think the answer is 21. Hope this can help, tell me if got it wrong I’m sorry if I got it wrong

Solve the given equation.



6p = 72

Answers

the answer is p=12....

6p=72

divide by 6 on each side

and get p=12

hope this helps

A wall in a classroom has a length of 16 ft and a diagonal of 20 ft. A student is painting a rectangular mural on the wall. The mural has a length of 6 ft and a diagonal of 10 ft. What is the difference between the width of the wall and the width of the mural?
ill mark you brainliest pls help!
Answer choices:
A. 2ft
B. 4ft
C. 10ft
D. 14ft

Answers

Answer:

B. 4 ft

Step-by-step explanation:

First, find the width of the wall.

The length, width, and diagonal form a right triangle, where the diagonal is the hypotenuse and the length and width are the 2 legs.

Use the pythagorean theorem and solve for a, the width of the wall.

a² + b² = c²

a² + 16² = 20²

a² + 256 = 400

a² = 144

a = 12

So, the width of the wall is 12 feet.

Solve for the width of the mural. Again, the diagonal, length, and width form a right triangle.

Use the pythagorean theorem again and solve for a, the width of the mural:

a² + b² = c²

a² + 6² = 10²

a² + 36 = 100

a² = 64

a = 8

So, the width of the mural is 8 feet.

Now, find the difference between the widths of the wall and mural:

12 - 8

= 4

So, the difference between the two widths is B. 4 ft

Answer is...B 4 ft....

Types of submarines and the depths are below sea level they can safely reach are down below are shown in the table below. (The photo)


Which two types of submarines can reach depths farthest from sea level?

A) Pleasure, Military

B) Scientific, Alternative Propulsion

C) Alternative Propulsion, Military

D) Guided Missile, Scientific

Answers

Answer:

D

Step-by-step explanation:

The greatest, farthest depths listed are the Guided Missile and Scientific submarines' depths, 850 and 925 feet. So, The answer is D, Guided Missile and Scientific.

Good luck ^^ Hope this helps :)

D the picture explains
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