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
timurjin [86]
3 years ago
8

If X = 4 units, Y = 3 units, and Z = 6 units, then what is the surface area of the right triangular pyramid shown above?

Mathematics
1 answer:
zepelin [54]3 years ago
6 0

Answer:

C. 42

Step-by-step explanation:

<em>Since the triangle making up the base of the right triangular pyramid is equilateral, the three lateral triangles will have equal areas. To find the surface area of the pyramid, find the area of one of the lateral triangles and multiply it by 3. Then, add that to the area of the triangle that forms the base.</em>

<em>Area of Lateral Triangle = 1/2 · base · height</em>

<em>                                        = 1/2 · X · Z</em>

<em>                                       = 1/2 ·  4 units ·  6 units</em>

<em>                                       = 12 square units</em>

<em>Area of Base Triangle = 1/2 ·  base ·  height</em>

<em>                                     = 1/2 ·  X ·  Y</em>

<em>                                     = 1/2 ·  4 units ·  3 units</em>

<em>                                    = 6 square units</em>

<em>Now, use the method described above to find the surface area of the pyramid.</em>

<em>Surface Area = 3( Area lateral ) + ( Area base )</em>

<em>                      = 3 ( 12 square units ) + ( 6 square units )</em>

<em>                     = 42 square units</em>

You might be interested in
Which of the following is a solution of the system 2x + y = 9 and 3x + 5y = 19.​
Nezavi [6.7K]

2x+y=9

3x+5y=19

I will do this problem in 2 ways. I.)Substitution II.)Elimination

Solution I.) Substitution

We can subtract 2x from both sides in the first equation.

y=9-2x

Now we can substitute the y in the second equation with 9-2x

3x+5(9-2x)=19

-7x+45=19

-7x=-26

x=26/7

y=9-2(26/7)=11/7

Solution II.)Elimination

We can multiply both side of first equation by 5 to get a 5y in both equations.

10x+5y=45

Now because both are positive 5y we just need to do simple subtraction of the 2 equation, each side respectively.

(10x+5y)-(3x+5y)=45-19

7x=26

x=26/7

2*26/7+y=9

y=11/7

Ultimately you get the same answer, both are viable methods, some problems are faster with one method but I recommend mastering both since they are very useful.

4 0
2 years ago
What type of graph are you most likely to use if you are comparing 2 quantitative continuous variables.
givi [52]
The answer would be a histogram. It is an accurate display of numerical data. It shows the basic frequency distribution or shape of a data. We know that continuous data are measured on a scale or continuum (for example: weight or test scores). Histograms are useful for displaying continuous data.
7 0
3 years ago
How many boys are in the sculpting class ? Plz plz help asap ?
elena-14-01-66 [18.8K]
6 boys, ratio is boy:girl 2:3
3 0
3 years ago
What is the weight of the plane with 81 gallons of fuel in its tanks?
JulijaS [17]
The weight of a plane with 81 gallons of fuel in the tank is about 44 tons
3 0
3 years ago
D(n) = -5 (1/2)n-1<br> What is the 3rd term in the sequence?
jonny [76]

Answer:

-5

Step-by-step explanation:

dₙ = -5 (1/2)n-1

the 3rd term in the sequence means n = 3

d₃ = -5(1/2)(3-1) = -5(1/2)(2) = -5

3 0
3 years ago
Read 2 more answers
Other questions:
  • Suppose that the population of a town Increases by 3% each year. the population of the town today is 25,000
    15·1 answer
  • Jordan has 9 dimes and some quarters in her pocket. The value of her coins is $3.65. Which equation
    11·2 answers
  • can someone do my ixl its 6th grade math!! only 3 and you have to get 85 and higher i will give 25 points!! and mark as brainlis
    5·2 answers
  • Where is the red dot located?
    5·2 answers
  • Help me with this I was trying to figure this out for half an hour /4rth grade Go math
    12·1 answer
  • Which equation can be represented using the number line?​
    8·2 answers
  • Which quantity is proportional to 15⁄3?
    7·2 answers
  • What is the range of the data below?<br> —<br> —<br> 50<br> 60<br> 70<br> 80<br> 90<br> 100<br> оооо
    10·2 answers
  • Can someone explain to me how to do this math question? :)
    15·2 answers
  • A recipe for lemonade called for 1 cup of sugar and 5cups of water.How much sugar is used per cup of water
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!