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
Scrat [10]
3 years ago
15

The area of the base (B) of a triangular pyramid is 28 cm. The perimeter (p) is 20 cm, and the slant height (S) is 5 cm. Determi

ne the pyramid's surface area.
Mathematics
1 answer:
kenny6666 [7]3 years ago
5 0

Answer:

The pyramid's surface area is 78 square centimeters

Step-by-step explanation:

The formula of the surface area of a pyramid is S.A = A + \frac{1}{2} p s, where

  • A is the area of its base
  • p is the perimeter of its base
  • s is the slant height of it

∵ The area of the base of a triangular pyramid is 28 cm²

∴ A = 28 cm²

∵ The perimeter of the base is 20 cm

∴ p = 20 cm

∵ The he slant height is 5 cm

∴ s = 5 cm

- Substitute these values in the formula of the surface area

   above to find it

∵ S.A = 28 + \frac{1}{2} (20)(5)

∴ S.A = 28 + 50

∴ S.A = 78 cm²

The pyramid's surface area is 78 square centimeters

You might be interested in
A Gallup Poll in July 2015 found that 26% of the 675 coffee drinkers in the sample said they were addicted to coffee. Gallup ann
emmasim [6.3K]

Answer:

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A confidence interval has two bounds, the lower and the upper

Lower bound:

\pi - M

Upper bound:

\pi + M

In this problem, we have that:

\pi = 0.26, M = 0.05

Lower bound:

\pi - M = 0.26 - 0.05 = 0.21

Upper bound:

\pi + M = 0.26 + 0.05 = 0.31

The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.

4 0
3 years ago
Find the area of the shape below
maks197457 [2]

Answer:

204 ft^2

Step-by-step explanation:

<u>triangle on the left</u>:

A= l x w x 1/2

A = 12 x 5 x 1/2

A = 30 ft^2

<u>triangle on the right</u>:

Same thing

A = 30 ft^2

<u>square in the middle</u>:

A = l x w

A = 12 x 12

A = 144 ft^2

<u>Add them up</u>:

30 + 30 + 144 = 204 ft^2

3 0
2 years ago
Evan buys some oranges. He gives 1,2 or 3 oranges to April. He has5 oranges left . Draw pictures and write a number sentence to
stiv31 [10]

Answer:

6, 7 or 8 oranges

Step-by-step explanation:

8 0
3 years ago
A customer enters an order to buy 1,000 abc at 50, good for the week only. how will this order appear on the order book?
marysya [2.9K]

This isn't math.

GTW means good this week, so choice b.

Don't ever put in GTW orders; it's pretty much asking to be robbed.

5 0
3 years ago
Read 2 more answers
Line FG contains points F (3,7) and G (-4,-5) line HI contains points (-1,0) and I (4,6) lines FG and HI are. ?
ludmilkaskok [199]
FG : (3,7)(-4,-5)
slope = (-5 - 7) / (-4-3) = -12/-7 = 12/7

y = mx + b
slope(m) = 12/7
(3,7)...x = 3 and y = 7
now we sub, we r looking for b, the y int
7 = 12/7(3) + b
7 = 36/7 + b
7- 36/7 = b
49/7 - 36/7 = b
13/7 = b
so ur equation is : y = 12/7 + 13/7.....slope = 12/7, y int = 13/7

HI : (-1,0)(4,6)
slope = (6 - 0) / (4 - (-1) = 6/5

no need to go any farther.....these lines have different slopes...and their not negative reciprocals....so there will be one solution. Answer is : neither.
7 0
2 years ago
Read 2 more answers
Other questions:
  • Shanika makes 2800 milliliter of chicken soup for dinner party. She needs 3.5 liters. How many more milliliter a does shaninka n
    6·1 answer
  • What is 5.921 to the nearest hundredth
    9·2 answers
  • I need help with this question thx​
    13·2 answers
  • it's raining outside and after 1 hour of rain the water level inJake's pond is 2 meters after 3 hours the water level is 2.8 met
    11·1 answer
  • What are the 2 steps that are wrong
    12·2 answers
  • Solve:
    6·2 answers
  • Which table has a constant of proportionality between y and x of 8/5
    12·1 answer
  • Can soemone help meee ):
    11·1 answer
  • Explain what operation can be used to solve the equation 3.5n=10.5. What is the value of n
    12·1 answer
  • _+_+_= 30<br> Use only<br> 1,3,5,7,9,11,13,15<br> You can repeat it
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!