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
balandron [24]
2 years ago
13

Is the ans i got correct?the total surface area is 33.8cm² ​

Mathematics
1 answer:
ElenaW [278]2 years ago
8 0

Given:

A prism with height 5 cm and equilateral triangular base with side 2 cm.

To find:

The total surface area of the prism.

Solution:

Area of an equilateral triangle is:

A_1=\dfrac{\sqrt{3}}{4}a^2

Where, a is the side length.

Putting a=2, we get

A_1=\dfrac{\sqrt{3}}{4}(2)^2

A_1=\dfrac{\sqrt{3}}{4}(4)

A_1=\sqrt{3}

A_1\approx \sqrt{3}

The base and top of the prism are congruent so their area must be equal.

The lateral surface area of the prism is:

LA=Ph

Where, P is the perimeter of the base and h is the height of the prism.

The lateral surface area of the prism is:

A_2=(2+2+2)5

A_2=(6)5

A_2=30

Now, the total surface area is the sum of areas of bases and lateral surface area.

A=2A_1+A_2

A=2(1.73)+30

A=3.46+30

A=33.46

Therefore, the total surface area is 33.46 cm².

You might be interested in
Solve 4(t+1) = 6 - 1.<br> (A) 2<br> (B) 1<br> (C) O<br> (D) 1]
tia_tia [17]

Answer: a 2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
The following statements is are true regarding the figure above​
Andreyy89

Answer:

a and b

Step-by-step explanation:

it is a point and a point is a zero demensional object.

7 0
3 years ago
Read 2 more answers
Andrea ran 400 meters in gym class How many cm. did she run
aliya0001 [1]
1 m = 100 cm

Multiply:

100 * 400 = 40000

So she ran 40,000 centimeters.
7 0
2 years ago
Help!!! EASY!!! HELP DUE SOON!!!
Alinara [238K]
4 + 3 + 2 = 9
18/9 = 2

3 x 2 = 6

Answer = 6
3 0
3 years ago
A manufacturer produces piston rings for an automobile engine. It is known that ring diameter is normally distributed with σ=0.0
oksian1 [2.3K]
<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

\overline{x}\pm z^* SE                   (1)

, where \overline{x} = sample mean

z* = critical value.

SE = standard error

and SE=\dfrac{\sigma}{\sqrt{n}} , \sigma = population standard deviation.

n= sample size.

As per given , we have

\overline{x}=74.021

\sigma=0.001

n= 15

It is known that ring diameter is normally distributed.

SE=\dfrac{0.001}{\sqrt{15}}=0.000258198889747\approx0.000258199

By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 99% two-sided confidence interval on the true mean piston diameter :

74.021\pm (2.576) (0.000258199)     (using (1))

74.021\pm 0.000665120624

74.021\pm 0.000665120624\\\\=(74.021- 0.000665120624,\ 74.021+ 0.000665120624)\\\\=(74.0203348794,\ 74.0216651206)\approx(74.020,\ 74.022)  [Rounded to three decimal places]

∴  A 99% two-sided confidence interval on the true mean piston diameter  = (74.020, 74.022)

By z-table ,

The critical value for 95% confidence  = z*= 1.96

A 95% lower confidence bound on the true mean piston diameter:

74.021- (1.96) (0.000258199)    (using (1))

74.021- 0.00050607004=74.02049393\approx74.020 [Rounded to three decimal places]

∴  A 95% lower confidence bound on the true mean piston diameter= 74.020

7 0
3 years ago
Other questions:
  • Suppose you purchase a bundle of 18 bare-root broccoli plants. The sales clerk tells you that on average you can expect 8% of th
    5·1 answer
  • The water level at Lake Penny changed −1 1/10 in. this year. Next year, it is predicted to change another −1 2/5 in.
    11·1 answer
  • A line has a slope of 1/11 and a y-intercept of -19. What is its equation In slope-intercept form​
    11·1 answer
  • 2.1n -5.31 = 18 <br> Question : Find n <br> Pls Answer !!
    10·2 answers
  • Elijah has 1/2 bag of candy. A bag of candy weight 5 pounds of candy does Elijah have? Pounds of candy. Part A
    15·1 answer
  • Suppose that $5500 is placed in an account that pays 2% interest compounded each year.
    6·1 answer
  • What is the domain of <br> f<br> g<br> (x)?<br> f(x)=x+5<br> g(x)=4x
    15·1 answer
  • Find the length of side AB. Round your answer to the nearest tenth:
    15·1 answer
  • Use multiplication to solve the following problems.
    5·1 answer
  • A conjecture and the two-column proof used to prove the conjecture are shown.
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!