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
Juliette [100K]
2 years ago
15

Find the total surface area of this triangular prism. 17 cm 8 cm 2 cm 15 cm

Mathematics
1 answer:
kumpel [21]2 years ago
8 0

Answer:

<em> 200cm²</em>

Step-by-step explanation:

Total surface area of the prism = bh + L(s1+s2+s3)

b is the base of the triangle = 15cm

h is the height of the triangle = 8cm

Perimeter of the triangular base = s1 + s2 + s3 = 8+17+15

Perimeter of the triangular base = 40cm

L is the lateral height = 2cm

Substitute the given values into the formula;

Total surface area of the prism = 15(8) + 2(40)

Total surface area of the prism = 120+80

Total surface area of the prism  = 200cm²

<em>Hence the total surface area of the prism is 200cm²</em>

You might be interested in
An observer (O) spots a bird flying at a 35° angle from a line drawn horizontal to its nest. If the distance from the observer (
lara [203]

It’s NOT 16,980

I just took the test

5 0
2 years ago
What is the antiderivative of 3x/((x-1)^2)
Maslowich

Answer:

\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C

Step-by-step explanation:

Given

\int \:\:3\cdot \frac{x}{\left(x-1\right)^2}dx

\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx

=3\cdot \int \frac{x}{\left(x-1\right)^2}dx

\mathrm{Apply\:u-substitution:}\:u=x-1

=3\cdot \int \frac{u+1}{u^2}du

\mathrm{Expand}\:\frac{u+1}{u^2}:\quad \frac{1}{u}+\frac{1}{u^2}

=3\cdot \int \frac{1}{u}+\frac{1}{u^2}du

\mathrm{Apply\:the\:Sum\:Rule}:\quad \int f\left(x\right)\pm g\left(x\right)dx=\int f\left(x\right)dx\pm \int g\left(x\right)dx

=3\left(\int \frac{1}{u}du+\int \frac{1}{u^2}du\right)

as

\int \frac{1}{u}du=\ln \left|u\right|     ∵ \mathrm{Use\:the\:common\:integral}:\quad \int \frac{1}{u}du=\ln \left(\left|u\right|\right)

\int \frac{1}{u^2}du=-\frac{1}{u}        ∵     \mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1},\:\quad \:a\ne -1

so

=3\left(\ln \left|u\right|-\frac{1}{u}\right)

\mathrm{Substitute\:back}\:u=x-1

=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)

\mathrm{Add\:a\:constant\:to\:the\:solution}

=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C

Therefore,

\int \:3\cdot \frac{x}{\left(x-1\right)^2}dx=3\left(\ln \left|x-1\right|-\frac{1}{x-1}\right)+C

4 0
3 years ago
1. When two lines cross, the opposite angles are ___________ angles and are congruent. *
schepotkina [342]

Answer:

1. vertical angles

2. Adjacent angles

3. Supplementary angles

Step-by-step explanation:

4 0
2 years ago
Solve 3-x/2≥15 <br> A.x ≤ -24 <br> B.x ≤6<br> C.x ≥ -24<br> D.x ≥ -6
krek1111 [17]
What she said hope that helps
7 0
3 years ago
How to do lond division 0.6÷0.0024
Kryger [21]
So...notice first off, the 0.6 has 1 decimal, the 0.0024 has 4 decimals

what happens is, the dot goes poof BUT, you need to add as many zeros to each number as the other's decimals.

the 0.6 has one decimal, so 0.0024 gets an added zero and loses the dot, to become 000240.

the 0.0024 has four decimals, thus the 0.6 gets added 4 zeros then, and loses the dot, to become 060000

and then you divided that, those are the dividend and divisor.

3 0
3 years ago
Other questions:
  • Two children of mass 19 kg and 33 kg sit balanced on a seesaw with the pivot point located at the center of the seesaw. show ans
    9·1 answer
  • jon's car can travel an average of 35 miles per gallon. How many gallons will he need for a trip of 656 miles?
    14·1 answer
  • Which function has a simplified base of 4?<br><br>f(x) = 2<br>f(x) = 2<br>f(x) = 4<br>f(x) = 4
    11·1 answer
  • What number would complete the pattern 16 4 11 36 9 27 44 11
    7·1 answer
  • Explain how to multiply decimals by powers of 10. Use 8.653 x 10 3 as an example, to show how the multiplication is done.
    8·2 answers
  • Wat is (12+6-5*3)*(2*2+1-7+2)=
    12·2 answers
  • The median boiling temperature of the tap water is 100°C.The median boiling temperature of the salt water is 102°C. Which statem
    11·1 answer
  • 3-x&gt;2 or 4x+2&gt; 10 what is the graph of the solution to the following compound inequality
    12·1 answer
  • Explain the attributes that make a rhombus different from a rectangle
    13·1 answer
  • Scott makes $12 per hour babysitting and $8 per hour working at the grocery store. He will need to make
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!