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
Sliva [168]
3 years ago
6

What is the surface area of the triangular prism?

Mathematics
1 answer:
Anna71 [15]3 years ago
6 0

Answer:

72 ft²

Step-by-step explanation:

Calculate the area of each face and then sum them.

area of base = 4 × 5 = 20 ft²

area of back = 5 × 3 = 15 ft²

area of sloping face = 5 × 5 = 25 ft²

area of 2 triangular faces = 2 × \frac{1}{2} × 4 × 3 = 4 × 3 = 12 ft²

Thus

surface area = 20 + 15 + 25 + 12 = 72 ft²

You might be interested in
Is this triangle acute, right, or obtuse?
Elza [17]

Answer:

acute

Step-by-step explanation:

every angle is under 90 degrees

7 0
3 years ago
Read 2 more answers
18. cos t(sec t - cos t)
Margarita [4]
\bf sin^2(\theta)+cos^2(\theta)=1\implies sin^2(\theta)=1-cos^2(\theta)\\\\
sec(\theta)=\cfrac{1}{cos(\theta)}
\\\\
-----------------------------\\\\
cos(t)[sec(t)-cos(t)]\implies cos(t)sec(t)-cos(t)cos(t)
\\\\\\
cos(t)\cdot \cfrac{1}{cos(t)}-cos^2(t)\implies 1-cos^2(t)\implies \boxed{sin^2(t)}
8 0
3 years ago
What is 2x =6.5<br><br> And how
Leona [35]

Answer:

Step-by-step explanation:

2x =6.5

To find the value of x, divide both sides by 2 so you will have 1x.

x = 3.25

8 0
2 years ago
Read 2 more answers
I need to answer for the parentheses
rewona [7]

Answer:

(4x+2) +(3x+4)

Step-by-step explanation:

2(6x²+11+4)

(6x+3)+(3x+4)

12x²+16x+6x+8

12x²+22x+8

let me know if this helps guys my husband helped me with it he is good at math

6 0
3 years ago
The radius of a cylinder is 7 c m and its height is 10 c m. Find curved surface area and volume.​
erma4kov [3.2K]

Answer:

  • CSA of the cylinder = 440 sq. cm

  • Volume of the cylinder = 1540 cu. cm

\\

Step-by-step explanation:

Given:

  • Radius of the cylinder = 7 cm
  • Height of the cylinder = 10 cm

\\

To Find:

  • Curved surface area
  • Volume

\\

Solution:

\\

Using formula:

\dashrightarrow \:  \:  { \underline{ \boxed{ \pmb{ \sf{ \purple{CSA  \: of  \: cylinder = 2\pi rh}}}}}}  \:  \star \\  \\

<em>Substituting the required values: </em>

\\

\dashrightarrow \:  \:  \sf CSA {(cylinder)} = 2 \times \dfrac{22}{7} \times 7 \times  10 \\  \\  \\  \dashrightarrow \:  \:  \sf CSA {(cylinder)}  = 2 \times 22 \times 10 \\  \\ \\   \dashrightarrow \:  \:  \sf CSA {(cylinder)} = 44 \times 10 \\  \\  \\  \dashrightarrow \:  \:  \sf CSA {(cylinder)}  = 440 \:  {cm}^{2}  \\ \\ \\

Now,

\dashrightarrow \:  \:  { \underline{ \boxed{ \pmb{ \sf{ \purple{Volume {(cylinder)}=  \pi {r}^{2} h}}}}}}  \:  \star \\  \\ \\

<em>Substituting the required values, </em>

\\

\dashrightarrow \:  \:   \sf Volume {(cylinder)}=  \dfrac{22}{7}  \times  {(7)}^{2}  \times 10 \\ \\  \\  \dashrightarrow \:  \:   \sf Volume {(cylinder)}=  \frac{22}{7}  \times 49  \times 10 \\ \\ \\  \dashrightarrow \:  \:   \sf Volume {(cylinder)}= 22 \times 7 \times 10 \\ \\  \\  \dashrightarrow \:  \:   \sf Volume {(cylinder)}= 1540 {cm}^{3}  \\ \\ \\

Hence,

  • CSA of the cylinder = 440 sq. cm

  • Volume of the cylinder = 1540 cu. cm
8 0
2 years ago
Read 2 more answers
Other questions:
  • Rewrite the following equation in standard form.<br><br> y + 2 = -8(x + 6)
    9·1 answer
  • The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph
    8·2 answers
  • Ling lives 2 miles from school. It took him 15 minutes to bike from school to home. The first half of the distance he biked at a
    8·2 answers
  • Joey is riding his bike through the desert. Joey recorded his distance traveled at five different points during his bike ride. T
    10·1 answer
  • If $5,000 is borrowed at a simple interest rate of 4.70% p.a., calculate the interest charged for 7 months.
    7·1 answer
  • Need urgent help if possible
    11·2 answers
  • I will give brainliest&lt;3
    9·2 answers
  • What expression is equivalent to 6(x+2y) + 3 + 4y + 5
    9·1 answer
  • The absolute value inequality equation |2x – 1| &gt; 3 will have what type of solution set?
    13·1 answer
  • Sofia planted a maple tree sapling that was 5.5 inches tall. The tree grew 10 inches each year. Write an equation that shows how
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!