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
arsen [322]
3 years ago
12

Find the surface area of the composite figure​

Mathematics
2 answers:
allsm [11]3 years ago
8 0

9514 1404 393

Answer:

  224 in²

Step-by-step explanation:

There are a couple of ways to go at this. Here, we choose to figure the areas of each of the prisms individually, then subtract the "hidden" area where they are joined together.

The area of a prism is ...

  A = 2(LW +H(L+W))

Pink area:

  A = 2(10·4 +2(10+4)) = 2(40 +28) = 136 . . . square inches

Green area:

  A = 2(7·4 +4(7+4)) = 2(28 +44) = 144 . . . square inches

One 4 in × 7 in face of the green prism meets with a similar area of the pink prism, so the area hidden at that interface is 2(4·7) = 56 square inches. Then the total surface area of the composite figure is ...

  SA = 136 in² +144 in² -56 in² = 224 in²

Gnoma [55]3 years ago
6 0

Answer:

=280 in^2

Step-by-step explanation:

----------------------------------------

Let's find the surface area of the pink rectangular prism first.

2*10=20+20=40

4*10=40+40=80

4*2=8+8=16

40+80+16=136

The surface area for the pink rectangular prism is 136 in^2.

-------------------->>>>>

Now, let's find the surface area of the green rectangular prism.

4*7=28+28=56

4*7=28+28=56

4*4=16+16=32

56+56+32=144

The surface area for the green rectangular prism is 144 in^2.

-------------------->>>>>

Now let's add the surface area of both rectangular prisms to find the surface area of the composite figure.

136+144=

=280 in^2

----------------------------------------

Hope this is helpful.

You might be interested in
Help needed thanks it greatly appretiated
Ivan

c is the correct answer of this question

5 0
2 years ago
Read 2 more answers
14k²+49k+21 factorise<br>​
irina [24]

Answer:

(2k+1)(k+3)

Step-by-step explanation:

14k²+49k+21

simplify by dividing the whole equation by 7

2k²+7k+3

factorise

(2k+1)(k+3)

6 0
3 years ago
100 points , please help. I am not sure if I did this correct if anyone can double-check me thanks!
Nookie1986 [14]

Step-by-step explanation:

\lim_{n \to \infty} \sum\limits_{k=1}^{n}f(x_{k}) \Delta x = \int\limits^a_b {f(x)} \, dx \\where\ \Delta x = \frac{b-a}{n} \ and\ x_{k}=a+\Delta x \times k

In this case we have:

Δx = 3/n

b − a = 3

a = 1

b = 4

So the integral is:

∫₁⁴ √x dx

To evaluate the integral, we write the radical as an exponent.

∫₁⁴ x^½ dx

= ⅔ x^³/₂ + C |₁⁴

= (⅔ 4^³/₂ + C) − (⅔ 1^³/₂ + C)

= ⅔ (8) + C − ⅔ − C

= 14/3

If ∫₁⁴ f(x) dx = e⁴ − e, then:

∫₁⁴ (2f(x) − 1) dx

= 2 ∫₁⁴ f(x) dx − ∫₁⁴ dx

= 2 (e⁴ − e) − (x + C) |₁⁴

= 2e⁴ − 2e − 3

∫ sec²(x/k) dx

k ∫ 1/k sec²(x/k) dx

k tan(x/k) + C

Evaluating between x=0 and x=π/2:

k tan(π/(2k)) + C − (k tan(0) + C)

k tan(π/(2k))

Setting this equal to k:

k tan(π/(2k)) = k

tan(π/(2k)) = 1

π/(2k) = π/4

1/(2k) = 1/4

2k = 4

k = 2

8 0
3 years ago
A researcher decides to determine if the type of writing utensil that a student uses while doing their math affects their accura
alexandr1967 [171]

Since the variable type of writing utensil assumes labels and not numbers, it is classified as qualitative.

<h3>What are qualitative and quantitative variables?</h3>
  • Qualitative variables: Assumes labels or ranks.
  • Quantitative variables: Assume numerical values.

In this problem, the type of writing utensil has 4 labels: regular pencil, mechanical pencil, pen, whatever.

Hence, since the variable assumes labels and not numbers, it is classified as qualitative.

More can be learned about quantitative and qualitative variables at brainly.com/question/20598475

5 0
2 years ago
Which sum represents the partial fraction decomposition of 8x^ 4 + 3x^3- 115x^2- 39x+200/ 3x (x^2-10)^2
Sever21 [200]

Answer:It's the last option again. You have 1 linear factor (3x) and 2 copies of a quadratic factor (x² + 10), and the partial fractions with the quadratic factor need to have a linear polynomial in the numerator.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Problem 4: Let F = (2z + 2)k be the flow field. Answer the following to verify the divergence theorem: a) Use definition to find
    5·1 answer
  • Determine whether the following function is linear or quadratic. Identify the quadratic, linear, and constant terms. f(x)=3x(x−1
    9·1 answer
  • Write and solve an equation to find the value of x. <br>helpppppppppppp meeeeeeeee
    13·1 answer
  • How can you evaluate this expression using the distributive property?<br> 5×(7+6)
    8·2 answers
  • Find the area of triangle PQR if PQ = QR = 12 and angle PQR = 120
    5·1 answer
  • An angle measures 42° more than the measure of its supplementary angle. What is the measure of each angle?
    5·1 answer
  • Which is an x-intercept of the continuous function in the table?
    15·2 answers
  • 4m + 7 = -3m + 49 what does this
    8·2 answers
  • Help please!! Can you show work so I can understand it!
    11·1 answer
  • Use the table to find the COORDINATES of the image ​
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!