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
sesenic [268]
3 years ago
5

Can someone find the surface area of the composite shape and show work! I’ll give 30pts! Thanks!

Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

Answer:

382 cm²

Step-by-step explanation:

The shape can be decomposed into two rectangular prism or cuboids

✔️Dimension of prism 1 (smaller prism):

L = 10 cm

W = 3 cm

H = 7 - 4 = 3 cm

Surface area of prism 1 = 2(LW + LH + WH)

= 2(10*3 + 10*3 + 3*3)

= 2(69)

Surface area of prism 1 = 138 cm²

✔️Dimension of prism 2 (larger prism):

L = 10 cm

W = 8 cm

H = 4 cm

Surface area of prism = 2(LW + LH + WH)

= 2(10*8 + 10*4 + 8*4)

= 2(152)

Surface area of prism 2 = 304 cm²

✅Surface Area of the composite shape = (Surface area of prism 1 + surface area of prism 2) - (2 × area of the base of prism 1)

= (138 + 304) - (2 × L × W)

= 442 - (2 × 10 × 3)

= 442 - 60

= 382 cm²

You might be interested in
Pre Cal | Multiple Choice | Apex
Contact [7]

Ellipse is your answer, because if you plug the equation into a graphing calculator and identify the conic, the term ellipse is given-

5 0
3 years ago
Please help asap 30 pts
Dmitry [639]
C: 12/35a^3

2 multiplied by 6 is 12.
5 multiplied by 7 is 35.
a^1+a^2=a^3.
7 0
3 years ago
Read 2 more answers
The graph of the function b is a vertical translation of the graph of ()=, and has a y‑intercept of 0. How does the graph of ()=
pochemuha

Answer:

0

Step-by-step explanation:

7 0
3 years ago
A simple random sample of size nequals40 is drawn from a population. The sample mean is found to be 103.9​, and the sample stand
yan [13]

Answer:

There is enough evidence to support the claim that the population mean is greater than 100

Step-by-step explanation:

<u>Step 1</u>: We state the hypothesis and identify the claim

H_0:\mu=100 and H_1:\mu \:>\:100 (claim)

<u>Step 2</u>: Calculate the test value.

t=\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }

\implies t=\frac{103.9-100}{\frac{21.9}{\sqrt{40} } }=1.1263

<u>Step 3</u>: Find the P-value. The p-value obtained from a calculator is using d.f=39 and test-value 1.126 is 0.134

<u>Step 4</u>: We fail to reject the null hypothesis since P-value  is greater that the alpha level. (0.134>0.05).

<u>Step 5</u>: There is enough evidence to support the claim that the population mean is greater than 100.

<u>Alternatively</u>: We could also calculate the critical value to obtain +1.685 for \alpha=0.05 and d.f=39 and compare to the test-value:

The critical value (1.685>1.126) falls in the non-rejection region. See attachment.

NB: The t- distribution must be used because the population standard deviation is not known.

5 0
3 years ago
In a lab experiment, 60 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to doub
Levart [38]

Answer:

17.5 hours

Step-by-step explanation:

107 = 60(2^n)

n(lg2) = lg(107/60)

n = 0.8345763908 × 21

n = 17.52610421 hours

7 0
3 years ago
Other questions:
  • Mrs. Steward needs to save (4.2 X 10^6) dollars for her children's college education. If she can save (1.4 X 10^2) each month, h
    10·1 answer
  • -18+6-40 please help
    14·2 answers
  • Estimate the square root to the nearest tenth.<br> 0.39<br> The square root is approximately
    9·1 answer
  • What decimal is equivalent to 2x100+3x10+4x1+5x(1/10)+6x((1/10)+7x(1(/1000)
    12·1 answer
  • A graph of a system of two linear equations that have different slopes have how many solutions
    7·2 answers
  • What is 7,599 divided 17.
    10·1 answer
  • -1.9 x -4.5 x -5.2 = ?
    12·1 answer
  • There are 36 dinosaurs pictured in Karmita's book. If 2/3 of them were plant eaters, how many were plant eaters.
    14·1 answer
  • (4, 2); slope = 3<br> How do you do this problem and show work
    15·1 answer
  • PLS HELP IM TIMED
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!