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
kondor19780726 [428]
2 years ago
10

Pls help. i know the formulas, but i messed up my math.

Mathematics
2 answers:
inna [77]2 years ago
8 0

\bold{\huge{\underline{ Solution }}}

<h3><u>Given </u><u>:</u><u>-</u></h3>

  • Here, we have composite figure which is composed of 2 cuboids.
  • The dimensions of larger cuboid is 12cm, 7cm, 7cm
  • The dimensions of smaller cuboid is 7cm, 2cm , 2cm

<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>

  • We have to find the total surface area of the composite figure

<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>

Here,

The dimension of larger cuboid are

  • Length = 12cm
  • Breath = 7 cm
  • height = 7 cm

<u>We </u><u>know </u><u>that</u><u>, </u>

Lateral surface area of cuboid

\bold{\red{ = 2( lb + bh + hl)}}

<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>

\sf{ = 2[(7)(7) + (7)(12) +(7)(12) ]}

\sf{ = 2[   49 + 84 ]}

\sf{ = 2[ 49 + 168  ]}

\sf{ = 2[ 217 ]}

\bold{ = 434 cm^{2}}

<h3><u>Now</u><u>, </u></h3>

We have to find the lateral surface area of smaller cuboid

  • The dimensions of smaller cuboid are 7cm, 2cm and 2cm

<u>Therefore</u><u>, </u>

Lateral surface area of smaller cuboid

\sf{ = 2[(2)(7) + (7)(2) +(2)(2) ]}

\sf{ = 2[ 14 + 14 + 4  ]}

\sf{ = 2[ 28 + 4   ]}

\sf{ = 2[ 32]}

\bold{ = 64 cm^{2}}

<u>The </u><u>common </u><u>base </u><u>area </u><u>of </u><u>both </u><u>the </u><u>cuboids </u>

\sf{ = lb }{\sf{ + lb}}

\sf{ = 14 + }{\sf{ 14}}

\bold{ = 28 cm^{2}}

<h3><u>Now</u><u>, </u></h3>

The total surface area of the given composite figure

= SA of larger cuboid + SA of smaller cuboid - common base area

<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>, </u>

\sf{ = 434 + 64 - 28 }

\sf{ = 498 - 28  }

\bold{ = 470cm^{2}}

Hence, The surface area of composite figure is 470 cm² .

Studentka2010 [4]2 years ago
5 0

Answer:

470cm²

Step-by-step explanation:

SA= (12*7)*4+(7*7)*2+(2*2)*2+(7*2)*2

=336+98+8+28

= 470 cm²

Therefore, the surface ares is 470 cm².

~

You might be interested in
One Friday night, two large groups of people called Weston Taxi Service. The first group requested 2 sedans and 1 minivan, which
muminat

Answer:

Sedan: 4 passengers

Minivan: 6 passengers

Step-by-step explanation:

We can write the following system of equations:

\begin{cases}2s+1m=14 \\2s+2m=20\end{cases}, where s represents the number of people a sedan can seat and m represents the number of people a minivan can seat.

Subtracting the first equation from the second, we have:

2s+2m-(2s+1m)=20-14,\\\\m=6

Now plug in m=6 in any of the equations to solve for s:

2s+1(6)=14, \\2s=8, \\s=4

Verify that the solution pair (4, 6) works:

2(4)+1(6)=14\: \checkmark \\2(4)+2(6)=20 \: \checkmark

Therefore, a sedan can hold 4 passengers and a minivan can hold 6 passengers.

4 0
3 years ago
Giving brainliest to CORRECT answer.
gavmur [86]

Answer:

Graph A

Step-by-step explanation:

y =  {x}^{2}  - 6x - 7 \\ plug \: y = 0 \\  {x}^{2}  - 6x - 7 = 0 \\  {x}^{2}  - 6x + 9 = 7 + 9 \\ (x - 3)^{2}  = 16 \\ (x - 3) =  \pm 4 \\ x = 4 + 3 \: or \: x =  - 4 + 3 \\ x = 7 \: or \: x =  - 1

Its mean graph should intersect x axis at x = 7 and x = - 1. This everything is satisfied by graph A.

3 0
3 years ago
Read 2 more answers
Please help asap (images below)
pickupchik [31]
The first one is 6 1/6 feet
6 0
2 years ago
Read 2 more answers
True or false: Every sequence is either arithmetic or geometric. If this is true, explain. If false,
tiny-mole [99]

In an arithmetic sequence, the difference between consecutive terms is constant. In formulas, there exists a number r such that

a_{n+1}-a_n=r\quad \forall n\geq 1

In an geometric sequence, the ratio between consecutive terms is constant. In formulas, there exists a number r such that

\dfrac{a_{n+1}}{a_n}=r\quad \forall n\geq 1

So, there exists infinite sequences that are not arithmetic nor geometric. Simply choose a sequence where neither the difference nor the ratio between consecutive terms is constant.

For example, any sequence starting with

1, 15, -3,\ldots

Won't be arithmetic nor geometric. It's not arithmetic (no matter how you continue it, indefinitely), because the difference between the first two numbers is 14, and between the second and the third is -18, and thus it's not constant. It's not geometric either, because the ratio between the first two numbers is 15, and between the second and the third is -1/5, and thus it's not constant.

5 0
3 years ago
Two trucks leave a warehouse at the same time. one travels due west at an average speed of 49 miles per hour, and the other trav
Gre4nikov [31]

Well there can be two different solutions for this but i will choose the easier one. Obviously one requires a system of equations which obviously will involve a lot of thinking and some good algebra solving in order for them to solve.

So we can just keep adding the distance as we know they are in different directions. 49 + 65 = 114. So 114 * 4.5 = 513 miles. SO after around 4.5 hours they will be 513 miles apart.

4 0
3 years ago
Other questions:
  • Jason plans to invest $9,000 in an account at Union Bank. The annual rate is 3.78% compounded continuously. How much does Jason
    13·1 answer
  • Tommy can exchange 8 euros for 11 dollars.
    10·2 answers
  • Jared buys 3 pounds of chicken at $3.15 per pound and 1 pound of broccoli at $1.40 per pound. How much will it cost to make dinn
    11·1 answer
  • Beau’s recipe goes granola bars call for 3 1/2 of oatmeal . He only has 1/6 cup scoop. How many scoops of oatmeal will he need f
    14·2 answers
  • PLEASE HELP, it’s only one problem and it’s small
    7·1 answer
  • HELP ASAP! WILL GIVE THE POINTS TO THE PERSON WITH THE CORRECT ANSWER!
    13·1 answer
  • |x|= -5 (find the absolute value-ish answer)<br> I will give brainliest plz help!!!
    6·1 answer
  • Which expression gives the measure of XYZ?
    11·1 answer
  • Free brainliest for luck nonee ez kid ana
    6·2 answers
  • Find the difference. Write your answer as a decimal.<br> $5.5-8.1=$
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!