Question

Find the perimeter of the triangle, whose sides are (3a + 7), (2a + 5) and (-a + 11).​

Answer 1

Answer:

Given :-

Length = 8 cm

Breadth = 7.5 cm

Height = 12 cm

To Find :-

Volume

Total surface area

Solution :-

Firstly let's find its volume

\boxed { \bf Volume \: = l \times b \times h}

Volume=l×b×h

\sf {:} \implies \: Volume = 8 \times7.5 \times 12:⟹Volume=8×7.5×12

\sf {:} \implies \: Volume \: = 60 \times 12:⟹Volume=60×12

\huge \bf Volume = 720 \: cmVolume=720cm

Now,

Let's find TSA

\boxed { \bf TSA \: = 2(lb + bh + lh)}

TSA=2(lb+bh+lh)

\sf \: TSA\: = 2(8 \times 7.5 + 7.5 \times 12 + 8 \times 12)TSA=2(8×7.5+7.5×12+8×12)

\sf \: TSA = 2(60 + 90 + 96)TSA=2(60+90+96)

\sf \: TSA \: = 2(246)TSA=2(246)

\sf \: TSA = 492 \: cm {}^{3}TSA=492cm

3

Hence :-

Volume of cuboid is 720 cm and surface area is 492 cm.

Answer 2

Answer:

Let the 1st paycheck be x (integer).

Mrs. Rodger got a weekly raise of $ 145.

So after completing the 1st week she will get $ (x+145).

Similarly after completing the 2nd week she will get $ (x + 145) + $ 145.

= $ (x + 145 + 145)

= $ (x + 290)

So in this way end of every week her salary will increase by $ 145.

2. The value of x + x(xx) when x = 2 is:

(a) 10, (b) 16, (c) 18, (d) 36, (e) 64

Solution:

x + x(xx)

Put the value of x = 2 in the above expression we get,

2 + 2(22)

= 2 + 2(2 × 2)

= 2 + 2(4)

= 2 + 8

= 10

Answer: (a)

3. Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:

(a) broke even, (b) lost 4 cents, (c) gained 4 cents, (d) lost 10 cents, (e) gained 10 cents

Solution:

Selling price of the first pipe = $1.20

Profit = 20%

Let’s try to find the cost price of the first pipe

CP = Selling price - Profit

CP = 1.20 - 20% of CP

CP = 1.20 - 0.20CP

CP + 0.20CP = 1.20

1.20CP = 1.20

CP = 1.201.20

CP = $ 1

Selling price of the Second pipe = $1.20

Loss = 20%

Let’s try to find the cost price of the second pipe

CP = Selling price + Loss

CP = 1.20 + 20% of CP

CP = 1.20 + 0.20CP

CP - 0.20CP = 1.20

0.80CP = 1.20

CP = 1.200.80

CP = $1.50

Therefore, total cost price of the two pipes = $1.00 + $1.50 = $2.50

And total selling price of the two pipes = $1.20 + $1.20 = $2.40

Loss = $2.50 – $2.40 = $0.10

Therefore, Mr. Jones loss 10 cents.

Step-by-step explanation:

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