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3 years ago

What is the area of the figure below? * ···

Mathematics

1 answer:

AlekseyPX3 years ago

3 0

Answer:

70cm + 3 x 18 = 54 ÷ 2 = 27 so 27 + 70 = 97

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Guys please help me out ASAP, Due today. I

Mice21 [21]

Answer:

$T_7 = 11$

$T_n = 2n- 3$

Step-by-step explanation:

Given

$S_n = n^2 -2n$

$T_n = S_n - S_{n-1}$

Solving (a): T7

Substitute 7 for n in $T_n = S_n - S_{n-1}$

$T_7 = S_7 - S_{7-1}$

$T_7 = S_7 - S_6$

Calculate S7 and S6

$S_n = n^2 -2n$

$S_7 = 7^2 - 2 * 7 = 35$

$S_6 = 6^2 - 2 * 6 = 24$

So:

$T_7 = 35 -24$

$T_7 = 11$

Solving (b): Tn

$T_n = S_n - S_{n-1}$

Where $S_n = n^2 -2n$

Calculate $S_{n-1}$

We have:

$S_{n-1} =(n-1)^2 - 2(n-1)$

Open brackets

$S_{n-1} = n^2 -2n + 1 -2n +2$

$S_{n-1} = n^2 -2n-2n + 1 +2$

$S_{n-1} = n^2 -4n + 3$

So:

$T_n = S_n - S_{n-1}$

$T_n = n^2 - 2n - (n^2 -4n + 3)$

$T_n = n^2 - 2n - n^2 +4n - 3$

Collect Like Terms

$T_n = n^2 - n^2- 2n +4n - 3$

$T_n = 2n- 3$

5 0

3 years ago

What solid 3D object is produced by rotating the rectangle about line m?

Roman55 [17]

Answer:

A. A cylinder with diameter 8 units

Step-by-step explanation:

∵ The line m is the central axis

So the radius is 4 units. ∴ Diameter is 8 units.

∵ The picture is a rectangle.

[ The rectangle rotates are its side to form a cylinder ]

So a cylinder with diameter 8 units.

The answer is A.

7 0

2 years ago

"bob places an 18-foot ladder 6 feet from the base of his house and leans it up against the side of his house. find, to the near

erik [133]

I WOULD LIKE TO HELP YOU. I WILL SEND YOU AN ATACHMENT. I THINK THAT I HELP YOU.

8 0

3 years ago

Simplify the Radical Expression 7√x-9√x+10√2+√2

zysi [14]

Answer:

Step-by-step explanation:

7√x-9√x+10√2+√2 = √x ( 7 - 9) +√2 ( 10+1) = - 2√x + 11√2

6 0

4 years ago

Evaluate the expression 3(7 + 4)2 − 24 ÷ 6

solong [7]

Answer:

3(7 + 4)2 − 24 ÷ 6 = 62

Step-by-step explanation:

3(7 + 4)2 − 24 ÷ 6 is the given expression.

Now, by the rule of BODMAS, where B = Bracket, O= of, D = divide,

M = multiplication, A = addition and S = subtraction

we try and solve the following expression in the same order.

Solving the bracket first, we get

3(7 + 4)2 − 24 ÷ 6 = 3(11)2 − 24 ÷ 6 = 66 − 24 ÷ 6

Next, we solve divide,

66 − 24 ÷ 6 = 66 - 4

Next, solving the subtraction, 66 - 4 = 62

Hence, 3(7 + 4)2 − 24 ÷ 6 = 62

6 0

3 years ago