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olchik [2.2K]
3 years ago
15

Explain how an estimate helps you to place the decimal point when multiplying 3.9 times 5.3

Mathematics
2 answers:
Alborosie3 years ago
7 0
3.9 * 5.3 ≈  4 * 5

≈20

Well after doing your multiplication, you can place your decimal point by knowing that from estimation the answer is around 20.

So you can place your decimal point after the first two digits from the left. 
lana66690 [7]3 years ago
6 0
Estimations are like rounding

Steps to solve 

1. turn 3.9 to 4

2. Turn 5.3 to 5

3. Multiply 4*5

4. you're answer should be 20
 
5. Now put the decimal to the left of 20

Explanation:

Estimating helps you because it makes it easier for you to multiply after you round.

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Please help me in this questions....​
Ivahew [28]

Part (i)

I'm going to use the notation T(n) instead of T_n

To find the first term, we plug in n = 1

T(n) = 2 - 3n

T(1) = 2 - 3(1)

T(1) = -1

The first term is -1

Repeat for n = 2 to find the second term

T(n) = 2 - 3n

T(2) = 2 - 3(2)

T(2) = -4

The second term is -4

<h3>Answers: -1, -4</h3>

==============================================

Part (ii)

Plug in T(n) = -61 and solve for n

T(n) = 2 - 3n

-61 = 2 - 3n

-61-2 = -3n

-63 = -3n

-3n = -63

n = -63/(-3)

n = 21

Note that plugging in n = 21 leads to T(21) = -61, similar to how we computed the items back in part (i).

<h3>Answer:  21st term</h3>

===============================================

Part (iii)

We're given that T(n) = 2 - 3n

Let's compute T(2n). We do so by replacing every copy of n with 2n like so

T(n) = 2 - 3n

T(2n) = 2 - 3(2n)

T(2n) = 2 - 6n

Now subtract T(2n) from T(n)

T(n) - T(2n) = (2-3n) - (2-6n)

T(n) - T(2n) = 2-3n - 2+6n

T(n) - T(2n) = 3n

Then set this equal to 24 and solve for n

T(n) - T(2n) = 24

3n = 24

n = 24/3

n = 8

This means 2n = 2*8 = 16. So subtracting T(8) - T(16) will get us 24.

<h3>Answer: 8</h3>
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3 years ago
A party tent is used for an outdoor event. Ropes of equal length support each tent pole. The angle the rope makes with the floor
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Law of sines can be used to solve this problem:

(note - let x represent the missing side length.)

1. set up proportion.
sin 90°/25 = sin 55<span>°/x

2. solve.
(x) sin 90</span>° = (25) sin 55<span>°

(x) sin 90 </span>°/sin 90° = (25) sin 55° / sin 90<span>°
</span>
x = 20.4788011072
rounded to nearest tenth = 20.5 
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