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Maksim231197 [3]
4 years ago
11

Round 97.635 to a) the nearest one b) the nearest tenth c) the nearest hundredth

Mathematics
2 answers:
katrin2010 [14]4 years ago
8 0
A) 97.635 rounded to the nearest ones would be 98 since 97 + 1 is 98.

B) 97.635 rounded to the nearest tenth would be 97.6 since its near the tenth column

C) 97.635 rounded to the nearest hundredth would be 97.64 since thats just two decimals.
gizmo_the_mogwai [7]4 years ago
7 0
Salutations!

To round numbers, you need to know whether the number next to the place is greater than 5 or lesser than 5. If its greater than 5, you need to round up. If its lesser than 5, you need to round down.

<span>a) the nearest one = 98

</span><span>b) the nearest tenth = 97.6 

</span><span>c) the nearest hundredth = 97.64.

Hope I helped (:

Have a great day!</span>
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Soloha48 [4]

Step 1: evaluate f(x+h) and f(x)

We have

f(x+h) = -(x+h)^2+6(x+h)-5 = -(x^2+2xh+h^2)+6x+6h-5

= -x^2-2xh-h^2+6x+6h-5

And, of course,

f(x)=-x^2+6x-5

Step 2: evaluate f(x+h)-f(x)

f(x+h)-f(x)=-x^2-2xh-h^2+6x+6h-5-(-x^2+6x-5)=-2xh-h^2+6h

Step 3: evaluate (f(x+h)-f(x))/h

\dfrac{f(x+h)-f(x)}{h}=-2x-h+6

Step 4: evaluate the limit of step 3 as h->0

f'(x) = \displaystyle \lim_{h\to 0} \dfrac{f(x+h)-f(x)}{h}=-2x+6

So, we have

f'(1) = -2\cdot 1+6 = 4,\quad f'(2) = -2\cdot 2+6 = 2,\quad f'(3) = -2\cdot 3+6 = 0

5 0
3 years ago
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Lana71 [14]
H and a
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Simplify : 5y-2y+4=10​
Mnenie [13.5K]
Answer:

See below.

Step-by-step explanation:

5y - 2y + 4 = 10

5y - 2y = 6

3y = 6

y = 2

Check:

5y - 2y + 4 = 10

5(2) - 2(2) + 4 = 10

10 - 4 + 4 = 10

6 + 4 = 10

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The value of y = 2
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3 years ago
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DENIUS [597]

Let us take a random triangle we call \Delta LMN for a better understanding of the solution provided here.

A diagram of the \Delta LMN is attached here.

The rule to be applied here is the relationship between the side lengths of a triangle and the angles opposite those sides. This relationship states that:

In a triangle, the shortest side is always opposite the smallest interior angle and the longest side is always opposite the largest interior angle.

Let us verify this using the diagram attached.

As per the diagram, the smallest interior angle is \angle L and the side opposite to it, MN=24 has the smallest side just as the relationship had suggested.

Likewise, the largest interior angle is \angle N=108^0 and the side opposite to it, LM=45.7 is the longest side just as the relationship had suggested.

This rule/relationship can be applied to any triangle in question.

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Please Help !! <br>The picture of the question is attached. ​
kirza4 [7]

Answer:

x = 90°

Step-by-step explanation:

Using the identity

cos²x = 1 - sin²x

Given

cos²x - sin x + 1 = 0

1 - sin²x - sin x + 1 = 0

- sin²x - sin x + 2 = 0 ← quadratic equation in sin x ( multiply through by - 1 )

sin²x + sin x - 2 = 0 ← in standard form

(sinx + 2)(sinx - 1) = 0 ← in factored form

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sinx - 1 = 0 ⇒ sinx = 1 ⇒ x = 90°

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3 years ago
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