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DENIUS [597]
2 years ago
7

8.9 – 1.4x + (–6.5x) + 3.4 simplify this expression

Mathematics
2 answers:
Monica [59]2 years ago
8 0

Answer:

12.3 - 7.9x

Step-by-step explanation:

I added the numbers without variables first then I added the numbers with variables:

8.9+3.4 = 12.3

-1.4x + -6.5x = -7.9x

MariettaO [177]2 years ago
4 0

Answer:

x = 1.6

Step-by-step explanation:

Simplify the expression

8.9 – 1.4x + (–6.5x) + 3.4

8.9 - 1.4x + (-6.5x) + 3.4

collect like terms

8.9 + 3.4 - 1.4x - 6.5x

12.3  - 7.9 x = 0

take 7.9x to the left side

12.3 = 7.9x

divide both sides by 7.9

x = 12.3/7.9

x = 1.55696202532

x = 1.6

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The diagram shows the cross section of a cylindrical pipe with water lying in the bottom.
disa [49]
Hey 

So my brother posted this on Yahoo 
Draw a line from the center of the circle to one of the ends of the chord (water surface) and another to the point at greatest depth. A right-angled triangle is formed. Length of side to the water-surface is 5 cm, the hypot is 7 cm. 

<span>What you do now is the following: </span>

<span>Calculate the angle θ in the corner of the right-angled triangle by: cos θ = 5/7 ⇒ θ = cos ˉ¹ (5/7) </span>

<span>So θ is approx 44.4°, so the angle subtended at the center of the circle by the water surface is roughly 88.8° </span>

<span>The area shaded will then be the area of the sector minus the area of the triangle above the water in your diagram. </span>

<span>Shaded area ≃ 88.8/360*area of circle - ½*7*7*sin88.8° </span>
<span>= 88.8/360*π*7² - 24.5*sin 88.8° </span>
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<span>b) </span>

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Hoped it Helped
5 0
2 years ago
The accompanying data are lengths (inches) of bears. Find the percentile corresponding to 65.5 in.
Jlenok [28]

Complete question is missing, so i have attached it.

Answer:

Percentile is 74th percentile

Step-by-step explanation:

All the lengths given are;

Bear Lengths 36.5 37.5 39.5 40.5 41.5 42.5 43.0 46.0 46.5 46.5 48.5 48.5 48.5 49.5 51.5 52.5 53.0 53.0 54.5 56.8 57.5 58.5 58.5 58.5 59.0 60.5 60.5 61.0 61.0 61.5 62.0 62.5 63.5 63.5 63.5 64.0 64.0 64.5 64.5 65.5 66.5 67.0 67.5 69.0 69.5 70.5 72.0 72.5 72.5 72.5 72.5 73.0 76.0 77.5

The number of lengths (inches) of bears given are 54 in number.

We are looking for the percentile corresponding to 65.5 in.

Looking at the lengths given, since they are already arranged from smallest to highest, let's locate the position of 65.5 in.

The position of 65.5 in is the 40th among 54 lengths given.

If the percentile is P, then;

P% x 54 = 40

P = (40 × 100)/54

P ≈ 74

3 0
2 years ago
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