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tigry1 [53]
3 years ago
6

F. if a 2 x 6 (which means the actual dimensions of the board are 1.5 in. x 5.5 in.) milled from the same wood (and therefore ha

s the same density) weighs 3.2 lb, how long is the board?
Mathematics
1 answer:
Verizon [17]3 years ago
7 0

By definition, we have to

 W = V * Dw

 W: weight

 V: Volume

 D: Density

 Clearing and Substituting we have:

 V = W / Dw = (3.2 lb) / (0.021 (lb / in ^ 3)) = 152.38 in ^ 3

 Then, on the other hand, the volume is

 V = l * w * d

 l: long

 w: width

 d: depth

 Clearing and substituting

 l = V / (w * d) = (152.38 in ^ 3) / ((1.5 in) * (5.5 in)) = 18.5 in

 The answer is 18.5 in

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<span> </span>

<span> </span>

<span> </span>

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Find the lateral area of this cone.
tatyana61 [14]

Given:

Radius of the base of the cone = 12 in.

The slant height of the cone = 15 in.

To find:

The lateral surface area of the given cone.

Solution:

The lateral surface area of the cone is:

LA=\pi rl

Where, r is the radius of the base of the cone and h is the slant height of the cone.

Putting r=12,h=15, we get

LA=\pi (12)(15)

LA=180\pi

The lateral surface area of the cone is 180π in ² and the missing value for the blank is 180.

7 0
3 years ago
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Using a Simple Radom Sample of 500 rental property owners in Washington State, a 95% confidence interval estimate of the proport
Feliz [49]

Answer:

Hence the correct option is option d.

Explanation:

We can 95% confident that between 28.1% and 39.2% of all rental property owners own a property by the water.  

Here correct option for interpretation of the 95% confidence interval. The remaining options are about probabilities and sample proportions.

3 0
3 years ago
I am stuck on these last four questions please help if possible.
zloy xaker [14]

Answer:

Step-by-step explanation:

9). -2.2(4 - 1.9x) = 3.3(0.2x - 0.8)

    -8.8 + 2.2(1.9x) = 0.66x - 2.64

    -8.8 + 4.18x = 0.66x - 2.64

     4.18x - 0.66x = 8.8 - 2.64

     3.52x = 6.16

     x = 1.75

10). 3.2(1 + 2.6x) = 2.4(x - 3.6)

     3.2 + 8.32x = 2.4x - 8.64

     8.32x - 2.4x = -3.2 - 8.64

     5.92x = -11.84

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11). 4.6(2x - 5.5) = 3.9 + 0.8(1 + 5.5x)

     9.2x - 25.3 = 3.9 + 0.8 + 4.4x

     9.2x - 25.3 = 4.7 + 4.4x

     9.2x - 4.4x = 25.3 + 4.7

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12). 0.2(3x + 2.5) - 4.9 = 3.8 - 2.2(x - 5.5)

     0.6x + 0.5 - 4.9 = 3.8 - 2.2x + 12.10

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     0.6x + 2.2x = 15.90 + 4.4

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     x = 7.25

4 0
3 years ago
a student found the slope of a line that passes through the points (1,14) and (3,4) to be 5. what mistake did she make?
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M = (y2-y1)/(x2-x1)
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Leto [7]

Answer:

180

Step-by-step explanation:

Since the type of trapezoid is not listed, I cannot really explain, sorry :/

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