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ddd [48]
4 years ago
5

Asurveyor standing at anoties two objects B and C on the opposite side of canal.The object are 120 m apart.If the angle of sight

b/n the object is 37degre how wide is the canale
Mathematics
1 answer:
Black_prince [1.1K]4 years ago
4 0

Answer:

159.25 meters

Step-by-step explanation:

Using the solution diagram attached ;

From Trigonometric relation, the width, w of the canal can be obtained using :

Tanθ = opposite / Adjacent

Tan 37 = 120 / w

w * tan 37 = 120

w = 120 / tan 37

w = 159.24537 meters

Hence, width of canal is 159.25 meters

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Evaluate the double integral.
Fynjy0 [20]

Answer:

\iint_D 8y^2 \ dA = \dfrac{88}{3}

Step-by-step explanation:

The equation of the line through the point (x_o,y_o) & (x_1,y_1) can be represented by:

y-y_o = m(x - x_o)

Making m the subject;

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The equation of the line through (1,2) & (4,1) is:

y -2 = m (x - 1)

where;

m = \dfrac{1-2}{4-1}

m = \dfrac{-1}{3}

∴

y-2 = -\dfrac{1}{3}(x-1)

-3(y-2) = x - 1

-3y + 6 = x - 1

x = -3y + 7

Thus: for equation of two lines

x = y - 1

x = -3y + 7

i.e.

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Now, y ranges from 1 → 2 & x ranges from y - 1 to -3y + 7

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\iint_D 8y^2 \ dA =8 \int^2_1 \int ^{-3y+7}_{y-1} \ y^2 \ dxdy

\iint_D 8y^2 \ dA =8 \int^2_1  \bigg ( \int^{-3y+7}_{y-1} \ dx \bigg)   dy

\iint_D 8y^2 \ dA =8 \int^2_1  \bigg ( [xy^2]^{-3y+7}_{y-1} \bigg ) \ dy

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4 0
3 years ago
Multiple regression is sometimes used in litigation. In the case of Cargill, Inc. v. Hardin, the prosecution charged that the ca
bogdanovich [222]

Answer:

($2.123 ; $2.149)

Step-by-step explanation:

The prediction interval is expressed as :

Predicted value ± standard Error

Predicted value = $2.136

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Lower boundary = $2.136 - $0.013 = $2.123

Upper boundary = $2.136 + $0.013 = $2.149

($2.123 ; $2.149)

B.) The prediction interval provides a range for which the predicted value or price should fall Given a certain degree of probability. If the true value falls within this interval, then, our prediction would be deemed to have occurred not by chance.

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4 0
3 years ago
Which of the following options have the same value as
Keith_Richards [23]

Question:

Which of the following options have the same value as 65% of 20?

Choose 2 answers:

(A) 0.65⋅20

(B) 65/100 divided by 20

(C) 65/20 * 100

(D) 65 * 20

Answer:

Option A has the same value as  65% of 20

Step-by-step explanation:

Let x be the value of  65% of 20

x = 65\% of 20

x = \frac{65}{100} \times 20

x =0.65 \times 20

x =13

Thus 65% of 20 is 13

Now ,

<u>Solving Option A</u>

=> (0.65) \cdot (20)

=> 13

<u>Solving Option B</u>

=> 65/100 divided by 20

=>\frac{\frac{65}{100}}{20}

=>\frac{0.65}{20}

=>0.0325

<u>Solving Option C</u>

=>65/20 * 100

=>\frac{65}{20} \times 100

=>3.25 \times 100

=>325

<u>Solving Option D</u>

=> 65 * 20

=>65 \times 20

=> 1300

8 0
3 years ago
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