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S_A_V [24]
3 years ago
13

Simplify this expression 3u/14u

Mathematics
1 answer:
Tasya [4]3 years ago
7 0
3/14

There's no way to simplify
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In triangleABC, C is the right angle. If tanA = 8/6, find cosB
klemol [59]

<u>Short answer</u> = C) 8/10

<u>Working :</u>

Tan A = 8/6 = Opposite / AdjacentOpposite = 8 units

Adjacent = 6 units

Hypotenuse = \sqrt{8^{2} + 6^{2} }

                     = \sqrt{64 + 36 }

                     = \sqrt{100}

                     = 10 units

Cos B  = Adjacent/ Hypotenuse

        ∴  cos B= 8/10

4 0
4 years ago
A plane has traveled 26 miles on a course heading 48º east of north. How far north (x) has the plane traveled at this point, to
GrogVix [38]

Answer: 17.4\ \text{miles}

Step-by-step explanation:

Given

A plane has traveled 26 miles on a course heading 48^{\circ} east of north

Taking the component of travel in North direction

The distance traveled in North is given by with the help of figure

\Rightarrow x=26\cos 48^{\circ}\\\\\Rightarrow x=26\times 0.669\\\\\Rightarrow x=17.4\ \text{miles}

3 0
3 years ago
Based on a​ survey, assume that 43​% of consumers are comfortable having drones deliver their purchases. Suppose that we want to
lutik1710 [3]

Answer:

The probability that exactly three of them are comfortable with delivery by drones is 0.2583.

Step-by-step explanation:

Let <em>X</em> = number of consumers comfortable having drones deliver their purchases.

The probability of the random variable <em>X</em> is, P (X) = <em>p</em> = 0.43.

Then <em>q</em> is, <em>q</em> = 1 - p

A sample of <em>n</em> = 5 consumers are selected.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The pmf of <em>X</em> is:

P(X=x)={n\choose x}p^{x}(1-p)^{n-x};\ x=0,1,2,3...

Compute the value of P (X = 3) as follows:

P(X=3)={5\choose 3}0.43^{3}(1-0.43)^{5-3}\\=10\times 0.079507\times 0.3249\\=0.258318\\\approx0.2583

Thus, the probability that exactly three of them are comfortable with delivery by drones is 0.2583.

6 0
3 years ago
What is the area of the following trapezoid?
lord [1]
A = 1/2 (2+7)(1.5)
A = 4.5 (1.5)
A = 6.75 yd^2
7 0
3 years ago
Read 2 more answers
the work of johnannes kepler is likely to have been most influenced by the work of which of the following scientists
dedylja [7]
Kepler was a student of Copernicus who went with observations he made instead of tradition.
6 0
3 years ago
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