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igor_vitrenko [27]
3 years ago
8

If b

Mathematics
1 answer:
lys-0071 [83]3 years ago
7 0

Answer:

46.2^o

Step-by-step explanation:

<u><em>The correct question is</em></u>

If b = 9 and c = 13, what is the measure of ∠A? (round to the nearest tenth of a degree)

The picture in the attached figure

we know that

In the right triangle ABC

cos(A)=\frac{b}{c} ---> by CAH (adjacent side divided by the hypotenuse)

substitute the given values

cos(A)=\frac{9}{13}

using a calculator

A=cos^{-1}(\frac{9}{13})=46.2^o

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What times 5 equals 70?
Viefleur [7K]
5n  =70 
5 x 14 = 70
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F(x)=-4x - 5 g(x)=3x - 2 Find( f - g )(x)
jok3333 [9.3K]
#1 is 12x² -15x 

#2 is fx-9x

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3 years ago
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Find the indicated probability by using the complementation rule. A percentage distribution is given below for the size of famil
arlik [135]

Answer:

The correct option is c.

Step-by-step explanation:

The percentage probability distribution is:

Size (X)      Percentage

 2                   39.9

 3                   24.4

 4                   20.1

 5                   10.8

 6                    3.3

 7                     1.5

Total             100.0

Compute the probability that the size of the family is 4 or more as follows:

P (X ≥ 4) = P (X = 4) + P (X = 5) + P (X = 6) + P (X = 7)

              = 0.201 + 0.108 + 0.033 + 0.015

              = 0.357

Thus, the probability that the size of the family is 4 or more is 0.357.

The correct option is c.

7 0
3 years ago
Find the area of the unshaded part of the figure
Tcecarenko [31]
<h3>Answer:</h3>

  unshaded area = 25(4 -π) in^2 ≈ 21.46 in^2

<h3>Step-by-step explanation:</h3>

Each of the shaded circles has a diameter of (20 in)/4 = 5 in, which also is the width of the enclosing rectangle. Then each circle has a radius of 2.5 in, and an area of ...

  A = πr^2 = π(2.5 in)^2 = 6.25π in^2

The four circles together have an area of ...

  4A = 4·(6.25π in^2) = 25π in^2

The area of the rectangle is the product of its length and width:

  A = LW = (20 in)(5 in) = 100 in^2

Since the circles are shaded, the unshaded area is the difference between the rectangle area and the total area of the four circles:

  unshaded area = (100 in^2) - (25π in^2) = 25(4 -π) in^2 ≈ 21.46 in^2

7 0
3 years ago
Phil's height is 51.2 cm, suzanne's height is 5'4", and suzanne's shadow lengthat gobblers knob is 76.2
8090 [49]

Answer:

P_1 = 24cm

Step-by-step explanation:

Represent:

Phil's height with P

Suzanne's height with S

Phil's shadow with P1

Suzanne's shadow with S1

So, we have:

P = 51.2cm

S = 5'4"

S_1 = 76.2cm

Required

Calculate the length of Phil's shadow --- Missing part of question

To do this, we make use of the following equivalent ratio.

P:S = P_1 : S_1

Convert S = 5'4" to cm

S = 5ft\ 4in

S = (5*30.48+ 4*2.54)cm

S = 162.56cm

Substitute values for P, S and S1

51.2cm : 162.56cm = P_1 : 76.2cm

Express as fraction

\frac{51.2cm}{162.56cm} = \frac{P_1 }{ 76.2cm}

Make P1 the subject

P_1 = 76.2cm * \frac{51.2cm}{162.56cm}

P_1 = 76.2cm * \frac{51.2}{162.56}

P_1 = \frac{76.2cm * 51.2}{162.56}

P_1 = \frac{3901.44cm}{162.56}

P_1 = 24cm

<em>Hence, the length of Phil's shadow is 24 cm</em>

6 0
2 years ago
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