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3 years ago

39 125° Find the value of x

Mathematics

1 answer:

Savatey [412]3 years ago

8 0

Answer:

Step-by-step explanation:

The sum of the interior angles of this triangle must be 180 degrees.

Thus, angle x is 180 degrees less (39 degrees plus 125 degrees), or

x = 180 degrees - 164 degrees = 16 degrees.

Because of the 125 degree angle, this is an obtuse triangle.

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Are there any restrictions on the values x and y can adopt?

Brilliant_brown [7]

Yes there actually is because the x and y

8 0

4 years ago

find the equation of the straight line passing through the point (0,-1) which is perpendicular to the line y= -3/4 x-3

Rzqust [24]

Answer:

$4x - 3y -3=0$

Step-by-step explanation:

Given equation ,

$\implies y =\dfrac{-3}{4}x - 3$

Compare it to slope intercept form to find the slope which is $y=mx+c$ , we have ,

$m =\dfrac{-3}{4}$

Now we know that the product of slope of two perpendicular lines is-1 . Hence the slope of the perpendicular line is ,

$m_{perp}= \dfrac{4}{3}$

The given point is (0,-1) , on using Point slope form of the line we have,

$\implies y-y_1 = m(x - x_1) \\\\\implies y -(-1) = \dfrac{4}{3}(x -0 ) \\\\\implies y + 1 =\dfrac{4}{3}x \\\\\implies \underline{\boxed{\red{ 4x - 3y -3 = 0 }}}$

8 0

3 years ago

¿CUAL ES EL PERIMETRO DE UN RECTANGULO SABIENDO QUE SU ANCHO ES 3/4 DEL LARGO Y BEL LARGO MIDE 2,55M?

m_a_m_a [10]

Answer:

Perímetro = 8.925 metros

Step-by-step explanation:

La formula del perímetro de un rectángulo es:

perímetro = 2(ancho + largo)

en este caso:

p = 2(a+b)

a = 3b/4

b = 2.55m

a = ancho del rectángulo

b = largo del rectángulo

entonces:

sustituyendo el valor de la segunda ecuación

p = 2((3b/4)+b)

p = 2((3b/4)+(4b/4))

p = 2(7b/4)

p = 14b/4

p = 7b/2

p = 7*2.55/2

p = 8.925m

3 0

3 years ago

If Naomi were to paint her living room alone, it would take 5 hours. Her sister Jackie could do the job in 8 hours. How many hou

Zielflug [23.3K]

Answer:

40/13

The decimal form is going to be 3.076

7 0

3 years ago

A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, turntable).

Juli2301 [7.4K]

Answer:

a) 240 ways

b) 12 ways

c) 108 ways

d) 132 ways

e) i) 0.55

ii) 0.4125

Step-by-step explanation:

Given the components:

Receiver, compound disk player, speakers, turntable.

Then a purcahser is offered a choice of manufacturer for each component:

Receiver: Kenwood, Onkyo, Pioneer, Sony, Sherwood => 5 offers

Compact disc player: Onkyo, Pioneer, Sony, Technics => 4 offers

Speakers: Boston, Infinity, Polk => 3 offers

Turntable: Onkyo, Sony, Teac, Technics => 4 offers

a) The number of ways one component of each type can be selected =

$\left(\begin{array}{ccc}5\\1\end{array}\right) \left(\begin{array}{ccc}4\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}4\\1\end{array}\right)$

$= 5 * 4 * 3 * 4 = 240 ways$

b) If both the receiver and compact disk are to be sony.

In the receiver, the purchaser was offered 1 Sony, also in the CD(compact disk) player the purchaser was offered 1 Sony.

Thus, the number of ways components can be selected if both receiver and player are to be Sony is:

$\left(\begin{array}{ccc}1\\1\end{array}\right) \left(\begin{array}{ccc}1\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}4\\1\end{array}\right)$

$= 1 * 1 * 3 * 4 = 12 ways$

c) If none is to be Sony.

Let's exclude Sony from each component.

Receiver has 1 sony = 5 - 1 = 4

CD player has 1 Sony = 4 - 1 = 3

Speakers had 0 sony = 3 - 0 = 3

Turntable has 1 sony = 4 - 1 = 3

Therefore, the number of ways can be selected if none is to be sony:

$\left(\begin{array}{ccc}4\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right)$

$= 4 * 3 * 3 * 3 = 108 ways$

d) If at least one sony is to be included.

Number of ways can a selection be made if at least one Sony component is to be included =

Total possible selections - possible selections without Sony

= 240 - 108

= 132 ways

e) If someone flips switches on the selection in a completely random fashion.

i) Probability of selecting at least one Sony component=

Possible selections with at least one sony / Total number of possible selections

$\frac{132}{240} = 0.55$

ii) Probability of selecting exactly one sony component =

Possible selections with exactly one sony / Total number of possible selections.

$\frac{\left(\begin{array}{ccc}1\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) + \left(\begin{array}{ccc}4\\1\end{array}\right) \left(\begin{array}{ccc}1\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) + \left(\begin{array}{ccc}4\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}3\\1\end{array}\right) \left(\begin{array}{ccc}1\\1\end{array}\right)}{240}$

$= \frac{(1*3*3*3)+(4*1*3*3)+(4*3*3*1)}{240}$

$\frac{27 + 36 + 36}{240} = \frac{99}{240} = 0.4125$

5 0

3 years ago