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sergij07 [2.7K]
3 years ago
6

Eight rooms in a house need to be painted.Each room can be painted white oryellow.​

Mathematics
1 answer:
AnnyKZ [126]3 years ago
3 0

Answer:

256

Step-by-step explanation:

This is just a simply problem using powers.

We have 8 rooms here, to be painted with white or yellow. so we have first 2 possibilities of colors.

We can paint the room, the eight room with just yellow, or just white. But we can also paint one room with white and 8 with yellow. And we vary and alter the order of this.

Regardless the order in which we paint the room, we have 8 rooms and only two possibilities to paint the rooms, so the math involved is just:

P = 2⁸ = 256

These are the total possibilities to paint the rooms with just these colors.

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Bob is driving along a straight and level road toward a mountain. At some point on his trip, he measures the angle of elevation
DerKrebs [107]

Answer:

Option A.

Step-by-step explanation:

Distance between Bob and the center of the mountain at the base = 19,427.5 ft.

Angle of elevation to the top of the mountain = 25°11'

We know that

1 degree = 60 minutes

1/60 degree = 1 minute

25^{\circ}11'=25^{\circ}+\frac{11}{60}{\circ}\Rightarrow 25^{\circ}+0.183^{\circ}=25.183^{\circ}

Let the height of the mountain be h.

In a right angled triangle

\tan\theta = \frac{opposite}{adjacent}

\tan(25.183^{\circ}) = \frac{h}{19427.5}

\tan(25.183^{\circ})\times 19427.5 = h

h=0.4702\times 19427.5

h=9134.8105

h\approx 9135

Therefore, the height of the mountain to the nearest foot 9135. Option A is correct.

5 0
3 years ago
In equilateral ∆ABC length of the side is a. Perpendicular to side AB at point B intersects extension of median in point P. What
allochka39001 [22]
The answer is a+6b, if you want to know the proof please comment on this post
7 0
3 years ago
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AYUDAAAA PLIS ES PARA HOYYY<br><br> Determina un procedimiento para sumar nueve numeros consecutivos
muminat

Answer:

9x + 36, donde x es el primer número

Step-by-step explanation:

Sea "x" un número cualquiera, el consecutivo o sucesor, corresponde al número que va después, se representa como: (x + 1)

Primer número: x

Segundo número: x + 1

Tercer número: x + 2

Cuarto número: x + 3

Quinto número: x + 4

6th número: x + 5

Séptimo número: x + 6

Octavo número: x + 7

Noveno número: x + 8

La suma de 9 números consecutivos, es:

x + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6) + (x + 7) + (x + 8)

9x + 36

Espero que esto ayude!!!

6 0
2 years ago
A recipe uses 3 cups of water, 2 cups of rice, and 1 cup of black beans. What is the ratio of cups of rice to cups of water?
harkovskaia [24]
The answer would be \frac{3}{2} There are three cups of water to 2 cups of rice.
5 0
3 years ago
A candle maker has 301.59 cubic centimeters (cm3) of liquid wax to make cone shaped candles. Each Candle has a circular base wit
Tatiana [17]

\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=1.5\\ h=5 \end{cases}\implies V=\cfrac{\pi (1.5)^2(5)}{3}\implies V=\cfrac{11.25\pi }{3} \\\\\\ V= 3.75\pi \implies V\approx 11.78~cm^3\qquad \leftarrow \textit{for one candle} \\\\\\ \stackrel{\textit{how many times does 11.78 go into 301.59?}}{301.59\div 11.78\implies 26}\qquad \leftarrow \textit{rounded up}

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3 years ago
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