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ddd [48]
3 years ago
11

Lily is redecorating her house. She needs to work out the area of the wall around her

Mathematics
1 answer:
Elanso [62]3 years ago
3 0

*the complete diagram is given in the attachment below

Answer:

✔️ 198.7 m²

✔️$219.9

Step-by-step explanation:

✔️Area around the wall to be painted = area of rectangle - area of triangle

= L×B - ½ab×sin(C)

Where,

L = 17 m

W = 14 m

a = 9.5 m

b = 8.7 m

C = 72°

Plug in the values

Area around the wall to be painted = 17×14 - ½×9.5×8.7×sin(72)

= 238 - 39.3024105

≈ 198.7 m² (nearest tenth)

✔️Cost of painting the wall:

Paint cost $21.99 per container of 20 liters

Find how many liters would be needed if 1 liter covers 1m²

Liters needed to cover 198.7 m² = 198.7*1 = 198.7 liters of paint

20 liters = 1 container,

198.7 liters = 198.7/20 = 9.935 ≈ 10 containers

1 container cost $21.99

10 containers = 21.99×10 = $219.9

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3 years ago
Suppose you have a bag containing 2 black marbles and 3 red marbles. You reach into the bag, select a marble, see what color it
TiliK225 [7]

Answer:

\dfrac{9}{25}

Step-by-step explanation:

Given that the bag contains black and red marbles.

Number of black marbles in the bag = 2

Number of red marbles in the bag = 3

Total number of marbles in the bag = Number of black marbles + Number of red marbles = 2 + 3 = 5

Let us have a look at the formula for probability of an event E, which can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(\text{First red marble}) = \dfrac{\text{Number of red marbles}}{\text{Total number of marbles}} = \dfrac{3}{5 }

Now, the marble chosen at first is replaced.

Therefore, the count remains the same.

P(\text{Second red marble}) = \dfrac{\text{Number of red marbles}}{\text{Total number of marbles}} = \dfrac{3}{5}

Now, the <em>required probability</em> can be found as:

P(\text{First red marble})\times P(\text{Second red marble}) = \dfrac{3}{5}\times \dfrac{3}{5} = \bold{\dfrac{9}{25} }

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3 years ago
The amount of rainfall in January in a certain city is normally distributed with a mean of 4.2 inches and a standard deviation o
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babymother [125]
The complete question in the attached figure

Let 
Z---------------- > number of zacks stamps collections  <span>for a stamp show
</span>T---------------- > number of teri's stamps collections  <span>for a stamp show
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we know that
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the answer is
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number of teri's stamps collections  for a stamp show was 15
number of pacos  stamps collections <span>for a stamp show </span>was 9
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3 years ago
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