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3 years ago

Please solve with working quick please

Mathematics

1 answer:

murzikaleks [220]3 years ago

6 0

Answer:

$\displaystyle V=16500\ m^3$

Step-by-step explanation:

Volume Of A Pyramid

The volume of a pyramid is computed as one third of the product of the area of the base (B) by the height (H):

$\displaystyle V=\frac{1}{3}BH$

The question doesn't ask for anything in particular, so I'm computing the volume of the solid shown in the image

We have a rectangular base of dimensions 15m x 60 m. The area of the base is

$B=(15m)(60m)=900m^2$

We now calculate the volume, knowing the height is 55 m

$\displaystyle V=\frac{1}{3}(900\ m^2)(55\ m)$

$\boxed{\displaystyle V=16500\ m^3}$

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There are 3 boxes. First box contains 100 components of which 20 % are defective, second box contains 200 components of which 25

natali 33 [55]

Answer:

Step-by-step explanation:

Given that there are 3 boxes. First box contains 100 components of which 20 % are defective, second box contains 200 components of which 25 % are defective, third box contains 300 components of which 40 % are defective.

Box is selected randomly and from this box one component is selected randomly. The chosen component turned out to be defective.

Here A1, A2 and A3 events from drawing I, II and III box are mutually exclusive and exhaustive

B = The drawn ball is defective

Required probability

a) second box = P(A2/B)

= $\frac{P(A_2B)}{P(A_1B+P(A_2B+P(A_3B}$

(by Bayes theorem of conditional probability)

= $\frac{\frac{1}{3} 0.25}{\frac{1}{3} 0.20)+\frac{1}{3} 0.25)+\frac{1}{3} 0.40)} \\=\frac{25}{85} \\=\frac{5}{17}$

b) third box = P(A3/B)

= $\frac{\frac{1}{3} 0.40}{\frac{1}{3} 0.20)+\frac{1}{3} 0.25)+\frac{1}{3} 0.40)} \\=\frac{40}{85} \\=\frac{8}{17}$

4 0

2 years ago

A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic

Rainbow [258]

angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

Step-by-step explanation:

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

$c^2 = a^2 + b^2 - 2ab (cosx)$

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ $c^2 = a^2 + b^2 - 2ab (cosx)$

⇒ $c^2 -a^2 - b^2 = -2ab (cosx)$

⇒ $(cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}$

⇒ $(cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}$

⇒ $(cosx) =0.18310$

⇒ $cos^{-1}(cosx) = cos^{-1}(0.18310)$

⇒ $x = 79.45$

The Law of Sines (or Sine Rule) is very useful for solving triangles:

$\frac{a}{sin A} = \frac{ b}{sin B} = \frac{c}{sin C}$

We can now find another angle using the sine rule:

⇒ $\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}$

⇒ $sin Y = \frac{(7.5 (sin 79.45))}{ 8.6}$

⇒ $Y = 59.02 degrees$

So, the third angle = $180 - 79.45 - 59.02 = 41.53 degrees.$

Therefore, angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

4 0

3 years ago

15 feet long and 12 feet wide. What is its area in square yards?

deff fn [24]

180 is the answer . Just multiply both numbers.

7 0

3 years ago

Scrooge-

Neporo4naja [7]

Answer:

Step-by-step explanation:

8 0

2 years ago

Change 0.72 to a percent

tino4ka555 [31]

Multiply 0.75 by 100

75 %

3 0

3 years ago

Read 2 more answers