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Doss [256]
2 years ago
12

How much metal is needed to cast a cubical metal box with outer side 10 inches long if the thickness of its walls should be exa

ctly 2 inches?

Mathematics
1 answer:
nignag [31]2 years ago
5 0
Notice the picture below

so...  a cube has all sides equal, so is just a rectangular prism with equal sides
and a rectangular prism is just 6 rectangles stacked up to each other at the edges

now, notice in the graph at the bottom, one of the rectangles with a thickness of 2inches

so... just get the volume of each, and add them up, that's how much metal is needed

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A certain cold remedy has an 88% rate of success of reducing symptoms within 24 hours. Find the probability that in a random sam
Hitman42 [59]

Answer:

The probability of cured people in who took the remedy is 8/9.

Step-by-step explanation:

Success rate of the cold remedy = 88%

The number of people who took the remedy = 45

Now, 88% of 45 = \frac{88}{100}  \times 45 = 39.6

and 39.6 ≈ 40

So, out of 45 people, the remedy worked on total 40 people.

Now, let E: Event of people being cured by cold remedy

Favorable outcomes = 40

\textrm{Probability of Event E}  = \frac{\textrm{Total number of favorable outcomes}}{\textrm{Total outcomes}}

or, \textrm{Probability of people getting cured}  = \frac{\textrm{40}}{\textrm{45}}  = \frac{8}{9}

Hence, the probability of cured people in who took the remedy is 8/9.

3 0
2 years ago
In one area, the lowest angle of elevation of the sun in winter is 27.5°. Find the minimum distance x that a plant needing full
Alex73 [517]

Answer:

The minimum distance x that a plant needing full sun can be placed from a fence that is 5 feet high is 4.435 ft

Step-by-step explanation:

Here we have the lowest angle of elevation of the sun given as 27.5° and the height of the fence is 5 feet.

We will then find the position to place the plant where the suns rays can get to the base of the plant

Note that the fence is in between the sun and the plant, therefore we have

Height of fence = 5 ft.

Angle of location x from the fence = lowest angle of elevation of the sun, θ

This forms a right angled triangle with the fence as the height and the location of the plant as the base

Therefore, the length of the base is given as

Height × cos θ

= 5 ft × cos 27.5° = 4.435 ft

The plant should be placed at a location x = 4.435 ft from the fence.

8 0
3 years ago
Choose the answer that makes the sentence true. (Blank) real numbers are integers. A. All B. Some C. No
zvonat [6]

Answer:

Some real numbers are integer

Step-by-step explanation:

Real numbers ;

  1. Natural numbers (counting numbers) = Integer
  2. Whole numbers = Integers
  3. Integers =Integers
  4. Rational numbers (fractions , repeating or terminating decimals) = Fraction and decimal are not integers
  5. Irrational numbers. = Not integer
4 0
3 years ago
Read 2 more answers
write a word problem that can be solved using a system of two linear equations. solve the problem and give the meaning of the an
dmitriy555 [2]

Answer:

The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find numbers

<h3>here</h3>

the other number = x + 9

Let the number be x. 

Sum of two numbers = 25

According to question, x + x + 9 = 25

⇒ 2x + 9 = 25

⇒ 2x = 25 - 9

⇒ 2x = 16

⇒ 2x/2 = 16/2

⇒ x = 8

Therefore, x + 9 = 8 + 9 = 17

Therefore, the two numbers are 8 and 17.

5 0
3 years ago
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C. Look for Relationships How do the processes you used for parts A and B differ? How are they the same?
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Step-by-step explanation:

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