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erma4kov [3.2K]
3 years ago
12

Suppose you multiply a whole number greater than 1 by the fraction 3/5. Will the product be greater than, less than, or equal to

3/5?
Mathematics
2 answers:
velikii [3]3 years ago
6 0
The answer will always be greater when multiplying by an integer that is greater than 1.
Virty [35]3 years ago
4 0
Greater than. For example if you multiply 2 by 3/5 the answer is 1 1/5 which is greater than 3/5
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Please help me on #18, don't know how to do the question.
svetlana [45]

Option B) Determine the volume of the cake V= πr²h and divide that amount by 18

<u>Step-by-step explanation:</u>

  • It is given that, the birthday cake is in the shape of the cylinder.
  • Therefore, to find the entire volume of the cake, the volume of the cylinder formula is used.

<u>The volume of the cylinder is given by,</u>

Volume of the birthday cake = πr²h

After that, it was asked to find the volume of each piece of the cake.

In this case, the birthday cake is cut into 18 pieces.

We already know the total volume of the birthday cake which is πr²h.

In order to find the volume of each piece of cut cake, the total volume must be divided by the number of parts it has been cut into pieces.

Here, the whole part of the cake is 1.

The number of parts it has been divided after it is made into pieces = 18 parts.

Therefore, the volume of the birthday cake must be divided by 18 to get the volume of each piece of cake.

Option B) Determine the volume of the cake V= πr²h and divide that amount by 18 is correct.

8 0
3 years ago
Find the number of subset and number of proper subset from A=(5,6,7,8)
dezoksy [38]

Step-by-step explanation:

The number of subsets=2ⁿ where n=4 members

2ⁿ=2⁴=16

Number of proper subsets=2ⁿ-1

16-1=15

3 0
3 years ago
Lamont lost 8 yards in the first quarter​
beks73 [17]

The answer is -6 sorry could not explain because have to go somewhere hope it helped

3 0
3 years ago
Suppose we have a right triangle with legs of length a and b and hypotenuse of length c. Suppose b=3 and c=5. Then a= , For the
ANTONII [103]

Answer:

Length of right-angle  triangle 'a' = 4

b)

<u><em></em></u>sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}<u><em></em></u>

<u><em></em></u>cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}<u><em></em></u>

<u><em></em></u>tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}<u><em></em></u>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given  b = 3 and hypotenuse c = 5

Given ΔABC  is a right angle triangle

By using pythagoras theorem

        c² = a² + b²

  ⇒ a² = c² - b²

 ⇒  a² = 5²-3²

          =25 - 9

      a² = 16

⇒   a = √16 = 4

The sides of right angle triangle  a = 4 ,b = 3 and c = 5

<u><em>Step(ii):-</em></u>

<u><em></em></u>sin(A) = \frac{opposite side}{Hypotenuse} = \frac{a}{c} = \frac{4}{5}<u><em></em></u>

<u><em></em></u>cos(A) = \frac{Adjacent side}{Hypotenuse} = \frac{b}{c} = \frac{3}{5}<u><em></em></u>

<u><em></em></u>tan(A) = \frac{opposite side}{Adjacent side} = \frac{a}{b} = \frac{4}{3}<u><em></em></u>

7 0
2 years ago
When we make inferences about ONE POPULATION PROPORTION, what assumptions do we need to make? Mark all that apply. Group of answ
natita [175]

Answer:

Data is quantitative, data is categorical, data must be from a simple random sample, the data mut have normal distribution,

Step-by-step explanation:

When we make inference about one population proportion, we must ensure that the sample was taken randomly and observations follow a normal distribution. The sample size must be as large as possible with at least 10 counts of failures an 10 counts of successes. The  individual observations must be independent. They must be quantified and categorized.

7 0
3 years ago
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