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valina [46]
3 years ago
10

Decide whether the statement is a valid dennltion.

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0
The prime factors of 6 are 2 and 3. So for a number to be divisible by 6,it must also be divisible by 2 and 3.Therefore,we need to check if a number is even and then check if the sum of the digits is divisible by 3
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Write the inequality represented by the graph below.
Nikolay [14]
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4 0
2 years ago
The total cost of an item including sales tax is directly proportional to its price. If the total cost of a $32 item is $33.60 ,
pav-90 [236]
Let the total cost of the item be represented by C and the price be represented by P, then given that t<span>he total cost of an item including sales tax is directly proportional to its price, thus</span>

C\propto P \\  \\ \Rightarrow C=kP

where k is a constant.

Given that <span>the total cost of a $32 item is $33.60, thus

33.60=32k \\  \\ \Rightarrow k= \frac{33.60}{32} =1.05

Therefore, the total cost on a $55 item is given by

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3 0
4 years ago
In right triangle XYZ, ∠Y is the right angle and m∠X = 60°. If YZ = 4, what is XY?
daser333 [38]

Answer:

B is the best answer

The question is illustrated with the attached figure.

Required

Determine XY

To solve for XY, we make use of the tan function, which states that:

tan\theta = \frac{Opposite}{Hypotenuse}tanθ=

Hypotenuse

Opposite

In this case:

tan\ 60= \frac{YZ}{XY}tan 60=

XY

YZ

Substitute 4 for YZ

tan\ 60= \frac{4}{XY}tan 60=

XY

4

Make XY the subject

XY= \frac{4}{tan\ 60}XY=

tan 60

4

tan\ 60 =\sqrt 3tan 60=

3

So, the expression becomes:

XY = \frac{4}{\sqrt 3}XY=

3

4

Rationalize:

XY = \frac{4 * \sqrt 3}{\sqrt 3 * \sqrt 3}XY=

3

∗

3

4∗

3

XY = \frac{4\sqrt 3}{3}XY=

3

4

3

6 0
2 years ago
If element x has 27 protons, how many electrons does it have?
Alborosie
IT should have 27 electrons
3 0
3 years ago
Read 2 more answers
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