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8_murik_8 [283]
3 years ago
10

The quotient of 3 times a number "x" and 2 less 3 times the square of "x"​

Mathematics
1 answer:
Fofino [41]3 years ago
6 0

Three times a number x can be written as

3x

The quotien between this and 2 is

\dfrac{3x}{2}

from this, we will subtract something:

\dfrac{3x}{2}-\ldots

And this "something" is three times the square of x. The square of x is x^2, and three times this is 3x^2

So, our final expression is

\dfrac{3x}{2}-3x^2

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An acute triangle has side lengths 21 cm, x cm, and 2x cm. if 21 is one of the shorter sides of the triangle, what is the greate
madam [21]

Given that the sides of the acute triangle are as follows:
21 cm
x cm
2x cm

Stated that 21 cm is one of the shorter sides of the triangle2x is greater than x, so it follows that 2x MUST be the longest side


For acute triangles, the longest side must be less than the sum of the 2 shorter sides
Therefore, 2x < x + 21cm
2x – x < 21cm
x < 21cm

If x < 21cm, then 2x < 42cm
Therefore, the longest possible length for the longest side is 42cm
8 0
3 years ago
Read 2 more answers
In the year 2007, a person bought a new car for $23500. For each consecutive year after that, the value of the car depreciated b
Alexandra [31]

Answer:

17155

Step-by-step explanation:

23500-27%-17155

To the nearest hundred: 17200.

8 0
3 years ago
Find the area of each regular polygon. Round to the nearest tenth.
miskamm [114]

Given:

A regular polygon with three vertices and side 14 cm.

To find:

Area of the regular polygon.

Solution:

We know that, a regular polygon has equal sides and equal interior angles.

The given regular polygon has three equal sides, it means it is an equilateral triangle.

The area of an equilateral triangle is:

A=\dfrac{\sqrt{3}}{4}a^2

Where, a is the side length of the triangle.

Putting a=14, we get

A=\dfrac{\sqrt{3}}{4}(14)^2

A=\dfrac{\sqrt{3}}{4}(196)

A=84.87049

A\approx 84.9

Therefore, the area of given regular polygon is 84.9 cm².

6 0
3 years ago
Tom has 3 cookies and Jane has 4 cookies. Jane wrote a ratio of 4/7. Is this ratio a part to part or part to whole?
damaskus [11]
The answer is
B . Part to whole
Hope you have a nice day
8 0
3 years ago
Will give brainliest! Help me solve this logs problem!! Thank you​
Anon25 [30]

Answer:

4

Step-by-step explanation:

solving equation 1

  • log125 base 5√5=x
  • [5√5=√(25×5)=√125]
  • log125 base 125=x
  • [From one of the principles of logarithm " logA base a =1]
  • therefore, log125 base 125=1
  • x=1

solving equation 2

  • log 64 base 2√2=y
  • [2√2=√(4×2)=√8]
  • log 64 base√8=y
  • 64=(√8)^y
  • 64=8^(½y)
  • 8²=8^(½y)
  • (8 cancels in both equations and I evaluate the powers figures)
  • 2=½y
  • y=2×2=4

the product of x and y=x•y=1×4=4

4 0
3 years ago
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