Write as a decimal 23/9

Mathematics

1 answer:

Slav-nsk [51]4 years ago

8 0

Answer:

2.555555555555.....

(the 5 is repeating)

Step-by-step explanation:

This is the answer because:

1) To convert the fraction to a decimal, you have to divide the numerator by the denominator.

2) Therefore, 23/9 is 2.5 (the 5 is repeating)

Hope this helps!

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The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is

qwelly [4]

Answer:

Step-by-step explanation:

Given an acute triangle in which the longest side measures 30 inches; and the other two sides are congruent.

Consider the attached diagram

AB=BC=x

However to be able to solve for x, we form a right triangle with endpoints A and C.

Since the hypotenuse is always the longest side in a right triangle

Hypotenuse, AC=30 Inches

Using Pythagoras Theorem

$30^2=x^2+x^2\\900=2x^2\\x^2=450\\x=\sqrt{450}\\x=21.21$ inches$

Therefore, the smallest possible perimeter of the triangle

Perimeter=2x+30

=2(21.21)+30

=42.42+30

=72.4 Inches (rounded to the nearest tenth)

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How to solve -8-x=x-4x

MAVERICK [17]

Okay. So for this question, let's combine like terms on the right side first to simplify the expression. x - 4x is -3x. The expression simplified is this:

-8 - x = -3x.

Now, we add x to both sides to cancel out the x on the left. -3x + x is -2x. That leaves us with -8 = -2x. Divide each side by -2 to isolate the x. -2x/-2 cancels out. -8/-2 is 4. Let's plug in the value as x to see if it works. -8 - 4 is -12. -3 * 4 is -12. -12 = -12. There. x = 4.

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Find x in ecuation 4x+30=40

aliya0001 [1]

2.5

4x+30=40

-30 -30

4x=10

/4 /4

x=2.5

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