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Ratling [72]
3 years ago
9

Write seven hundredths in standard form

Mathematics
1 answer:
velikii [3]3 years ago
6 0
I think it would be 0.07
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Which two numbers on the number line have an absolute value of 1.75?
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The absolute value of a number is the distance the number is from zero on the number line. Only one number is 0 units from 0. It is zero. For all other distances, there are always two numbers. Example: The two numbers a distance of 1 unit from zero are -1 and 1. Example: The two numbers a distance of 4.5 units from zero are -4.5 and 4.5.

In your case, the two numbers a distance of 1.75 units from zero are -1.75 and 1.75. Find -1.75 between -1.5 and -2 and place a dot there. Find 1.75 between 1.5 and 2 and place a dot there.

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The height of a trapezoid is 8 in. And its area is 96 in2. One base of the trapezoid is 6 inches longer than the other base. Wha
Vsevolod [243]

Answer:

The lengths of the bases are 9 inches and 15 inches.

Step-by-step explanation:

The area of trapezoid is

=\frac12(\textrm{ sum of parallel sides})\times height

Given that the height of a trapezoid is 8 in. and its area is 96 in².

Assume the bases of the trapezoid be b₁ and b₂.

Since one base of the trapezoid 6 in. longer than the other.

Let, b₁=b₂+6

The area of the trapezoid is

=\frac 12 (b_1+b_2)\times8 in²

=\frac12 (b_2+6+b_2)\times 8 in²

=\frac12(2b_2+6)\times8 in²

According to the problem,

\frac12(2b_2+6)\times8 =96

\Rightarrow 2b_2+6=\frac{96\times 2}{8}                [ Multiplying \frac28 ]

\Rightarrow 2b_2+6=24

\Rightarrow 2b_2=24-6

\Rightarrow 2b_2=18

\Rightarrow b_2=\frac{18}{2}

\Rightarrow b_2=9

Then, b_1=b_2+6

              =9+6

             =15 in

The lengths of the bases are 9 inches and 15 inches.

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