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andrew-mc [135]
3 years ago
14

Drag < or > to complete each equation. Use the number lines as needed.

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
6 0

Answer:

7/8 + 7/8 > 2

Step-by-step explanation:

7/8 + 7/8 = 14/8 lr 1 6/8 or 1 3/4

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Fifteen cylinders and 15 rectangular prisms are stacked. Each cylinder has the same top surface area and height as each rectangu
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C. The two stacks have the same volume because they have the same height and the same cross-sectional area at every level

Step-by-step explanation:

The volume of a cylinder can be found by multiplying the area of its base by its height.

Similarly, the volume of a rectangular prism can be found by multiplying the area of its base by its height.

Because they have the same base areas and the same heights, the same amount of each figure will result in the same volume from each stack.

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Step-by-step explanation:

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The sides of a square field are 32 meters. A sprinkler in the center of the field sprays a circular area with a diameter that co
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You find the area not touched by the sprinkler by subtracting the area of the circle from the area of the square.  The area of the square is 32*32 which is 1024.  The area of the circle is found by multiplying 3.14 by the radius squared.  Our radius is half the diameter of 32, so r = 16.  A=3.14(16)(16) which gives us an area of the circle to be 803.84.  Subtracting the 2 areas, square minus circle, is 1024-803.84=220.16 meters squared.
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Using the numbers 1, 2, 3, and 4 (ONLY ONCE), and the operations of adding, subtracting, multiplying, dividing, and the use of p
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3 years ago
Solve each calculation. Be sure to report your answer with the correct number of significant figures.
Serjik [45]

Question:

Solve each calculation. Be sure to report your answer with the correct number of significant figures.

5.61000 dg  × 1.1010 dg  

12.0 m  ÷ 3.1415 m

Answer:

1. 5.61000dg  * 1.1010dg = 6.177 dg^2

2. \frac{12}{3.1415} = 3.8198

Step-by-step explanation:

1. 5.61000 dg  × 1.1010 dg  

We start by representing each digit using scientific notation

5.61000 = 561000 * 10^{-5}

1.1010 = 11010 * 10^{-4}

Then, Multiply both numbers

561000 * 10^{-5} * 11010 * 10^{-4}

First, rearrange

561000  * 11010 * 10^{-5} *  10^{-4}

6176610000 * 10^{-5} *  10^{-4}

From law of indices, 10^{-5} *  10^{-4} = 10^{-9};

So, we have

6176610000 * 10^{-9}

6.176610000

Because 5.61000 is given in 3 significant figures and 1.1010 is given in 4 significant figures, we approximate the result to 4 significant figures

This gives 6.177

Hence, 5.61000dg  * 1.1010dg = 6.177 dg^2

2.

12.0 m  ÷ 3.1415 m

Using proper notation

12.0 m ÷ 3.1415 m = \frac{12}{3.1415}

We start by representing 3.1415 using scientific notation

3.1415 = 31415 * 10^{-4}

By substitution;

\frac{12}{3.1415} = \frac{12}{31415 * 10^-4}

Take 10^{-4} to the numerator

\frac{12}{3.1415} = \frac{12 * 10^4}{31415}

From law of indices, 10^{4} = 10000

\frac{12}{3.1415} = \frac{12 * 10000}{31415}

Multiply

\frac{12}{3.1415} = \frac{120000}{31415}

Divide

\frac{12}{3.1415} = 3.81983129078

Because 12.0 is given in 2 significant figures and 3.1415 is given in 5 significant figures, we approximate the result to 5 significant figures

\frac{12}{3.1415} = 3.8198

5 0
4 years ago
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