Simplify this expression 10 to the 0 power
1 answer:
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The model Hunter uses makes the division possible given that each
number of digits in a place value are represented by a cube.
- The number of hundredth in each division group is <u>D. 9</u>
Reasons:
The model Hunter started to show the problem is as follows;
Number of 10 by 10 flat = 1
Number of rods of 10 cubes = 4
Number of single cubes = 5
The division is 1.45 ÷ 5, which can be expressed as follows;
Given that the 5 cubes represent the .05 in 1.45, we have;
1 cube = 0.01
Dividing each of the set by 5 gives, for each of the division group;
10 by 10 flat ÷ 5 = 10 × 2 flat = 20 cubes = 20 × 0.01 = 0.2
4 rods × 10 cubes ÷ 5 = 40 cubes ÷ 5 = 8 cubes = 8 × 0.01 = 0.08
5 cubes ÷ 5 = 1 cube = 1 × 0.01 = 0.01
Therefore, each of the division group is 0.2 + 0.08 + 0.01 = 0.29
<em>The </em><em>tenths </em><em>are the </em><em>digits </em><em>after the </em><em>decimal point </em><em>to the </em><em>right</em><em>.</em>
<em />
The hundredths are the digits in the second position after the decimal point to the right.
<em>The </em><em>number </em><em>of </em><em>tenths</em><em> in each group, </em><em>(0.2)</em><em> = 2</em>
<em>There are 2 tenths in each group</em>
The number of hundredths in each group, (0.09) = 9
There are 9 hundredths in each group.
Therefore;
The correct response to the question on how many hundredths would be there in each of the division groups is <u>D. 9</u>
Learn more about division and place values here:
Answer:
Step-by-step explanation:
This is a right triangle trig problem. The base of the right triangle is the distance that Donna if from the flagpole; the flagpole is the side opposite the reference angle which was given as 26, and we are looking for the height of the flagpole, h. The trig ratio that uses the side opposite over the side adjacent is the tangent ratio, specifically:
and
123tan(26) = h so
h = 60.0 rounded to the nearest tenth. But that is only the height from her line of vision and up, not the whole height. In order to find the whole height, we have to add in her height up to her line of vision which is 5.3 feet. Therefore, the height of the flagpole is
60.0 + 5.3 = 65.3 feet.