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sdas [7]
3 years ago
13

Bill draws a regular octagon with the perimeter of 32 units.He picks a vertex of the octagon and draws two line segments through

the interior of the octagon on each different opposite vertex.His line segments divide the octagon into three quadrilaterals.what does the shape look like ?

Mathematics
1 answer:
Vanyuwa [196]3 years ago
3 0

The quadrilaterals are two congruent isosceles trap ezoids and a kite.

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Hunter started with the following model to show the problem 1 . 45 ÷ 5 1 . 45 ÷ 5 . One 10 by 10 flat, 4 rods of 10 cubes , and
vlada-n [284]

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;

\displaystyle \frac{1.45}{5}

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:

brainly.com/question/3060423

brainly.com/question/14021681

brainly.com/question/574471

7 0
2 years ago
Solve the equation showing each inverse operation step:
valina [46]

Answer:

4 2/7 - 6/7 = 24/

7

= 3 3/

7

Step-by-step explanation:

Conversion a mixed number 4 2/

7

to a improper fraction: 4 2/7 = 4 2/

7

= 4 · 7 + 2/

7

= 28 + 2/

7

= 30/

7

To find a new numerator:

a) Multiply the whole number 4 by the denominator 7. Whole number 4 equally 4 * 7/

7

= 28/

7

b) Add the answer from previous step 28 to the numerator 2. New numerator is 28 + 2 = 30

c) Write a previous answer (new numerator 30) over the denominator 7.

Four and two sevenths is thirty sevenths

Subtract: 30/

7

- 6/

7

= 30 - 6/

7

= 24/

7

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(7, 7) = 7. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 7 × 7 = 49. In the following intermediate step, it cannot further simplify the fraction result by canceling.

In other words - thirty sevenths minus six sevenths = twenty-four sevenths.

5 0
2 years ago
Of Quadratic Equation Components
NeTakaya

Answer:

3x {}^{2}  + 5x - 2 = 0

3 0
3 years ago
Read 2 more answers
In a city school of 1,200 students, 42% of the students are on the honor roll, 64% have a part-time job, and 28% are on the hono
Margarita [4]

Answer:

D

Step-by-step explanation:

6 0
3 years ago
What is the product?<br>(4x) (-345 (-23)​
olga_2 [115]

Answer:

Step-by-step explanation:

You first want to get rid of the numbers which are in parenthesis

(-345(-23)

This is a multiplication between negative numbers

The law of signs in mathematics states that negative times negative equals positive

(-) (-) = +

(-345(-23)= 7935

Then we multiply the number which is outside of the parenthesis (4x)

(4x)7935= 31740x

3 0
3 years ago
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