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3 years ago

What is the area of this polygon? Enter your answer in the box. units²

Mathematics

2 answers:

alina1380 [7]3 years ago

6 0

The answer is 105 units2

Vesna [10]3 years ago

3 0

Answer:

$42\:units \:square$

Step-by-step explanation:

We can divide the polygon into a rectangle and a triangle as shown in the attachment.

The rectangle has dimensions $l=5$ units and $w=7$ units.

The area of the rectangular portion is

$=5\times 7=35$ square units.

The area of the triangular portion is

$Area=\frac{1}{2}\times base \times height$

$Area=\frac{1}{2}\times 7 \times 2=7$ square units.

Therefore the area of the polygon is $=35+7=42$ square units.

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What is the area of the circle?

Bumek [7]

Answer:

363

Step-by-step explanation:

Formula for area of a circle

A = πr^2

Where r = radius

The circle has a given radius of 11

To find the area of the circle we simply substitute r in the formula with the value of the radius (11)

( Also note that the question says to use 3 for π )

A = πr^2

π = 3

r = 11

Substitute values in formula

A = (3)(11)^2

11^2 = 121

A = 121(3)

121(3) = 363

A = 363

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The answer is 10000 because you need to flip it

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Which expression below represents,”A number increased by five?”

Anna35 [415]

C
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Kim finds a 1-meter tree branch and marks it off in thirds and fifths. She then breaks the branch along all the markings and rem

True [87]

Answer:

3/5

Step-by-step explanation:

We want to find the fraction of the original branch that remains, so we will assume a length of the branch in order to make our calculation easier.

Since Kim marks it off in thirds and fifths, let's find the least common multiple of 3 & 5.

Least common multiple of 3 & 5 is 15.

Thus,let's make the length of the branch to be 15-meter long.

Now, if the branch is 15 m long, considering the markings of thirds and fifths, the branch would be cut at:

3, 5, 6, 9, 10, 12 meters.

We are told that She then breaks the branch along all the markings and removes one piece of every distinct length. Thus;

Distinct lengths are;

3 metres

5 - 3 = 2 metres

10 - 9 = 1 meter

Total she removes = 3 + 2 + 1 = 6 meters.

Total remaining is;

15 - 6 = 9 meters

Expressing this as a fraction of the original branch gives:

9/15

Divide both numerator and denominator by 3 to get; 3/5

7 0

3 years ago

Write the expression 44(4–7)(4) using a single exponent.

Ghella [55]

<h3>The given expression as single exponent is:</h3>

$4^4 \times 4^{-7} \times 4 = 4^{-2}$

<em><u>Solution:</u></em>

<em><u>Given expression is:</u></em>

$4^4 \times 4^{-7} \times 4$

In exponents,

When the base is same, exponents can be added

Which means,

$a^m \times a^n = a^{m+n}$

Therefore,

$4^4 \times 4^{-7} \times 4 = 4^{4-7+1}\\\\Simplify\\\\4^4 \times 4^{-7} \times 4 = 4^{-3+1} \\\\4^4 \times 4^{-7} \times 4 = 4^{-2}$

Thus the given expression as single exponent is:

$4^4 \times 4^{-7} \times 4 = 4^{-2}$

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3 years ago

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