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Soloha48 [4]
3 years ago
9

Cindy has a jacket with the first letter of her school’s name on it. Find the area of the letter on Cindy’s jacket

Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
6 0

Answer:

<h2>44 square inches.</h2>

Step-by-step explanation:

The area of the letter is formed by several figures.

Notice that all figures are parallelograms, where their area is defined as

A=bh

Where b is the base length and h is the height.

<h3>Horizontal parallelograms:</h3>

A_{1}=6(2)=12in^{2}

A_{2}=6(2)=12in^{2}

<h3>Vertical parallelogram:</h3>

A_{3}=2(10)=20in^{2}

So, the total area is

A_{total}=A_{1}  +A_{2} +A_{3}=12+12+20=44in^{2}

Therefore, the answer is 44 square inches.

fenix001 [56]3 years ago
5 0
Cindy’s jacket is 44in cause to find the parrollegrams it’s length time width

Her jacket is 44in
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Identify the quotient in the form a + bi. HELP ASAP PLEASE!!
Step2247 [10]

Solving the expression \frac{4-5i}{2+3i} we get -\frac{7}{13}-\frac{22i}{13}

So, Option A is correct.

Step-by-step explanation:

We need to solve the expression: \frac{4-5i}{2+3i}

Multiplying and dividing by 2-3i

=\frac{4-5i}{2+3i}*\frac{2-3i}{2-3i}\\=\frac{4-5i*2-3i}{2+3i*2-3i}\\=\frac{4(2-3i)-5i(2-3i)}{(2)^2-(3i)^2}\\=\frac{8-12i-10i+15i^2)}{4-9i^2}\\We\,\,know\,\, i^2=-1\\=\frac{8-12i-10i+15(-1)}{4-9(-1)}\\=\frac{8-15-12i-10i}{4+9}\\=\frac{-7-22i}{13}\\=-\frac{7}{13}-\frac{22i}{13}

So, solving the expression \frac{4-5i}{2+3i} we get -\frac{7}{13}-\frac{22i}{13}

So, Option A is correct.

Keywords: Complex numbers

Learn more about Complex numbers at:

  • brainly.com/question/10736268
  • brainly.com/question/4678474

#learnwithBrainly

8 0
3 years ago
Rule:start at 3 1/8 subtract 3/4
SSSSS [86.1K]

Answer:

2 3/8

Step-by-step explanation:

If what you're saying it 3 1/8 - 3/4 then...

3 1/8 - 3/4

3 1/8 - 6/8

25/8 - 6/8

19/8

2 3/8

6 0
3 years ago
Amount $100,000
sergey [27]

Answer:

1) Repaid for the loan = $239,511.60  

2) Percentage = 58.2%

3) Average amount = $387.53

Step-by-step explanation:

Given :

Amount $100,000  

Rate 7%

Payments 360  - $665.31

Total interest $139,511.60

To find :

1) How much will be repaid for this loan?

Repaid for the loan = Amount - Total interest  

Repaid for the loan = 100,000 + 139,511.60

Repaid for the loan = $239,511.60  

2) What percentage will be repaid for this loan?

\text{Percentage}=\frac{\text{Total interest}}{\text{Repaid loan}}\times100

\text{Percentage}=\frac{139511.60}{239511.60}\times100

\text{Percentage}=0.582\times100

\text{Percentage}=58.2\%

3) What will be the average amount per payment for interest?

\text{Average amount}=\frac{\text{Total interest}}{\text{Payments}}

\text{Average amount}=\frac{\text{139511.60}}{\text{360}}

\text{Average amount}=387.53

4 0
3 years ago
1) At Joe's Restaurant, one-fourth of the
andrew11 [14]

Answer:

<u>1/20 of the patrons at Joe's restaurant are expected to be male and out of town.</u>

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Proportion of patrons that are male at Joe's restaurant = 1/4

Proportion of patrons that are from out of town at Joe's restaurant = 1/5

2.  What  proportion would you expect to be  male and out of town?

For finding the proportion of the patrons, that would be male and that would be from out of town, we do this calculation:

Proportion of patrons that are male at Joe's restaurant * Proportion of patrons that are from out of town at Joe's restaurant

<u>1/4 * 1/5 = 1/20 </u>

<u>It means that 1/20 of the patrons at Joe's restaurant are expected to be male and out of town.</u>

8 0
3 years ago
The larger of two numbers is 15 more than 3 times the smaller number. If the sum of the two numbers is 63 find the numbers
scoray [572]

Answer:

X = 51

Y = 12

Step-by-step explanation:

2 numbers: (Larger) Number 1 is x and Number 2 is y

The equation is x + y = 63

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New equation is:

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Combine like variables:

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Solve:

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Divide 4 from each side:

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To find x fill in the variables from the 'x =' equation:

  • x = 3y + 15
  • x = 3( 12) + 15
  • <em><u>x = 51</u></em>
3 0
3 years ago
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