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fgiga [73]
3 years ago
9

What is the area of this composite shape?

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0
<h3>Answer:  51 square inches</h3>

=======================================================

Explanation:

There are a few ways to do this. One way is to divide the figure as shown in the diagram below. I divided it into a rectangle and a triangle. Find the area of the rectangle and triangle, then add up those areas to get the final answer.

A = area of rectangle

A = length*width

A = 7*6

A = 42

B = area of triangle

B = 0.5*base*height

B = 0.5*(6-3)*(13-7)

B = 0.5*3*6

B = 1.5*6

B = 9

C = total area

C = A+B

C = 42+9

C = 51 square inches

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Evaluate 4(a^2 + 2b) - 2b when a = 2 and b = –2.
Rama09 [41]

Answer:

4

Step-by-step explanation:

4(4-4)+4=4

insert 2 in a and-2 in b

7 0
4 years ago
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Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks. Craig's Bakery re
soldi70 [24.7K]

Answer:

a. 311 hours

b. i. $3,100 in receipts  

   ii. $2,799 in expenses.

Step-by-step explanation:

a. The company is making $10 per hour and spending $9 an hour. Their profit is therefore:

= 10 - 9

= $1 per hour

Since they spent $311 on the new equipment, the amount of time it would take for them to make this back is:

= 311 / 1

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b. In 311 hours, the total receipts would be:

= 311 * 10

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The expenses would be:

= 311 * 9

= $2,799

8 0
3 years ago
Take a deck of playing cards form following sets out of those
swat32

The information given about the probability shows that the cardinality of D is 18.

<h3>How to calculate the probability?</h3>

From the complete information, the number of red-colored cards is 26.

Also, the number of red-colored number cards will be 18.

The cardinality of a set is a measure of a set's size, meaning the number of elements in the set.

Here, the cardinality of set D is 18.

Here is the complete question:

Take a deck of playing cards. Form following sets out of those:

A = Set of Face Cards

B = Set of Red Coloured Face cards

C = Set of Black Coloured Face Cards

D = Set of Red Coloured Number Cards

Find the Cardinality of set D

Learn more about probability on:

brainly.com/question/24756209

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7 0
2 years ago
a salesperson sells $2700 in merchandise and earns a commission of $351 what is the commission rate in percentages?
GaryK [48]

Answer:

Commision rate 13%

Explanation:

The commission rate is equal to the commission as a percent of sells.

Now in our case,

sells = $2700

commission = $351

Therefore, the commission rate is equal to

undefined

6 0
1 year ago
1. From the statement select the related given statement.
solong [7]

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2. Plane R is parallel to plane S; Plane T cuts planes R and S.(Imagine you are sitting inside a room ,consider two walls opposite to each other as two planes R and S and floor on which you are sitting as third plane T ,so R and S are parallel and plane T is cutting them so in this case their lines of intersect .But this is not possible in each and every case, suppose R and S planes are parallel to each other and Plane T cuts them like two faces of a building and third plane T is stairs or suppose it is in slanting position i.e not parallel to R and S so in this case also lines of intersection  will be parallel.

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(i) AB > BC (ii) AB < BC  (iii) AB = BC

Since A, B,C are collinear .So in each case  AB + BC =AC

5 0
4 years ago
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