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ElenaW [278]
3 years ago
13

Help please ASAP!!!!!!!!!

Mathematics
1 answer:
Elden [556K]3 years ago
4 0

Answer:

b. -33

Step-by-step explanation:

The question is about finding the determinant of a 2×2 matrix

General formula; when given matrix A =[  b  c ]

                                                                  [ d   e]

the determinant of A = (e×b)-(c×d)

Evaluate

(3  -3)

(-5  -6)  = (-6×3) - ( -5×-3)

            = (-18)- ( 15) = -33    

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Can someone help me with these problems? The majority of them I have answers but I don't understand them. Thanks!
zaharov [31]

Question 1:

The area of the triangle is 9\frac{5}{8} cm², if you want it rounded to the nearest whole number it will be 10 cm²

Question 2:

The area of the parallelogram is 304.5 m²

Question 3:

The ratio of grilled chicken salads sold to the total number of lunches sold is 1 : 3 in the simplest form

Question 4:

The ratio of odd to even digits in the following number:  7,208,631

is 3 : 4

Question 5:

5 tons is equal to 10,000 pounds

Question 6:

A table measures 3 feet across is 36 inches across

Step-by-step explanation:

Question 1:

The formula of the area of a triangle is A=\frac{1}{2}bh , where

  • b is the base of the triangle
  • h is the height of the triangle

∵ The base of the triangle = 5\frac{1}{2} cm

∵ The height of the triangle = 3\frac{1}{2} cm

- Change the mixed numbers to improper fractions

∵ 5\frac{1}{2} = \frac{(5*2)+1}{2}=\frac{11}{2}

∵ 3\frac{1}{2} = \frac{(3*2)+1}{2}=\frac{7}{2}

∴ A=\frac{1}{2}(\frac{11}{2})(\frac{7}{2})=\frac{77}{8} cm²

- To change the improper fraction to mixed number divide 77 by 8

∵ 77 ÷ 8 = 9 and remainder 5 (8 × 9 = 72 , 77 - 72 = 5)

∴ 77 ÷ 8 = 9\frac{5}{8}

∴ A=9\frac{5}{8} cm²

The area of the triangle is 9\frac{5}{8} cm²

If you want to round it to the nearest whole number the area will

be 10 cm²

Question 2:

The formula of the area of a parallelogram is A = b h , where

  • b is the base of the parallelogram
  • h is the height of this base of the parallelogram

∵ The base of the parallelogram = 14.5 m

∵ Its height = 21 m

∵ A = b h

∴ A = 14.5 × 21 = 304.5 m²

The area of the parallelogram is 304.5 m²

Question 3:

∵ The cafeteria sold 200 grilled cheese sandwiches, 100 tacos, and

   150 grilled chicken salads

∴ The cafeteria sold = 200 + 100 + 150 = 450 lunches

- To find the ratio between the grilled chicken salads sold to the total

   number of lunches sold divide them and simplify the answer to the

   lowest term

→  G.C.S    :    Lunches

→  150       :    450 ⇒ divide both by 10

→  15          :   45 ⇒ divide both by 5

→  3           :   9 ⇒ divide both by 3

→  1            :    3

The ratio of grilled chicken salads sold to the total number of lunches sold is 1 : 3 in the simplest form

Question 4:

The even numbers are the numbers whose one digit is 0 , 2 , 4 , 6 , 8

The odd numbers are the numbers whose one digit is 1 , 3 , 5 , 7 , 9

∵ The number is 7,208,631

∵ The odd digits are 7 , 3 , 1

∴ There are 3 odd digits

∵ The even numbers are 2 , 0 , 8 , 6

∴ there are 4 even digits

∴ The ratio of odd to even digits is 3 : 4

The ratio of odd to even digits in the following number:  7,208,631

is 3 : 4

Question 5:

∵ One ton is equal to 2000 pounds

∵ There are 5 tons

→  Ton    :    Pound

→  1           :    2000

→  5          :    x

Use the cross multiplication

∵ 1 × x = 5 × 2000

∴ x = 10,000 pounds

5 tons is equal to 10,000 pounds

Question 6:

∵ A table measures 3 feet across

∵ 1 foot = 12 inches

∴ 3 × 12 = 36 inches

A table measures 3 feet across is 36 inches across

Learn more:

You can learn more about ratio in brainly.com/question/10781917

#LearnwithBrainly

6 0
3 years ago
What type of number is 10.9+3i?
hram777 [196]

Answer:

I think its a rational number

Step-by-step explanation:

3 0
3 years ago
In one​ lottery, a player wins the jackpot by matching all five numbers drawn from white balls​ (1 through 45​) and matching the
777dan777 [17]

Answer:

39,096,288

Step-by-step explanation:

as we know that

The number of ways to pick 5 numbers from 45  are

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\frac{45\times44\times43\times42\times41}{5\times4\times3\times2\times1}|

= 1,221,759.

There are 32 ways to pick a gold ball so total number of ways to get  6 matching numbers is

1221759×32

= 39,096,288

6 0
3 years ago
The Ridgeport school district collected data about class size in the district. The table shows the class for sizes five randomly
vladimir1956 [14]

Answer:

A

Step-by-step explanation:

the mean is higher than kindergartens mean which shows its larger and the deviation is lower which shows less variation

5 0
2 years ago
The quotient of a and 5
Butoxors [25]

Answer:

\frac{a}{5}

Step-by-step explanation:

That would be a divide by 5: \frac{a}{5}

7 0
3 years ago
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