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Bas_tet [7]
3 years ago
13

Need help please.

Mathematics
1 answer:
Mamont248 [21]3 years ago
4 0
Hi !

BAC is a triangle isocele in B so :  \widehat{BAC}=\widehat{BCA}=80\°\\

<span><em>The sum of the angles of any triangle is 180°.
</em></span>
180-80\times2=180-160=20

\boxed{\boxed{\widehat{ABC}=20\°}}
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You buy some room furniture. The table costs $599.99 and 4 chairs cost 89.59/chair. How much is your total purchase?
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$599.99+ $89.59(4)= $958.35
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3 years ago
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Step-by-step explanation:

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2 years ago
Use the recursive relationship to complete the next two rows of Pascal's triangle. Row 5: 1 _ _ _ _ 1 Row 6: 1 _ _ _ _ _ 1
frosja888 [35]

Answer:

      1  <u> 5 </u>  <u>10 </u>  <u>10</u>   <u>5</u>   1           Row 5

   1   <u>6</u>   <u>15</u>  <u>20</u>  <u>15</u>   <u>6</u>    1       Row 6

Recursive relationship:

Each row has number of positions = row number + 1. The Row 0 is always 1.

The first and last number in each row is 1, the number in the second position and the penultimate corresponds to the number of the row.  The middle numbers correspond to the sum of the two numbers in the top row. The resulting number from the addition is located in the middle of the numbers added in the next row.

Step-by-step explanation:

The pascal's triangle

* Row 0  =  1

* Row 1 = 1  1

                   1                          Row 0

                1    1                       Row 1

Since there are only two positions, the first and last are 1.

*Row 2 = 1  _ 1

                   1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

2 is the sum of 1 + 1 and we place it in the next row between the added numbers 1 and 1.

* Row 3 = 1 _  _    1

                  1                          Row 0

                1    1                       Row 1

              1   <u>2</u>  <u>1 </u>                    Row 2

            1   3   <u>3</u>  1                   Row 3

1 + 2 = 3  (the row number and the and adding the numbers from the previous row)

* Row 4 = 1 _  _    _   1

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   <u>3</u><u> </u>  <u>3</u>  1                   Row 3

         1   4   <u>6</u>   4   1                Row 4

1 + 3 = 4  (the row number)

3 +3 = 6

* Row 5 = 1 _  _   _  _   1

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   3   3  1                   Row 3

         1   4   6  4   1                Row 4

     1   5   10   10   5   1           Row 5

1 + 4 = 5

4 + 6 = 10

* Row 6 = <u>1</u>  _  _ _  _  _   <u>1</u>

                  1                          Row 0

                1    1                       Row 1

              1   2   1                     Row 2

            1   3   3  1                   Row 3

         1   4   6   4   1                Row 4

     1   5   <u>10</u> <u> 10 </u>  5   1           Row 5

   1   6   15  <u>20</u>  15   6   1        Row 6

1 + 5 = 6

5 + 10 = 15

10 + 10 = 20

3 0
2 years ago
Pepper has 48 pints of orange juice. How many gallons does she have?
Yuri [45]

Answer:

6 Gallons

Step-by-step explanation:

4 0
3 years ago
john makes $8 an hour walkin dogs and 16 an hour as a math tutor this weekend he wants to work no more than 10 hours he also wan
lawyer [7]

This question can be solved using an Algebraic equation.

The system of equations is given as:

x + y ≤ 10

8x + 16y ≥ 96

Let's represent

x = number of hours he walks the dogs

y = number of hours he works as a maths tutor

John must work for no more than 8 hours walking the dog and 2 hours as a Maths tutor to earn at least $96.

Our system of equations is given as:

He wants to work no more than 10 hours.

No more is represented by the inequality "≤ " = Less than or equal to

x + y ≤ 10 ...........Equation 1

He also wants to earn at least 96.

At least is represented by the inequality" ≥" = Greater than or equal to

$8 × x + $16 × y  ≥ 96

8x + 16y ≥ 96........Equation 2

Solving for the number of hours

x + y = 10

x = 10 - y

Substitute 10 - y for x in Equation 2

8(10 - y) + 16y = 96

80 - 8y + 16y = 96

Collect like terms

8y = 96 - 80

8y = 16

Divide both sides by 8

8y/8 = 16/8

y = 2 hours

Solving for x

x = 10 - y

x = 10 - 2

x = 8 hours

Therefore, John must work for no more than 8 hours walking the dog and 2 hours as a Maths tutor to earn at least $96.

To learn more, visit the link below:

brainly.com/question/1713508

3 0
1 year ago
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