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Naddika [18.5K]
3 years ago
12

2 - [7+5 - (-4)] show work too, please

Mathematics
2 answers:
Bezzdna [24]3 years ago
7 0

We will use PEMDAS to solve this equation.

2-[7+5-(-4)]

2-[12-(-4)]

2-[16] You can remove the brackets at this point, if you want.

-14

Answer: -14

umka21 [38]3 years ago
5 0

Answer:

-14

Step-by-step explanation:

2- (7+5 - (-4))      ---- add 7 and 5

2 - (12 - (-4))       ----- subtract -4 from 12

2 - 16

= -14

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Find the 21st term of the sequence 15,8,1,-6
Alika [10]

Answer:

-125

Step-by-step explanation:

Each term is 7 less than the previous term.

1st term: 15

2nd term: 15 - 7

3rd term: 15 - 7 - 7 = 15 - 2(7)

4th term = 15 - 7 - 7 - 7 = 15 - 3(7)

Notice that each term is 15 minus a multiple of 7. The multiple is obtained by multiplying 7 by 1 less than the term number.

The formula is:

a_n = 15 - 7(n - 1)

For the 21st term, multiply 7 by 20, and subtract from 15.

7 × 20 = 140

15 - 140 = -125

Using the formula:

a_{21} = 15 - 7(21 - 1) = 15 - 7(20) = 15 - 140 = -125

Answer: -125

7 0
3 years ago
The circular base of a cone has a radius of 5 centimeters. The height of the cone is 12 centimeters, and the slant height is 13
shepuryov [24]

Answer:

Hence, the surface area of cone is:

282.6 cm^2 which is approx 283 cm^2.

Step-by-step explanation:

We are given:

  • The circular base of a cone has a radius of 5 centimeters.

           i.e. r=5 cm.

  • The height of the cone is 12 centimeters

               i.e. h=12 cm.

  • The slant height is 13 centimeters.

                    i.e. l=13 cm.

Now we know that the surface area(S.A.) of cone is given by:

S.A.=\pi r(l+r)

Hence by putting the value of l,r and π in the formula we get:

S.A.=3.14\times 5\times (13+5)\\\\S.A.=15.7\times 18\\\\S.A.=282.6

Hence the surface area of cone is 282.6 cm^2 which is approx 283 cm^2.

4 0
3 years ago
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4 years ago
If all the values in a set of data are the same, which of the following is true? (Check all that apply.) The range is zero. The
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The median and mode are the same. The low and high values are the same.
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4 years ago
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3 rhombi are connected at a point, side by side. All sides are congruent. Juan is making a model out of rhombi. Each rhombus wil
Wewaii [24]

Rhombus has all sides equal. The total amount of paper that will be needed to cover the wall is 396 in².

Given to us

Each rhombus will be 6 inches tall and 4 inches wide.

A.)

The area of each rhombus can be found using the formula,

Area = \dfrac{1}{2} \times d_1 \times d_2

We know that diagonals of the rhombus are of length 6 in and 4 in. therefore,

Area = \dfrac{1}{2} \times 6 \times 4\\\\Area = 12\ in^2

Hence, the area of the single rhombus is 12 in².

We know that the wall is 11 feet long, also, 1 foot = 12 inches, therefore,

11 feet = 132 in.

Now, since the wall is 132 in long and the width of the rhombus is 4 in, therefore, the number of rhombi that will be needed,

\dfrac{132}{4} =33

Hence, the number of rhombi that will be needed is 33.

We know the area of each paper rhombus, also, we know the number of rhombi that will be needed. Therefore,

33 \times 12 = 396\ in^2

Hence, the total amount of paper that will be needed to cover the wall is 396 in².

Learn more about Rhombus:

brainly.com/question/14462098

5 0
2 years ago
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