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alexandr1967 [171]
3 years ago
12

An Arithmetic series has 20 terms. The first term is -81. The sum of all the terms is -480. Use the arithmetic sum formula to fi

nd the last term
Mathematics
1 answer:
timama [110]3 years ago
4 0

Answer:

The last term is 33.

Step-by-step explanation:

Sn = (n/2)(a1 + L)    where a1 = first term and L = the last.

So:

-480 = (20/2) ( -81 + L)

-480 = 10( L - 81)

L- 81 = -480 / 10 = -48

L = -48 + 81

L = 33.

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I need help this Question
Delicious77 [7]

Using the combination formula, it is found that the number of ways to choose the presenters is given by:

C. 462.

The order in which the presents are chosen is not important, hence the <em>combination formula</em> is used to solve this question.

<h3>What is the combination formula?</h3>

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, 6 students are chosen from a set of 11, hence the number of ways is given by:

C_{11,6} = \frac{11!}{6!5!} = 462

More can be learned about the combination formula at brainly.com/question/25821700

#SPJ1

8 0
2 years ago
Circle A is inscribed in a quadrilateral. What is the perimeter of the quadrilateral?
faust18 [17]
AB + CD = BC + DA 
<span>Where A, B, C, and D are points on the quad, and AB is the length of the line A to B, etc. </span>

<span>Since you know three sides, you can easily solve for the fourth. </span>
6 0
3 years ago
A triangle and a rectangle are shown below.
nadezda [96]

Answer:

10 cm

Step-by-step explanation:

From the diagram,

Applying,

lw = 5/2(bh)..................... Equation 1

Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.

make w the subject of the equation

w = 5(bh)/2l............... Equation 2

From the diagram,

Given: l = 12 cm, b = 6 cm, h = 8 cm

Substitute into equation 2

w = 5(6×8)/(2×12)

w = 10 cm

Hence the width of the rectangle is 10 cm

8 0
3 years ago
Use the number line to determine the unknown addend. 2 + ____ = 11 -3 + ____ = -11
den301095 [7]

Answer:

For the First one, 2 + 9 = 11. And 11 - 3 + (-19) = -11

Step-by-step explanation:

7 0
3 years ago
He sum of three consecutive integers is −369−369. find the three integers.
Alinara [238K]
N + (n+1) + (n+2) = -369
3n + 3 = -369
3n = -366
n = -122

so the three consecutive integers are : -124 ; -123 ; -122
4 0
3 years ago
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