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3 years ago

If the sum of the interior angles of a polygon is 540, then how many sides does the polygon have?

1 answer:

8 0

Number of Sides = (Sum of Interior Angles ÷ 180) + 2
Number of Sides = (540/180) + 2
Number of Sides = 3 + 2
Number of Sides = 5
answer is A

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$120 is shared among 3 friends Ava, Ben, and Carlos. If Ava receives $20 less than

kenny6666 [7]

Answer:$20

Step-by-step explanation:

If Carlos had $20

Ben would have $60

And Ava would have $40

8 0

3 years ago

Write an exponential function in the form y=ab^xy=ab

Tcecarenko [31]

Answer:

y = 8 · 10ˣ

Step-by-step explanation:

y = abˣ

When x = 0, y = 8.

8 = ab⁰

8 = a

When x = 3, y = 8000.

8000 = 8b³

1000 = b³

10 = b

The function is:

y = 8 · 10ˣ

3 0

3 years ago

A quantity with an initial value of 6200 decays continuously at a rate of 5.5% per month. What is the value of the quantity afte

ELEN [110]

Answer:

410.32

Step-by-step explanation:

Given that the initial quantity, Q= 6200

Decay rate, r = 5.5% per month

So, the value of quantity after 1 month, $q_1 = Q- r \times Q$

$q_1 = Q(1-r)\cdots(i)$

The value of quantity after 2 months, $q_2 = q_1- r \times q_1$

$q_2 = q_1(1-r)$

From equation (i)

$q_2=Q(1-r)(1-r) \\\\q_2=Q(1-r)^2\cdots(ii)$

The value of quantity after 3 months, $q_3 = q_2- r \times q_2$

$q_3 = q_2(1-r)$

From equation (ii)

$q_3=Q(1-r)^2(1-r)$

$q_3=Q(1-r)^3$

Similarly, the value of quantity after n months,

$q_n= Q(1- r)^n$

As 4 years = 48 months, so puttion n=48 to get the value of quantity after 4 years, we have,

$q_{48}=Q(1-r)^{48}$

Putting Q=6200 and r=5.5%=0.055, we have

$q_{48}=6200(1-0.055)^{48} \\\\q_{48}=410.32$

Hence, the value of quantity after 4 years is 410.32.

4 0

3 years ago

Read 2 more answers

HELPPPPPPPPPPPPPPPPPPPPPPPPPP complete the synthetic division below

soldi70 [24.7K]

The quotient in polynomial form is C. x² - x ₊ 1.

<h3>What is synthetic division?</h3>

In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less calculation than long division.

The given problem is-

-3 | 1 2 -2 3

Using synthetic division method,

-3 | 1 2 -2 3

| -3 3 3

|1 -1 1 6

So, the remainder from the calculation is 6 .

And the quotient polynomial is x² - x ₊ 1.

Hence, the correct answer for the given question is C. x² - x ₊ 1

More about Synthetic division method :

brainly.com/question/12642065

#SPJ1

4 0

1 year ago

Is the quotient 3.6÷9 greater or less than one

anastassius [24]

3 6/10÷ 9
36/10×1/9
36/90
.4<1

(Less than)

Hope this helps!

3 0

3 years ago