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3 years ago

Write the perimeter of the triangle in simplest form.

Mathematics

1 answer:

Genrish500 [490]3 years ago

4 0

Answer:

6x +3

Step-by-step explanation:

Perimeter of a triangle is the sum of all the length of its sides. Since a triangle as 3 sides, add the 3 lengths together.

Perimeter of triangle= 2x -6 +x +8 +3x +1

Bringing all the x terms together and constants together:

Perimeter of triangle= 2x +x +3x -6 +8 +1

Simplify:

Perimeter of triangle= 6x +3

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LMNP is a rectangle. Find the value of x and the length of each diagonal. LN=2x+25 and MP=6x−7

Nana76 [90]

2x+25=6x-7
4x=32
x = 8
LN = 41
MP = 41

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3 years ago

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Veseljchak [2.6K]

Should be around 108 in

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There are many properties of exponents. These properties are used to make problems with exponents simpler. 1] Choose one of the

KiRa [710]

a^m × a^n = a^(m+n)

means that when you take a number, a, multiplied by itself m times, and multiply that by the same number a multiplied by itself n times, it's the same as taking that number a and raising it to a power equal to the sum of m and n.

To prove this, we can verify it numerically:

Let us take,

a = 10

m = 2

n = 5

Now,

10² × 10⁵ = 10²+⁵

100 × 100000 = 10⁷

10000000 = 10000000

Another example,

Let us take,

a = 2

m = 0

n = 3

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2⁰ × 2³ = 2⁰+³

1 × 8 = 2³

8 = 8

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3 years ago

Advance Algebra Logarithm Task

valina [46]

9514 1404 393

Answer:

3.65% monthly

Step-by-step explanation:

The same amount is invested for the same period in all accounts, so we only need to determine the effective annual rate in order to compare the accounts.

For compounding annual rate r n times per year, the effective annual rate is ...

(1 +r/n)^n -1

For the same rate r, larger values of n cause effective rate to be higher. As a consequence, we know that 3.65% compounded quarterly will not have as great a yield as 3.65% compounded monthly. The effective rate for the monthly compounding is ...

(1 +0.0365/12)^12 -1 = 3.712%

The effective rate for continuous compounding is ...

e^r -1

For a continuously compounded rate of 3.6%, the effective annual rate is ...

e^0.036 -1 = 3.666%

This tells us the best yield is in the account bearing 3.65% compounded monthly.

_____

If i is the effective annual rate of interest as computed by the methods above, then the 10-year account balance will be ...

10000×(1 +i)^10

This is the formula used in the spreadsheet to calculate the balances shown.

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3 years ago

It is snowing and salt trucks are

Korolek [52]

Answer:

The volume of a mound of salt-sand mixture is 589.05 feet ³ or 589.05 cubic feet.

Step-by-step explanation:

1. Let's check the information given to resolve the question:

Diameter of a mound of the mixture = 15 feet

Height (h) of the mound of the mixture = 10 feet

How much salt-sand mixture is there?

2. Let's find the volume of a mound of mixture with a conical shape:

For doing that, we need to use the volume formula of a cone.

It's: 1/3 * π * r² * h

Replacing with real values, we have:

1/3 * 3.1416 * 7.5 ² * 10 (Diameter = 15, so radius = Diameter/2 = 15/2 = 7.5)

Volume = 1/3 * 3.1416 * 56.25 * 10

Volume = 1/3 * 3.1416 * 562.5 (56.25 * 10 = 562.5)

Volume = 187.5 * 3.1416 = 589.05 feet ³ or 589.05 cubic feet.

7 0

3 years ago