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Kitty [74]
3 years ago
9

Draw an equilateral triangle of perimeter 10 centimetres.​

Mathematics
1 answer:
3241004551 [841]3 years ago
4 0

Answer:

See attachment for triangle

<em></em>

Step-by-step explanation:

Given

Shape: Equilateral triangle

Perimeter = 10cm

Required

Draw the triangle

First, we determine the side lengths.

The perimeter of an equilateral triangle is:

Perimeter = 3 * Length

So, we have:

10= 3 * Length

Solve for Length

Length = \frac{10}{3}

Length = 3.33

<em>See attachment for triangle</em>

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A man invests an amount, A, into a bank
alexandr402 [8]

Answer:

The initial amount, A is approximately $19,991.1.

Step-by-step explanation:

The initial amount the man invests in the bank = A

The amount the man deposits after 15 years = $10,000

The amount in the account after 50 years = $251,894.21

The amount of money after every 15 years = 2 × Initial amount

Therefore, we have;

The amount in the account 15 years after when the man deposits another $10,000 = 2 × A

Therefore the initial amount at the 15th year = 2·A + 10000

The

We have;

2·A = A·(1 + r)¹⁵

(1 + r)¹⁵ = 2

1 + r = 2^(1/15)

r = 1 - 2^(1/15) = 0.04729412282

Therefore, we have;

On the 50th year, 50 - 15 = 35 year

$251,894.21 = (2·A + 10000)·(1 + 0.04729412282)³⁵

A = ($251,894.51/((1 + 0.04729412282)³⁵) - 10000)/2 ≈ $19991.1

The initial amount, A ≈ $19991.1.

3 0
3 years ago
Ineed help plz and thank you
Naddika [18.5K]

To write a percent as a decimal move the decimal point 2 places to the left

90% = 0.90

5 0
4 years ago
Which expression is equivalent to the given expression?
Scorpion4ik [409]

Answer:

C. 2(x-3) (x-4)

Step-by-step explanation:

From my solution

The given expression is divisible by 2 all through

so 2 is factorised and then the other expression: x²-7x+12

can be factorised as a quadratic equation

-7x is same as -3x-4x

<em>Also,</em><em> </em> [-3 * -4 = 12]

4 0
3 years ago
Select the correct responses in the table. The relationship between two numbers is described below, where x represents the first
zhenek [66]

9514 1404 393

Answer:

  • x² = y + 16
  • 4y - 1 = 7x
  • (5, 9)

Step-by-step explanation:

Writing equations from words is mostly a matter of understanding what the English words mean.

If the first number is x, then the square of the first number is x². That is said to be equal to the sum of the second number (y) and 16:

  x² = y + 16 . . . . the first equation

The wording "the difference of A and B" is usually intended to be interpreted to mean A-B. Here, we have the difference of 4 times the second number (4y) and 1, so ...

  4y -1

This is equal to the first number (x) multiplied by 7, so ...

  4y -1 = 7x . . . . the second equation

__

These can be solved a variety of ways. When no method is specified, I like to use a graphing calculator. It shows the only integer solution for this pair of equations is ...

  (x, y) = (5, 9)

3 0
3 years ago
Which expression can be used to find the arc length of the sector shown?
choli [55]

Answer:

A

Step-by-step explanation:

<em>I just did this one</em>

7 0
3 years ago
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