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ICE Princess25 [194]
3 years ago
7

How do I solve for question number 6

Mathematics
1 answer:
Natali5045456 [20]3 years ago
5 0

Answer:

18 + 18\sqrt{3}

Step-by-step explanation:

The rectangle has been split into two right triangles. The hypotenuse of the triangle (the diagonal) is 18. The angle in the triangle is 30. All right triangles have unique relationships between their sides depending on the angles. This triangle must be a 30 - 60 - 90 triangle and its sides will be a scaled version of 1 - \sqrt{3} -2.

The side 2 correspond to the hypotenuse of length 18. 2*9 = 18 and so the scale factor is 9. To find the remaining sides, multiply each side length by 9 from 1 - \sqrt{3} -2.

It becomes 9 - 9\sqrt{3}-18. So the rectangle is 9 by 9\sqrt{3}.

The perimeter of the rectangle is 9 + 9 + 9\sqrt{3} + 9\sqrt{3}=18 + 18\sqrt{3}

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bekas [8.4K]

Explanation. The given triangle is an equilateral triangle. Hence, all angles are equal to 60°. x = 180° – 60° = 120°.

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2 years ago
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Ethan has a total of $5,800. He deposits $4,500 into a savings account which earns an
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Answer:

4.8% of $4,500 = $216

Step-by-step explanation:

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4 0
3 years ago
Matt and his siblings bought their mom her favorite perfume for her birthday. They gave the cashier $80. The cashier gave them b
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Answer:

$64.15

Step-by-step explanation:

to solve this problem, first we should figure out how much money that the cashier gave them back, and then subtract that from $80 (which was what Matt and his siblings gave the cashier) to find out how much the perfume cost.

it is given that:

they gave the cashier $80.

the cashier gave them back 1 ten-dollar bill ($10), 1 five-dollar bill ($5), 8 dimes ($0.80 or 80 cents) , and 1 nickel ($0.05 or 5 cents)

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8 0
3 years ago
The product of 4, and a number increased by 8, is -48
german

Answer:

4n + 8 = -48

n = -14

Step-by-step explanation:

Using key words from the problem, you can set up an equation with the proper operations to solve for the variable.  Product = multiplication, so the 'product of 4 and a number' = 4n.  Increased = addition, so increased by 8 = 4n + 8.  The word 'is' means equal to, so:

4n + 8  = -48

In order to solve for 'n', you use inverse (opposite) operations and whatever you do to one side of the equation, you do to the other:

Subtract 8:  4n + 8 - 8 = -48 - 8 or 4n = -56

Divide 4:  4n/4 = -56/4

Solve for 'n':  n = -14

8 0
3 years ago
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igomit [66]

Answer:

y = 52 - 8x

Step-by-step explanation:

Add both axisis together, nd divide

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