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3 years ago

1.When two variables are proportional which of the following is constant?

Mathematics

1 answer:

grin007 [14]3 years ago

5 0

Answer:

Their Ratio

Step-by-step explanation:

You switched the numbers 2 and 3 btw

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Please answer ASAP I will give you brainliest

RideAnS [48]

Answer:

a = 11

b = 6

Step-by-step explanation:

$\frac{5 + 2 \sqrt{3} }{7 + 4 \sqrt{3} } = a - b \sqrt{3} \\ \\ \frac{(5 + 2 \sqrt{3} )}{(7 + 4 \sqrt{3}) } \times \frac{(7 - 4 \sqrt{3})}{(7 - 4 \sqrt{3})} = a - b \sqrt{3} \\ \\ \frac{(5 + 2 \sqrt{3)} (7 - 4 \sqrt{3} )}{ {(7)}^{2} - {(4 \sqrt{3} )}^{2} } a - b \sqrt{3} \\ \\ \frac{35 - 20 \sqrt{3} + 14 \sqrt{3} - 24 }{49 - 48} = a - b \sqrt{3} \\ \\ \frac{11 - 6 \sqrt{3}}{1} = a - b \sqrt{3} \\ \\ 11 - 6 \sqrt{3} = a - b \sqrt{3} \\ \\ equating \: like \: terms \: on \: both \: \\ sides, \: we \: find : \\ \\ a = 11 \\ \\ b = 6$

8 0

3 years ago

Martha is buying a house for $107,820. She is making 15 percent down payment and financing the remainder at 6.5 percent for 25 y

stellarik [79]

Given:
Total price : 107,820
down payment 15% of the total price.
financing the remainder at 6.5% for 25 years.

How much is she financing? She will finance 85% of the total price.

107,820 * 15% = 16,173
107,820 - 16,173 = 91,647

or
107,820 * (100-15)% = 107,820 * 85% = 91,647

7 0

3 years ago

Read 2 more answers

Is 42ft equal to less or greater than 180 inches

Anni [7]

42 Feet is Greater than 180 Inches

Because: 1 Foot= 12 Inches

So: 12*42= 540 Inches.

So 42 Feet is Greater.

4 0

3 years ago

How to find the missing sides and angles on congruent figures

mixer [17]

I would like for you to be a bit more specific in your question, but, generally, congruent figures have both angles and sides measurements equal to each other. This means that they have to be of the same shape too. So if you know that one side of a figure is 5 units, for example, then the same side of another congruent figure is also going to be 5 units.

4 0

3 years ago

I need help with an area math question

Ede4ka [16]

Answer:

Step-by-step explanation:

Area of outer triangle = $\dfrac{4x*(4x+3)}{2}= 2x*(4x +3)$

= 2x*4x + 2x*3

= 8x² + 6x

Area of inner triangle= $\dfrac{2x*(2x+5)}{2}=x*(2x+5)=x*2x+x*5=2x^{2} + 5x$

Area of aluminium = area of outer triangle - area of inner triangle

= 8x² + 6x + 2x² + 5x

= 10x² + 11x

Area of 20 aluminum borders = 20*(10x² + 11x) = 200x² + 220x

b) x = 25 cm

Area of 20 aluminum borders = 200*25² + 220*25

= 200 * 625 + 220*25

= 125000 + 5500

= 130500 cm²

c) Area of inner triangle (Glass) = 5500 cm²

Cost of aluminium = 130500 * 0.06 = $ 7830

Cost of glass = 5500 * 0.03 = $ 165

Cost of making 20 windows = 7830 + 165 = $ 7995

7 0

3 years ago