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aleksandrvk [35]
3 years ago
13

Use a ruler and compasses to construct an equilateral triangle with sides of length 6cm ​

Mathematics
1 answer:
UNO [17]3 years ago
4 0

At first you need to draw a line measuring 6cm with a ruler then take a compass and take the 6 cm wide measure and draw an arc pointing from a end ,above the line ,do same from another point . Then you will see a point cut at the top then join the top point with each line's end and an equilateral triangle is formed.!! !

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Melanie is looking for a loan. She is willing to pay no more than an effective rate of 9.955% annually. Which, if any, of the fo
lakkis [162]

Answer:

c) A and B, being r(loan a)= 9.699% annually, r(loan b)=9.862% annual

Step-by-step explanation:

Hi, well, let´s transform all this nominal rates into effective annual rates.

Loan A: 9.265% nominal rate, compounded weekly

In order to find the easiest effective rate, we need to divide this rate by 52 (which are the weeks in a year). Once we do that, we convert this effective weekly rate into an effective annual rate. Let´s walk you through all this.

r(E.week)=\frac{0.09265}{52} =0.00178173

Or 0.178173% effective weekly. Now we can transform it into an effective annual rate.

r(e.a)=(1+r(e.week))^{52} -1

r(e.a)=(1+0.00178173)^{52} -1=0.09699

Or 9.669% annual, which is less than 9.955%, so this one is sellected, let´s check the next.

Loan B: 9.442% nominal rate, compounded monthly

Just like we did with Loan A, we need to divide this rate too, only this time, we will divide by 12, therefore obtaining an effective monthly rate.

r(E.month)=\frac{0.09442}{12} =0.00786833

Or 0.786833% effective monthly, let´s turn it into a effective annual rate.

r(e.a)=(1+r(e.month))^{12} -1

r(e.a)=(1+0.00786833)^{12} -1=0.09862

Or 9.862% annual, so this rate would work for Melanie too. This means that option C) is the answer we are looking for but, let´s walk that extra mile and turn that Loan C rate into an annual rate.

r(E.quarter)=\frac{0.09719}{4}=0.0242975

or 2.42975% effective quarterly, now, let´s convert it into an effective annual rate.

r(e.a)=(1+0.0242975)^{12} -1=0.10079

That is 10.079% effective annual, therefore, Loan C is not an option for Melanie.

Best of Luck.

5 0
3 years ago
Read 2 more answers
Help me please FOR A GRADE ‼️ What is an equation of the line that is parallel to Y=4x-1 one and that passes through the point -
Sliva [168]

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0, or (0,y))


For lines to be parallel, their slopes have to be the SAME.


The given line's slope is 4, so the parallel line's slope is also 4.

y = 4x + b

To find "b", plug in the point (-3,5) into the equation.

y = 4x + b

5 = 4(-3) + b

5 = -12 + b    Add 12 on both sides

17 = b



y = 4x + 17

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4 years ago
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Not sure about 1 and 8, I think there trapezoids but not sure.

2 is a square

3 is a rectangle

4 and 10 are a rhombus

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7 is a square

can't really see 9

can't really see 12

Hope that helped.

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The concentration determined for an unknown sample of hydrochloric acid by a student is 0.1354 M.According to the instructor’s i
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Answer:

Step-by-step explanation:

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Which of the following is considered to be the 3 dimensional figure
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Answer:

huhohou

Step-by-step explanation:

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