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jek_recluse [69]
3 years ago
6

The area of a square floor on a scale drawing is 100 sq cm, and the scale of the drawing is 1cm:2ft. What is the area of the act

ual floor? What is the ratio of the area in the drawing to the actual area?
Mathematics
1 answer:
likoan [24]3 years ago
7 0
Square root of 100 = 10 cm. Next, 10*2 = 20^2 = 400 ft. Next, convert cm into ft, which would make 100 into about 3.3 ft. The ratio would then be about 3/400. Does that help?
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Studying for the act and I'm really bad at math, please help!
Bond [772]
We are given the ratio of 1/2 inch: 18 miles

Multiply both sides of the ratio by 2. I'm doing this so that the "1/2" turns into "1"
So we go from this ratio
1/2 inch: 18 miles
to this ratio 
1 inch: 36 miles
which means that every inch on paper represents 36 miles in real life

----------------------------------------------------------------

The question is now: if two towns are 2.5 inches apart on paper, then how far are they in real life? (note: 2.5 is the decimal form of 2 and a half)

To find out, multiply both sides by 2.5
1 inch: 36 miles
2.5*(1 inch): 2.5*(36 miles)
2.5 inches: 90 miles

--------------------------------------------------------------------------

Answer: The two towns are 90 miles apart in real life
5 0
3 years ago
What is the area of an equalateral triangle of side length x?
OLEGan [10]
First you need to make a line that is perpendicular to one side. The diagram is shown below. then the length of the line that is perpendicular to the triangle is
\frac{ \sqrt{3}x }{2}
then the area of the equilateral triangle equals to
\frac{1}{2} height  \times base
so the area would be
\frac{ \sqrt{3} {x}^{2}  }{4}

5 0
3 years ago
If $190 is invested at an interest rate of 11% per year and is compounded continuously, how much will the investment be worth in
dangina [55]

Answer:

$295.01

Step-by-step explanation:

Using the compounding continuously formula, we are looking for A.  We have that P = 190; r = .11 (always use the decimal form of the rate!); and t = 4.  Filling in we have:

A=190e^{(.11)(4)}

Simplifying that multiplication:

A=190e^{.44}.

On your calculator, raise e to the .44 power to get

A = 190(1.552707219) and

A = $295.01

5 0
3 years ago
Can someone help with the two triangle questions (will mark brainliest!!)
yaroslaw [1]

Answer: Number 1 is c=89 ft

Number 2 is b=3 cm

Step-by-step explanation: a²+b²=c²

For number 1, 39 ft is a and 80 ft is b so

39²+80²=c² so 39² is 39x39=1521 and 80² is 80x80=6400 so 6400+1521=7921

7921=c² and the square root of 7921 is 89 so c=89 ft

For number 2, a=1.6 cm and c=3.4 cm so 3.4²-1.6²=b²

3.4² so 3.4x3.4 which is 11.56

1.6² so 1.6x1.6 which is 2.56

11.56-2.56=c² and 11.56-2.56=9

Square root of 9 is 3 so b=3

So number 2 answer is b=3 cm

I hope this helps

4 0
2 years ago
If the measure of angle ACB is 50 degrees, what is the measure of angle AOB
kodGreya [7K]

The answer is 100 degree

8 0
2 years ago
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