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nlexa [21]
3 years ago
6

Jamal is making two paintings using canvases that are similar rectangles. The length of the smaller canvas is 3 ft and the width

is 5 ft.
What is the length of the larger canvas if the width is 10 ft?
Mathematics
2 answers:
Alex787 [66]3 years ago
4 0
Let's start with what we know:

Smaller canvas:
Length (L_{1}) = 3ft
Width (W_{1}) = 5ft

Larger canvas:
Length (L_{2}) = ?
Width (W_{2}) = 10ft

Since these are similar rectangles, we can cross-multiply to calculate the missing length. Here's that formula:

\frac{ L_{1} }{ L_{2} } =  \frac{ W_{1} }{ W_{2} }
So let's plug it all in from above:

\frac{ 3 }{ L_{2} } = \frac{ 5 }{ 10 }
Now we cross multiply by multiplying the top-left by the bottom-right and vice versa:

(3)(10) = (5)(L_{2})
30 = 5L_{2}
Now divide each side by 5 to isolate L_{2}

\frac{30}{5} =  \frac{ 5L_{2}}{5}
The 5s on the right cancel out, leaving us with:

6 =  L_{2}

So the length of the larger canvas is 6 ft
tatuchka [14]3 years ago
4 0

It's not as complicated as you think. The smaller rectangle is 3ft with a width of 5ft. It's asking what the length of the larger canvas is if the width is 10ft. So you pretty much just do 10/5 which is 2 then you multiply 3ft by 2 and you get 6ft.

If you need any help just ask :)

-John

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4 0
3 years ago
Can someone help me please it is from numbers 16 to 19 please someone
TiliK225 [7]
The <u>correct answers</u> are:

16) Mean = 10.25; Median = 10; Range = 17
17) The range.
18) 10
19) 5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.

Explanation:

16) To find the <u>mean</u>, we first find the sum of the data values in the set:
5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.

Next we divide this sum by the number of data points, 24:
246/24 = 10.25.

The <u>median</u> is the middle point of a data set.  Since there are 24 points, this will be between two values.  These two values are 10 and 10; the median is 10.

The <u>range </u>is found by subtracting the highest and lowest values:
22-5 = 17.

17) The <u>mean </u>is changed; the sum of the data values is 246.  Taking 22 out of this, the sum is now 223, and we have 23 data points instead of 24; 223/23 = 9.7 for the new mean.
The <u>median </u>does not change; it is still 10.
The <u>range</u> changes; the highest value is now 15, and the lowest is 5:  15-5=10.  The range is changed the most.

18) The <u>mean is affected</u> by the outlier and the <u>median is not</u>, so we use the <u>median</u>.  This means the answer is 10.

19) The expression for the total number of cars sold is found by adding together all of the points.
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