Answer:
Yes, the polygons are similar.
Step-by-step explanation:
A similar polygon is a polygon that shares the same scale factor as another polygon. A scale factor is a number you can multiply each side by to get a similar figure,
Step 1:
Divide a few of the sides. You do not need to divide every side to find the ratio, but do at least 2 or 3 to guarantee that the scale factor remains the same throughout the sides. Let’s divide a few pairs of sides.
Step 2:
To really be safe, even though we can clearly tell this is a similar figure, is we can multiply each side on the right figure by 1.5, our scale factor, and see if we generate the sides on the left figure.
And this is why the polygons are similar :)
For this question you would divide $8.52 by 36 pencils to get about $0.24 per pencil for brand A rounded to the nearest cent. Then divide $9.98 by 48 pencils to get about $0.21 per pencil for brand B rounded to the nearest cent.
Answer:
2 parts white paint
Step-by-step explanation:
Blue : white
3 : 1
We use 6 parts blue
3 *2 =6
So multiply each part by 2
Blue : white
3*2 : 1*2
6 : 2
She uses 2 parts white paint
Answer:
59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.
Step-by-step explanation:
Step 1
Express the angle of inclination as follows;
Tan∅=H/R
where;
∅=angle of inclination
H=vertical rise
R=distance of run
Step 2
Determine the angle inclination when;
H=3 feet
R=2 feet
replacing;
Tan∅=(3/2)=1.5
∅=Tan^(-1)(1.5)
∅=56.31°
Determine the angle inclination when;
H=5 feet
R=3 feet
replacing;
Tan∅=(5/3)=1.67
∅=Tan^(-1)(1.67)
∅=59.03°
59.03° is greater than 56.31°' This means that the sliding pole that rises 5 feet for every 3 feet of run making an angle of inclination of 59.03° is steeper than the angle of inclination made by a sliding pole that rises 3 feet for every 2 feet run.
