Answer:
Scale factor =
Perimeter ratio = 4 : 9
Surface area ratio = 16 : 81
Volume ratio = 64 : 729
Step-by-step explanation:
Volume ratio =
=
=
= 64 : 729
Scale factor =
=
=
Perimeter ratio = Scale factor
=
= 4 : 9
Surface area ratio = (Scale factor)²
=
=
= 16 : 81
Answer:
The given coordinates of the points A and C of the right triangle ABC are (2, 5) and (-2, 3) respectively
The possible pairs of the coordinates of the point B are found as follows;
1) Draw a horizontal line from the point C to the right and a vertical line down from the point A to get the point B at (2, 3) which is the point of the perpendicular intersection of the two constructed lines above
2) Draw a vertical line from the point C upwards and a horizontal line to the left from the point A to get the point B at (-2, 5) which is the point of the perpendicular intersection of the two newly constructed lines here
Step-by-step explanation:
Answer:
Step-by-step explanation:
An apothem is a perpendicular drawn from the centre of the triangle to one of its sides.
The three apothems OD, OE, and OF divide ∆ABC into six smaller congruent triangles.
1. Area of ∆OCD
CotOCD = OD/OC
cot30 = CD/6
√3 = CD/6
CD = 6√3
A= ½bh
A = ½ × 6√3 × 6 = 18√3 in²
2. Area of ∆ABC
A = 6 × area of ∆OCD = 6 × 18√3 = 108√3 in²
Answer:
15 miles/hour = 0.25 miles/minute
The cyclist would have traveled 5 miles in 20 minutes.
Step-by-step explanation:
15 miles per hour is written as
15 miles/hour
To convert 15 miles/hour to miles/minute
From 1 hour = 60 minutes
∴ 15 miles/hour = 15 miles/ 60 minutes
= (15/60) miles/minute
= 0.25 miles/minute
To calculate how many miles the cyclist will travel in 20 minutes
That is, Time, t = 20 minutes
Velocity, v = 15 miles/hour = 0.25 miles/minute
Distance, s = ??
From,
∴ ×
×
Hence, The cyclist would have traveled 5 miles in 20 minutes.