Answer:
A prism whose cross-section is a 60-sided polygon has 120 vertices.
Step-by-step explanation:
A polygon has the same quantity of sides and vertices, as a prism has two poligonal faces, the number of vertices is double the quantity of vertices of the 60-sided polygon. That is:
A prism whose cross-section is a 60-sided polygon has 120 vertices.
First you need to find the second base (b2) by plugging all the values into the area of a trapezoid formula.
A= 1/2 (b1+b2)h
After plugging it in you will find that b2= 21.3.
The questions is asking perimeter so you add all the sides together...
14.4+18.5+14.7+21.3= 68.9 ft
Hope it helps
Answer:
Step-by-step explanation:
If MP bisects ∠BMS, then the line MP divides <BMS equally;
The adition postulate if therefore true;
<BMP +< PMS = <BMS and <BMP = < PMS
The equation becomes;
<BMP +< BMP= <BMS
2 <BMP = <BMS
2(2x+9) = 7x - 3
4x+18 = 7x-3
collect like terms
4x-7x = -3-18
-3x = -21
x = 21/3
x = 7
Since <BMP = < PMS 2x+9
< PMS = 2(7)+9
< PMS = 14+9
< PMS = 23
Hence the value of < PMS is 23
Hey there!
9:19
This is because there are 19 total people taking dance lessons - 9 + 10 - and there are 9 girls taking dance lessons, so the ratio is girls to total students, or 9:19
Hope it helps and have a great day!
Answer:
Check bolded below
Step-by-step explanation:
1)radius = 10 in (given), diameter = 2*radius = 2(10 in) = 20 in
formula for circumference => 2πr => 2π(10)
circumference = 20π in
2)diameter = 12 ft (given), radius = 1/2*diameter = 1/2(12 ft) = 6 ft
formula for circumference => 2πr => 2π(6)
circumference = 12π ft
3)radius = 3 m (given), diameter = 2*radius = 2(3 m) = 6 m
formula for circumference => 2πr => 2π(3)
circumference = 6π m
4)diameter = 18 cm (given), radius = 1/2*diameter = 1/2(18 cm) = 9 cm
formula for circumference => 2πr => 2π(9)
circumference = 18π cm
