Answer:
<h3>50m</h3>
Step-by-step explanation:
Given the dimension
Length of the rectangle = 8cm
Width = 5cm
Note that when the scale was 1:7, syla multiplied the width by a factor of 7 i.e 5*7 = 35m
If syla changes the the scale to 1 cm : 10 m for the rectangle, then the width of the shorter side will be multiplied by a factor of 10 due to the change in scale i.e;
5 * 10 = 50m
Hence the width of the new stage will be 50 m
Answer:
volume of cuboid=l×b×h=8×4×4=128cm³
volume of half cylinder=1/2(π(d/2)²h)=1/2×22/7×8=12.57cm²
volume of figure=128-12.57=115.43cm²
Answer:

Step-by-step explanation:
Total number of the students in the pep squad = 12 students
The number of the students wearing white shirts = 3 students
The number of the students wearing blue shirts = 6 students
Either white or blue shirts indicate that the students wearing white shirt or blue shirt.
Thus, number of students wearing either white or a blue shirt = 3 + 6 students = 9 students
So,
The fraction is:- 
Use pythagorean theorem:
sin^2 + cos^2 = 1
(-1/3)^2 + cos^2 = 1
1/9 + cos^2 = 1
cos^2 = 8/9
cos = +- sqrt(8)/sqrt(9) = +- 2sqrt(2)/3
Determine whether cos is positive or negative by looking at which quadrant the angle is in.
pi < theta < 3pi/2 ---> this is 3rd quadrant where x or cos is negative
Therefore cos(theta) = -2sqrt(2)/3
Answer:
that as a fraction is 3 and 201 over 500