Answer: a) see image (below)
b) S ∩ M = 237
c) S U M = 598
<u>Step-by-step explanation:</u>
b) Total students = 685
Not sports or music = 87
Sports Total = 385
Music Total = 450
Both Sports and Music is their intersection:
S ∩ M = S + M + N - T
= 385 + 450 + 87 - 685
= 237
c) Sports only = S - (S ∩ M)
= 385 - 237
= 148
Music only = M - (S ∩ M)
= 450 - 237
= 213
Sports OR Music is their union:
S U M = S + M - (S ∩ M)
= 385 + 450 - 237
= 598
Answer:
Number of terms: n=6
Step-by-step explanation:
We are given:
a₁ = 0.75
r = 4
Sₙ = 1023.75
We need to find number of terms i.e n
The formula used will be:
Putting values and fining n
We know that 
Using Exponent rule: 
So, Number of terms: n=6
Answer = 1/5 and 4
solved by middle term breaking
First you have 2 triangles and 3 rectangles so you will get the area of 5 of them
for the first face of rectangle
2.5x10=25
second face
2x10=20
for the third rectangle which is the base
10x1.5=15
for the two triangles
1/2xBasexHeight
1/2x1.5x2=1.5 ——> this is for one triangle so multiply by 2 to get both triangles
1.5x2=3
so the total surface area is equal to 3+25+20+15=63
Answer:
156
Step-by-step explanation:
to find length you do area/width. So 1248/8=156
