Answer:
Step-by-step explanation:
(a + b + c)³ = a³ + b³ + c³ + 3a²b + 3a²c + 3ab² + 3cb² +3 ac² + 3bc² + 6abc
a = 5a ; b =y ; c = z
(5x + y + z)(5z + y + z )(5z + y +z) = (5x + y +z)³
= (5x)³ + y³ +z³ + 3(5x)²y + 3(5x)²z + 3(5x)*y² + 3*z*y² + 3*5x*z² + 3*y*z² + 6*5x*y*z
= 125x³ + y³ +z³ + 3*25x²y + 3*25x²*z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz
= 125x³ + y³ + z³ + 75x²y + 75x²z + 15xy² + 3zy² + 15xz² + 3yz² + 35xyz
Answer:
84%
Step-by-step explanation:
The percentage of pink shirts
= 9/200 × 100%
= 9/2
= 4.5%
The percentage of orange shirts
= 69/600 × 100%
= 69/6
= 11.5%
The percentage of the shirts which are not pink or orange
= 1 - 4.5% - 11.5%
= 84%
<u>Alternative</u>
Find their common denominator.
9/200
= 9×3 / 200×3
= 27/600
The total percentage of shirts in pink and orange
= (27/600 + 69/600) × 100%
= 96/600 × 100%
= 16%
The percentage of the shirts which are not pink or orange
= 1 - 16%
= 84%
Answer:
C. Exponential decay
Step-by-step explanation:
Answer:
Scalene acute triangle
Step-by-step explanation:
And acute has less than 90 degrees all of them are less than 90 which makes it acute, scalene
0.5 < x < 16.5 given: Two sides of triangle: 8.0 units and 8.5 units
Measure of third side = x
According to the triangle's inequality,
Sum of any two sides > third side. (i)
Difference between the sides < third side. (ii)
If x is the third side, then
x < 8+8.5 [Using (i)]
i.e. x< 16.5
Also, x > 8.5-8 [Using (ii)]
i.e. x> 0.5
Hence, Range of possible sizes for side x would be 0.5 < x < 16.5.
