Answer:
E) 150°
Step-by-step explanation:
angle adjacent to 70° angle is 110°
the angle supplemental to 'x' must be 180-(40+110) or 30°
this means 'x' must be 150°
Answer:
Step-by-step explanation:
3(x-2)(x-2)-8=5
3[x^2-4x+4]-8-5=0
3x^2-12x+12-13=0
3x^2-12x-1=0
use the quadratic formula to find x { -b+-sqrt(b^2-4ac) } / 2a
where a =3 , b=-12 and c =-1 from our equation above
{ -(-12)+- sqrt[ (-12)^2 - 4(3)(-1) ] } / [2(3)]
{ 12 +- sqrt [ 144 + 12 ] } / 6
{ 12 +- sqrt (156) } / 6
2 +- {sqrt ( 4 *13) } / 6
2 +- { 2 sqrt (13) } /6
2 +- sqrt (13) /3
there you go :)
Answer:
1πcm
Step-by-step explanation:
do you have another question to ask pls if you have ask
For a binomial expansion with exponent 5, the general equation is as follows
(x + y)⁵ = x⁵ + 5x⁴y + 10x³y² + 10x²y³ + 5xy⁴ + y⁵
when expanded from left to right the powers of x decrease from 5 to 0 and powers of y increase from 0 to 5
substitute x =2x and y = 5
(2x + 5)⁵ = (2x)⁵ + 5(2x)⁴5 + 10(2x)³5² + 10(2x)²5³ + 5(2x)5⁴ + 5⁵
<span>= 32x⁵ + 400x⁴ + 2000x³ + 5000x² + 6250x + 3125
</span>we use the pascals triangle to find the coefficient
we can use the binomial theorem to find the 4th term as well
exponent - 5
term - 4
5!/ (5-4)!4! * (2x)⁴5⁵⁻⁴
=120/24 *16x⁴*5
=400x⁴
Answer: There are 22 whole cheese sandwiches that can be prepared.
Step-by-step explanation:
Since we have given that
Number of slices of bread = 44
Number of slices of cheese = 75
According to question, a cheese sandwich consists of 2 slices of bread and 3 slices of cheese.
So, we need to find the number of whole cheese sandwiches that can be prepared.
Number of sandwich containing only slice of bread is given by

Number of sandwich containing only slice of cheese is given by

As we know that each sandwich should contain both slice of bread and slice of cheese.
So, Least of (22, 25) = 22
Hence, there are 22 whole cheese sandwiches that can be prepared.