1 3/4 for each batch to make 2 1/2 batches you need to take the amount of raisins for one batch 1 3/4 and multiply it by 2 1/2 the amount of batches.
1 3/4*2 1/2= 4 3/8 cups of raisins
We know that
[area of a regular hexagon]=6*[area of one <span>equilateral triangle]
</span>210.44=6*[area of one equilateral triangle]
[area of one equilateral triangle]=210.44/6-----> 35.07 cm²
[area of one equilateral triangle]=b*h/2
h=7.794 cm
b=2*area/h------> b=2*35.07/7.794------>b= 9 cm
the length side of a regular hexagon is 9 cm
<span>applying the Pythagorean theorem
</span>r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm
<span>this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)
</span>
the answer is
the radius is 9 cm
Answer:
the complete question in the attached figure
we have that
f(x)=3x/(4x²-4)
we know that
the denominator can not be zero
so
(4x²-4)=0
4x²=4
x²=1----> x=(+/-)√1
x1=1
x2=-1
the values of x=1 and x= -1 make the denominator zero, therefore they do not belong to the domain of the function
the answer is
the domain of the function is all real numbers except 1 and -1
Answer:
Objective Function: P = 2x + 3y + z
Subject to Constraints:
3x + 2y ≤ 5
2x + y – z ≤ 13
z ≤ 4
x,y,z≥0
Step-by-step explanation:
Answer:
Probably the 1st picture.
Step-by-step explanation:
keep in mind, the center is 0.
