Answer:
105
For the 4 triangular faces, find the area with 1/2 × base × height = 1/2 × 5 × 8 = 20
4 triangles -> 20 × 4 = 80
The area of the square base is 25
80 + 25 - 105 
For every 6 dumplings bought, you get charged $3.00 plus 7 cents for every dollar. Hope this helps:)
6y+1>=10
Subtract 1 from both sides
6y>=9
Divide 6 on both sides so that the only thing remaing on the left side is the variable y.
Final Answer: y>= 1.5 or 1 1/2
We are given polynomial:
.
We need to explain why the binomial (x + 2) IS a factor of this polynomial expression and why the binomial (x + 1) IS NOT a factor of this polynomial expression.
Let us set first factor equal to 0 and solve for x.
x+2=0
x=-2.
Plugging x=-2 in given polynomial, we get



<em>Because x=-2 gives 0 on plugging in given polynomial, so it's factor of given polynomial expression.</em>
Now, let us check second factor x+1=0
x=-1.
Plugging x=-1 in given polynomial, we get

=-5+8+7-6.
= -4.
<em>Because x=-1 doesn't gives 0 on plugging in given polynomial, so it's not a factor of given polynomial expression.</em>
Answer:
Below.
Step-by-step explanation:
a) A = {1, 2, 5, 10}
b) B = {1, 3, 5, 15}
c) A∩B = {1, 5} ( elements common to A and B).
d) A∪B = {1, 2, 3, 5, 10, 15} (total elements in A and B).