Answer: The correct option is fourth, i.e., 1935 cm³.
Explanation:
It is given that the vase is 30 cm tall and the hexagon base has an area of 64.5 cm².
The area of a hexagon base is,

Where, a is the side length.
The volume of the a hexagon glass is,


Where, A is area of base of hexagon and h is height of the hexagon glass.


Therefore the volume of the glass is 1935 cm³ and the glass can hold 1935 cm³ water. So, fourth option is correct.
Answer:
C
Step-by-step explanation:
The pre-image of a reduction is always bigger. Reduction means to "get smaller," so the pre-image needs to be bigger than the ending image.
Answer:
infinite solutions
Step-by-step explanation:
Simplify 3x-x-53x−x−5 to 2x-52x−5.
2x-5=2(x+2)-92x−5=2(x+2)−9
2 Expand.
2x-5=2x+4-92x−5=2x+4−9
3 Simplify 2x+4-92x+4−9 to 2x-52x−5.
2x-5=2x-52x−5=2x−5
4 Since both sides equal, there are infinitely many solutions.
Infinitely Many Solutions
Answer:
$102
Step-by-step explanation:
We need to build a system of equations for this question.
I am going to call x the value Lawson will pay to Expert Card, y the value he will pay to passport and z the value he will pay to US Speedy.
He will pay $612 in all, so x+y+z = 612.
He will pay 5 times as much to Expert Card as US Speedy, so x = 5z.
The passport payment will be only 20% of the total of the other two payments. So y = 0.2(x+z).
Now we have the following system of equations:
1)x+y+z = 612
2)x = 5z
3)y = 0.2(x+z)
And we need to find y.
I will put 2) and 3) at 1). We end up with:
5z + 0.2(5z+z)+z = 612
5z + 1.2z + z = 612
7.2z = 612
z = $85
Knowing z, now we can find y at 3)
y = 0.2(x+z)
y = 0.2(5z+z)
y = 1.2z
y = 1.2(85)
y = $102
Lawson will pay $102 towards the passport credit balance.
Answer:
Step-by-step explanation:
the answer to this question is 49