9514 1404 393
Answer:
(C) Thursday on the playing fields
Step-by-step explanation:
The surface area of A is ...
SA = 6s² = 6(5 cm)² = 150 cm² = 150(0.01 m)² = 0.015 m²
This matches Monday and Thursday.
The volume of D is ...
V = Bh = (1/2bh)·h'
where b is the triangle base, h is the triangle height, and h' is the prism height.
V = (1/2)(15 cm)(8 cm)(10 cm) = 600 cm³
This matches Thursday only.
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The Accusation: Thursday on the playing fields.
One way is to sub those values for x
when x=2, z(x)=35
35=6(2)³+b(2)²-52(2)+15
35=48+4b-104+15
35=4b-41
add 41 to both sides
76=4b
divide by 4
19=b
z(x)=6x³+19x²-52x+15
and z(-5)=0
that means (x+5) is a factor
divide using synthetic division or something
(6x³+19x²-52x+15)/(x+5)=6x²-11x+3
factor
6x²-11x+3=(2x-3)(3x-1)
set each to zero
2x-3=0
2x=3
x=3/2
3x-1=0
3x=1
x=1/3
th zeroes are at x=-5, 1/3, 2/3
Answer:


Step-by-step explanation:
is the length of the hypotenuse of the triangle
.
So

The perimeter of the
is 

The Area of
would be
Area of rectangle ABEC+Area of triangle CED

The area of the figure
is
.
Answer:
answer is b
Step-by-step explanation:
.
Step-by-step explanation:
It takes Mercury approximately 58 days, 15 h, and 30 min to complete a full rotation.. We are going to write the time not in days, hours and minutes, but only hours. This means that we have to write 58 days as hours and 30 minutes as hours. 1 day is 24 hours, so 58 days are 58*24=(50+8)*(20+4)=50*20+50*4+8*20+8*4=1,000+200+160+32 =1,200+192=1,392 (hours) 60 minutes are 1 hour, so 30 minutes are 0.5 hours. Thus 58 days, 15 h, and 30 min are (1,392+15+0.5) hours = 1,407.5 hours Answer: 1,407.5 hours