Answer:
Step-by-step explanation:
In general:
Volume = (the area of the base of the figure) times (the figure's height)
Here, the area of the base is 4 square feet, the height is 2 1/2 foot = 5/2 foot
Our Volume is then:
4 square feet * 5/2 foot = 10 cubic feet
Answer:
Step-by-step explanation:
Ok, so the slope has to be the same because it’s parallel.
y=2/3x+1
slope=2/3
y=-2
x=-5
y=2/3x+ what
-2=-3 1/3 + what
1 1/3
hence, y=2/3x+4/3
We know that
applying the law of cosines
a² = b²+ c²<span> – 2*b*c*cos(A)
</span>
in this problem
a=?
b=20
c=9
A=90°
so
a² = b²+ c² – 2*b*c*cos(A)
but
cos (A)=0
a² = b²+ c²-----> 20²+9²----> a²=400+81----> a²=481-----> a=√481
a=21.93-----> a=22
the answer is
22
Answer: Nick must now at least 6 yards.
Step-by-step explanation:
Since Nick has $80 saved already, and he makes $40 per yard that he mows, thus can be put up in an equation as:
= 80 + 40y
where y = number of yards
Since Nick needs to raise at least $320 for his trip, the equation to solve this will be:
80 + 40x ≥ 320
40x ≥ 320 - 80
40x ≥ 240
x ≥ 240/40
x ≥ 6
Therefore, Nick must now at least 6 yards.
Answer:
19th day
Step-by-step explanation:
So say Lily was 1 when Lily was planted
First day Lily is 2
Second day Lily is 4
Third day Lily is 8
etc...
See the pattern?
The pattern is 2^x
On the 20th day, Lily was 2^20
So when Lily was half, Lily was 2^20 / 2
2^x = 2^20 / 2
2^x = 2^19
On the 19th day, Lily was half.