Volume of the prism:
V = B · h, where B stays for the area of the base and h stays for the height of the prism. And we know that d1 = 8, d2 = 6
B = ( d1 · d2 ) / 2 = ( 8 · 6 ) / 2 = 48 / 2 = 24
V = 24 · 16 = 384
Answer:
The volume of the prism is 384 cubic units.
D
working :
y=k/x
when k=2.8
y=2.8/x
sub y=22.4,
22.4=2.8/x
x=2.8/22.4
x=0.125
Answer:
x = 20
Step-by-step explanation:
x + 3x + 100 = 180
4x + 100 = 180
-100 -100
_________________-
4x = 80
/4 . /4
__________
x = 20
Hope this helps :)
(If you need it explained in words just let me know)
There are various ways to solve this. I will solve by elimination which seems easier:
I multiply the top equation by 1/2 to get 1/4y so I can eliminate y:
-3x/8 + 1y/4 = -1 Now add the second equation:
1x/5 - 1y/4 = -6 This gives:
------------------------------------
-3x/8 + 1x/5 = -7 Get a common denominator:
-15x/40 + 8x/40 = -7 Now add fractions:
-7x/40 = -7 Multiply by the reciprocal(-40/7):
x = 7 × 40 / 7 Simplify:
x = 40.
Now plug in 40 for x in one of the equations and solve for y (2nd equation looks easier):
1(40)/5 - 1y/4 = -6
8 - y/4 = -6 subtract 8
-y/4 = -14 multiply by 4
-y = -56
y = 56.
So we got x=40 and y=(56) new lets check!
-3(40)/4 + (56)/2 = -2
-3(10) + 28 = -2
-30 + 28 = -2
-2 = -2.
<span>216,000,000
</span><span>2.2 × 10 to the 3rd power = 2.2 * 10^3 = 2,200
</span>3.1 × 10 to the 7th power = 3.1 * 10^7 = 31,000,000
<span>310,000
Increasing order:
</span>2,200 , 310,000 , 216,000,000 , 31,000,000
So increasing order with original numbers:
2.2 × 10 to the 3rd power, 310,000, <span>216,000,000, 3.1 × 10 to the 7th power</span>