Answer:
151 in^3
Step-by-step explanation:
The rocket consists of two shapes - a cone and a cylinder
the volume of the plastic = volume of cone + volume of cylinder
volume of a cylinder = nr^2h
Volume of a cone 1/3(nr^2h)
n = 22/7
r = radius
the diameter is the straight line that passes through the center of a circle and touches the two edges of the circle.
A radius is half of the diameter
Radius = 5/2 = 2.5
Height of cone = 11 - 6 = 5
Volume of plastic = (22/7) x (2/5^2) x 6 + (1/3) x (22/7) x (2/5^2) x 5 = 117.9 + 32.7 = 150.6 in^3 = 151
if you meant x^2+9x+20 then it is (x+4)(x+5) you know that because 4+5=9 and 4x5=20 using FOIL
Answer:
11.42 dollars
Step-by-step explanation: since you are adding a percentage turn 20% into a decimal. if you do this you will get .2. Next, multiple .2 by 9.52 and you will get 20% of 9.52. Now add this value to 9.52 and you will get 11.42 dollars.
Answer:
We are effectively looking for a and b such that 5, a, b, 135 is a geometric sequence.
This sequence has common ratio <span><span>3<span>√<span>1355</span></span></span>=3</span>, hence <span>a=15</span> and <span>b=45</span>
Explanation:
In a geometric sequence, each intermediate term is the geometric mean of the term before it and the term after it.
So we want to find a and b such that 5, a, b, 135 is a geometric sequence.
If the common ratio is r then:
<span><span>a=5r</span><span>b=ar=5<span>r2</span></span><span>135=br=5<span>r3</span></span></span>
Hence <span><span>r3</span>=<span>1355</span>=27</span>, so <span>r=<span>3<span>√27</span></span>=3</span>
Then <span>a=5r=15</span> and <span>b=ar=15⋅3=45</span>
