Answer:
blue : red
7 : 12
Step-by-step explanation:
blue : red
28 48
Divide each by 4
28/4 48/4
7 12
blue : red
7 : 12
(a + 1)(a² + 2a + 1)
= a(a² + 2a + 1) + 1(a² + 2a + 1)
= a³ + 2a² + a + a² + 2a + 1
= a³ + 3a² + 3a + 1
Answer: b
Answer:
A = 20.5 sq units
Step-by-step explanation:
you have the height of 5 but need to figure out the base
we can use the Pythagorean Theorem two times to find it
1) a² + 5² = 7²
a² = 49-25
a =
=
·
= 2
2) b² + 5² = 6²
b² = 36-25
b = 
Base = 2
+ 
A = 1/2 x 5· (2
+
)
A = 2.5 · (2
+
)
A = 2.5(8.2)
A = 20.5
Answer:
If it multiplies by 3 each hour, you would divide by three if you are looking for the first term. It is Geometric Sequence.
Step-by-step explanation:
100,000/3=33333.3333333 (1/3)
Answer:
<h2>Approximately 141 malt balls</h2>
Step-by-step explanation:
this problem is on the mensuration of solids shapes.
first we need to calculate the volume of the rectangular prism
volume of prsim= l*b*h
given that
length= 1.5 in
breath=2.5 in
hieght= 6 in
volume= 1.5*2.5*6
volume=22.5 in^3
secondly we then calculate the volume of a malt ball
given that
raduis r= 0.34
volume of sphere = 4/3πr^3
volume of sphere = 4/3*3.124*(0.34)^3
volume of sphere = 1.33*3.142*0.039
volume of sphere = 0.16 in^3
now we can calculate the amount of sphere that can fit into the prism as
= volume of prism/volume of sphere
= 22.5/0.16
=140.6
approximately 141 malt balls