Answer:
n = 600(1.2)^t
Step-by-step explanation:
edge
Answer:
<em></em><em></em>
<em></em>
Step-by-step explanation:
Required
Show that:
To make the proof easier, I've added a screenshot of the triangle.
We make use of alternate angles to complete the proof.
In the attached triangle, the two angles beside are alternate to and
i.e.
Using angle on a straight line theorem, we have:
Substitute values for (1) and (2)
Rewrite as:
<em></em><em> -- proved</em>
Answer:
If 50.24cm = Circumference
Radius = 8cm
If 50.24cm^2 = Area
Radius = 4cm
Step-by-step explanation:
50.24cm what? Circumference? Area?
π = 3.14
2πr = Circumference
50.24 / 2π = r
r = 8
πr^2 = Area
50.24 / π = r^2
r^2 = 16
r = 4
<em><u>Answer:</u></em>MN = 4 units
<u><em>Explanation:</em></u><u>1- getting the value of m:</u><u>We are given that:</u>
NQ = 4m and NQ = 12
<u>This means that:</u>
12 = 4m
m = 3
<u>2- getting MQ:</u><u>We are given that:</u>
MQ = 5m + 1
<u>We have calculated that:</u>
m = 3
<u>Therefore:</u>
MQ = 5(3) + 1 = 15 + 1 = 16 units
<u>3- getting MN:</u>We are given that point N is located somewhere between points M and Q.
<u>This means that:</u>
line MQ can be divided into two portions: MN and NQ
<u>This also means that:</u>
length of MQ = length of MN + length of NQ
<u>We have calculated that:</u>
MQ = 16 units
<u>We are given that:</u>
NQ = 12 units
<u>Therefore:</u>
16 = length of MN + 12
length of MN = 16 - 12
length of MN = 4 units
Hope this helps :)
GCF 32 24 40
^ ^ ^
2 16 2 12 2 20
^ ^ ^
2 8 2 6 2 10
^ ^ ^
2 4 2 3 2 5
^
2 2
(2) (2 & 3) (2 & 5)