Answer:
-87
Step-by-step explanation:
So, first to find <em>x</em> you need to subtract 121 from 180. You do this because both the angle which measures 121 degrees and <em>x</em> lie on the same line, and since a line has an angle measure of 180, you do 180-121 to find <em>x</em>. The same thing can be done for <em>y</em>. Since the angle measure of 34 degrees and y lie on the same line you can calculate 180-34 to get <em>y. </em>So, let's do that.
180-121=x
59=x
180-34=y
146=y
Once you've done that you can easily subtract the two and get your answer.
x-y
substitute the answer for the variables and get
59-146
and then your answer is
-87
Answer:
144
Step-by-step explanation:
<u>Data:</u>
<em>Emily's age</em> : 46 years old
<u>Find Colin's age</u>
<em>Colin's age</em>: 11 years older than Emily
Emily's age + 11
46 + 11 = 57 years old
<u>Find Dan's age</u>
<em>Dan's age</em>: 5 years younger than Emily
Emily's age - 5
46 - 5 = 41 years old
<u>Find their combined ages</u>
<em>Combined ages</em>: Emily's age + Colin's age + Dan's age
<em>Combined ages </em>= 46 + 57 + 41
Total = 144
Therefore, the total of their combined ages is 144.
Answer:
correct
Step-by-step explanation:
The perimeter is the sum of the sides.
Rectangle ( opposite sides are congruent ), thus
perimeter = 2x + 2(x + 18) = 2x + 2x + 36 = 4x + 36
Square ( sides are congruent ), thus
perimeter = 4(x + 9) = 4x + 36
The perimeters are the same, so the student is correct
Use the function from part a to estimate the fox population in the year 2006.round to the nearest fox
Answer:
a) Sinusoidal functions are y = a sin [b(x-h)] + k (or)
y = a cos [b(x-h)] + k
Where a is amplitude a= (max-min)/2=(16-2)/2=7
period p= 2π/b
b=2π/30
Horizontal transformation to 10 units right h=10
k= (max+min)/2=(16+2)/2=9
h = 7 cos [π/15(t-10)]+ 9
b) t=10min=600 sec
substitue in the above equation
h=5.5m
