Slimplify 2-2/3 to 4/3
1/2*2-6*4/3
slimplify 1/2*2 to 1
1-6*4/3
slimplify 6*4/3 to 24/3
1-24/3
slimplify 24/3 to 8
1-8
slimplify
-7
Answer:
Charlie is incoerre
Step-by-step explanation:
Given that :
Line of sight to top of flagpole = 16 feets
Angle of elevation = 60°
The height of the flagpole :
Applying trigonometry to the drawing in the attached picture :
We use:
Sinα = opposite / hypotenus
This enables us to use the value of the hypotenus (line of sight) to obtain the missing height value (h)
Sin(60°) = h / 16
h = 16 * sin 60
h = 16 * 0.8660254
h = 13.856406
Hence flagpole is about 13.86 feets high
Charlie's reasoning is incorrect, the line of sight constitutes the hypotenus and not Adjacent and hence, shoul
The complete sequence is<u> 24, 30, 36, 42, 48, 54, 60</u>
<h3>The nth term of an arithmetic progression</h3>
The nth term of an arithmetic progression is expressed according to the equation;
Tn = a + (n-1)d
where
a is the first term
n is the number of terms
d is the common difference
Determine the common difference
d = 42-b = b - 30
-b-b = -30-42
-2b = -72
b = 36
d = 36-30
d = 6
For the first term;
d = 30 - a
6 = 30 - a
a = 24
For the value of c
c = 42 + 6
c = 48
For the value of d
d = 48 + 6
d = 54
For the value of e
e = 54 + 6
e = 60
Hence the complete sequence is<u> 24, 30, 36, 42, 48, 54, 60</u>
Learn more on arithmetic sequence here: brainly.com/question/24989563
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Answer:
t=-148+1/1.5740740740741
Step-by-step explanation:
(t)=-0.32+2.7t+253
We move all terms to the left:
(t)-(-0.32+2.7t+253)=0
We add all the numbers together, and all the variables
t-(2.7t+252.68)=0
We get rid of parentheses
t-2.7t-252.68=0
We add all the numbers together, and all the variables
-1.7t-252.68=0
We move all terms containing t to the left, all other terms to the right
-1.7t=252.68
t=252.68/-1.7
t=-148+1/1.5740740740741
