The 3 angles of a triangle have a sum of 90 degrees.

Mathematics

1 answer:

coldgirl [10]2 years ago

8 0

Each is 30° because you do 90/3 is 30

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Find an explicit rule for the nth term of the sequence.The second and fifth terms of a geometric sequence are 18 and 144, respec

vova2212 [387]

Given:

second term = 18

fifth term = 144

The nth term of a geometric sequence is:

$\begin{gathered} a_n\text{ = ar}^{n-1} \\ Where\text{ a is the first term} \\ r\text{ is the common ratio} \end{gathered}$

Hence, we have:

$\begin{gathered} \text{ar}^{2-1}\text{ = 18} \\ ar\text{ = 18} \\ \\ ar^{5-1}=\text{ 144} \\ ar^4\text{ =144} \end{gathered}$

Divide the expression for the fifth term by the expression for the second term:

$\begin{gathered} \frac{ar^4}{ar}\text{ = }\frac{144}{18} \\ r^3\text{ = }\frac{144}{18} \\ r\text{ = 2} \end{gathered}$

Substituting the value of r into any of the expression:

$\begin{gathered} ar\text{ = 18} \\ a\text{ }\times\text{ 2 = 18} \\ Divide\text{ both sides by 2} \\ \frac{2a}{2}\text{ =}\frac{18}{2} \\ a\text{ = 9} \end{gathered}$

Hence, the explicit rule for the sequence is:

$a_n\text{ = 9\lparen2\rparen}^{n-1}$

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10 months ago

Youth tickets(y) cost $2 for a ride, while adult tickets(x) cost $3. The amount of money earned is $54. If all the seats were fi

Paha777 [63]

There are no constants here. But we have x and y here.
We will create an equation which is:
2y+3x=54.
But we will also create a second equation which states the number of seats.
x+y=24.

Now we do the two-equation solving method.
2y+3x=54
-2(x+y=24)

2y+3x=54
-2x-2y=-48

x=6

To solve for y, plug in x into one of the original equations. Which one doesn't matter.

y+6=24
y=18

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2 years ago

Solve The Following Question:<br><br> 5/13t = -9

BabaBlast [244]

5/13t= -9
Then t =( -9*13) / 5
T=-23.4

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2 years ago

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(PLEASE HELP ME)(I WILL GIVE YOU BRAINLINEST)Suppose homes in a big city increase in value 13% every year. How much will a home

kolbaska11 [484]

Answer:

$216435