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riadik2000 [5.3K]
3 years ago
12

A triangle has two angles that measure 73 degrees and 38 degrees.

Mathematics
1 answer:
givi [52]3 years ago
7 0

Answer:

The third is sixty-nine degrees

Step-by-step explanation:

73°+38°+69°=180°

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Represent the geometric series using the explicit formula.
Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2

General formula for geometric sequence is:

a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio

Putting the values of a1 and r

a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

#LearnwithBrainly

7 0
3 years ago
What is the volume of the prism below
lesya [120]

Answer:

B. 196 units squared

Step-by-step explanation:

The formula of a prism is V = Bh

= (1/2 bh) h

=(1/2 x 7 x 14) x 4

= (3.5 x 14) x 4

=49 x 4

= 196 units squared

I haven't did these type of questions in a while, but i think my answer is correct. Hope it helps :)

5 0
3 years ago
a line that includes the point (3,4) has a slope of 2. what is the equation in the slope-intercept form?
Andreas93 [3]

Answer:

y=2x-2

Step-by-step explanation:

<em>the slope is y/x</em>

the slope is 2 or 2/1

<em>subtract 2 from the y value and 1 from the x value</em>

(3-1,4-2) = (2,2)

<em>keep doing this until you get a 0 in the x value</em>

(2-1,2-2) = (1,0)

<em>1 is your x-intercept</em>

(1-1,0-2) = (0,-2)

-2 is your y intercept.

So now you know your y-intercept and your slope so you can now write your equation.

<em>y=mx+b</em>

<em>m=slope, b=y-intercept</em>

m=2, b=-2

<em>substitute into the equation</em>

y=2x-2

8 0
3 years ago
Use the substitution method to solve the system of equation.choose the correct ordered pair. 2
Jlenok [28]
I’m not sure if the 2 is counted in the equation or not

Since x=4, substitute it for x in the other equation

4+3y=29
3y=25
Y=8.333333333

2(4)+3y=29
8+3y=29
3y=37
y=12.33333333
7 0
3 years ago
Penelope's MP3 player has 20 megabytes of memory. She has already downloaded 11 megabytesShe will continue to download m more me
8_murik_8 [283]

Answer:

9 MB

Step-by-step explanation:

20 - 11 = 9

7 0
2 years ago
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