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almond37 [142]
2 years ago
9

FIND THE AREA OF THE FIGURE BELOW

Mathematics
1 answer:
Romashka [77]2 years ago
7 0

Answer:

220 squared units

Step-by-step explanation:

first, find the area of the rectangle by multiplying 8 by 20. Then, fin the area of the triangle by multiplying 6 by 20 and then dividing the result by 2.

8*20=160

6*20=120

120/2=60

Finally, add them together and you get 220 units squared.

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Find the sum of the series 9+3+1+........+1/27​
Elina [12.6K]

Answer:

364/27

Step-by-step explanation:

9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.

 

The nth term is a1rn-1.

 

If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27

 

                                32(3-1)n-1 = 3-3

 

                                3231-n = 3-3

 

                                    33-n = 3-3

 

                                      3-n = -3

 

                                         n = 6

 

The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).

 

So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)

 

                                              = 9(1 - 1/729) / (2/3)

 

                                              = (27/2)(728/729) = 364/27

4 0
3 years ago
Can I please get some help! thank you!
Lady bird [3.3K]

Answer:

1234?:177997 +1mde explicaciones pero te digo algo es 1 explicasion

3 0
2 years ago
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
V125BC [204]

your answer would be 147°

solution:

since ∠x and ∠y are supplementary angles. they must add up to 180°

so ∠+∠y=180°

     ∠x=180°-∠y

     = 180°- 33°

=147

8 0
1 year ago
HElP Me PLEASE
Georgia [21]

Answer:

As x → -∞, f(x) → 0.5; as x → ∞, f(x) → 0.5

Step-by-step explanation:

Given function:

f(x)=\dfrac{4x-7}{8x+8}

<u>Asymptote</u>: a line that the curve gets infinitely close to, but never touches.

As the degrees of the numerator and denominator of the given function are equal, there is a horizontal asymptote at  y=\dfrac{a}{b}  (where a is the leading coefficient of the numerator, and b is the leading coefficient of the denominator).  This is the end behavior.

\textsf{Horizontal asymptote}:y=\dfrac{4}{8}=\dfrac{1}{2}

This is because as x \rightarrow \infty the -7 of the numerator and the +8 of the denominator become negligible.  Therefore, we are left with:

f(x) \rightarrow \dfrac{4x}{8x}

Therefore:

\textsf{As }\:x \rightarrow - \infty, f(x) \rightarrow 0.5

\textsf{As }\:x \rightarrow \infty, f(x) \rightarrow 0.5

7 0
2 years ago
What is the mean median and mode for 50, 55,42,38,163,55,61​
Likurg_2 [28]

Answer:

Mean: 67.7 (rounded to the nearest tenth)

Median: 52.2

Mode: 55

Step-by-step explanation:

To find the the mean is to take all the numbers, all them together and divide by how many numbers there is. 50+55+42+38+163+55+61= 564 then divided by 6 is 67.7

to find the median is to put all the numbers in order, (I prefer to go increasing order) and then find the middle number. If there is no  middle number you take the two numbers around it and subtract them from one n another.

Mode is to find the most common number. Whichever number repeats itself

Hope I helped!

3 0
3 years ago
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