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Katarina [22]
3 years ago
10

What is the general term equation, an, for the arithmetic sequence 5, 1, −3, −7, . . . , and what is the 21st term of this seque

nce?
Mathematics
1 answer:
Sonja [21]3 years ago
6 0
The general term is obtained by starting with the initial value 5 and then subtracting 4 each time you wish to generate a new term:

a2 = second term = 5+(2-1)(-4)       =    5+(-4) = 1

General term:

an = nth term = 5+(n-1)(-4)

Thus, the 21st term is 5+(21-1)(-4) = 5 + (20)(-4) = -75 (answer)
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Are these triangles similar, if so how do I prove it(SSS,AA or SAS)?
spin [16.1K]

Answer:

There isn't a way to prove that the triangles are similar.

Explanation:

Two triangles are similar if they have the same interior angles and the corresponding sides are proportional.

So, to prove that the triangles are similar we can use:

SSS: The three corresponding sides are proportional

SAS: Two sides are proportional and the angle between them is equal

AA: Two angles have the same measure.

In this case, the yellow angles are equal because they are vertically opposite. They are formed by two lines that intersect.

On the other hand, the side with length 3.6 is corresponding with the side with length 9 but the side with length 4.8 is not corresponding with the side with length 12.

Then, there isn't a way to prove that the triangles are similar.

3 0
1 year ago
Jasmine works at the public library after school. She makes $7.00 per hour. She cannot work more than 15 hours per
sveta [45]

Answer:

the answer is mx +B plus the quradratic formula

3 0
3 years ago
Find the area enclosed by the figure. Use 3.14 for π. (The figure is not to scale).<br><br>​
gtnhenbr [62]

Answer:

97.27 yd²

Step-by-step explanation:

First let's find the area of the right triangle on the left side. To do that, multiply 6x5, then divide the product by 2, since a right triangle is half a rectangle.

6x5=30

30/2=15

Area of triangle=15 yd²

Find area of the middle rectangle. So multiply the length by the width.

9x6=54

Area of rectangle=54 yd²

Find area of the half circle. Formula for area of circle is A=\pi r^{2}. Pi is about 3.14, and radius (r) is 3. Radius is half of the diameter of circle, and the 6 on the left says the diameter of circle.

\pix3^{2}≈28.27

Area of circle is about 28.27 yd²

Add up the three areas.

15+54+28.27=97.27

3 0
3 years ago
Read 2 more answers
I need help with this and also round the Answer
Leya [2.2K]
I think it’s 135
12x15=180
180 divided by 4/3 or 1 1/3 = 135
3 0
3 years ago
Pls help Asap I will give 100 points
QveST [7]

Answer:

I am sorry for the answer I don no but I tried it

6 0
3 years ago
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