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Gennadij [26K]
3 years ago
5

What degrees is angle 3

Mathematics
1 answer:
Lady_Fox [76]3 years ago
5 0

Answer:

60 degrees

Step-by-step explanation:

it is about 60 degrees.

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Determine the common ratio and find the next three terms of the geometric sequence 9,3sqrt3,3
Maru [420]

Answer:

Fourth term: a_4 = 9 * (\frac{\sqrt{3}}{3})^{(4 - 1)} = 9 * (\frac{\sqrt{3}}{3})^{3} = \sqrt{3}

Fifth term: a_5 = 9 * (\frac{\sqrt{3}}{3})^{(5 - 1)} = 9 * (\frac{\sqrt{3}}{3})^{4} = 1

Sixth term: a_6 = 9 * (\frac{\sqrt{3}}{3})^{(6 - 1)} = 9 * (\frac{\sqrt{3}}{3})^{5} =\frac{\sqrt{3}}{3}

Step-by-step explanation:

The geometric progression is:

9, 3 \sqrt{3}, 3...

The first term, a, is 9

To find the common ratio, r, all we have to do is divide a term by its preceding term.

Let us divide the second term by the first:

r = \frac{3\sqrt{3}}{9}\\ \\r = \frac{\sqrt{3}}{3}

That is the common ratio.

Geometric progression is given generally as:

a_n = ar^{(n - 1)}

where a = first term

r = common ratio

a_n = nth term

We need to find the 4th, 5th and 6th terms.

Fourth term: a_4 = 9 * (\frac{\sqrt{3}}{3})^{(4 - 1)} = 9 * (\frac{\sqrt{3}}{3})^{3} = \sqrt{3}

Fifth term: a_5 = 9 * (\frac{\sqrt{3}}{3})^{(5 - 1)} = 9 * (\frac{\sqrt{3}}{3})^{4} = 1

Sixth term: a_6 = 9 * (\frac{\sqrt{3}}{3})^{(6 - 1)} = 9 * (\frac{\sqrt{3}}{3})^{5} =\frac{\sqrt{3}}{3}

5 0
3 years ago
Find the slope of the line that passes through the two points (-10,5) and (-2,8)
olga_2 [115]
Your answer is 3/8 .. your welcome ❤️
8 0
3 years ago
Can someone help me with exercise #5 pls
jolli1 [7]

Answer/Step-by-step explanation:

Exercise 5:

a. 180 pages was read in 5 days

Unit rate = pages per day = 180 pages ÷ 5 = 36 pages per day.

b. Number of pages of the book = 765 pages

Unit rate = 36 pages per day

Number of days to read the book = 765/36 = 21.25

It will take Kirk about 22 days to finish reading the book.

5 0
3 years ago
Ten vendors are selling at an event, and an attendance of 42,000 is projected. It is anticipated that 65 percent of the attendee
In-s [12.5K]
For this case, the first thing we must do is calculate the number of attendees who will make purchases.
 We have then:
 (42000) * (0.65) = 27300
 We are now looking for the number of attendees that each vendor will attend.
 We have then:
 N = (27300) / (10)
 N = 2730
 Answer:
 
the average number of customers each will serve is:
 
N = 2730
5 0
3 years ago
10 POINTS!! HELP ASAP!! What is the length of AC?
My name is Ann [436]

Answer:

D

Step-by-step explanation:

Δ CED and Δ CAB are similar thus the ratios of corresponding sides are equal, that is

\frac{CE}{CA} = \frac{ED}{AB} , substitute values

\frac{x}{156-x} = \frac{7}{84} = \frac{1}{12} ( cross- multiply )

12x = 156 - x ( add x to both sides )

13x = 156 ( divide both sides by 13 )

x = 12

Thus

AC = 156 - x = 156 - 12 = 144 → D

4 0
4 years ago
Read 2 more answers
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