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Rudik [331]
2 years ago
12

Given the following geometric sequence, find the common ratio: {3, 18, 108, ...).

Mathematics
1 answer:
mafiozo [28]2 years ago
5 0
The ratio is 6.
Hope it helps
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Work out the area of the trapezium ABDE.
kvv77 [185]

Answer:

(half * base 1 * base 2)/height

base 1 is 6 and base 2 is 9

get the height from similarity

6/9 = 8/CE

therefore CE = 72/6

6 0
2 years ago
If a kid bought a fishing rod for $50 later he sold it for $32 what is the percentage decrease
fredd [130]
Your answer is 36%. See work

8 0
3 years ago
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In the circle below, DB = 22 cm, and m<DBC = 60°. Find BC. Ignore my handwriting.​
Karo-lina-s [1.5K]

Answer:

BC=11\ cm

Step-by-step explanation:

step 1

Find the measure of the arc DC

we know that

The inscribed angle measures half of the arc comprising

m\angle DBC=\frac{1}{2}[arc\ DC]

substitute the values

60\°=\frac{1}{2}[arc\ DC]

120\°=arc\ DC

arc\ DC=120\°

step 2

Find the measure of arc BC

we know that

arc\ DC+arc\ BC=180\° ----> because the diameter BD divide the circle into two equal parts

120\°+arc\ BC=180\°

arc\ BC=180\°-120\°=60\°

step 3

Find the measure of angle BDC

we know that

The inscribed angle measures half of the arc comprising

m\angle BDC=\frac{1}{2}[arc\ BC]

substitute the values

m\angle BDC=\frac{1}{2}[60\°]

m\angle BDC=30\°

therefore

The triangle DBC is a right triangle ---> 60°-30°-90°

step 4

Find the measure of BC

we know that

In the right triangle DBC

sin(\angle BDC)=BC/BD

BC=(BD)sin(\angle BDC)

substitute the values

BC=(22)sin(30\°)=11\ cm

6 0
3 years ago
Find the first term of the arithmetic sequence in which a38= -5 and the common difference is -2.9
mestny [16]

Answer:

102.3

Step-by-step explanation:

a_38 = -5

difference d= -2.9

We use general formula

a_n = a_1 + (n-1)d

WE make the formula for a_38 th term

Plug in 38 for n

a_{38} = a_1 + (38-1)d

Now plug in -2.9 for d and -5 for a_38

-5 = a_1 + (38-1)(-2.9)

-5 = a_1 - 107.3

Now add 107.3 on both sides

102.3 = a_1

option A is correct



3 0
3 years ago
Read 2 more answers
Troy’s canoe is 18 feet long. Ariel’s canoe is the length of Troy’s canoe.
tankabanditka [31]
Well the answer i think is going to be 18

3 0
3 years ago
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