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8_murik_8 [283]
3 years ago
13

What are the next geometric sequences? The calculator won’t seem to give right answers

Mathematics
1 answer:
dalvyx [7]3 years ago
6 0
5. the numbers are being multiplied by 4 each time, so the geometric sequence would be

an= 1/2(4) ^(n-1)

6. the numbers are being multiplied by 1/4 each time, so the geometric sequence would be

an= 32(1/4)^(n-1)

an in the formula is what ever term in the sequence.
32 or 1/2 is the a which is the first term in the sequence.
4 or 1/4 is the r in the sequence because it is the common ratio so what the equation was multiplied by to get the next term.
(n-1) is because when you are using this equation to solve for whatever term (an) you must subtract the first number in the sequence to get an accurate number

an you can input whatever number when trying to solve.
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A person standing 28 feet from a street light casts a shadow as shown. What is the height h of the street light? Assume the tria
Mademuasel [1]

Answer:

20 ft

Step-by-step explanation:

Since we assume the triangles are similar, therefore, the ratio of their corresponding sides will be the same.

Height of the bigger triangle corresponds to height of the person

Distance of the person from street light + shadow of the person corresponds to the length of the shadow of the person

Therefore, the ratio of the corresponding sides of the triangles would be:

Height of bigger triangle : height of the person = Distance of the person from street light + shadow of the person : length of the shadow of the person

Thus:

h : 6 = 28 + 12 : 12

h : 6 = 40 : 12

h/6 = 40/12

Cross multiply

12h = 40*6

12h = 240

Divide both sides by 12

12h/12 = 240/12

h = 20

Height of the street light = 20 ft

3 0
3 years ago
Mike bungee jump from a building with eight stories each story was 15 4/5 feet in height how tall is the building
n200080 [17]
The building is 126.4 feet tall
5 0
3 years ago
Will mark branliest!<br> show work.
Sindrei [870]

Answer:

3/-2........-1.5 as decimal

Step-by-step explanation:

slope formula=y2-y1/x2-x1

6+3/-1-5

9/-6

3/-2..........or-1.5 as deciamal

3 0
2 years ago
What is the inverse of f(x)= √3x+4 -1? (The -1 is separate and not part of the square root) √3x+4
icang [17]

Answer:

y=(x^2 -2x-3)/3

Step-by-step explanation:

f(x)= √3x+4 -1

x=√3y+4 -1

(x+1)^2=(√3y+4)^2

3y+4=x^2 +2x+1

3y=x^2 +2x-3

y=(x^2 +2x-3)/3

4 0
3 years ago
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natulia [17]

Answer:

102

Step-by-step explanation:

All angles added together=180

180-13-65

180-78

102

8 0
2 years ago
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