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Scilla [17]
3 years ago
15

If a vertical pole 30 ft tall casts a shadow 8ft long, how long would the shadow of 40-ft pole be at the same time and place

Mathematics
1 answer:
TEA [102]3 years ago
5 0
Since it as at the same time and place.

Let x be the length of the shadow of the 40-ft pole.

The ratio from 30 and 8 would have to be the same as 40 and x.

30:8  =  40:x

30/8 = 40/x    Cross multiply

30x = 40*8

x = 40*8 / 30 = 32/3 = 10.67

Length of shadow for 40ft  is 10.67 ft.
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Allushta [10]

Answer: y= -3x + 5

Step-by-step explanation:

y2-y1 divide by x2-x1 = m

therefore you would do 8 - -4= 12 divide by -1 - 3= -4 which gives you 12 divided by  -4

m= 12/-4 aka m = -3

and to find the y intercept you should use one of the point coordination to plug it into the formula y=mx+ b

use (-1,8)

8= -3(-1) + b

8= 3+b

subtract 3 from both sides

b= 5

then plug the m and the b into y=mx + b

and you get y= -3 + 5

3 0
1 year ago
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3 years ago
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7 0
3 years ago
Read 2 more answers
Which formula decribe the following geometric equence? Remember that n repreent the term number. 2, 6, 18, 54,. An = 3 · 2 n - 1
Goryan [66]

For the given geometric progression, the nth term of the given GP is A_n=2.3^{n-1}.

Option (C) is correct.

What is the Geometric Progression?

Geometric Progression (GP) is a type of sequence in mathematics in which each succeeding term is produced by multiplying each preceding term by a fixed number known as a common ratio. This progression is also known as a pattern-following geometric sequence of numbers.

The given sequence is 2, 6, 18, 54

here the first term(a) = 2 and the common ratio(r) = 6/2 =3

Then by using the formula for the nth term of a GP, we get

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Hence the nth term of the given GP is A_n=2.3^{n-1}.

To learn more about Geometric progression, visit:

brainly.com/question/12006112

#SPJ4

4 0
1 year ago
P+8&gt;-4 what do x equal
Brrunno [24]

Answer:

P=-12

Step-by-step explanation:

P+8>-4

-8>-8

________

0> -12

P=-12

have a nice day

4 0
3 years ago
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