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nikklg [1K]
2 years ago
7

A guy wire (a tensioned cable designed to add stability to a free-standing structure) is attached to a telephone pole whose heig

ht is 25 ft. If the wire is attached to the ground at a point 15 ft away from the base of the pole, what is the slope of the wire?

Mathematics
1 answer:
Gre4nikov [31]2 years ago
4 0

Answer:

⁵/₃

Step-by-step explanation:

If you are at the foot of the guy wire, the wire is going <em>up</em>.

Slope = Δy/Δx = 25/15 = ⁵/₃

If you are at the top of the pole, the wire is going <em>down</em>.

Slope = Δy/Δx = -25/15 = -⁵/₃

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Carl is on the school track team. To prepare for an upcoming race, he plans to run 217 miles total over the next 31 days. Write
makvit [3.9K]

Answer:

He needs to run 7 miles per day. 217/31 = 7m

Step-by-step explanation:

3 0
3 years ago
, list the first five terms of each sequence, and identify them as arithmetic or geometric.
sveta [45]

Answer: -2, 2, 6, 10, 14

It is an Arithmetic sequence.

Step-by-step explanation:

Given Recursive formula : A(n + 1) = A(n) + 4 ,  for n ≥ 1 and A(1) = -2.

A(2)=A(1 + 1) = A(1) + 4=-2+4=2

A(3)=A(2 + 1) = A(2) + 4=2+4=6

A(4)=A(3 + 1) = A(3) + 4=6+4=10

A(5)=A(4 + 1) = A(4) + 4=10+4=14

Hence, the  five terms of given sequence= -2, 2, 6, 10, 14

Since, there is common difference of 4 in two consecutive terms.

Therefore, it is an Arithmetic sequence.

5 0
3 years ago
It costs you $10 to draw a sample size n=1 and measure the attribute of interest. you have a budget of $1,200
kicyunya [14]

<span>a.       </span>Do you have sufficient funds to estimate the population mean for the attribute of interest with a 95% confidence interval 4 units width? Assume that sd= 12

n= {[(Zalpha/2)^2]*[sd]^2}/ se^2

n= (1.96)^2*(12)^2/ (2)^2

n= 138.297 rounded up to 139

<span>There is not enough funds for this one since you’ll need 139 pieces and it costs 10 a piece, you’ll need 1390.</span>

b.      90% confidence interval

n= {[(Zalpha/2)^2]*[sd]^2}/ se^2

n= (1.645)^2*(12)^2/ (2)^2

n=98

There is enough funds since 98 pieces for 10 a piece is equal to 980.

6 0
3 years ago
The price of 6 cans of soda is $5.10. What is the constant of proportionality that relates the cost in dollars, y, to the number
Setler [38]

Answer:

about $1.17 for each soda

Step-by-step explanation:

5 0
3 years ago
Write an equation of the line that goes through the point (6, 12) and has a slope of 2 3 .
Degger [83]

Answer:

3y = 2x + 24

Step-by-step explanation:

The correct question is as follows;

Write an equation of the line that goes through the point (6, 12) and has a slope of 2/3

Solution

Here, we have a point and a slope, and we want to write the equation of the line

The method we shall use here is the point slope method

Mathematically, that will be;

y-y1 = m(x-x1)

(x1,y1) = (6,12)

m = 2/3

y-12 = 2/3(x-6)

3(y-12) = 2(x-6)

3y-36 = 2x - 12

3y = 2x -12 + 36

3y = 2x + 24

8 0
3 years ago
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