a utility worker is 5.5 feet tall and is casting a shadow 4 feet long . at the same time a nearby utility pole casts a shadow 20 feet long. write and solve a proportion. to find the height of the utility pole

Answers

Answer 1

Answer: $x-height\ o\ the\ utility\ pole\n\n5.5\ \ \ -\ \ \ 4\nx\ \ \ \ \ \ -\ \ 20\n\n4x=110\ \ \ \ \ |:4\nx=27.5\n\nUtility\ pole\ is\ 27.5\ feet\ tall.$

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−2/3a+1/8−1/6a−3/4 PLEASE HELP

Answers

Answer:

Evaluate:

- $(5a)/(6)$ - $(5)/(8)$

Factor:

$(5(-4a-3)/(24)$

Step-by-step explanation:

11. Quadrilateral GHJK is similar toquadrilateral RSTU. If GH = JK = 10,
HJ = KG = 14, and RS = TU = 16, what is
the scale factor of quadrilateral GHJK to
quadrilateral RSTU?

Answers

Answer: the scale factor is 1.6

Step-by-step explanation:

The attached photo shows Quadrilateral GHJK and Quadrilateral RSTU. Since they are similar quadrilaterals,

KG/UR = JG/TS = GH/RS = KJ/UT

10/16 = 14/TS

10TS = 16×14 = 224

TS = UR = 224/10 = 22.4

The scale factor is

16/10 = 22.4/12 = 1.6

Write a system of equations to describe the situation below, solve using any method, and fill in the blanks. The volleyball team and the wrestling team at Newberry High School are having a joint car wash today, and they are splitting the revenues. The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. The wrestling team has raised $84 in the past, and they are making $1 per car today. After washing a certain number of cars together, each team will have raised the same amount in total. What will that total be? How many cars will that take?

Answers

Answer: After washing 20 cars together, each team will have raised the same amount in total.

Step-by-step explanation:

Let x represent the number of cars that each each teams will wash for them to raise the same amount in total.

The volleyball team gets $4 per car. In addition, they have already brought in $24 from past fundraisers. This means that the total amount raised by the volleyball team after washing x cars would be

4x + 24

The wrestling team has raised $84 in the past, and they are making $1 per car today. This means that the total amount raised by the wrestling team after washing x cars would be

x + 84

For both amounts to be equal, the number of cars would be

4x + 24 = x + 84

4x - x = 84 - 24

3x = 60

x = 60/3

x = 20

Where is the vertex of the graph of y = -x^2+4x+5 located? (2.9)
(-2, -7)
(2, 5)
(-2, 1)

Answers

Hello,

y=-x²+4x+5=-(x²-4x+4)+5+4=-(x-2)²+9

Answer A (2,9)

A quadratic equation x^2-8x+9=0 is rewritten in the form (x-p)^2=q. What are the values of p and q?

Answers

x^2-(2)(x)(4)+16-7=0
x^2-(2)(x)(4)+4^2 =7
(x-4)^2=7

So value of p is 4 and q is 7

Which of the following is the best definition of the range of a relation? A. The set of all possible input values, or x-values
B. The set of all possible output values, or y-values
C. The set of all possible input values, or y-values
D. The set of all possible output values, or x-values

Answers

the answer is either a or c

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