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sergiy2304 [10]
1 year ago
10

Reid can execute one security audit in 10 days. He works 4 times as fast as Greg. I f Reid and Greg were assigned to work Togeth

er on the same security task they would have finished it in
SAT
1 answer:
Bogdan [553]1 year ago
6 0

Using the together rate, it is found that they would have finished the task in 8 days working together.

<h3>What is the together rate?</h3>

It is the sum of each separate rate.

In this problem, the rates are given as follows:

  • For Reid, it is of 1/10.
  • Greg works four times as slower as Reid, that is, one security audit takes 40 days, hence his rate is of 1/40.

Then, the together rate is given by:

\frac{1}{x} = \frac{1}{10} + \frac{1}{40}

\frac{1}{x} = \frac{4 + 1}{40}

5x = 40

x = 8

They would have finished the task in 8 days working together.

More can be learned about the together rate at brainly.com/question/25159431

#SPJ1

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Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence. the angle
Mekhanik [1.2K]

The height of the​ tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.

<h3>What is right angle triangle property?</h3>

In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.

\tan\theta=\dfrac{b}{a}

Here, (b) is the opposite side, (a) is the base side.

Pat needs to determine the height of a tree before cutting it down to be sure that it will not fall on a nearby fence.

The angle of elevation of the tree from one position on a flat path from the tree is

H=40^o

From a second position,

I=60\rm\; ft

Farther along this path it is,

b=30^o

Let the distance between tree and first position is x. Thus, from the trigonometry,

\tan 40=\dfrac{h}{x}\\h=x\tan 40             ....1

The distance between tree and second position is (x+60) ft. Thus, again from the trigonometry,

\tan 30=\dfrac{h}{x+60}\\h=(x+60)\tan 40               ......2

Compare the equation 1 and 2,

x\tan (40)=(x+60)\tan 30\\0.839x=0.577x+34.64\\0.839x-0.577x=34.64\\x=\dfrac{34.64}{0.262}\\x=132.25\rm\; ft

Put this value in equation 1 as,

h=(132.25)\times \tan40\\h\approx111\rm\;ft

Thus, the height of the​ tree, which Pat needs to determine, before cutting it down to be sure that it will not fall on a nearby fence is 111 ft.

Learn more about the right angle triangle property here;

brainly.com/question/22790996

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7 0
2 years ago
A dilation produces a smaller figure. Which is a possible scale factor? –2 one-third 1 4.
Sedbober [7]

Answer:

we know that

if a dilation produces a smaller figure

then

0< scale factor <1

so

case A) -2------> the scale factor must be a positive number

case B) 1/3----> 0< 1/3 <1---> is a possible scale factor

case C) 1------> this scale factor does not not produce a smaller figure, it produces the same figure

case D) 4----> this scale factor produces a larger figure

the answer is

1/3

Explanation:

please mark branlyist if correct

7 0
2 years ago
During implantation the part called_______ a lining of the uterus thickens to the process
kolezko [41]

Answer:

endometrium

Explanation:

The endometrium changes throughout the menstrual cycle in response to hormones. During the first part of the cycle, the hormone estrogen is made by the ovaries. Estrogen causes the lining to grow and thicken to prepare the uterus for pregnancy.

5 0
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