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2 years ago

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A camper attaches a rope from the top of her tent, 4 feet above the ground, to give it more support. If the rope is 8 feet long,

about how far will the stake need to be from the middle of her tent?

1 answer:

irina [24]2 years ago

6 0

Using the Pythagorean theorem 4 would be the height and 8 would be the hypotenuse, you need to find the base

4^2 + X^2 = 8^2

16 x x^2 = 64

x^2 = 64-16
x^2 = 48

x = sqrt(48) = 6.92 feet ( round answer as needed )

You might be interested in

The following function represents the production cost f(x), in dollars, for x number of units produced by company 1:

tamaranim1 [39]

Company 1: f(x) = 0.25x² - 8x + 600
f(6) = 0.25(6²) - 8(6) + 600 = 9 - 48 + 600 = 561
f(8) = 0.25(8²) - 8(8) + 600 = 16 - 64 + 600 = 552
f(10) = 0.25(10²) - 8(10) + 600 =  25 - 80 + 600 = 545
f(12) = 0.25(12²) - 8(12) + 600 = 36 - 96 + 600 = 540
f(14) = 0.25(14²) - 8(14) + 600 = 49 - 112 + 600 = 537

company 2:
  x   g(x)
6 862.2
  8 856.8
10 855
12 856.8
14 862.2

Based on the given information, the minimum production cost of company 2 is greater than the minimum production cost of company 1.

7 0

2 years ago

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Consider the equation an^2 = 182 where a is any number between 2 and 5 and n is a positive interger. What are the possible value

vodka [1.7K]

Step-by-step explanation:

an² = 182

When a = 2, n² = 182/2 = 91, n = 9.539...

When a = 5, n² = 182/5 = 36.4, n = 6.033...

Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.

Therefore our possible values of n are 7, 8 and 9.

6 0

2 years ago

6 questions = 30 points someone please help me

eduard

Answer:

1)D

2)D

3)A

4)B

5)Cannot Answer - No data

6)C

7)C

6 Questions answered for 30 points.

Step-by-step explanation:

Answer for the 1st Question,

Area of a cylinder can be calculated by,

Area of the cylindrical part = $2\pi rL$

Area of the parts that cover the open parts of cylinder = $2\pi r^2$

Therefor Total are of the cylinder = $2\pi rL+2\pi r^2$

Area of the total cylinder = $2*3.14*6.8*14.2+2*3.14*6.8^2$

= $896.784$

<u>Therefor best estimate will be D) 923 in^2</u>

Answer for the 2nd Question,

ABC is a triangle.

By Pythagorean theorem it says,

$(AC)^2+(CB)^2=(AB)^2$

The distance from A to C = 6

The distance from C to B = 5

$(AC)^2=6^2=36$

$(CB)^2=5^2=25$

$(AC)^2+(CB)^2=(AB)^2=36+25=61$

Therefor $(AB)^2=61\\(AB)=\sqrt{61}$

<u>Therefor Answer is D) Sqr 61</u>

Answer to Question 3

To find the trend you can draw an imaginary line that fits the scatter plots.(I have attached a image drawing the imaginary lines)

Then the revenue can be calculated by calculating the area covered by the imaginary line drawn or area "under" the curve.

Area of the Store 1 = $\frac{1}{2} *(110+40)*110=8250$

Area of the Store 2= $\frac{1}{2} *110*80=4400$

Therefore Revenue from Store 1 = $8250

Revenue from Store 2 = $4400

<u>Answer is A) Store 1 has more sales revenue</u>

Answer for Question 4

$\frac{5}{12}=0.4167\\\frac{5}{11}=0.4545$

You can straight away discard answer D because it is less than both 5/12 and 5/11.

Also you can discard Answer C because 25/264 is very small (less than 1/10=0.1)

$\frac{11}{23} =0.4782$ , therefor this is not in between those two numbers.

Then it has to be $\frac{115}{264} =0.4356$

<u>Answer is B)</u>

Answer for question 6

The equation of a straight line is of the form $y=mx+c$

here m is the gradient and c is the intercept.

Find the intercept(c) by finding the y value when x value is 0, here it is +1.

Gradient (m) of the graph can be found by,

$\frac{y1-y2}{x1-x2} =\frac{7-3}{3-1} =2$

Therefor the equation of the graph is,

$y=2x+1$

<u>Answer is C</u>

Answer for question 7

$\frac{7}{8} =0.875$

$\frac{6}{9} =0.67$

We can discard answer A because the value is close to 0.5

We can discard answer B because 3/17 is a very small value (0.17)

$\frac{53}{72} =0.73$ , This falls between the above 2 numbers.

<u>Therefor answer is C</u>

5 0

2 years ago

A theater company is considering raising the price of its tickets. It currently charges $8.50 for each ticket and sells an avera

Licemer1 [7]

Answer:

The answer is c.

Step-by-step explanation:

6 0

2 years ago

What are three collinear points on line l?

Jet001 [13]

Points A, F, and G are three collinear points on line l.

$\boxed{ \ The \ Answer \ is \ B \ }$

<h3>Further explanation </h3>

Let us consider the definition of collinear.

Collinear

Collinear points represent points that lie on a straight line. Any two points are always collinear because we can constantly connect them with a straight line. A collinear relationship can occur from three points or more, but they don’t have to be.

Noncollinear

Noncollinear points represent the points that do not lie in a similar straight line.

Given that lines k, l, and m with points A, B, C, D, F, and G. The logical conclusions that can be taken correctly based on the attached picture are as follows:

At line k, points A and B are collinear.
At line l, points A, F, and G are collinear.
At line m, points B and F are collinear.
Point A is placed at line k and line l.
Point B is placed at line k and line m.
Point F is located at line l and line m.
Points C and D are not located on any line.

Hence, the specific answer to this key question is undoubted, i.e., points A, F, and G.

<u>Note:</u>

All points can, also, be said to be coplanar. This is because the three lines intersect with each other and lie on a planar surface.

Coplanar

Coplanar points represent a group of points that lie on the same plane, i.e. a planar surface that extends without end in all directions. Any two or three points are always coplanar, but four or more points might or might not be coplanar.

<h3>Learn more </h3>

Determine which points are coplanar and noncollinear brainly.com/question/4165000
Finding a set of points is not coplanar in a pyramid brainly.com/question/2269323
Determining the best description of connection lines AB and CD on given rectangular prism ABCD brainly.com/question/4910705

Keywords: what are, three collinear points A, F, and G, noncollinear, located, similar straight line, definition, represents, relationship, coplanar

9 0

2 years ago

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