find the value of x

a. 68
b. 44
c. 56
d. 22

Answer: Manuel is flying two kites. He has

102

feet of string out to one kite and

111

feet out to the other kite. The angle between the strings is

36°

as shown in the figure below. Find the distance between the kites

Answer:

3:2

Step-by-step explanation:

can also be written as 3/2 as a fraction!

Answer:

Blue paint to red paint - 3:2

Red paint to blue paint 2:3

Step-by-step explanation:

For every 3 cups of blue paint there is 2 cups of red paint

For every 2 cups of red paint there is 3 cups of blue paint

Fraction Mode: 3/2 or 2/3

Answer:

A, 4, -1

It's reflected over the y-axis, so it goes to the right side.

Answer:

a (4,-1)

Step-by-step explanation:

A is the answer.

Answer:

11/12

Step-by-step explanation:

15/12-4/12= 11/12

Answer:

11/12

Step-by-step explanation:

5/4 -1/3 first make the equation easier to look at so take the 1 and add it as 4/4

15/12-4/12 then make the bottom the same with multipulcation and tops are multiples as well

11/12 subtract

Answer:

[tex]x = y = z = 20[/tex]

Step-by-step explanation:

Given

[tex]Volume = 8000cm^3[/tex]

Required

Determine the dimensions that minimizes the surface area.

Surface area of a box is;

[tex]S = 2(xy + xz + yz)[/tex]

Volume of a box is:

[tex]V = xyz[/tex]

Make z the subject

[tex]z = \frac{V}{xy}[/tex]

Substitute 8000 for V

[tex]z = \frac{8000}{xy}[/tex]

Substitute 1000/xy for z in [tex]S = 2(xy + xz + yz)[/tex]

[tex]S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})[/tex]

[tex]S = 2(xy + \frac{8000}{y}+\frac{8000}{x})[/tex]

Expand:

[tex]S = 2xy + \frac{16000}{y}+\frac{16000}{x}[/tex]

[tex]S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})[/tex]

Differentiate S w.r.t x

[tex]\frac{dS}{dx} = 2y - \frac{16000}{x^2}[/tex]

Differentiate S w.r.t y

[tex]\frac{dS}{dy} = 2x - \frac{16000}{y^2}[/tex]

Equate both differentiation to 0

[tex]2x - \frac{16000}{y^2} = 0[/tex]

Multiply through by [tex]y^2[/tex]

[tex]2xy^2 - 16000 = 0[/tex]

[tex]2xy^2 = 16000[/tex]

Divide through by 2

[tex]xy^2 = 8000[/tex] -- (1)

[tex]2y - \frac{16000}{x^2} = 0[/tex]

Multiply through by x^2

[tex]2x^2y - 16000 = 0[/tex]

[tex]2x^2y = 16000[/tex]

Divide through by 2

[tex]x^2y = 8000[/tex] --- (2)

Divide (1) by (2)

[tex]\frac{x^2y = 8000}{xy^2 = 8000}[/tex]

[tex]\frac{x}{y} = 1[/tex]

[tex]x = y[/tex]

Substitute y for x in (1)

[tex]x^2y = 8000[/tex]

[tex]x^2 * x = 8000[/tex]

[tex]x^3 = 8000[/tex]

Take cube roots

[tex]x =20[/tex]

Hence;

[tex]x = y = 20[/tex]

Recall that:

[tex]z = \frac{8000}{xy}[/tex]

[tex]z = \frac{8000}{20 * 20}[/tex]

[tex]z = 20[/tex]

Hence, the dimension of the box that minimizes the surface area of the box is:

[tex]x = y = z = 20[/tex]

Answer:

the true answer is 9

Step-by-step explanation:

Because the product of the absolute value is the same number and positive

Answer:

Step-by-step explanation:

Answer:

3 1/6

Step-by-step explanation:

look on the attachment i sent

Answer:

y = 5/2x - 17/2

Step-by-step explanation:

First, find the slope of the equation by using the slope formula:

m = (y2 - y1) / (x2 - x1)

m = (-6 - 4) / (1 - 5)

m = 10/4

m = 5/2

Next, find the y-int by plugging in one of the two points into the equation we have so far:

y = 5/2x + b

(5, 2)

4 = 5/2(5) + b

4 = 25/2 + b

4 - 25/2 = b

b = -17/2

Now you have your final equation:

y = 5/2x - 17/2

Answer:

[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Points: (5, 4), (1, -6)

Slope (Calculated): [tex]\frac{5}{2}[/tex]

[tex]y = \frac{5}{2}x+b[/tex]

[tex]-6 = \frac{5}{2}(1)+b[/tex]

[tex]b=-\frac{17}{2}[/tex]

[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]

Answer:

28098576000

Step-by-step explanation:

Answer:

Step-by-step explanation:

Radioactive dating becouse they look how long the fossils were there

Answer:

2

Step-by-step explanation:

The easiest thing is to convert it to an improper fraction.

-2 1/9 turns into -19/9. -4 1/9 turns into -37/9.

-19/9 - (-37/9) here you would add because you are subtracting a negative number.

-19/9 + 37/9 change it to positive and then add.

-19+37=18

it was 18/9. that simplified is 2.

Answer:

6. 928 R 3

7. 4/6

8. 2/8

Step-by-step explanation:

Answer:

it is an answer if you are using a coordinate plane

Step-by-step explanation:

Answer:

1. H=6

2. Y= -1

3. T= 2

4. D= 2.1

5. K= 0

6. -13 1/3

Step-by-step explanation:

Answer:

length is 13.6m

width is 2.72m

Answer:

324352

Step-by-step explanation:

Answer:

Both of the points are in the same x-axis (which is 4). However, they are different because one of them is shifted 9 units up and the other one is shifted 9 units down (their y-axis are different). Their quadrants are also different since (4,9) is at the first quadrant, while (4,-9) is at the fourth quadrant.

Answer: 800.

Step-by-step explanation: Round them both to the nearest ten. That is 40x20.

Answer:

2

Step-by-step explanation:

40/20=2

Answer:

9x-9

Step-by-step explanation:

the expression on the left simplifes to be 9x-8 so anything other than that will not produce a solution

examples:  9x+1, -9x-8, 10x+3, 12x . . .

Answer:d

Step-by-step explanation:

Answer:

D. A kidney is an organ is correct.

Step-by-step explanation:

A kidney is a part of our body that cleans our blood, ridding it of all uncleanliness, similar to a water filter.

A kidney is an organ because it's one of the essential parts of our body that we need to survive. Our body couldn't live with too much/ too little salt and other substances in our blood.

Therefore, the correct answer is D. A kidney is an organ.

Hope this helps! :D

Answer:

(48.65, 56.83)

Step-by-step explanation:

Given that :

Sample size (n) = 40

Mean (m) = 52.74

Standard deviation (s) = 13.21

α = 95%

Confidence interval around sample mean can be obtained using the relation :

Mean ± Zstatistic * s/√n

Z score for 95% confidence interval = 1.96 (Z probability calculator)

s / √n = 13.21 / √40 = 2.0886843

Lower limit of confidence interval :

52.74 - (1.96 * 2.0886843) = 48.646178772 = 48.65

Upper limit of confidence interval :

52.74 + (1.96 * 2.0886843) = 56.833821228 = 56.83

Answer:

What should Alison do for her first step ? She should learn to intersect the bisector of the intersector of mn such that mn should be the intersection of mn to nm so that no 2 intersections should intersect each other's bisector of mn to intersect of mn.

Step-by-step explanation:

Answer:

I should add that Alison is a very smart girl if she wants to construct such a perpendiculiar bisector of MN--. I am realy gratefull for such a kind and wise little smart girl.

Step-by-step explanation:

Answer: 24%

Step-by-step explanation:

45 is the total number of occurrences, and 6 different occurrences round it off to 8 being the closest to 25% thus that's how I figured out 24

Answer:

b

Step-by-step explanation:

Answer:

b he is your answer dear friend

Answer: -18

Step-by-step explanation:

if 6-2d=42

just subtract 6 from both sides

-2d=42-6

-2d=36  now divide by 2

-d=18

multiply by -1

d=-18

Answer: d=-18

Step-by-step explanation:

6-2d=42

First subtract 6 from both sides

-2d=36

Now divide both sides by -2 to get d alone

d=-18

length (l) =54

breath (b) =72

l²+b²= diagonal²..........(Pythagoras theorem) and (all sides of rectangle are 90degree)

(54)²+(72)²=diagonal²

2916+5184=diagonal²

8100=diagonal²

90= diagonal.............(taking square root)

length of diagonal is 90ft

i hope it helps

have a nice day and thanks for asking this question