12 120° 3 3 Fig. 12.51 Calculate the area of the shaded segment in Fig. 12.51. (Leave your answer in terms of .) [JAMB]​

Answer:

r : s is √3 : 2

Step-by-step explanation:

The given parameter are;

A cube is inscribed in a sphere

The side length of the cube = s

The radius of the sphere = r

The ratio r : e = Required

It is noted that for a cube inscribed in a sphere, we have;

The diameter of the sphere = The diagonal of the cube

The diameter of the sphere, D = 2 × The radius = 2·r

The square of the diagonal of the cube, d² = s² + s² + s² = 3·s²

∴ The diagonal of the cube, d = (√3)·s

From the relationship between the cube and the sphere in which it is inscribed, (The diameter of the sphere = The diagonal of the cube), we have;

2·r = (√3)·s

∴ r/s = (√3)/2

r : s = √3 : 2.

Answer:

k = 2

Step-by-step explanation:

[tex]\frac{8}{4} =\frac{4}{k}[/tex]

8k = 16

k = 2

Answer: Most likely 6,750 steps

Answer:

A = 24 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh

A = 1/2 (6)*8

A = 24 cm^2

Answer:

your closest number should be A

Answer:

A.√99

Step-by-step explanation:

10^2 = 100

Or vise versa √100 = 10

The closest number to 100 is 99

So √99 is closest to 10

Answer:

[tex]y=2^{x}\ -3[/tex]

Step-by-step explanation:

Answer:

the correct answer is b

Step-by-step explanation:

there are 256 players so 128 matches will be there first and 128 will reach in second round and again 64 matches and half of them will be eliminated and do it till there will be final 2 then add matches played and u will get254 matches and 1 last match will be final

so ans is 255

Answer:

Infinite Solutions

Step-by-step explanation:

If you graph both lines (shown below), you will see that both lines given are overlapping each other. This means that their are an infinite amount of solutions.

Best of Luck!

Answer:

A) 6 square inches.

Step-by-step explanation:

A(Triangle) = 1/2bh

b = base length

h = height length

A(Triangle) = 1/2(4)(3) = 6

Therefore, the area of the triangle is 6 in².

Answer:

-17/20

Step-by-step explanation:

Answer:

-17/20

Step-by-step explanation:

-1/4 equals -1/4 and +-3/5 equals -3/5

-1/4 -3/5 equals -5/20 -12/20

-17/20 is your answer

Answer:

Step-by-step explanation:

-4 + 5x − 7 = 10 + 3x − 2x

=> 5x + 2x - 3x = 10 + 7 + 4

=> 4x = 21

=> x = 21/4 (Ans)

Answer:

d. x = 4/21

Step-by-step explanation:

-4 + 5x − 7 = 10 + 3x − 2x

5x-11 = x+10

4x = 21

x = 4/21

hope it helps :)

please mark brainliest!

Answer: A reflection (Across the y-axis)

Step-by-step explanation:

Transformation possiblitites:

Translation: After plotting the points you gave I came to the conclusion that a translation could not be the right transformation due to the fact that the point would move away the same units on a graph as the original point.

Rotation: The new point doesn't seem when graphed to have rotated, as it remained across from the orignial point on the graph.

Dilation: The new point if dilated wouldn't be in close proximity with the original point.

Answer:   [tex]g(x) = -\frac{4}{x+5}+4[/tex]

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Explanation:

We start with y = 1/x

Vertically stretching it by a factor of 4 gets us to y = 4/x. Simply multiply the right hand side by 4.

Then reflecting over the y axis means we replace every x with -x to get y = 4/(-x) but that simplifies to y = -4/x. So we can see that any y axis reflection is identical to an x axis reflection, and vice versa. This is due to the symmetry of hyperbolas like this.

Next, we replace x with (x+5) so that we shift the xy axis 5 units to the right, giving the illusion the curve shifts 5 units to the left.

Lastly, we tack on a +4 to shift the graph up 4 units.

The final result is [tex]g(x) = -\frac{4}{x+5}+4[/tex]

Answer:

the number you're looking for is 9.5

Step-by-step explanation:

4x-7 = 12+2x

2x-7 = 12

2x = 19

x = 9.5

Answer:

VK for up ureueusidifdisodaaiwiwu

Answer:

C. (x+7)(x+6)

Step-by-step explanation:

F: X*X = X^2

O: x * 6 = 6x

I: 7 * x = 7X

L: 7*^ = 42

Answer:

Your question is incomplete pleasegove the real question.

Step-by-step explanation:

Answer:

B.  57

Step-by-step explanation:

Theorem:

In a triangle, the measure of an exterior angle is equal to the sum of the measures of its remote interior angles.

y + y = 114

2y = 114

y = 57

Answer:

below

Step-by-step explanation:

that is the procedure above

Answer:

1. (2.2, -1.35) and (2.2, -1.4)

2. y = 8x - 7

3. infinite number of solutions

4. (2.2,-1.4) (2.2,-1.35)

5. 6

6. (1.33,1)

Step-by-step explanation:

Answer:

k = 9

Step-by-step explanation:

Given

[tex]1= x^2 - 6x[/tex]

Required

The perfect number

The coefficient c of x in the above equation is:

[tex]c = -6[/tex]

Divide by 2

[tex]c/2 = -3[/tex]

Square both sides

[tex](c/2)^2 = 9[/tex]

Hence, the constant to add is:

[tex]k = 9[/tex]

Answer:

This is a negative correlation

Step-by-step explanation:

The graph tells us that as time passes on, less strawberries/Quarts are picked.

Answer:

it must be yes!

Step-by-step explanation:

Answer:

$51.38

Step-by-step explanation:

7.43% of 47.83=(rounded to the nearest hundredth) 3.55

7.43/100*x/47.83

x=3.55

because we are solving for x

we can also cross check by taking out the percentage

x/100*3.55/47.83

47.83x=355

x=7.42212000836

which is about 7.43%

47.83+3.55= 51.38

Answer:

the answer is going to be

x>27

Answer:

[tex]\sf{[27,\infty) }[/tex] is the inequality

it x the first one that the cause it going the other way

Answer:

9 or 27

Step-by-step explanation:

2x8 -3 ^2 + 2

2x8  -9 + 2

16 - 9 + 2

= 9

or

2 x 8 - 3^2 + 2

2 x 8 + 9  + 2

16 + 9 + 2

= 27

Answer:

9 is the answer of your question

Step-by-step explanation:

Hope it is helpful to you

Answer:

Please find the graph in the attached file.

Step-by-step explanation:

[tex]\to \frac{\frac{4}{10}}{2} \ and \ \frac{1}{2} \times \frac{4}{10} =\frac{2}{10}\\\\\to \frac{0.4}{2} \ and \ 0.5 \times 0.4 =0.2\\\\\to 0.2 \ and \ 0.2 =0.2\\\\ \to \frac{2}{10} \ and \ \frac{2}{10} = \frac{2}{10}\\\\[/tex]

Answer:

See below.

Step-by-step explanation:

Here's an easy way to remember:  Domain and Range are in alphabetical order,  x and y are in alphabetical order.

The domain is the set of all x coordinates (the first number in each pair).

The range is the set of all y coordinates (the second number in each pair).

Domain:  {-17, -10, 0, 3}

Range: {18, -15, 0, -1}

Answer:

Options (1) and (4)

Step-by-step explanation:

Given equation for the deposit in the saving account is,

y = 20x + 50

Here, y = Amount of money in the account

20 = money added in the account every month

50 = Initial deposit

By comparing this equation with the slope-intercept form of the equation of a line,

y = mx + b

Here, slope m = money added in the account every month

And b = y-intercept

Therefore, Options (1) and (4) will be the answer.