Use the triangle sound determine whether the given angles or side represents corresponding angles corresponding sides or neither

The surface area of the sphere is 1810 cm²

A sphere is a three-dimensional object that is round in shape. Examples of object with spherical shape is a ball, an egg e.t.c.

The area occupied by a three-dimensional object by its outer surface is called the surface area.

The surface area of sphere is expressed as;

A = 4πr². where r is the radius.

A = 4 × 3.14 × 12²

A = 1809.7 cm²

approximately to the nearest whole number

A = 1810 cm²

Therefore the surface area of the sphere to the nearest whole number is 1810 cm².

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Answer:

\(x = \frac{4}{3} \)

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\(y = \frac{10}{3} \)

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\(y = 8\)

Step-by-step explanation:

y= 2

\(y = x + \frac{2}{3} \\ 2 = x + \frac{2}{3} \\ x = 2 - \frac{2}{3} \\ \\ x = \frac{6 }{3} - \frac{2}{3} \\ \\ x = \frac{4}{3} \)

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\(x = \frac{8}{3} \)

\(y = x + \frac{2}{3} \\ \\ y = \frac{8}{3} + \frac{2}{3} = \frac{10}{3} \)

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\(x = \frac{22}{3} \)

\(y = x + \frac{2}{3} \\ \\ y = \frac{22}{3} + \frac{2}{3} = \frac{24}{3 } = 8\)

Answer:

i dont get the answer rephrase

Step-by-step explanation:

Answer:

\(\textsf{a)} \quad f(x)=2x^3+4x^2-26x+20\)

\(\textsf{b)} \quad f(x)=-3x^3+6x^2-27x+54\)

Step-by-step explanation:

If f(x) is a polynomial, and f(c) = 0, then (x – c) is a factor of f(x).

Given information:

According to the factor theorem the polynomial in factored form is:

\(f(x)=a(x-(-5))(x-2)(x-1)\)

\(f(x)=a(x+5)(x-2)(x-1)\)

To find the value of the leading coefficient, a, apply the condition:

\(\begin{aligned}f(3)=a(3+5)(3-2)(3-1)&=32\\a(8)(1)(2)&=32\\16a&=32\\a&=2\end{aligned}\)

Therefore, the factored polynomial is:

\(f(x)=2(x+5)(x-2)(x-1)\)

Expand the polynomial:

\(f(x)=2(x^2+3x-10)(x-1)\)

\(f(x)=2(x^3-x^2+3x^2-3x-10x+10)\)

\(f(x)=2x^3+4x^2-26x+20\)

Given information:

According to the factor theorem the polynomial in factored form is:

\(f(x)=a(x-(-3i))(x-3i)(x-2)\)

\(f(x)=a(x+3i)(x-3i)(x-2)\)

To find the value of the leading coefficient, a, apply the condition:

\(\begin{aligned}f(1)=a(1+3i)(1-3i)(1-2)&=30\\a(1-9i^2)(-1)&=30\\a(1-9(-1))(-1)&=30\\-10a&=30\\a&=-3\end{aligned}\)

Therefore, the factored polynomial is:

\(f(x)=-3(x+3i)(x-3i)(x-2)\)

Expand the polynomial:

\(f(x)=-3(x^2-9i^2)(x-2)\)

\(f(x)=-3(x^2+9)(x-2)\)

\(f(x)=-3(x^3-2x^2+9x-18)\)

\(f(x)=-3x^3+6x^2-27x+54\)

Answer: 18)  there are 27 students

i am new to this so i am sorry if i got this wrong

Step-by-step explan If there are 22 students add 22+5 and the anwser is 27

9514 1404 393

Answer:

  7/8 in  (you are correct)

Step-by-step explanation:

The amount of nail that goes into the framing member is ...

  1 3/4 -3/8 -1/2

  = 1 6/8 -3/8 -4/8

  = 1 -1/8 = 7/8 . . . . inches

Answer:

9

Step-by-step explanation:

6.99+0.55p=11.94

subtract 6.99 from both sides

.55p=4.95

divide both sides by .55

p=9

A pair of sneakers weights 9 pounds if the shipping charge is 11.94

(Hope this helps in some way..if wrong, I'm sorry)

Answer:

32 seconds

Step-by-step explanation:

first 8 secknds gives us the value of set 2.5l

2.5L to make 10 =

10÷2.5=4

That said 2.5L fills 1pL by 4 giving us;

4×2.5= 10L

Answer:

(7) 3 2 2x 23 xy y - 10 0 Solution The equation 2x2 23xyy2-100 has A2,B 23, and (1 13) as p3 (Example 2). 13: 271279. 2 m) long and 6 ft Step-by-step explanation:

I'm guessing 3 rounds means 3 times around?

diameter = 280

circumference = dπ = 280π

280π x 3 = 840π

If you want it rounded it's about 2638.94 :)

The sum of the other three numbers is 96

(a + b + c + d)/4 = 30

a + b + c + d = 30 x 4

a + b + c + d = 120

Since a = 24,

a + b + c + d = 120

24 + b + c + d = 120

b + c + d = 120 - 24

b + c + d = 96

The sum of the other three numbers is 96

Answer:

A. (3, -1)

Step-by-step explanation:

The ordered pair that is a solution is the one which makes the inequality TRUE when the value of the ordered pairs are plugged into 4x - 3y < 16

Therefore, the ordered pair, (3, -1) is the solution because it is the only given ordered pair in the options that makes the inequality true. Thus:

Substitute x = 3 and y = -1 into 4x - 3y < 16

4(3) - 3(-1) < 16

12 + 3 < 16

15 < 16 (TRUE)

Given the equation that represents this situation:

first, if we want to know when the yo-yo's velocity is greater than 2 feet per second, then:

since t is defined between 0 and 2, the times for which the yoyo's velocity is greater than 2 feet per second is:

then, we have that the interval is:

The amount of solution A and B required are 60 and 90 ounces respectively.

Creating simultaneous equations for the problem:

Mass of solution A = a

Mass of solution B = b

a + b = 150 _____(1)

0.65a + 0.90b = 150×0.80

0.65a + 0.90b = 120 __(2)

From (1)

a = 150-b ____(3)

substitute (3) into (2)

0.65(150-b) + 0.90b = 120

97.5 - 0.65b + 0.90b = 120

0.25b = 120-97.5

0.25b = 22.5

b = 22.5/0.25

b = 90

a = 150 - b

a = 150 - 90

a = 60

Therefore , 60 ounces of solution A and 90 ounces of solution B is required.

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The probability of observing 35 or fewer heads from 100 coin tosses assuming the coin is fair is approximately 0.13%. Assuming the coin is fair, the probability of observing a head on a single coin toss is 0.5, and the probability of observing a tail is also 0.5.

We can use the normal approximation to the binomial distribution to find the probability of observing 35 or fewer heads from 100 coin tosses. The mean of the binomial distribution is np = 100 x 0.5 = 50, and the standard deviation is the square root of np(1-p) = sqrt(100 x 0.5 x 0.5) = 5.

We can standardize the distribution by subtracting the mean and dividing by the standard deviation:

z = (35 - 50) / 5 = -3

Using a standard normal distribution table or calculator, the probability of observing a z-score of -3 or less is approximately 0.0013.

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The solution of the equation 3g + 5 = 7g + 4 will be 1/4.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

3g + 5 = 7g + 4

Simplify the equation, then we have

3g + 5 = 7g + 4

- 7g + 3g = 4 - 5

- 4g = - 1

g = (-1) / (-4)

g = 1 / 4

The solution of the equation 3g + 5 = 7g + 4 will be 1/4.

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The probability that the next person will purchase one or more costumes can be found by dividing the number of visitors who purchased one or more costumes by the total number of visitors.

The total number of visitors is 105 + 41 + 8 = 154.

The number of visitors who purchased one or more costumes is 41 + 8 = 49.

So the probability that the next person will purchase one or more costumes is 49/154, which is approximately 0.32 to the nearest hundredth.

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

3

Step-by-step explanation:

Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

The  AILP for management to decide  how many classes should be scheduled for each subject daily is

The objective function is mathematically represented as

       \(M  =  P_c  *  a  + P_w  *  b\)

=>    \(M  = 720  a  + 300  b\)

Now the first constraints to this functions is

     \(t_c  *  x  + t_w * y  \le t_a\)

=>  \( 7.5  x  + 3 y  \le 56\)

Another constraints to this function is

     \(k  x  +  u  y  \le  N\)

=>    \(6  x  +  2  y  \le  100\)

Here x and  y are the number of classes    

Step-by-step explanation:

From the question we are told that

   The time required for each ITC class is  \(t_c  = 7.5 \ hours\)

   The profit of each ITC class is  \(P_c  =  \$ 720\)

   The time require for  CWP  class is  \(t_w  =  3 \  hours\)

    The profit for   CWP  class is  \(P_w  =  \$ 300\)

   The total time available  is \(t_a  =  56 \  hours / day\)

   the maximum number of trainee that can be accommodated in a daily basis is   \(N  =  100\)

   The class size limit for  ITC  is  \(k  =6\)

    The class size limit for CWP is  \(u  =12\)

Generally the aim of Hi-Tech is to maximize profit

So the objective function will be a function that maximizes profit

Generally the objective function is mathematically represented as

       \(M  =  P_c  *  a  + P_w  *  b\)

=>    \(M  = 720  a  + 300  b\)

Now the constraints to this functions are

     \(t_c  *  x  + t_w * y  \le t_a\)

=>  \( 7.5  x  + 3 y  \le 56\)

Another constraints to this function is

     \(k  x  +  u  y  \le  N\)

=>    \(6  x  +  2  y  \le  100\)

Here x and  y are the number of classes

Answer:

433 in.²

Step-by-step explanation:

Divide the figure into 2 rectangles

Area of the figure = area of the bigger rectangle + area of smaller rectangle

✔️Area of bigger rectangle = L*W

L = 29 in.

W = 13 in.

Area of the bigger rectangle = 29*13

= 377 in.²

✔️Area of the smaller rectangle = L*W

L = 7 in.

W = 8 in.

Area of the bigger rectangle = 7*8

= 56 in.²

✅Area of the figure = 377 + 56 = 433 in.²

Answer:

2,7

Step-by-step explanation:

Answer:

About 0.71 of the field

Answer:

The answer is .71 of the field

Step-by-step explanation:

Hopefully this helps you

pls mark brainlest

By finding all the four slopes, we can see that the word is ECHA.

We know that the general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if the line passes through (x₁, y₁) and (x₂, y₂) then the slope is:

s = (y₂ - y₁)/(x₂ - x₁)

With that formula we can get the slopes.

1) Using the points (0, 3) and (2, 4).

m = (4 - 3)/(2 - 0) = 1/2, so the letter is E.

2)Using (-1, -12) and (1, -8)

m = (-8 + 12)/(1 + 1) = 4/2 = 2, so the letter is C.

3) We have (2, -6) and (-4, -3) so:

m = (-3 + 6)/(-4 - 2) = 3/-6 = -1/2, so the letter is H

4)we can use the points (0, 3) and (1, 1), so:

m = (1 - 3)/(1 - 0) = -2, so the letter is A

Then the word is ECHA

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Answer:

Step-by-step explanation:

The specifications of a decagonal pyramid would be the following

It has one face that is a decagon.

35 diagonals in the base.

10 isosceles triangles as faces above the base

11 vertices - 10 in the base and 1 at the top

20 edges - 10 in the base and 10 above the base

This can all be seen in the picture of the decagonal pyramid below. The only decagonal face is on the base of the pyramid as the top is a vertice where all of the triangles meet.

Answer:

~B,D,E~

Step-by-step explanation:

\(\\ \sf\longmapsto y=kx\)

\(\\ \sf\longmapsto k=\dfrac{y}{x}\)

\(\\ \sf\longmapsto k=\dfrac{20}{0.4}\)

\(\\ \sf\longmapsto k=50\)

Given expression :

let's plug the value of x as 0.4 and y as 20 in the given equation :

correct choice - D. 50

Answer:  10 feet

Step-by-step explanation:

Will ran down the street to catch the bus.

Hope this helps, thanks,

CoDBiarex

Answer:

After basketball practice Julie hit the books.

Step-by-step explanation:

Informal English often uses slang words that not everyone understands.