can anyone please solve this 3 dimensional equation?

Coterminal Angles are angles that share the same initial side and terminal sides.

Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians.

QUESTION A

The angle is given as 600°.

To find the coterminal angle between 0° and 360°, we subtract 360° from the angle.

Therefore,

The coterminal angle is 240°.

QUESTION B

The angle is given as

To get an angle between 0 and 2π, we will add 2π to it.

Hence, we have

The coterminal angle is π/2.

Answer:

Z'(10, 14)

Explanation:

Taking into accoun that the vertex point X(2, 3) is mapped to X'(4, 8), we can say that the translation rule is:

(a, b) ----> (a + 2, b + 5)

Because

X(2, 3) ----> (2 + 2, 3 + 5)

----> X'(4, 8)

So, using this rule, we can find the coordinates for Z' as:

Z(8, 9) ----> (8 + 2, 9 + 5)

----> Z'(10, 14)

Therefore, the answer is Z'(10, 14)

Answer:

Mexico to the United States in 1947

Step-by-step explanation:

Answer:

Step-by-step explanation:

answer is 16

The probability that a student walks to school is 7/15

The tree diagram represents the given parameter

From the tree diagram, we have the following parameters

P(Rain) = 2/5

P(Rain and walk) = 1/6

P(No rain) = 3/5

P(No rain and walk) = 2/3

The probability of walking to school is then calculated as

P = P(Rain) x P(Rain and walk) + P(No rain) x P(No rain and walk)

Substitute the known values in the above equation

So, we have

P = 2/5 x1/6 + 3/5 x 2/3

Evaluate the products

P = 1/15 + 6/15

Evaluate the sum

P = 7/15

Hence, the probability is 7/15

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Based on the given linear equation of y = - 3/4x + 5, the graph is shown attached.

When given a linear equation, you graph it by coming up with x values and then using the equation to find the corresponding y values.

The linear equation is y = - 3/4x + 5.

If the value x = -1, then y would be:

y = - 3/4x + 5

= -3/4(-1) + 5

= 5.75

If the value x = 0, then y would be:

y = -3/4(0) + 5

= 5

If the value x = 1, then y would be:

= -3/4(1) + 5

= 4.25

If the value x = 2, then y would be:

= -3/4(2) + 5

= 3.5

If the value x = 3, then y would be:

= -3/4(3) + 5

= 2.75

The points would be:
(-1, -5.75) (0, 5) (1, 4.25) (2, 3.5) (3, 2.75)

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Applying power rules, the equations that is true when x = 10 but false when x = -10 is given as follows:

x³ = 10000.

The behavior of the exponents of 10 is different for even and for odd exponents, as follows:

In this problem, we have two exponents, as follows:

We want different results for the power when x = 10 and when x = -10, hence the correct option will involve the odd exponent 3.

The third power of 10 is calculated as follows:

10³ = 10 x 10 x 10 = 100 x 10 = 1000.

Hence the equation that is true for x = 10 and false for x = -10 is:

x³ = 10000.

As when x = -10, the result is:

(-10)³ = (-10) x (-10) x (-10) = 100 x (-10) = -1000.

The options are given by the image at the end of the answer.

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Using proportions, two ways of writing the fraction of these books that you read is:

4/12 and 1/3.

A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using basic arithmetic operations, especially multiplication or division.

One example of application of proportions is for relative frequencies, as a relative frequency is given by the number of successes in the sample divided by the sample size.

In the context of this problem, it is found that:

Hence the relative frequency is:

4/12.

12 is divisible by 4, hence the fraction can be simplified as follows:

1/3.

The number of books is missing, and is of 12. (researching the problem on a search engine).

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The probability that the selected three digit number is an exact match with the winning three digit number = 1/1000

The 10 digits are 0, 1, 2, 3, 4, 5, 6,7, 8, 9. From these 10 digits 3 digits are selected.

Total number of ways of selecting a three-digit number = Number of ways of selecting a digit from 10 digits for each place(one's, ten's and hundred's place)

Thus a three-digit number can be selected in 10 x 10 x 10 = 1000 ways.

So there are 1000 possibilities for a three digit number.

From this only one choice matches exactly with the winning number.

So the number of favorable outcome = 1

Hence, The probability that the selected three digit number is an exact match with the winning three digit number = 1/1000

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Using the midpoint, the coordinates of point Y in the line segment TY is (-18, -9).

Point T is located at (2, 5). Point A is located at (-3, 1.5). Point A is the midpoint of segment TB.

Therefore, the mid point formula can be represented as follows:

(xₙ, yₙ) = (x₁ + x₂ / 2, y₁ + y₂ / 2)

Hence, let's find the coordinates of point B.

(-3, 1.5) = (2 + x₂ / 2 ,  5 + y₂ / 2)

2 + x₂ / 2  = - 3

cross multiply

2 + x₂ = -6

x₂ = -6 -2

x₂ = - 8

1.5 = 5 + y₂ / 2

3 = 5 + y₂

y₂ = 3 - 5

y₂ = -2

Therefore, the coordinates of B is (-8, -2)

Hence, let's find the coordinate of point Y. The coordinates of point B is the mid point of segment TY.

(-8, -2) = (2 + x₂ / 2 ,  5 + y₂ / 2)

(-8, -2) = (2 + x₂ / 2 ,  5 + y₂ / 2)

2 + x₂ / 2 = - 8

-16 = 2 + x₂

x₂ = -18

-2  =  5 + y₂ / 2

-4 = 5 + y₂

-4 - 5 = y₂

y₂ = -9

Therefore, the coordinates of y is (-18, -9)

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The correct option is D. i.e., Linear Function, Diagonal line which slants upward from left to right.

Given,

The function is :

f(x) = mx + b

and, where m> 0

Described the graph of the function and also write the name of the function:

Now, According to the statement is :
f(x) = mx + b , m > 0

It is an increasing line.

So, The correct option is D. i.e., Linear Function, Diagonal line which slants upward from left to right.

What is a increasing line in a graph?

If a linear graph is increasing then its gradient is positive, since when x increases by 1, y changes by a positive number. If a linear graph is decreasing, the gradient is a negative number.

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Answer:

∠ RST = 22°

Step-by-step explanation:

since ∠ RSU = 91°

and ∠ TSU = 69°

so ∠ RST = 22°

HOW:

given that;

∠ RSU = 91°

and

∠ TSU = 69°

we would subtract 69° from 91°

91°-69°= 22°

Answer:

x=9

Step-by-step explanation:

both sides are 14 and the other triangle is 7 so 14/7=2 and 18/2=9

First convert the angle measure from radians to degrees using the formula

Were θ represents the angle of interest

So for this exercise the angle is pi, so:

Now using the calculator you can determine tha tangent of negative 180º

tan(-180º)=0

So the tangent of negative pi should also be zero

The decimal number 1.025 is 41/40 in fractions.

A number system is defined as a system of writing to express numbers.

A fraction is a part of a whole

The decimal number one point zero two five should be converted to fraction.

The conversion of 1.025 to fraction is 41/40.

If we calculate  41/40 we get the value 1.025.

Hence 1.025 is 41/40 in fractions.

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Answer:

q = p + r + 3s

Step-by-step explanation:

q - r - 3s = p solve for q

q - r - 3s = p

add r to both sides:

q - r - 3s + r = p + r

q - 3s = p + r

add 3s to both sides:

q - 3s + 3s = p + r + 3s

q = p + r + 3s

On the first line the distributive property was used. This property says that the product of a constant with a sum of two numbers is equal to the sum of the products.

On the third line the "associative" property was used. This property says that if you have the sum of three numbers the order at which you sum them doesn't affect the results.

You have the following equation:

y = 1/2 x

In order to determine what is the constant of proportionality, consider the general fom of proportional relatioship, given by:

y = kx

by comparing the previous equation with y=1/2x, you can notice that k=1/2. Then, the constant of proportionality is k = 1/2

A. 1/2

Answer:

Ok...I've worked out the math and the correct answer should be the first one...
x | g(x)
1 | -2
2 | 4
3 | 10

Step-by-step explanation:
Hope this helps!!

Answer:

Step-by-step explanation:

looking at all the stress you're in I knew I had to help so all your lists are bunched up, so I went of the picture C is correct because B 4 and 7 aren't even a part of the question itself and A has 16 and 49 but it doesn't have sqrt so it's not = to the question and D is not correct either because it doesn't have one sqrt it has two on top of each other. HOPE THIS HELPED!

Let's define the following variables first.

A = number of tickets sold for adults

C = number of tickets sold for children

From the question, we can say that or form the following equations:

1. A + C = 790 tickets

2. $7A + $4C = $4, 390

The first equation can also be written as A = 790 - C. We can use this equation and replace "A" in the second equation.

From that, we can solve "C" by solving the equation formed above.

Therefore, 380 tickets for children were sold.

Since there are 790 tickets in total that are sold and 380 tickets for children were sold, we can say that 410 tickets for adult was sold.

Answer:

Step-by-step explanation:

70+59+55+25+30+17=276

The probability that the person selected at random doesn't use any facility is 0.25

The probability of an event can be mathematically said to be the number of required outcome divided by the number of possible outcomes.

From the question:

Total number of people who used at least any of the three facilities=26+21+14+11+19+24+6=121

The number of persons that doesn't use any of the facility=125-121=4

Hence, the number of possible outcomes=4 and the probability that the person selected at random doesn't use any facility is 1/4 or 0.25

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In a right triangle, if the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments, the length of the altitude is the geometric mean of the lengths of the two segments.

According to this

Which is the fourth option.

Answer:

1. 1600

2. 3,000

3. 6,000

4. 7,000

5. 10,000

6. 9,000

Step-by-step explanation:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

In this case, Rule A applies and 1565 rounded to the nearest hundred is:

1600

Horizontal leg = 6 units

Vertical leg is 4 units

Lets Represent the diagonal as line AB where A and B are the endpoints of the line segment

The coordinates of point A is ( 12,4)

The coordinates of point B is ( 6,0)

Slope = ( Y2 - Y1 ) / (X2 -X1) = (0 - 4) / ( 6 - 12) = -4 / -6 = 2/3

or simply.

slope = rise / run = vertical leg/ horizontal leg = 4/6 = 2/3

ANSWER

Horizontal leg = 6 units

Vertical leg is 4 units

Slope = 2/3

The next score have to be 96 to raise the class average by 1 point.

Explanation :

Let the score of the last paper be x, then

(22(73) + x)/23 = 74

22(73) + x = 74 x 23

1606+ x = 1702

x = 1702- 1606 = 96

x = 96

The next score have to be 96 to raise the class average by 1 point.

Solution in math :

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Answer:

B

Step-by-step explanation:

before finding the sum we require to find first term and common difference.

the nth term of an AP is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

given a₁₀ = - 5 and a₁₅ = - 7 [tex]\frac{1}{2}[/tex] = - 7.5 then

a₁ + 9d = - 5 → (1)

a₁ + 14d = - 7.5 → (2)

subtract (1) from (2) term by term to eliminate a₁

0 + 5d = - 2.5

5d = - 2.5 ( divide both sides by 5 )

d = - 0.5

substitute d = - 0.5 into (1) and solve for a₁

a₁ + 9(- 0.5) = - 5

a₁ - 4.5 = - 5 ( add 4.5 to both sides )

a₁ = - 0.5

the sum to n terms of an AP is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

here a₁ = - 0.5 and d = - 0.5 , then

S₂₀ = [tex]\frac{20}{2}[/tex] [ (2 × - 0.5) + (19 × - 0.5) ]

      = 10 (- 1 -9.5)

     = 10 × - 10.5

    = - 105

The line given passes through two points. These are (-6,0) and (0,-8).

Remember that two lines are perpendicular if the product of their slopes is -1. So, the first thing we're going to do is to find the slope of the line given.

The slope between two points (x1,y1) and (x2,y2) can be found using the formula:

If we replace our values:

To find other perpendicular line to this one, we have to find a number which multiplication with -4/3 is -1.

This number is clearly 3/4. Because

Therefore, the slope of the perpendicular line must be 3/4, and the original slope is -4/3.

If we graph this: