I dont know how to do this​

Answer:

a=30°; b=40°;c=40°; d=40°; e=110°: f=110°; g=30°; h=140°; i=70°; j=70°

The equation in spherical coordinates is:

\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)

What is Equation in Spherical Coordinates?

A mathematical equation that is represented in terms of the spherical coordinates of a point is known as an equation in spherical coordinates. A three-dimensional coordinate system known as spherical coordinates makes use of two angles, typically represented by symbols and a radial distance (r), and a coordinate system to find points in space.

\($r^2 = 81$\)

To represent the equation in spherical coordinates, we substitute the Cartesian coordinates \($x = r\sin(\phi)\cos(\theta)$, $y = r\sin(\phi)\sin(\theta)$, and $z = r\cos(\phi)$\) into the equation. After substitution and simplification, we have:

\($r^2\sin^2(\phi)\cos^2(\theta) + r^2\sin^2(\phi)\sin^2(\theta) + r^2\cos^2(\phi) = 81$\)

Since \(r^2 = 81,\) we can substitute it into the equation:

\($81\sin^2(\phi)\cos^2(\theta) + 81\sin^2(\phi)\sin^2(\theta) + 81\cos^2(\phi) = 81$\)

Finally, we divide the equation by 81 to simplify:

\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)

So, the equation in spherical coordinates is:

\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)

To learn more about Equations in Spherical Coordinates:

https://brainly.in/question/33409812

#SPJ4

A y-intercept of the continuous function in the table is;  (0, –6)

The y-intercept of a function is defined as the point where the graph intersects the y-axis. This means the point where the x-value is zero.

Now, from the function table given, we can see the coordinates of the function are given as;

(-4, 10)

(-3, 0)

(-2, 0)

(-1, -4)

(0, -6)

(1, 0)

Now, from the coordinates above , we can see that the only coordinate that has the x-value as zero is the one (0, -6) and as such by definition, it is the y-intercept.

Read more about y-intercept at; https://brainly.com/question/26249361

#SPJ1

Answer:

LOM= 66 and MON= 24

Step-by-step explanation:

I think

Answer:

<LOM=66,<MON=24

Step-by-step explanation:

(2x+46)+(3x-6)=90

2x+3x+46-6=90

5x+40=90

5x=90

x=10

2x+46=2*10+46=66

The main task for members during the final session is to put into words what has transpired from the first to the final session.

The group's goals should be discussed during the first few meetings, then each member's personal goals should be covered. Even small toddlers can follow and take part in these dialogues. They must be aware that the emphasis will be on defining and exploring particular issues and themes.

Over the years, I've discovered that assisting customers in comprehending what will occur during their initial meeting (often referred to as the "intake session") can be extremely beneficial in putting them at ease and beginning our partnership on a cordial and inviting note.

To know more about  first therapy session  visit:

https://brainly.com/question/28190386

#SPJ4

Step-by-step explanation:

a) Perimeter is equal to 2w + 2L

2(3x + 4) + 2(x + 3)

6x + 8 + 2x + 6

8x + 14

b) Put 5 in x's place

8×5 + 14

40 + 14

54

c) Area = (3x + 4) * (x + 3)

Put 4 in x's place

(3×4 + 4) * (4 + 3)

12 + 4 * 7

16 * 7

112

Answer:

5

Step-by-step explanation:

write and equation and solve. "Is" means equals and "of" means multiply.

3 = 60% · w

convert 60% to a decimal. Move the decimal two places left or multiply by 100. 60% = 0.6

3 = 0.6w

divide both sides by 0.6

3/0.6 = 0.6w/0.6

w = 5

Answer:

5

Step-by-step explanation:

let the number be x

expressing the word paragraph as a mathematical equation:

"3 is 60% of what number"

3 = 60% of x

3 = (60/100) x            multiply both sides by 100

(3)(100) = 60x             divide both sides by 60 and rearrange

x = (3)(100) / (60)

x = 5

hope this helps

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

Answer and Step-by-step explanation:

As we can see by the given figure, we can cut out 2 rectangular prisms from this shape.

This gives us an easier time to find the volume. We will be using the volume formula for rectangular prisms: Length × Width × Height

The first prism has side lengths of:

Height = 6

Length = 11

Width = 7 (from the two 2's and the one 3 added together -- 2 + 2 + 3 = 7)

Let's multiply these values together.

6 × 11 × 7 =

66 × 7 =

462 -- First volume

The second prism has side lengths:

Height: 6

Length: 9

Width: 3

Let's multiply these values together.

3 × 6 × 9 =

3 × 56 =

168 -- Second volume

Now, we add together the volumes to get the volume of the composite figure.

168 + 462 = 630

The volume of the composite figure is 630 cubic feet.

#teamtrees #PAW (Plant And Water)

Answer:

d is the answer to the question

Answer:

\(\frac{1}{10}\)

Step-by-step explanation:

note that in terms of the given fraction

1 = \(\frac{10}{10}\) , then

\(\frac{9}{10}\) + \(\frac{1}{10}\) = \(\frac{10}{10}\) = 1

Answer:

\( \frac{9}{10} + x = 1 \\ x = 1 - \frac{9}{10} \\ x = \frac{(10 - 9)}{10} \\ \boxed{x = \frac{1}{10} } \: is \: the \: required \: number\)

Answer: 408 sq ft

Step-by-step explanation: You would need to use the surface area formula SA = 1/2LP + B. Note that L is the slant height, P is the perimeter of the base, and B is the area of the base. 11 is the slant height as shown in the image above, p is 48 since you add 12 + 12 + 12 + 12, and the area of the square will be 144 since 12*12 = 144. Once you substitute the numbers in their correct place, you should get SA = 1/2 (11)(48)+144 which gives you 408 sq ft. Hope this helps!

Answer:408    did this right on k12

Step-by-step explanation:

The geometric series is convergent and the value is 16.

Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:

S = t_1/(1 - r)

Note that:

3 = (4)(3/4)

9/4 = (3)(3/4)

27/16 = (9/4)(3/4)

So this a geometric series with t_1 = 4 and r = 3/4. Therefore:

4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16

The correct option is 16.

Learn more about geometric series on:

https://brainly.com/question/24643676

#SPJ4

Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum

4+3+ 9/4 +27/16 +???

choices are

1. 3/4

2. 12

3. 4

4. divergent

5. 16

Answer:

y=-x2+17

Step-by-step explanation:

set the equation equal to zero and factor the left side

:)

The three possibilities that Damon can use as the common factor for equivalent expression are y(5xz + 3z + 2x), z(5xy + 3y + 2x) and  xy(5z + 3 + 2z).

To discover a common figure for 60xyz+36yz+24xy, we have to be discover the Greatest Common Factor (GCF) of the coefficients 60, 36, and 24, and the factors x, y, and z.

The GCF of the coefficients 60, 36, and 24 is 12. Able to calculate out 12 from each term:

60xyz+36yz+24xy = 12(5xyz + 3yz + 2xy)

Presently, we ought to discover a common calculate for the remaining components, 5xyz + 3yz + 2xy. Here are three conceivable outcomes:

Calculate out y:

5xyz + 3yz + 2xy = y(5xz + 3z + 2x)

Calculate out z:

5xyz + 3yz + 2xy = z(5xy + 3y + 2x)

Calculate out xy:

5xyz + 3yz + 2xy = xy(5z + 3 + 2z)

So, Damon may utilize any of these three conceivable outcomes as the common calculate for an proportionate expression.

Learn more about  common factor here: https://brainly.com/question/25266622

#SPJ1

Answer:

51

Step-by-step explanation:

Answer: 51

Step-by-step explanation:

Use PEMDAS. First solve inside the parentheses. You will get 43 + (4) x 2. Then, do the multiplication (4x2). You will have 43+8. And that can be simplified to 51. Hope this helps!

Answer:

F. 48.98 m

Step-by-step explanation:

What is circumference?

How does it apply here?

Solving

Step 1: Plug in your values.

Step 2: Simplify.

Therefore, the correct answer is F. 48.98 meters.

Answer:

\( \boxed{\bf A. \: x - 2}\)

Step-by-step explanation:

\( \sf ( x + 1)^2-9/ x + 4 \)

First, we need to factor the expressions that are not already factored.

Now, let's Cancel out x+4 in both numerator and denominator.

----------------------------

The space would cost at, $833.34 per month.

:: Total area = 1000 square feet

:: Cost per feet per year = $10

Therefore,

Total cost per year would be, equal to the product of total area and cost per unit area per year.

That is,

Total cost per year = 1000 x $10

That is, $10,000.

Now, we know, there are 12 months in an year.

So, cost per month is, ( total cost per year / 12 )

That is, therefore,

Cost per month = ($10,000 / 12)

Which equals to, $833.34 per month. (rounded off)

So,

The space cost at, $833.34 per month.

Read more about similar problems on division at:

https://brainly.com/question/25109150

The space cost you $833.33. per MONTH

To calculate the monthly cost, we first need to determine the annual cost of the space.

Given that the cost is $10 per square foot per year, we know, there are 12 months in an year and the space is 1,000 square feet, the annual cost of the space would be:

Annual cost = the space  * cost

Annual cost = 1,000 square feet * $10/square foot = $10,000

To convert this to monthly cost, we divide the annual cost by 12 (the number of months in a year):

Monthly cost = $10,000 / 12 = $833.33

Therefore, the monthly cost of the 1,000 square feet of space in the new building would be $833.33.

Learn more about cost at https://brainly.com/question/23412892

#SPJ11

In an experimental study, random error due to individual differences can be reduced if a(n) control group is implemented.

One effective way to reduce random error due to individual differences in an experimental study is to include a control group. A control group serves as a baseline comparison group that does not receive the experimental treatment. By having a control group, researchers can isolate and measure the effects of the independent variable more accurately.

The control group provides a point of reference to assess the impact of individual differences on the study's outcome. Since both the experimental group and control group are subject to the same conditions, any observed differences can be attributed to the experimental treatment rather than individual variations.

This helps to minimize the influence of confounding variables and random error associated with individual differences.

By comparing the outcomes of the experimental group and control group, researchers can gain insights into the specific effects of the treatment while controlling for individual differences. This improves the internal validity of the study by reducing the potential bias introduced by individual variability.

In summary, including a control group in an experimental study helps to reduce random error due to individual differences by providing a comparison group that is not exposed to the experimental treatment. This allows researchers to isolate and measure the effects of the independent variable more accurately.

Learn more about Implemented

https://brainly.com/question/32093242

https://brainly.com/question/32181414

#SPJ11

Answer:

I think 25% of 15, sorry if I am wrong :(

Answer:

19,188

Step-by-step explanation:

hope this helps ;)

The value of the expression "true && !false" can be determined by evaluating each part separately and then combining the results.

1. The "!" symbol represents the logical NOT operator, which negates the value of the following expression. In this case, "false" is negated to "true".

2. The "&&" symbol represents the logical AND operator, which returns true only if both operands are true. Since the first operand is "true" and the second operand is "true" (as a result of the negation), the overall expression evaluates to "true".

Therefore, the value of the expression "true && !false" is "true".

to know more about expression here:

brainly.com/question/15994491

#SPJ11

Given:

The variable y varies directly as x and inversely as z. When x = 4 and z= 14, y=2.

To find:

The combined variation equation and find y when x = 6 and z= 3.

Solution:

The variable y varies directly as x and inversely as z.

\(y\propto \dfrac{x}{z}\)

\(y=k\dfrac{x}{z}\)           ...(i)

Where, k is the constant of proportionality.

Putting x=4, y=2 and z=14, we get

\(2=k\dfrac{4}{14}\)

\(2=k\dfrac{2}{7}\)

\(2\times \dfrac{7}{2}=k\dfrac{2}{7}\times \dfrac{7}{2}\)

\(7=k\)

Putting k=7 in (i), we get

\(y=7\dfrac{x}{z}\)

Putting x=6 and z=3, we get

\(y=7\times \dfrac{6}{3}\)

\(y=7\times 2\)

\(y=14\)

Therefore, the required equation is \(y=7\dfrac{x}{z}\) and the value of y is 14 when x = 6 and z= 3.

The probability that either of the compartments has at least two coins that landed heads is 161/192.

To solve this problem, we can use the principle of inclusion-exclusion.

Let A be the event that the first compartment has at least two coins that landed heads, and let B be the event that the second compartment has at least two coins that landed heads. We want to find the probability of the union of these events: P(A ∪ B).

To compute P(A ∪ B), we need to compute the probabilities of A, B, and A ∩ B.

The probability of A is the probability that at least two of the three coins landed heads in the first compartment, and the remaining coin landed tails in either compartment. There are three ways this can happen:

HHT (with probability 1/8)

HTH (with probability 3/8)

THH (with probability 3/8)

So, the probability of A is (1/8) + (3/8) + (3/8) = 7/8.

Similarly, the probability of B is also 7/8.

To compute the probability of A ∩ B, we can use the multiplication rule:

P(A ∩ B) = P(A) × P(B | A)

where P(B | A) is the probability that the second compartment has at least two coins that landed heads, given that the first compartment has at least two coins that landed heads.

To compute P(B | A), we can condition on the number of heads in the first compartment:

If the first compartment has exactly two heads, then there is only one way to distribute the remaining coin, which is to put it in the second compartment. So, the probability of B in this case is 1/2.

If the first compartment has three heads, then there are three ways to distribute the remaining coin, two of which result in the second compartment having at least two heads. So, the probability of B in this case is 2/3.

Therefore,

P(B | A) = (1/2) × P(first compartment has exactly two heads) + (2/3) × P(first compartment has three heads)

= (1/2) × (3/8) + (2/3) × (1/8)

= 7/24.

Hence,

P(A ∩ B) = (7/8) × (7/24) = 49/192.

Now, we can apply the inclusion-exclusion principle:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

= (7/8) + (7/8) - (49/192)

= 161/192.

for such more question on probability

https://brainly.com/question/13604758

#SPJ11

Both a square and a rhombus have equal-length sides. A rhombus only has its opposing angles equal, whereas a square has all of its angles at 90 degrees.

Describe the rhombus?

A parallelogram's special case is the rhombus. A rhombus has opposing sides that are parallel and opposing angles that are equal.

                        A rhombus also has equal-length sides on each side, and its diagonals split at right angles. A diamond or rhombus diamond is another name for the rhombus.

A square's diagonal lengths all have the same measurement. Several measurements are used to describe the diagonal lengths of rhombuses. While the square has four lines of symmetry, the rhombus only has two. Unlike a rhombus, which cannot be engraved in a circle, a square may be drawn inside of it.

Learn more about rhombus

brainly.com/question/27870968

#SPJ1

Answer:

THIRD OPTION

Step-by-step explanation:

The line admits a slope equal to the line

so, slope=1/4

It passes through (-4,-2), so the coordinates satisfy the equation

-2=-4/4+b

-2=-1+b

b=-2+1=-1

y=1/4x-1

Answer:

=1.5

Step-by-step explanation:

To formulate the linear programming (LP) problem, we need to define the decision variables, objective function, and constraints.

Decision Variables:

Let x be the number of units of sweet A produced.

Let y be the number of units of sweet B produced.

Objective Function:

The objective is to maximize revenue, which is given by the expression 8x + 2y.

Constraints:

Ingredient Z constraint: The total units of ingredient Z used should not exceed 36.

6x + 3y <= 36

Baking time constraint: The total baking time used should not exceed 12.

x + 2y <= 12

Non-negativity constraint: The number of units produced cannot be negative.

x >= 0

y >= 0

Now, let's solve the LP problem using the graphical solution.

Step 1: Graph the constraints on a coordinate plane.

The constraint 6x + 3y <= 36 can be rewritten as y <= -2x + 12.

The constraint x + 2y <= 12 can be rewritten as y <= -0.5x + 6.

Plot these two lines on the graph and shade the feasible region.

Step 2: Determine the corner points of the feasible region.

The feasible region is the intersection of the shaded region from the constraints. Identify the corner points where the lines intersect.

Step 3: Evaluate the objective function at each corner point.

Evaluate the objective function 8x + 2y at each corner point to determine the maximum revenue.

Step 4: Find the optimal solution.

The optimal solution will be the corner point that maximizes the objective function.

By following these steps, you will be able to determine the optimal solution and maximize the revenue.

Learn more about variable  from

https://brainly.com/question/28248724

#SPJ11