What is the meaning of "\(\varphi (u,p_{1},....,p_{n})\)"?

(1) The value of x is determined as 16.8.

(2) The measure of length VX is calculated as 4.1.

(3) The measure of angle UWV is 69.5⁰.

The value of the missing lengths of the triangle is calculated by applying the following formula;

(1) For the two similar triangles, the value of x is calculated as follows;

20 / (28 - x) = 30 / x

20x = 30 (28 - x )

20x = 840 - 30x

20x + 30x = 840

50x = 840

x = 840 / 50

x = 16.8

(2) The measure of length VX is calculated by applying trig ratios.

tan 63 = 8 / VX

VX = 8 / tan 63

VX = 4.1

(3) The measure of angle UWV is calculated as follows;

angle T = 360 - (94 + 127) = 139

angle UWV = ¹/₂ x 139 (angle at circumference is half of angle at center)

angle UWV = 69.5⁰

Learn more about trig ratios here: https://brainly.com/question/10417664

#SPJ1

Answer:

y = x + 12

Step-by-step explanation:

(-9, 3), (-5, 7)

(x₁, y₁)  (x₂, y₂)

       y₂ - y₁          7 - 3             4              4

m = ------------ = ------------- = ----------- = --------- = 1

       x₂ - x₁         -5 - (-9)       -5 + 9         4

y - y₁ = m(x - x₁)

y - 3 = 1(x - (-9)

y - 3 = 1(x + 9)

y - 3 = x + 9

  +3        +3

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

y = x + 12

I hope this helps!

The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

Learn more about volume at:
#SPJ1

Answer:

0x + y = 6

Step-by-step explanation:

Equation of the Line

The equation of a line passing through points (x1,y1) and (x2,y2) can be written as follows:

\(\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)

It can be later converted to any other form of the line. For example, the standard form is:

\(Ax + By = C\)

Let's find the equation by using the given points (0,6) (5,6):

\(\displaystyle y-6=\frac{6-6}{5-0}(x-0)\)

Operating:

\(\displaystyle y-6=\frac{0}{5-0}(x-0)\)

y - 6 = 0

Or, equivalently:

0x + y = 6

This corresponds to a horizontal line

Answer:

? = 77°

Step-by-step explanation:

the 3 angles in a triangle sum to 180° , that is

? + 35° + 68° = 180°

? + 103° = 180° ( subtract 103° from both sides )

? = 77°

Answer:77

Step-by-step explanation:

180-103=77

Answer:

n = 9

Step-by-step explanation:

The formula for calculating the interior angles of a regular polygon is:

Interior angle = (n - 2) * 180 / n

where n is the number of sides in the polygon.

Given that the interior angle of the regular polygon is measured as 140 degrees, we can plug this value into the formula and solve for n:

140 = (n - 2) * 180 / n

Multiplying both sides of the equation by n to eliminate the fraction, we get:

140n = (n - 2) * 180

Expanding the right-hand side of the equation, we get:

140n = 180n - 360

Adding 360n to both sides of the equation, we get:

140n + 360 = 180n

Subtracting 140n from both sides of the equation, we get:

360 = 40n

Dividing both sides of the equation by 40, we get:

n = 9

So, the regular polygon has 9 sides.

Answer:

Step-by-step explanation:

\(2x + \frac{1}{2} x + 2(1 + x) = 29\)

Multiply through by 2

That's

\(4x + x + 4(1 + x) = 58\)

Expand

That's

5x + 4 + 4x = 58

9x = 58 - 4

9x = 54

Divide both sides by 9

That's

\( \frac{9x}{9} = \frac{54}{9} \)

We have the final answer as

Hope this helps you

Rick would need to have at least 100 cars on hand to immediately be able to deliver any car (model, option package, color).

To immediately deliver any car, Rick Rich's dealership must have all possible combinations of Mercedes models, option packages, and colors in stock.

With five models, four option packages, and five colors, there are 5 x 4 x 5 = 100 possible combinations.

Therefore, Rick would need to have at least 100 cars on hand, each representing a unique combination of model, option package, and color. It's worth noting that having exactly 100 cars on hand would only allow Rick to deliver one of each possible combination, so it may be prudent to have additional inventory on hand to meet demand for more popular combinations.

for such more question on word problem

https://brainly.com/question/1781657

#SPJ11

Answer: ∠16 and ∠11

Step-by-step explanation:

      All of these answer options include ∠16, so we know we're looking for an angle that is corresponding to ∠16. A corresponding angle is an angle that is in the same relative position. We will look at ∠9, ∠11, ∠2, and ∠12 since those are the given answer options, and see which is corresponding.

The correct corresponding angles are ∠16 and ∠11.

I'm sorry if I answere is wrong

an equation is any statement that has an equal sign or its equivalent. Word such as equals, is, are, were, was, is, is equal to, and result is can be used in place of the equal symbols example of = 4n + 7 = 11b - 2 = 3x + y + z = 187 twice a number increased by four is ten the different of a number and two is five

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

for such more question on temperature

https://brainly.com/question/14820864

#SPJ8

Answer:

The last one.

Step-by-step explanation:

The last table because y = 5x   ( a = 5):

0 = 0*5

25 = 5*5

75 = 15*5

250 = 50 *5

The hypotenuse of the smaller right triangle is calculated as approximately: C. 14 mm

If the ratio of the areas of two similar right triangles is 7:14, then the ratio of their corresponding sides will be equal to the ratio of their area s.

In this case, let x represent the hypotenuse of the smaller right triangle. Therefore, we have:

7/14 = x²/20²

Cross multiply:

14x² = 20² * 7

14x² = 2,800

x² = 2,800/14

x² = 200

x = √200

x ≈ 14 mm

The length of the hypotenuse of the smaller right triangle is calculated as 14 mm.

Learn more about areas of similar triangles on:

https://brainly.com/question/11920446

#SPJ1

The total interest for the loan is $4,550. This means that over the course of 5 years, you will pay back the original loan amount of $13,000 plus $4,550 in interest for a total of $17,550.

To calculate the total interest for this loan, we need to use the simple interest formula:
Monthly EMI formula :
Interest = Principal x Rate x Time

In this case, the principal (amount borrowed) is $13,000, the rate is 7%, and the time is 5 years.

So,

Interest = $13,000 x 0.07 x 5

Interest = $4,550

It's important to keep in mind that this calculation assumes that the interest rate remains constant over the entire 5-year period.

To learn more about : interest

https://brainly.com/question/25720319

#SPJ8

Answer:

the missing angle=85

x=95

Step-by-step explanation:

180-95=85

Answer:

Step-by-step explanation:

It should be diagonal not diameter.

The diagonal of the square is √2 time the side.

The side given 1 unit, then the diagonal is x = √2 units

9514 1404 393

Answer:

  x = √2

Step-by-step explanation:

Perhaps you've heard of the Pythagorean theorem. It tells you the relationship between the sides (a, b) of a right triangle and the hypotenuse (c) is ...

  c² = a² + b²

The diagonal of the square (diameter) is the hypotenuse of a right triangle with legs that are the sides of the square. Using the above relation, we have ...

  x² = 1² + 1²

  x² = 2

  x = √2 . . . . . . the length of the diagonal (diameter)

_____

Additional comment

The "take-away" from this is that an isosceles right triangle (one of the two "special" triangles) has side ratios of ...

  side : side : hypotenuse = 1 : 1 : √2

(You will see this again.)

Answer:

Step-by-step explanation:

1½ m = 1.5 m

¾ m = 0.75 m

area of rectangle = 1.5×0.75 = 1.125 m²

Each piece is half the rectangle. Area of one piece = 0.5625 m²

Answer:

\(2000 {(1 + \frac{.07}{12}) }^{5 \times 12} = 2835.25\)

Answer:

4. f(-4)= -1.

5. f(1)=  -2.

6. For what value of x is f(x) = -4? x=4.

Step-by-step explanation:

When asking, for example, for f(-4), it just means that you have to give the value of the graph when the x value is -4.

4. f(-4).

In this question you need to ask "What value of y shows the graphic when x is -4?"

f(-4)= -1.

Check attached image 1.

5. f(1).

In this question you need to ask "What value of y shows the graphic when x is 1?"

f(1)= -2.

Check attached image 2.

6. For what value of x is f(x) = -4?

Now we need to ask the opposite of what we asked before, "What value of x shows the graphic when y is -4?"

x= 4.

Check attached image 3.

Answer:

2 2/5 hours

Step-by-step explanation:

In 6 hours Brian can lay 1 slab of concrete

dividing both side by 6

in 6/6 hours Brian can lay 1/6 slab of concrete

Thus, in 1 hour  Brian can lay 1/6 slab of concrete

In 4 hours Greg can lay 1 slab of concrete

dividing both side by 4

in 4/4 hours Greg can lay 1/4 slab of concrete

Thus, in 1 hour  Greg can lay 1/4 slab of concrete

Thus, total part of slab laid by both in 1 hour when they work together

1/6 + 1/4 = 4+6/(6*4) = 10/24 = 5/12

5/12 of slab of concrete is laid by both of them in 1 hour

time taken to lay 5/12 of slab = 1 hour

dividing both side by 5/12

time taken to  5/12/ 5/12 of slab = 1/5/12 hour = 12/5 hours

time taken to 1/1 of slab = 12/5 hours = 2 2/5 hours

Thus,

it takes 2 2/5 hours to lay the full slab of concrete when Brian and Greg work together,

Answer:

She'll spend 192 because 2400 divided by 48 equals 50 times that by 3.84 which will give you 192.

Answer:

14 packages

Step-by-step explanation:

all you would do is 2,400 divide 48 to get 50 then do 50 divide by 3.84 to get 13.020 then you would round so you need about 14 packages.

The probability of selecting two Democrats from the political discussion group is 3/8 or approximately 0.375.

The probability of selecting two Democrats from the group can be calculated using the concept of probability. In this case, we have a total of 10 Democrats out of 16 total group members.

The probability of selecting the first Democrat is 10/16, since there are 10 Democrats out of 16 group members.

After selecting the first Democrat, there are 9 Democrats left out of 15 remaining group members. Therefore, the probability of selecting the second Democrat is 9/15.

To find the probability of both events occurring, we multiply the individual probabilities together.

So the probability of selecting two Democrats in succession is (10/16) * (9/15) = 3/8 or approximately 0.375.

In summary, the probability of selecting two Democrats from the political discussion group is 3/8 or approximately 0.375.

This means that there is a 37.5% chance of choosing two Democrats if two members are selected randomly and in succession.

for such more questions on probability

https://brainly.com/question/251701

#SPJ8

Answer:

Surface Area

Step-by-step explanation:

You are calculating the measurements for the surface of the prism. The interior is volume.

Answer:

Surface Area

Step-by-step explanation:

Answer:

p(-3) = -428

Given the polynomial function expressed as:

Determine the value of p(-3)

Hence the value of p(-3) is -428

If we divide 300 into parts using the ratio 2:3:5, we get:

2 parts = 2/10 of the total ratio = 2/10 x 300 = 60

3 parts = 3/10 of the total ratio = 3/10 x 300 = 90

5 parts = 5/10 of the total ratio = 5/10 x 300 = 150

Therefore, 300 divided in the ratio 2:3:5 would result in three parts of 60, 90, and 150.

I hope I helped!

~~~Harsha~~~

Using implicit differentiation dy/dx = -(2x + y)/(x + 2y) and d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³.

Implicit differentiation is the process of differentiating an equation in which it is not easy or possible to express y explicitly in terms of x.

Given the equation x² + xy + y² = 5,

we can differentiate both sides with respect to x using the chain rule as follows:

2x + (x(dy/dx) + y) + 2y(dy/dx) = 0

Simplifying this equation yields:

(x + 2y)dy/dx = -(2x + y)

Hence, dy/dx = -(2x + y)/(x + 2y)

Next, we need to find d^2y/dx^2 by differentiating the expression for dy/dx obtained above with respect to x, using the quotient rule.

That is:

d/dx(dy/dx) = d/dx[-(2x + y)/(x + 2y)](x + 2y)d^2y/dx² - (2x + y)(d/dx(x + 2y))

= -(2x + y)(d/dx(x + 2y)) + (x + 2y)(d/dx(2x + y))

Simplifying this equation yields:

d2y/dx² = -2(x² - 3xy - y²)/(x + 2y)³

For more such questions on implicit differentiation visit:

https://brainly.com/question/25081524

#SPJ8

Answer:

Step-by-step explanation:

Without a picture reference that would exclude certain points there are 6 possible right triangles that can be formed by adding points

(-1,2), (1,-1), (1,2), (3,5), (3,7), (5,5)