Find the values of XYNZ to the nearest integer

Find The Values Of XYNZ To The Nearest Integer

Answers

Answer 1

Answer:

Part 1) The measure of x is 23°

Part 2) The value of y is [tex]y=5\ units[/tex]

Part 3) The value of z is [tex]z=12\ units[/tex]

Step-by-step explanation:

step 1

Find the value of x

we know that

[tex]x+67\°=90\°[/tex] ------> by complementary angles

[tex]x=90\°-67\°=23\°[/tex]

step 2

Find the value of y

In the right triangle of the figure

[tex]cos(67\°)=\frac{y}{13}[/tex] -----> adjacent side angle of 67 degrees divided by the hypotenuse

[tex]y=(13)cos(67\°)=5\ units[/tex]

step 3

Find the value of z

In the right triangle of the figure

[tex]sin(67\°)=\frac{z}{13}[/tex] -----> opposite side angle of 67 degrees divided by the hypotenuse

[tex]z=(13)sin(67\°)=12\ units[/tex]


Related Questions

ABC is dilated by a scale factor of 3 with the origin as the center of dilation, resulting in the image A'B'C'. If the slope of line AB is -1.2, what is the slope of line A'B'?
A. -1.2
B. 3.6
C. 1.2
D 1.8

Answers

Answer:

The slope of A'B' = -1.2 ⇒ answer A

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.  

- It can become larger or smaller, but the shape of the

 figure does not change.  

- The scale factor, measures how much larger or smaller  

  the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

- If the center of the dilation is the origin then multiply each coordinate

 by the scale factor

* In the problem

∵ Δ ABC is dilated by a scale factor of 3 with the origin as the center

  of dilation

- Let point A is (a , b) and point B is (c , d)

∵ The slope of the line which passes through points (x1 , y1) and (x2 , y2)

  is m = (y2 - y1)/(x2 - x1)

∴ The slope of AB = (d - b)/(c - a) = -1.2

∵ Point A' is (3a , 3b) and point B' is (3c , 3d)

∴ The slope of A'B' = (3d - 3b)/(3c - 3a)

- Take 3 as a common factor from up and down

∴ The slope of A'B' = 3(d - b)/3(c - a) ⇒ cancel 3 up with 3 down

∴ The slope of A'B' = (d - b)/(c - a) = the slope of AB

∵ The slope of AB = -1.2

∴ The slope of A'B' = -1.2

* The slope of A'B' = -1.2

complete the fact family 3+6=9​

Answers

6+3=9 ,9-6=3 , 9-3=6

Answer:

The rest is 6+3=9 , 9-6=3 , 9-3=6.

Consider the following quadratic equation. Determine a possible value of b so that the quadratic has two complex solutions. -14 12 -16 14

Answers

Answer:

Can you attach the quadratic equation?

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

PLATO user

X^2 +x-6=0
How to solve this ?

Answers

Answer:

x = 2, x = -3

Step-by-step explanation:

We are given the following quadratic equation and we are to solve it for x:

[tex] x ^ 2 + x - 6 = 0 [/tex]

We need to find such factors of -6 that when added give a result of 1 and when multiplied, give a product of -6.

[tex] x ^ 2 + x - 6 = 0 [/tex]

[tex] x ^ 2 - 2x + 3x - 6 = 0 [/tex]

[tex] x ( x - 2 ) + 3 ( x - 2 ) = 0 [/tex]

[tex](x-2) = 0, (x+3)=0[/tex]

x = 2, x = -3

The measure of A is 10° greater than the measure of B. The two angles are complementary. Find the measure of each angle.

The m A is ° and m B is °.

Answers

since its complementary, the sum if both angles equals 90 degrees.

you do x+x+10 so you combine like terms to get 2x+10=90

then you subtract 10 to get

2x=80

and divide by 2

x=40

angle a=50 degrees

angle b=40 degrees

Answer:

m < A = 50 degrees, m < B = 40 degrees.

Step-by-step explanation:

Complementary angles sum to 90 degrees, so:

A + B = 90

As A = B + 10:

B + 10 + B = 90

2B = 80

B = 40.

So A = 40 + 10 = 50.

Fixed rate mortgage offer:

Purchase price: $170,000
Down payment ($34K): 20%
Term: 30 years
Interest rate: 4.25%
Property tax (yearly): $1,500
Homeowner’s insurance (yearly): $1,000
Use this example from a fixed-rate mortgage calculator to help you answer the questions. Keep the page open after you complete this question.

According to the calculator, the monthly payment Demarco and Tanya should anticipate paying for principal and interest is

$208.
$877.
$669.
$1,200.

Answers

Answer: its C. $669

Step-by-step explanation:

I need help with this within the next /0 mins sum1 plz help

Answers

Answer: Second option.

Step-by-step explanation:

Given the function f(x), which is:

[tex]f(x)=x[/tex]

And given the function g(x), which is:

[tex]g(x)=2[/tex]

You need to substiute the function [tex]g(x)=2[/tex]  into the function  [tex]f(x)=x[/tex] in order to find [tex](fog)(x)[/tex].

Therefore, through this procedure, you get this answer:

[tex](fog)(x)=(2)[/tex]

[tex](fog)(x)=2[/tex]

You can observe that this matches with the second option.

For this case we have the following functions:

[tex]f (x) = x\\g (x) = 2[/tex]

We must find [tex](f_ {0} g) (x).[/tex]

By definition of composite functions we have to:

[tex](f_ {0} g) (x) = f (g (x))[/tex]

We substitute g (x) into f (x), then we have:

[tex]f (g (x)) = 2[/tex]

Answer:

[tex]f (g (x)) = 2[/tex]

Option B

Jill picks a number at random and multiplies it by 2 and adds five to the product. She then multiplies the sum by -3 and subtracts 7 from the product. After these four steps her new number is -40. What was her original number?

Answers

Answer:

3

Step-by-step explanation:

Say Jill picks the number x.

She multiplies it by 2 giving 2x.

It says add 5 to that product giving 2x+5.

She multiplies this sum by -3 giving -3(2x+5).

She then subtracts 7 from that product giving -3(2x+5)-7.

Her number after doing all of this is -40 so we hae -3(2x+5)-7=-40

To solve:

First: I would add 7 on both sides:  -3(2x+5)=-33

Second: I would divide boht sides by -3:  2x+5=11

Third: I would subtract 5 on both sides: 2x=6

Last: I would divide both sides by 2:  x=3

What is the product?
(2x – 1)(х + 4)
О2x? – 4
О 2х2 + 4
ОООО
02x2 +7x – 4
2х2 -7x - 4

Answers

2x^2+8x-x-4 = 2x^2+7x-4
0.2x2+7-4
0.4+7-4
0.4+7x-4
Calculate the difference
-36.6+7x

Evaluate
[32+ (7.6 - 22)] - [30 = (4 + 1)]

Answers

Answer:

I got 11.6

Step-by-step explanation:

Hope my answer has helped you in any way!

ABCD is a parallelogram. What are the measures of angles B and C? b=(3n+20) D= (6n-25)

Answers

Answer:

B = 65

C = 115

Step-by-step explanation:

Givens

ABCD is a parallelogram

It is lettered in such a way that B is opposite D

B = 3n+20

D = 6n-25

Solution

<B = <D                      Property of Parallelogram

3n + 20 = 6n - 25      Add 25 to both sides

3n + 20 + 25 = 6n      Combine

3n +45 = 6n                Subtract 3n from both sides

3n +45 = 6n-3n           Combine

45 = 3n                        Divide by 3

45/3=3n/3                    

n = 15                            Value of n    

B = 3n + 20                  Find B. Let n = 15

B= 3*15+20                   Combine

B = 45 + 20                 Combine

B = 65                                

==================

B and C are supplementary. They add up to 180

B + C = 180

65 + C = 180

C = 180-65

C = 115

What is the converse of the following true conditional? If the converse is true, rewrite the statements as a biconditional. If either is false, give a counterexample.
If two lines are parallel, they do not intersect.
Select one:
a. If two lines do not intersect, they are parallel. One statement is false. If two lines do not intersect, they could be skew.
b. If two lines do not intersect, they are parallel. One statement is false. If two lines are parallel, they may intersect twice.
c. If two lines do not intersect, they are parallel. Both statements are true. Two lines are parallel if (and only if) they do not intersect.
d. If two lines do not intersect, they are not parallel. Both statements are true. Two lines are not parallel if (and only if) they do not intersect.

Answers

Answer: A

Step-by-step explanation: The converse of a conditional is when the two statements switch spots, for example:

Conditional: If someone like ice cream, they have brown hair

Converse: If someone has brown hair, they like ice cream

The converse of our given conditional would be:

If two lines do not intersect, they are parallel

This eliminates Option D

Next, the converse is false.

Skew lines (example attached) do not intersect and are also not parallel, meaning if two lines do not intersect, they could be either parallel or skew.

This eliminates Option C and B, leaving us with Option A

We want to find the converse statement to one given statement and see if it is true.

We will see that the correct option is a:

If two lines do not intersect, they are parallel. One statement is false. If two lines do not intersect, they could be skew.

A general statement is written as:

If P then Q.

Where P and Q are two given propositions.

The converse statement to the above shown is:

If Q then P.

For this question, we have the statement:

If two line are parallel, they do not intersect.

Then we can write the converse statement as:

If two lines do not intersect, they are parallel.

Which is false, in 3-dimensions we can have two non-parallel lines that don't intersect each other (parallel lines must not intersect and also live on the same plane).

Then the correct option is the first one:

a: If two lines do not intersect, they are parallel. One statement is false. If two lines do not intersect, they could be skew.

If you want to learn more you can read:

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Robin and Jim took cherries from a basket . Robin took 1/4 of the cherries and Jim took 1/8 of the cherries. What fraction of the cherries did they took altogether?

Can you please help me and I will get you Brainliest.​

Answers

Answer:

3/8

Step-by-step explanation:

We must first find the LCD in order to add up the amounts taken from the basket.

The Least Common Denominator of 4 and 8 is 8.

We convert 1/4 so that it is a fraction over 8, which is 2/8

2/8+1/8=3/8

Answer:

3/8

Step-by-step explanation:

We want to find the total amount of cherries that Robin and Jim took

1/4 + 1/8

The common denominator is 8

1/4 *2/2 = 2/8

Replacing 1/4 with 2/8

2/8 + 1/8 = 3/8

The fraction that they took is 3/8

What is the y-value in the solution to this system of linear equations?

4x + 5y = −12

-2x + 3y = −16

A.)−4
B.)−2
c.)2
D.)5

Answers

Answer:

Option  A.)−4

Step-by-step explanation:

we have

4x+5y=-12 -----> equation A

-2x+3y=-16 -----> equation B

Solve the system of equations by elimination

Multiply the equation B by 2

2*(-2x+3y)=-16*2

-4x+6y=-32 -----> equation C

Adds equation A and equation C

4x+5y=-12

-4x+6y=-32

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

5y+6y=-12-32

11y=-44

y=-4

Answer with Step-by-step explanation:

We are given a system of linear equations:

4x + 5y = −12

-2x + 3y = −16

Multiply second equation by 2 and add it to first equation.

4x+5y-4x+6y= -12-32

⇒ 11y= -44

Dividing both sides by 11

⇒ y= -4

Hence, the y-value in the solution to the system of linear equations

4x + 5y = −12

-2x + 3y = −16    is:

A.)−4

The tiles on the left contain functions written using function notations. Match each function with its input

Answers

Answer:

Part 1) h(g)=-4+g ----> the input is g

Part 2) f(h)=-h-7 -----> the input is h

Part 3) g(f)=-2f -----> the input is f

Step-by-step explanation:

Part 1) we have

h(g)=-4+g

we know that

The input  is the independent variable and the output is the dependent variable

so

the output is h(g) or 4+g

the input  is the variable g

Part 2) we have

f(h)=-h-7

we know that

The input  is the independent variable and the output is the dependent variable

so

the output is f(h) or h-7

the input  is the variable h

Part 3) we have

g(f)=-2f

we know that

The input  is the independent variable and the output is the dependent variable

so

the output is g(f) or 2f

the input  is the variable f

Answer: Questions are in different places than other people screen.

h(g) = -4+g     -       The input is G

g(f) = 2f          -       The input is F

f(h) = h - 7      -       The input is H

Step-by-step explanation:

Just put tha answer in nd get a good grade :)

which of the following statements is always true about the function y=a•b^x

Answers

Answer:

c. When a > 0 and b > 1, the function models exponential growth.

Step-by-step explanation:

You have exponential decay when a > 0 and 0 < b < 1.

The statement that is always true about the function y=a•b^xc is this: C. When a > 0 and b > 1, the function models exponential growth.

What is an exponential growth?

Exponential growth is a type of growth that occurs as there is an addition of numbers. This is reflected in the upward movement of the graph if such growth is represented in a graph.

So, the statement that best reflects this meaning of exponential growth is that when in a function, a > 0 and b > 1, then exponential growth is modeled. Thus, the correct option number is C. "When a > 0 and b > 1, the function models exponential growth."

Learn more about exponential growth here:

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Which angle of rotation is an angle of rotational symmetry for all figures?

Answers

Answer:

there isn't a direct answer for that because it depends on the shape.

but it has rotational symmetry if it can be rotated by an angle between 0° and 360°

Prove the following
(cot0+cosec0)
[tex](cot0 + cosec0) { }^{2} = \frac{1 + cos0}{1 - cos0} [/tex]

Answers

[tex]\bf [cot(\theta )+csc(\theta )]^2=\cfrac{1+cos(\theta )}{1-cos(\theta )} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{doing the left-hand side}}{[cot(\theta )+csc(\theta )]^2}\implies cot^2(\theta )+2cot(\theta )csc(\theta )+csc^2(\theta ) \\\\\\ \cfrac{cos^2(\theta )}{sin^2(\theta )}+2\cdot \cfrac{cos(\theta )}{sin(\theta )}\cdot \cfrac{1}{sin(\theta )}+\cfrac{1}{sin^2(\theta )}\implies \cfrac{cos^2(\theta )}{sin^2(\theta )}+\cfrac{2cos(\theta )}{sin^2(\theta )}+\cfrac{1}{sin^2(\theta )}[/tex]

[tex]\bf \cfrac{\stackrel{\textit{perfect square trinomial}}{cos^2(\theta )+2cos(\theta )+1}}{sin^2(\theta )}\implies \boxed{\cfrac{[cos(\theta )+1]^2}{sin^2(\theta )}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{doing the right-hand-side}}{\cfrac{1+cos(\theta )}{1-cos(\theta )}}\implies \stackrel{\textit{multiplying by the denominator's conjugate}}{\cfrac{1+cos(\theta )}{1-cos(\theta )}\cdot \cfrac{1+cos(\theta )}{1+cos(\theta )}}[/tex]

[tex]\bf \cfrac{[1+cos(\theta )]^2}{\underset{\textit{difference of squares}}{[1-cos(\theta )][1+cos(\theta )]}}\implies \cfrac{[cos(\theta )+1]^2}{1^2-cos^2(\theta )} \\\\\\ \cfrac{[cos(\theta )+1]^2}{1-cos^2(\theta )}\implies \boxed{\cfrac{[cos(\theta )+1]^2}{sin^2(\theta )}}[/tex]

recall that sin²(θ) + cos²(θ) = 1, thus sin²(θ) = 1 - cos²(θ).

An orange traffic cone has a diameter of 10 in. and a height of 28 in.
What is the volume of the cone?
Use 3.14 for
π
.
Enter your answer in the box as a decimal to the nearest cubic inch.

Answers

Answer:

733 inches

Step-by-step explanation:

V= 3.14*5^2*28/3

Order of Operations (PEMDAS)

5^2=25

25*3.14= 78.5

78.5*28= 2198

2198/3=732.66

Round to nearest cubic inch

733 inches

Rewrite the following radical expression in rational exponent form.
[tex]( \sqrt{x)} ^5[/tex]

Answers

Answer:

Step-by-step explanation:

note that the square root of any number can be expressed as  the number raised to a [tex]\frac{1}{2}[/tex] power

i.e √a = [tex]a^{\frac{1}{2} }[/tex]

Applying this to our expression

[tex](\sqrt{x} )^{5}[/tex]

= [tex]x^{\frac{1}{2} * 5 }[/tex]

= [tex]x^{\frac{5}{2}}[/tex]

The Answer Is...

x^5/2

[tex]x^ \frac{5}{2}[/tex]

what is the rang for the equation y=2x-3​

Answers

Answer:

The range for the equation is all real numbers.

Step-by-step explanation:

The range of an equation is the set of y-values that you can get by plugging in all possible x-values.

Another way to put it is, when you graph the equation, whatever y-values the line produces, is its range.

Graphing y=2x-3, you can see it is a graph with a positive slope that extends from negative infinity y-value to positive infinity x-value.

In a class of 32 students, the mean height of the 14 boys is 1.56 metres. The mean height of all 32 students is 1.515 metres.

Work out the mean height of the girls.

Answers

Answer:

1.48 m

Step-by-step explanation:

mean height of 14 boys is 1.56 m, so their total height is 14 * 1.56 = 21.84 m

mean height of 32 students is 1.515 m, so their total height is 48.48

48.48 - 21.84 = 26.64 (total height of the girls)

mean height of the girls is 26.64/18 = 1.48 m

Answer:

1.48 m.

Step-by-step explanation:

There are 32 - 14 = 18 girls in the class.

Total height of the whole class = 1.515 * 32

= 48.48 m..

Total height of all the boys = 14 * 1.56 =  21.84 m.

So the total height of the 18 girls = 48.48 - 21.84

= 26.64 m.

Therefore the mean height of the girls

= 26.64 / 18

= 1.48 m.

Which graph represents the function p(x) = |x – 1|?

Answers

Answer:

The last one

Step-by-step explanation:

Your equation is p(x) = |x - 1|

The function equation can be represented by f(x) = a|x - h| + k

To find the vertex, you have to find (h,k)

In the equation p(x) = |x - 1|, 1 is h [since its (+h,k) not (-h,k)]

k is 0 since there is no +k after |x-1|.

So, your vertex will be at (1,0)

Thus, the answer is the last graph.

[I also graphed it on a graphing calculator so you can check. :) ]

The vertex will be at (1, 0).

Functions of graphs

The given equation is p(x) = |x - 1|

The function equation can be defined by f(x) = a|x - h| + k

To calculate the vertex, you have to identify (h, k)

In the given equation p(x) = |x - 1|, 1 exists h

[since its (+h, k) not (-h, k)]

k exists 0 since there does not exist +k after |x-1|.

So, the vertex will be at (1, 0).

Therefore, the graph represents the function p(x) = |x – 1| is option (d).

To learn more about the functions of graphs

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Kyra and her twin sister share shoes. In there closet they have four pairs of Sandals,five pairs of tennis shoes, and three pairs of boots. What is the probability that kyra selects a pair of sandals, put them on and then her sister selects a pair of tennis shoes?

Answers

Answer:

Step-by-step explanation:

The total number of shoes they share is

4 + 5 + 3 = 12

Kyra: 4/12 = 0.333333

Tennis Shoes: There are now 11 shoes. 5/11 = 0.46

Final answer:

The probability that Kyra selects a pair of sandals and her sister selects a pair of tennis shoes is 3/20.

Explanation:

To find the probability that Kyra selects a pair of sandals and her sister selects a pair of tennis shoes, we need to determine the total number of possible outcomes and the number of favorable outcomes.

There are 4 pairs of sandals, 5 pairs of tennis shoes, and 3 pairs of boots in the closet. Assuming Kyra selects a pair of sandals first, she has 4 options. After Kyra selects the sandals, there will be 3 pairs of sandals left.

Since the sandals are chosen without replacement, her sister will have 5 options for the pair of tennis shoes. The total number of possible outcomes is the product of the options for each step: 4 * 5 = 20.

Therefore, the probability that Kyra selects a pair of sandals and her sister selects a pair of tennis shoes is 3/20.

70 Points!! Question!​

Answers

Answer:

409.86

Step-by-step explanation:

First find the mark up

230 *65%

230 * .65 = 149.50

The new cost of the tent is the original cost plus the mark up

230 + 149.50

379.50

Now we need to find the tax

379.50 * 8%

379.50 *.08

30.36

The total cost is the cost of the tent plus the tax

379.50 + 30.36

409.86

Answer:

409.86

is the correct answe rfor this question

EMERGENCY!! 30 POINTS!!

Jasmine and Carlotta are sisters, and each have their own savings. Tog
movies. Each girl has to pay back an equal amount Carlotta also owes
change in Carlotta's savings after she repays her brother?
A. -28= 2 + (-6)
B. 28- 2 + (-6)
C. -28 2+(-6)
D. -28 = 2-(-6)

Answers

You would need to divide the money by 2 ( both sisters) to get the equal amount they each need to pay. Then include the extra amount Carlotta owes.

The correct equation would be -28 ÷ 2- (-6)

Answer:

a

Step-by-step explanation:

midpoint of the line segment (-1,5) (-8,-4)

Answers

Answer:

(- [tex]\frac{9}{2}[/tex], [tex]\frac{1}{2}[/tex] )

Step-by-step explanation:

Using the midpoint formula

Given 2 points (x₁, y₁ ) and (x₂, y₂ ), then midpoint is

([tex]\frac{x_{1}+x_{2}  }{2}[/tex], [tex]\frac{y_{1}+y_{2}  }{2}[/tex])

with (x₁, y₁ ) = (- 1, 5) and (x₂, y₂ ) = (- 8, - 4), then midpoint

= ([tex]\frac{-1-8}{2}[/tex], [tex]\frac{5-4}{2}[/tex] )

= ( - [tex]\frac{9}{2}[/tex], [tex]\frac{1}{2}[/tex] )

Answer:-4.5,0.5

Step-by-step explanation:midpoint =x1+x2/2, y1+y2/2

-1+-8/2=x,-4+5/2=y

-9/2=x,1/2=y

-4.5=x, 0.5=y

Which of the following is NOT a possible value of the correlation coefficient?
A. negative 0.9
B. zero
C. positive 0.15
D. positive 1.5
E. negative .05

Answers

Answer:

positive 1.5

Step-by-step explanation:

by definition, the possible values for correlation coefficients are

-1 ≤ correlation coefficient ≤ 1

+1.5 lies outside this range and hence is not valid.

Final answer:

The correlation coefficient measures the strength and direction of a linear relationship between two variables, ranging from -1 to +1. Therefore, a value of positive 1.5, as listed in option D, is not a possible value for a correlation coefficient.

Explanation:

In mathematics, particularly in statistics, a correlation coefficient is a measure of the strength and direction of the linear relationship between two variables on a scatterplot. The value of a correlation coefficient ranges from -1 to +1. A correlation coefficient of +1 indicates a perfect positive linear relationship, a correlation coefficient of -1 indicates a perfect negative linear relationship, and a correlation coefficient of 0 indicates no linear relationship.

Therefore, the answer to the question is: D. positive 1.5. This is not a possible value for a correlation coefficient because it lies outside the acceptable range of -1 to +1.

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Find the lateral area for the cylinder with the given measurement
r= 4, h= 5

20 Pi square units

40 Pi square units

80 Pi square units

Answers

[tex]\bf \textit{lateral area of a cylinder}\\\\ LA=2\pi rh~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} r=4\\ h=5 \end{cases}\implies LA=2\pi (4)(5)\implies V=40\pi[/tex]

I need help with PLATO Course Texas Algebra II, Semester A do you think you can help me with the answers?

Answers

Yes I can for sure. How can I help
Other Questions
What type of tissue shortens to perform its function? What hypothesis did Miller-Urey test in their experiment? Question 11 (5 points)A family of elements that contains the most reactive metals is the___noble gasesalkaline earth metalsalkali metalstransition elements Some problems with use of DNA analysis for forensic evidence may occur because of identical twins. not enough of a sample. contaminated samples. degraded samples. All of the above. The ratio of a to b is 2 to 3, where a and b are positive. If x equals a increased by 50% of a and y equals b decreased by 50% of b, what is the value of x/y? Which word correctly completes this sentence? El _____________ memoriza los dilogos para la obra de teatro. A. tramoyista B. director C. actor D. bailarina The planet earth travels in a circular orbit at constant speed around the sun. What is the net work done on the earth by the gravitational attraction between it and the sun in one complete orbit? Assume that the mass of the earth is given by me At a competition with 5 runners, medals are awarded for first, second, andthird places. Each of the 3 medals is different. How many ways are there toaward the medals?Decide if this is a permutation or a combination, and find the number of waysto award the medals. Which aspect of the free enterprise system is not subject to competition?jobspricesprofitsregulations What effect did the breakup of the Soviet Union have on the Cold War 4 pointsWhat causes an ionic bond? Who experiences more pain a man or a woman? Read the excerpt below and answer the question.SHE dwelt among the untrodden ways Beside the springs of Dove,A Maid whom there were none to praiseAnd very few to love:A violet by a mossy stoneHalf hidden from the eye!--Fair as a star, when only oneIs shining in the sky.She lived unknown, and few could knowWhen Lucy ceased to be;But she is in her grave, and, oh,The difference to me! (Wordsworth, "She Dwelt Among the Untrodden Ways")The underlined portion of this poem reflects what romantic ideal?(A) A woman is most beautiful when she is among nature.(B) Great poems often reflect upon moments of powerful emotion.(C) An individual struggling with strong emotions also struggles to communicate his feelings.(D) The beauty of the natural world is inspirational. An unknown substance has been shown to have metallic bonds. Which of the following is most likely a property of this substance?A. low conductivity B. low boiling point C. high malleability D. high solubility in water What were some of the characteristics of Renaissance art? Weathering is an example of an external force of change. Question 2 options: True False Plate divergence is best described a/an _______ process.O A. orogenicO B. isostaticO C. taphrogenicO D. epeirogenic Why is there little farming in Mongolia Which Western nation had the most influence over Muslim countries in northern Africa during the age of new imperialism? Portugal Spain Italy France Which theme is common to the two excerpts?OA.the absence of loveOB.the fragile nature of existenceOC.the question of realityOD.disillusionment with the world