tanθ=sinθ/cosθ

True or False

Answers

Answer 1
If;
A = Adjacent
O = Opposite
H = Hypotenuse

Then,
Sin Ф = O/H
Cos Ф = A/H
Therefore,
(Sin Ф)/Cos Ф) = (O/H)/(A/H) = (O/H)*(H/A) = O/A

Now,
tan Ф = O/A ----

Therefore, it is true that
tan Ф = SinФ/CosФ
Answer 2
Take a right angled triangle  with side lengths x, y, and z, where x is the hypotenuse.
sin θ=z/x
cos θ=y/x
sinθ/cosθ=(z/x)/(y/x)=z/y=tan θ
the statement is true.


Related Questions

Hey can you please help me posted picture of question

Answers

The graph of x² is flipped over x-axis and is narrowed down by a factor of 3.

So, now the  expression graph will be - 3x²

Next, it is shifted to left by 4 units.

So, now the expression will be - 3(x - 4)²

Finally the graph is shifted up by 4 units, 

So, now the graph will be: - 3(x - 4)² + 4

Thus, the answer is option D

Let ABCD be a cyclic quadrilateral. Let P be the intersection of AD and BC, and let Q be the intersection of AB and CD. Prove that the angle bisectors of angle DPC and angle AQD are perpendicular.

Answers

Given:
Cyclic quadrilateral ABCD.
Produce AD and BC to meet at P.
Produce AB and CD to meet at Q,
Angle bisector PJ of angle DPC divides angle DPC into two equal parts,x.
Angle bisector QI of angle AQD divides angle AQD into two equal parts,y.

Solution:
Construct segment PQ.
Name U= angle BPQ
Name V=angle BQP.
See attached figure.

Steps:
1. Consider triangle BPQ:
    U+V=angle ABP  (exterior angle)........................(1)
2. Consider triangle DPQ
    U+2X+V+2Y = 180-angle PDQ  (exterior angle)
    = angle ABC  (cyclic quad->opposite angles are supplementary)
    =>
    U+2X+V+2Y = angle ABC...................................(2)
3. Add (1) and (2)
    U+V + U+2X+V+2Y = angle DPQ+angle ABC
    =>
    2(U+V+X+Y)=180 degrees (angles ABP and ABC lie on a straight lie)
    =>
    U+V+X+Y = 90 degrees = angle IKJ
4. angle bisectors PJ and QI are perpendicular.

A bank account earns interest at a rate of 3.5% per year ( in other words it increases in value by that percent) and starts with a balance of $350. Which of the following equations would give the account’s worth, W, as a function of the number of years, y, it has been gaining interest?

Answers

Final answer:

The account's worth, W, as a function of the number of years, y it has been gaining interest is given by the equation W = $350 + ($350  imes 0.035  imes y).

Explanation:

The equation that gives the account's worth, W, as a function of the number of years, y, it has been gaining interest is:

W = $350 + ($350  imes 0.035  imes y)

Here's an example:

If the account has been gaining interest for 2 years, then W = $350 + ($350  imes 0.035  imes 2) = $364.70.

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x·\sqrt[4]{x}
Rewrite simplest radical form

Answers

To solve this problem you must apply the proccedure shown below:

 1. You have the following expression given in the problem above:

 x√(4x)

 2. You must simplify it as below:

 (x)(4x)^1/2

 3. By the exponents properties, you have:

 4x^3/2
 √(4x^3)

 4. Finally, you obtain:

 2√(x^3)

 5. Therefore, as you can see, the answer is: 2√(x^3)

Answer:

b

Step-by-step explanation:

asdf

Q7 Q26.) Find the quotient of the complex numbers and leave your answer in polar form.

Answers

For any complex numbers in polar form [tex]c_1 = r_1\text{cis}(\theta_1),\ c_2 = r_2\text{cis}(\theta_2)[/tex]

(Where [tex]\text{cis}(\theta) = \cos(\theta) + i\sin(\theta)[/tex])

Then [tex]\dfrac{c_1}{c_2} = \dfrac{r_1}{r_2}\text{cis}(\theta_1-\theta_2)[/tex]

So then for your problem, that would be

[tex]\dfrac{z_1}{z_2} = \dfrac37\text{cis}\left(\dfrac\pi8-\dfrac\pi9\right)=\boxed{\dfrac37\text{cis}\left(\dfrac\pi{72}\right)}[/tex]

So that would be [tex]\boxed{\dfrac37\left(\cos\left(\dfrac\pi{72}\right)+i\sin\left(\dfrac\pi{72}\right)\right)}[/tex]

Hope this helps.

Use part 1 of the fundamental theorem of calculus to find the derivative of the function. g(x) = x e2t2 − 4t dt 4

Answers

Final answer:

Using the Fundamental Theorem of Calculus Part 1, the derivative of the function g(x) = ∫ (x e2t2 - 4t) dt from x=4 is ex2 - 4x where 'x' is the variable 't' from the integral.

Explanation:

The subject of this question is the use of part 1 of the Fundamental Theorem of Calculus to find the derivative of a complex function. This theorem states that if f is a function that is continuous over the interval [a, b] and F is an antiderivative of f on the interval [a, b], then the definite integral of f from a to b is equal to F(b) - F(a).

In your specific question, you are asked to find the derivative of the function g(x) = ∫ (x e2t2 - 4t) dt  from x=4.

The derivative of a definite integral, from a constant to a variable, of a function is simply the original function evaluated at the upper limit.

Therefore, the derivative of the given function g(x) is simply ex2 - 4x, treating 'x' as the variable 't' from the integral.

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Which of the following is the graph of y=|x-1|-4y=∣x−1∣−4y, equals, vertical bar, x, minus, 1, vertical bar, minus, 4?

Answers

The graph of
  y = |x -1| -4
is show here.

Answer:

The graph of given function is shown below.

Step-by-step explanation:

The given function is

[tex]y=|x-1|-4[/tex]           .... (1)

The vertex form of a absolute function is

[tex]y=a|x-h|+k[/tex]         .... (2)

where, a is a constant and (h,k) is vertex.

On comparing (1) and (2), we get

[tex]a=1,h=1,k=-4[/tex]

The vertex of the function is (1,-4). The table of values is

x            y

3          -2

2          -3

1          -4

0          -3

-1          -2

Plot these points on a coordinate plane. Draw a V-shaped curve by connecting these points with vertex at (1,-4).

The image below is a triangle drawn inside a circle with center O:


A triangle is shown inscribed inside a circle. The leg of the triangle labeled 4 inches passes through the center of the circle, O. The other two legs are labeled as 2 inches and 3 inches.


Which of the following expressions shows the area, in square inches, of the circle?


(π = 3.14)


3.14 ⋅ 2

3.14 ⋅ 3

3.14 ⋅ 22

2 ⋅ 3.14 ⋅ 22

Answers

Answer:

3.14 2^2

Step-by-step explanation:

The expressions shows the area, in square inches, of the circle will be 3.14 × 2² square units. Then the correct option is C.

What is a circle?

It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

The image below is a triangle drawn inside a circle with center O:

A triangle is shown inscribed inside a circle.

The leg of the triangle labeled 4 inches passes through the center of the circle, O.

The other two legs are labeled as 2 inches and 3 inches.

The expressions shows the area, in square inches, of the circle will be

Area of circle = (π/4) d²

The diameter of the circle is passing through center. Then the length of the diameter is 4.

Then the area of circle will be,

Area = (π/4) 4²

A = 3.14 × 4

A = 3.14 × 2² square units

The expressions shows the area, in square inches, of the circle will be 3.14 × 2² square units.

Then the correct option is C.

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Tim answered all the questions on his math test but got 101010 answers wrong. He received 444 points for every correct answer, and there was no penalty for wrong answers. His score was 767676 points.
Write an equation to determine the total number of questions (q)(q)left parenthesis, q, right parenthesis on Tim's math test.

Find the total number of questions on his math test.

questions

Answers

a)
4(q -10) = 76 . . . . . Tim got 4 points for every right answer, for a score of 76. He answered correctly 10 fewer questions than were on the test.

b)
q = 10 +76/4
q = 29

The total number of questions on Tim's math test was 29.

Answers:

Equation: [tex]q=\frac{76}{4} +10[/tex]

Questions: [tex]29[/tex]

Also, the verified Tutor above is in fact correct, but this answer is way more simple and easier to understand, thank you for your time :D

Explanation:

                First, we need to find out the questions, even though the first question is, "What is the equation?". So, to the find the answer to how many questions there are in total we need to grab the total points "[tex]76[/tex]" and divide that by "[tex]4[/tex]" because that'll tell us how many questions that he answered correct. Especially since the "[tex]10[/tex]" questions he got wrong didn't affect his points.

                So [tex]\frac{76}{4} =19[/tex]. Now we must add 10 to 19. [tex]10+19=29[/tex]. And so [tex]29[/tex] is the total amount of questions. Now we must write down how we found out. We found out by dividing [tex]76[/tex] and [tex]4[/tex], then we added [tex]10[/tex]!

Conclusion:

                 As simple as that, we found out how many questions there were in total and how we found out! Thank you for sticking with me♥!

Turtle and vicent combine their coins to find they have all dimes and quarters .They have 8 more quarters them dimes and the coins are worth a total of 5.15 .How many dimes and quarters do they have?

Answers

If they set aside the 8 extra quarters, the remaining coins will be pairs consisting of one quarter and one dime--each pair worth $0.35. The value of those pairs is $5.15 -2.00 = $3.15, so there must be $3.15/$0.35 = 9 of them.

There are 9 dimes and 17 quarters.

Q9 Q4.) Write the augmented matrix for the system of equations to the right.

Answers

the augmented matrix is filling in the numbers corresponding to the given letters in the equations

the first equation is x-y +8z = 7
 so the first row in the matrix would be 1 ( there is 1x) -1 ( there is 1 negative y) 8 ( there are 8 z's) and then the answer is 7

 then follow this step for the other 2 equations

see attached picture for answer:
 

Find the missing numerators in each of the following problems. a. 10⁄15 = ⁄60 b. ⁄108 = 4⁄9 c. 7⁄11 = ⁄121 d. ⁄144 = 2⁄6

Answers

We will find the numerator step by step for each expression:
 For 10/15 = x / 60
 x = (10/15) * (60)
 x = 40

 For  x / 108 = 4/9
 x = (4/9) * (108)
 x = 48

 For  7/11 = x / 121
 x = (7/11) * (121)
 x = 77

 For  x / 144 = 2/6
 x = (2/6) * (144)
 x = 48

Final answer:

The missing numerators are found by creating equivalent fractions. By multiplying both the numerator and the denominator by the same factor that converts the original denominator to the new denominator, we find the missing numbers: 40, 48, 77, and 48 for each problem respectively.

Explanation:

To find the missing numerators, we need to use the concept of equivalent fractions. Equivalent fractions have different numerators and denominators but represent the same value.

a. 10⁄15 = ⁄60

We find the factor that converts 15 to 60, which is 4 (since 15 * 4 = 60), and multiply the numerator by the same factor (10 * 4 = 40). So, the missing numerator is 40.

b. ⁄108 = 4⁄9

To convert 9 into 108, multiply by 12 (since 9 * 12 = 108), and do the same with the numerator (4 * 12 = 48). Hence, the missing numerator is 48.

c. 7⁄11 = ⁄121

11 times 11 equals 121, so we multiply the numerator 7 by 11 as well (7 * 11 = 77), giving us 77 as the missing numerator.

d. ⁄144 = 2⁄6

To get from 6 to 144, multiply by 24 (since 6 * 24 = 144), so multiply the numerator 2 by 24 to get 48 as the missing numerator.

Isabel created the tree diagram to represent the different ways she could order a salad at her favorite restaurant.



According to the diagram, how many combinations of lettuce type, dressing, and topping are possible?

Answers

your answer for this is 12

Answer: Option B

(B) 12

Step-by-step explanation:

(08.06 MC) Carly and Janiya put some money into their money boxes every week. The amounts of money (y), in dollars, in their money boxes after certain amounts of time (x), in weeks, are shown by the equations below: Carly y = 60x + 40 Janiya y = 50x + 80 After how many weeks will Carly and Janiya have the same amount of money in their money boxes and what will that amount be? (1 point) 5 weeks, $280 5 weeks, $340 4 weeks, $280 4 weeks, $340

Answers

For this case we have the following equations:
 y = 60x + 40
 y = 50x + 80
 Equaling both equations we have:
 60x + 40 = 50x + 80
 From here, we clear the value of x:
 60x - 50x = 80 - 40
 10x = 40
 x = 40/10
 x = 4 weeks
 Substituting x = 4 in any of the equations we have:
 y = 60 (4) + 40
 y = 240 + 40
 y = 280 $
 Answer:
 
$ 280 4 weeks

Answer:

$ 280 4 weeks

Step-by-step explanation:

What is the probability that a randomly thrown dart that lands within the rectangle lands within a shaded region? All of the circles are congruent, and the diameter of each circle is 100 cm. A. 39/200 B. 49/250 C. 98/125 D. 157/200

Answers

D is the answer because the circle has no sides so it’s 157/200

Two quantities are related as shown in the table below:

x. y
2. 3
4. 4
6. 5
8. 6

Which equation best represents the relationship?

Answers

First you need to find the slope and in order to do that you need to use the following equation:

y-y
——
x-x

The y with the greatest value goes first and then the lowest. Same thing with x.

Choose two coordinates from the table

Ex: (4,4) & (2,3)

4-3=1
——-
4-2=2

The slop is 1/2 or 0.5

There is a y intercept which is 2. You get 2 when you divide 1 by 2

So the equation would be

y=1/2x+2 or y=0.5x+2


Hope this helped

X is a normally distributed random variable with a mean of 5 and a standard deviation of 2. the probability that x is greater than 10.52 is

Answers

p(x > 10.52) ≈ 0.289%

A suitable calculator can help with this.

Final answer:

The probability that X is greater than 10.52 for a normal distribution with a mean of 5 and a standard deviation of 2 is found by calculating the z-score of 10.52. The z-score is 2.76, and the area to the right under the normal curve represents a very small probability, typically less than 0.003.

Explanation:

To find the probability that X is greater than 10.52, when X is a normally distributed random variable with a mean of 5 and a standard deviation of 2, we first need to calculate the z-score for 10.52. Using the formula:

Z = (X - mean) / standard deviation

Substitute the given values into the formula:

Z = (10.52 - 5) / 2 = 5.52 / 2 = 2.76

This z-score tells us how many standard deviations above the mean our value lies. In this case, X = 10.52 is 2.76 standard deviations above the mean.

The probability of X being greater than 10.52 corresponds to the area under the standard normal distribution curve to the right of the z-score 2.76. Using standard normal distribution tables or software, we can find this probability to be very small, typically less than 0.003.

Supposed a Visa card had a credit card number of 4162 0012 3456789a where a is the check number what is the check number? A) 0 B) 3 C) 9 D) 7

Answers

Answer:

Option B) 3

Step-by-step explanation:

we have the number

4162 0012 3456 789a

Find the value of a (check number)

step 1

Multiply every even-position digit (when counted from the right) in the number by two. If the result is a two digit number, then add these digits together to make a single digit

4162 0012 3456 789a

9(2)+7(2)+5(2)+3(2)+1(2)+0(2)+6(2)+4(2)

(18)+(14)+(10)+(6)+(2)+(0)+(12)+(8)

Remember that If the result is a two digit number, then add these digits together to make a single digit

so

(1+8)+(1+4)+(1+0)+(6)+(2)+(0)+(1+2)+(8)

(9)+(5)+(1)+(6)+(2)+(0)+(3)+(8)=34

step 2

add every odd-position digit

4162 00123456 789a

so

8+6+4+2+0+2+1=23

step 3

Adds  the result in step 1 and the result in step 2

34+23=57

The check-digit is what number needs to be added to this total to make the next multiple of 10

In our case, we’d need to add 3 to make 60

therefore

The check number is 3

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Trapezoid K' is the image of trapezoid K after a series of transformations.
Bella and Marco described the sequence of transformations in different ways.Which sequence or sequences are correct and why?

Answers

Answer:

Option A

Step-by-step explanation:

From the graph attached, we will write the transformation as followed.

a. Trapezoid k is dilated by a scale factor of [tex]\frac{3}{2}[/tex]

   [ Since scale factor = [tex]\frac{\text{Largest side of k'}}{\text{Largest side of k}}[/tex]

                                   =  [tex]\frac{12units}{8units}[/tex]

                                   = [tex]\frac{3}{2}[/tex] ]

2. scaled trapezoid then rotated by 180°.

3. Then rotated trapezoid is shifted 1 unit down.

  By these transformations Bella's sequence was correct.

Therefore, Option A is the answer.

A particular hybrid car travels approximately 204 mi on 4 gal of gas. Find the amount of gas required for a 714​-mi trip.

Answers

i think its 13.1 gallons for a 714 mile trip

The car needs 14 gallons of gas for the 714 mile trip.

To determine the amount of gas required for a 714-mile trip, we can set up a proportion based on the given information:

We know that the car travels 204 miles on 4 gallons of gas. We need to find the amount of gas needed for 714 miles. Let the gas required for 714 miles be X gallons

First, let us set up the proportion:

204 mi / 4 gal = 714 mi / X gal

Next, we solve for x (the amount of gas required for 714 miles):

204 mi × X gal = 714 mi × 4 gal204X = 2856X = 2856 / 204X = 14

Therefore, the car requires 14 gallons of gas for a 714-mile trip.

Explain why a square is always a rectangle but a rectangle is not always a square.

Answers

a rectangle is a plane figure with four straight sides and four right angles. A square is a plane figure with four equal straight sides and four right angles. 

therefore, because a square has 4 straight sides with 4 right angles, it is a rectangle. 

and a rectangle can have unequal adjacent sides, so it is not always a square

A pet store has 26 rabbits and hamsters. The number of rabbits is 2 more than double the number of hamsters. How many hamsters does the pet store have?

Answers


[tex]3x26 \: maybe[/tex]

Let the number of rabbits in the pet store is x

And the number of hamsters in the pet store is y.

Now, we have been given that pet store has 26 rabbits and hamsters. Thus, we have the linear equation

[tex]x+y=26...........(1)[/tex]

Now, number of rabbits is 2 more than double the number of hamsters. Hence, we have

[tex]x=2+2y[/tex]

Substituting this value of x in equation 1, we get

[tex]2+2y+y=26\\ 3y=24\\ y=8[/tex]

Thus, there are 8 hamsters in the pet store.

Where does the graph of y=sin x from x=0 to x=2pie start.
A- at its minimum
B- at an x intercept
C- at its maximum
D- between an x intercept and its maximum

Answers

Where does the graph of y=sin x from x=0 to x=2pie start. 
A- at its minimum
B- at an x intercept
C- at its maximum
D- between an x intercept and its maximum

The correct answer is;
A- at its minimum

When a function is graphed. it usually start at its minimum. Considering the plot for the sine function, the Sine Function has this beautiful up-down curve (which repeats every 2π radians, or 360°).

It starts at 0, heads up to 1 by π/2 radians (90°) and then heads down to -1.

What are the correct coefficients (reading from left to right) when the chemical equation is balanced?__pbr3(l)+__h2o(l)→__h3po3(aq)+__hbr(aq)what are the correct coefficients (reading from left to right) when the chemical equation is balanced?________1, 3, 1, 31, 3, 3, 13, 5, 1, 81, 2, 1, 2?

Answers

_1_PBr3(l)+__3H2O(l)→_1_H3PO3(aq)+__3HBr(aq)

1,3,1,3

The correct coefficients (reading from left to right) are chemical equation is balanced as 1PBr₃(l) + 3H₂O(l) → H₃PO₃(aq) + 3HBr(aq). which is the correct answer would be an option (A).

What is the rule of conservation of mass?

Mass, according to the rule of conservation of mass, cannot be generated or destroyed. As a result, the mass of products must match the mass of reactants. Each element's atom count must be identical on the reactant and product sides. As a result, chemical equations are balanced.

According to the given question,

We have to substitute the coefficients (reading from left to right) are 1,3,1,3 in the given chemical equation

Thus, the correct coefficients (reading from left to right) are balanced chemical equation as :

⇒ 1PBr₃(l) + 3H₂O(l) → H₃PO₃(aq) + 3HBr(aq).

Hence, the correct answer would be option (A).

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In a school auditorium there are 33 seats in each row of seats. How many rows are needed for 528 students to each have a seat?

Answers

Okay so we have 528 students. Each row has 33 seats. To find the number of rows needed, you simply divide 528 students by 33 seats. 

528/33  = 16 rows. 
Final answer:

To find the number of rows needed for 528 students to each have a seat in a school auditorium with 33 seats in each row, divide the total number of students by the number of seats in each row. The answer is 16 rows.

Explanation:

To find the number of rows needed for 528 students to each have a seat in a school auditorium with 33 seats in each row, we need to divide the total number of students by the number of seats in each row.

So, the number of rows needed would be:

Rows needed = Total number of students ÷ Number of seats in each row

Substituting the given values:

Rows needed = 528 ÷ 33 = 16

Therefore, 16 rows are needed for 528 students to each have a seat in the auditorium.

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if I have 300 apples and eat 123 how many do I have left?

Answers

300 - 123 = 177

You have 177 apples left. 
300-123=177
You will have 177 apples left.

How to round 4.288 to the nearest hundredth

Answers

For this case we have the following number:
 4,288
 round to the nearest hundredth means that we must rewrite the number using only 2 decimal places.
 Therefore, we must rewrite the number as follows:
 4.29
 We observed that:
 1) the third decimal disappears
 2) the second decimal is rounded to the next number since the third decimal is greater than five.
 Answer:
 
4.29

simplify the expression 11x-(2x^2+8x).

Answers

-2x^2-3x is how you can simplify the expression

Given rectangle PQRS with PQ=QR, PQ=SP, and SQ=6√2. Find SR. a)√2. b) 6. c) 5√2 d) not enough information

Answers

The rectangle is actually a square. In fact, we have that the side PQ is equal to 2 other sides of the rectangle (QR and SP), and this is possible only if all the 4 sides of the rectangle are equal: this means it is a square.

SQ is the diagonal of the square: [tex]SQ = 6 \sqrt{2} [/tex], but we know that in a square, the diagonal is equal to square root of 2 times the length of the side:
[tex]d = \sqrt{2} L [/tex]
where d is the diagonal and L the length of the side. Since in our square the length of the diagonal is [tex]d= 6 \sqrt{2} [/tex], the length of the side must be
[tex]L= \frac{d}{ \sqrt{2} } = \frac{6 \sqrt{2} }{ \sqrt{2} }=6 [/tex]

so, the correct answer is b) 6.

A television is 36 inches by 18 inches. What is the area?

Answers

The area would be length times width so the answer is 648 squared inches!
we know that area of a rectangle is length(×)its breadth and the television is a rectangular screen so the area of television screen is 36 X 18 that is 648square inches.
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7. How does Mao's phrase, "Revolution is not . . ." provide a context clue? A. Mao provides synonyms to help the reader understand his meaning. B. Mao takes into consideration the etymology of the word and describes it. C. Mao uses the statement to compare "revolution" and "resistance." D. Mao provides an understanding of the word when he lists the opposites to his definition. Laurent is being interviewed for the position of content analyst at alping inc. zara, the interviewer, asks laurent to tell her about a time when laurent was able to convince someone to look at things from his perspective. this question posed by zara is an example of a(n) ___ O is the center of the given circle. The measure of angle O is 128. The diagram is not drawn to scale.Assuming that lines that appear to be tangent are tangent, what is the value of x? 0.5 log3 x=2 x = what 2=sqrt P solve for P Governments in the southern colonies were often considered oligarchies. What is an oligarchy? A.rule by a small, often self-selected group B.rule by the majority of the population C.rule by one powerful individual D.rule by a large, often popularly selected group This specter appears and proposes to Redlaw that he can allow him to "forget the sorrow, wrong, and trouble you have known...to cancel their remembrance..." Redlaw agrees. However, before the spirit vanishes it imposes an additional consequence: "The gift that I have given you, you shall give again, go where you will." Identify the transition in this excerpt. A)additional B)agrees C)consequence D)however Read the following scenario. A local political party is preparing to host a town hall-style meeting for mayoral candidates. Citizens will ask the candidates questions about community issues. Organizers of the event are trying to decide how to collect questions. They are considering two options: having citizens tweet questions to candidates, and having citizens write questions on pieces of paper. Which of the following are the consequences to consider when having citizens write questions? Select all that apply. illegible handwriting more waste more time involved collecting questions technology malfunctions The speed of sound in dry air is approximately 340 m/s to 342 m/s at 0c. true or false 30 ml of 0.3 M NaOH are required to titrate H3PO4 to the equivalence point.How many moles of H3PO4 are needed to reach the equivalence point. Show steps please :) In discussing what we should be doing in drug prevention, the text says, "above all" In the words "implode" and "imply," "im-" is an example of __________________.A.a context clueB.a suffixC.a prefixD.a root The planet Mars, I scarcely need remind the reader, revolves about the sun at a mean distance of 140,000,000 miles, and the light and heat it receives from the sun is barely half of that received by this world. what is the tine of this passage? A, calm and intelligent B,miserable C, funny and joking D, jealous and resentful What is the main idea of this paragraph? (PLEASE ANSWER + BRAINLIEST !!!)Everyone is entitled to all the rights and freedoms set forth in this Declaration, without distinction of any kind, such as race, colour, sex, language, religion, poli- tical or other opinion, national or social origin, property, birth or other status.Furthermore, no distinction shall be made on the basis of the political, juris- dictional or international status of the country or territory to which a person belongs, whether it be independent, trust, non-self-governing or under any other limitation of sovereignty. Comparing How did the course of the war in the East differ from how things were progressing in the West? Quadrilateral ABCD has the following vertices: A(-4, -3), B(2, -3), C(4, -6), and D(-4, -6). Quadrilateral ABCD is a A. trapezoidB. parallelogramC. squareD. rectangle What is the standard deviation of the following data set rounded to the nearest tenth? 52.1, 45.5, 51, 48.8, 43.6 which aqueous solution of Kl freezes at the lowest temperature? a) 2 mol of Kl in 1,000. g of water b) 1 mol of Kl in 1,000. g of water c) 2 mol of Kl in 500. g of water d) 1 mol of Kl in 500. g of water On which two fronts did Germany have to fight?France and RussiaFrance and BelgiumSwitzerland and RussiaAustria-Hungary and France Hamilton received a 75 on his algebra exam. The professor is allowing students to take a 7-question bonus quiz to improve their algebra exam score. Each question answered correctly on the bonus quiz will add 3 points to the exam score. Hamilton needs to receive at least a 90 on his exam score in order to make an "A" for the semester. If x represents the number of questions answered correctly on the bonus quiz, which of the following inequalities symbolizes this situation?A. 3x + 75 < 90B. 7x + 75 > 90C. 3x + 75 > 90D. 7x + 75 < 90