Tangent ratios can be greater than or equal to 1 because...

Answers

Answer 1

Tangent ratios can be greater than or equal to 1 because acute angle is between 45 degrees and 90 degrees.

If the opposite side is longer than the adjacent side, then the tangent ratio will be greater than 1.

Similarly, if the opposite side is equal in length to the adjacent side, then the tangent ratio will be equal to 1.

In general, the tangent ratio can be greater than or equal to 1 when the opposite side is longer or equal in length to the adjacent side. This occurs when the acute angle is between 45 degrees and 90 degrees.

It is important to note that when the acute angle is less than 45 degrees, the tangent ratio will always be less than 1. Conversely, when the acute angle is greater than 90 degrees, the tangent ratio will be negative and less than 1.

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Related Questions

8(m + 4) as a equilalent expression

Answers

Hence, the  equivalent expression  of 8(m + 4) is 8 m + 32.

What is the expression?

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

What is the equivalent expression?

Two  expressions are equivalent  if they can be simplified to the same  third expression or if one of the expressions can be written like the other. In  addition, you can also determine if two expressions are equivalent when values are substituted in for  the variable and both arrive at the same answer.

we  know  that,  the  distributive  property of multiplication over addition,

that  is  a(b + c) = ab + ac.

So, apply  this  property in  8(m + 4),

than we get:

8(m + 4) = 8 m + 8(4)

8(m + 4) = 8 m + 32

Therefore,  the  equivalent  expression  for 8(m + 4) is 8 m + 32.

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uppose we have the anova results from an experiment to compare yields (as measured by dried weight of plants) obtained under a control and two different treatment conditions. calculate the mean square treatment

Answers

Answer: To calculate the mean square treatment (MST), we need to have the sums of squares for treatment (SST) and the degrees of freedom for treatment (dfT).

Assuming that there are k treatment groups and a total of n observations, we can calculate SST and dfT as follows:

SST = Σ(xi - x_bar)^2 - Σ(yi - y_bar)^2 / n

where xi is the dried weight of plants for the i-th treatment group, x_bar is the mean dried weight of plants for all treatments combined, yi is the dried weight of plants for the control group, and y_bar is the mean dried weight of plants for the control group.

dfT = k - 1

Once we have calculated SST and dfT, we can find MST by dividing SST by dfT:

MST = SST / dfT

Note that SST is the sum of squares for treatment, which represents the variation in the response variable that is due to the different treatment conditions. MST represents the average amount of variation in the response variable that can be attributed to the treatment conditions.

Without knowing the specific values for the dried weight of plants, it is not possible to calculate SST and dfT, and therefore the MST.

Step-by-step explanation:

what is the difference between 1/2 and 1/2%

Answers

Answer:

1/2 is half a number while 1/2% means 50%

[Part A] Which is the ratio for sin A, written as a fraction in simplest form?

Answers

The ratio for sin A, written as a fraction in simplest form, is 3 / (2√3).

The sine function is a mathematical function that takes an angle as its input and returns the ratio of the length of the side opposite to the angle to the length of the hypotenuse in a right triangle

In a right triangle, the sine of an angle A is defined as the ratio of the length of the side opposite to angle A to the length of the hypotenuse. Therefore, we have:

sin A = Opposite / Hypotenuse

Substituting the given values, we get

sin A = CB / AB = 8√3 / 16 = √3 / 2

To simplify this fraction further, we can multiply both the numerator and denominator by √3:

sin A = (√3 / 2) × (√3 / √3) = 3 / (2√3)

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The given question is incomplete, the complete question is:
Which is the ratio for sin A, written as a fraction in simplest form?

Can you pls help? This is geometry

Answers

Answer:

[tex]x^{2} + y^{2} = 36[/tex]

Step-by-step explanation:

The form of the equation for a circle is [tex](x-h)^{2} + (y-k)^{2} = r^{2}[/tex], where [tex](h, k)[/tex] is the center and [tex]r[/tex] is the radius. Here, (h, k) is (0,0) and r is 6, so the equation would just be [tex]x^{2} + y^{2} = 36[/tex].

Answer:

x² + y² = 36 (top right answer)

Formula for the circle:

(x - h)² + (y - k)² = r²

h = X center point  

k = Y center point

The exponential function P(x)

undergoes a transformation in the following graph.


The preimage of the transformation is labeled P(x),

and the image is labeled I(x).

Answers

The statements that correctly describe this transformation include the following:

B. the y-intercept changes from (0, -3) to (0, 3).

D. the x-intercept is not affected by the transformation.

E. the function is reflected in the x-axis.

G. I(x) = -P(x).

What is a transformation?

In Mathematics and Geometry, a transformation can be defined as the movement of a point from its initial position to a new location. This ultimately implies that, when a function or object is transformed, all of its points would also be transformed.

In Mathematics and Geometry, a reflection over the x-axis is modeled by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

y-intercept = (0, -3)   →  y-intercept' = (0, -(-3)) = (0, 3).

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Carmen deposits $600 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 3 years

Answers

Carmen will be paid $36 in interest in the first 3 years on her deposit of $600 at a simple interest rate of 2% per year.

Given

Principal: $600

Annual interest rate: 0.02

Time period: 3

To Find

Interest ?

Solution

To calculate the interest that Carmen will be paid in the first 3 years on her deposit of $600 at a simple interest rate of 2% per year, we can use the formula:

I = P * r * t

where I is the interest, P is the principal (the initial amount deposited), r is the annual interest rate (as a decimal), and t is the time period (in years).

Substituting the given values, we get:

I = 600 * 0.02 * 3

I = $36

Therefore, Carmen will be paid $36 in interest in the first 3 years on her deposit of $600 at a simple interest rate of 2% per year.

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Quadrilateral ABCD has diagonals AC and BD. Which information
is not sufficient to prove ABCD is a parallelogram?
(1) AC and BD bisect each other.
(2) AB CD and BC
(3) ABCD and AB
(4) ABCD and BC

Answers

On solving the provided query we have Another characteristic of parallelograms is that one of the diagonals, BC, bisects the other side, AD, as stated in statement (4).

What is equation?

A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.

The facts (3) ABCD and AB are insufficient to demonstrate that ABCD is a parallelogram.

The diagonals are bisected by each other, which is a characteristic of parallelograms, according to statement (1).

According to statement (2), opposing sides of a parallelogram are congruent and parallel, which is another characteristic of parallelograms.

Another characteristic of parallelograms is that one of the diagonals, BC, bisects the other side, AD, as stated in statement (4).

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A certain number is increased by 6 and then multiplied by 4. This equals 94.

Answers

Answer:

22

i took this one

Answer:

17.5

Step-by-step explanation:

94 divided by 4 is 23.5 and I subtracted 6 from 23.5

the results of a survey show that 40$ of 300 students choose Recycling as the top priority or their generation? how many students choose recycling?

Answers

the answer is 120 students

Bob and Carl each rented the same kind of moving truck from EZ Move. There was a flat rental fee plus a charge per mile that the truck was driven. Bob’s cost for his truck was $112. 96 for 138 miles. Carl’s cost for his truck was $142. 78 for 209 miles. Which equation can be used to represent the cost of the rental truck?

Round to the nearest hundredth if necessary. Y = 71 x minus 29. 82
y = 25 x minus 66
y = 0. 42 x + 71
y = 0. 42 x + 55

Answers

The equation that represents the cost of the rental truck is y = 0.42x + 71. The Option C is correct.

Which equation represents cost of rental truck?

Let x be the number of miles driven

Let y be the cost of the rental truck.

We can set up a system of equations to represent the given information:

For Bob:

y = mx + b

112.96 = 138m + b

For Carl:

y = mx + b

142.78 = 209m + b

Solving for b in both equations, we get:

b = 112.96 - 138m

b = 142.78 - 209m

Setting the two expressions for b equal to each other, we get:

112.96 - 138m = 142.78 - 209m

209m - 138m  = 142.78 - 112.96

71 m = 29.82

m = 0.42

Substituting m into equation for b:

b = 71.

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DUE FRIDAY PLEASE HELP !!!!

Answers

Answer:

The same line.

Step-by-step explanation:

We have to decide whether the lines are perpendicular, neither parallel nor perpendicular, parallel, or the same line. We can check if a line is perpendicular by finding the slope. The line is perpendicular if the slope of one line is the negative reciprocal of the second line.

Let's try to solve for the Y-intercept (where X = 0) of both of these functions.

y + 3x = -4

y + 3(0) = -4

y + 0 = -4

:. y = -4

And now the other one:

y = -3x-4

y = -3(0) - 4

:. y = -4

Since y = -4 in both cases, well, now we have our answer. The answer is it's the same line, so the fourth answer is correct. All the other ones - perpendicular, neither parallel nor perpendicular, and parallel - are incorrect by process of elimination. We don't actually have to keep going from here. But we can (although I won't).

A teacher was interested in the subject that students preferred in a particular school. He gathered data from a random sample of 100 students in the school and wanted to create an appropriate graphical representation for the data.

Which graphical representation would be best for his data?

Stem-and-leaf plot
Histogram
Circle graph
Box plot

Answers

Answer:

A circle graph would be appropriate here.

URGENT - Will also give brainliest to simple answer
Find the length of the arc that outlines the sector ​

Answers

Answer:

arc length ≈ 37.7

Step-by-step explanation:

the arc length is calculated as

arc = circumference of circle × fraction of circle

    = 2πr × [tex]\frac{135}{360}[/tex] ( r is the radius )

   = 2π × 16 × [tex]\frac{3}{8}[/tex]

   = 32π × [tex]\frac{3}{8}[/tex]

  = 4π × 3

  = 12π

  ≈ 37.7 ( to the nearest tenth )

In the 30-60-90 triangle below side s has a length of And hypotenuse has a length of

Answers

Answer:

 D. √3 ; 2

Step-by-step explanation:

 30/60/90 triangles have sides of 1/√3/2 respectfully.

30 pairs with 1, 60 pairs with √3, 90 pairs with 2.

the angles pair with whatever side it is directly diagonal to.

i hope this helped you in some way! let me know if you are confused.

edit: my brainly keeps messing up my text

The downside of using an interface for integration is that the data will not be as ________ as it would be if it were integrated more directly.
A) accurate
B) timely
C) economical
D) valuable

Answers

The downside of using an interface for integration is that the data will not be as accurate as it would be if it were integrated more directly.

When it comes to integrating data between different systems or applications, there are different approaches that can be taken.

One common method is to use an interface, which acts as a bridge between the two systems and facilitates the exchange of data.

However, while interfaces can be useful for integrating data, there are some downsides to this approach, including the potential for reduced accuracy.

The reason for this is that interfaces often require data to be transformed or mapped between the two systems, which can introduce errors or inconsistencies.

For example, if the data in one system is stored in a different format or with different data types than the other system, this may need to be converted before it can be transferred.

Similarly, if there are differences in the way that data is organized or labeled in the two systems, this can create challenges when integrating the data.

In contrast, more direct methods of integration, such as database replication or data synchronization, can be more accurate since they involve copying data directly from one system to another without the need for transformation or mapping.

However, these methods can also be more complex and costly to set up and maintain.

Ultimately, the choice of integration method will depend on the specific needs and constraints of the organization. While interfaces may have some drawbacks in terms of data accuracy, they can still be a useful tool for integrating data in many situations.

It is important to carefully consider the tradeoffs between different integration methods and choose the one that best meets the needs of the business.

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Find the length of the third side. If necessary, round to the nearest tenth.
13
12

Answers

Answer:

17.7

Step-by-step explanation:

using the pythagorean theorem, plug in and solve.

hi

with Pythagoras we have :

13²+12² = 313

so answer is [tex]\sqrt{313}[/tex] ≈ 17.7  rounded.

The term of an AP is 75 and the 25th is also 75. Find the common difference and the sum of the 100terms

Answers

According to arithmetic progression, the sum of the first 100 terms is 7500 and the common difference is 0.

In this case, we know that the first term (a1) is 75, and the 25th term (a25) is also 75. So we can use the formula with n = 25:

common difference = (a25 - a1) / (25 - 1)

common difference = (75 - 75) / 24

common difference = 0

Since the common difference is 0, this means that all the terms in the sequence are the same. In other words, this is not really an arithmetic progression - it's just a sequence of 100 terms, all of which are equal to 75.

To find the sum of the first 100 terms, we can use the formula:

sum = (n/2)(first term + last term)

where n is the number of terms, and the last term is the 100th term.

In this case, we know that the first term (a1) is 75, and all the terms are the same. So the last term (a100) is also 75. Therefore, we can use the formula with n = 100:

sum = (100/2)(75 + 75)

sum = 50 x 150

sum = 7500

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The radius of a circle is 9 inches. What is the area of the circle to the nearest tenth? Question 2 options: 28.3 square inches 56.5 square inches 224.8 square inches 254.3 square inches

Answers

The area of the circle rounded of to the nearest tenth having radius 9 inches is 254.3 square inches.

Hence option d is the correct answer.

The radius of a circle is, say r = 9 inches

The formula of calculating area of a circle is,

Area = πr² (square units)

= π(9)² square inches

= 81π square inches

Let us take π= 3.14 (approximated up to two decimal places).

Thus, area of the circle = 81(3.14) square inches = 254.34 square inches

Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.

Rounding of a number to its nearest tenth gives the original number to round of to one decimal place.

Here Area =  254.34 square inches is rounded of to the nearest tenth is 254.3 square  inches, since the digit after the first decimal place of the original number is lesser than 5 then we round down the number by decreasing the previous place value digit by 1.

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Hey I need help with this can someone help me please.

Answers

The coordinates of point U are (-h, 0).

What is the coordinate of point U?

To find the coordinates of point U in the parallelogram RSTU, we can use the properties of parallelograms. In a parallelogram, opposite sides are parallel, and hence they have the same slope.

Given that point S is at (0, 0), we can calculate the slope of RS as follows:

Slope of RS = (y2 - y1) / (x2 - x1)

= (0 - g) / (0 - (-f)) (Substituting coordinates of R and S)

= g / f

Since RS and TU are opposite sides of the parallelogram, they must have the same slope. Thus, the slope of TU is also g / f.

Given that point T is at (h, 0), we can calculate the equation of the line TU in point-slope form using the slope we just found:

y - y1 = m(x - x1) (Point-slope form of a line)

where;

m is the slope of TU and (x1, y1) is the coordinates of point T.

Plugging in the values, we get:

y - 0 = (g / f)(x - h)

Simplifying, we get:

y = (g / f)x + gh / f

Now, we can substitute the coordinates of point U, which are (x, y), into the equation we just found:

y = (g / f)x + gh / f

y = (g / f)x + gh / f

Since U lies on the x-axis (i.e., y = 0), we can set y = 0 in the equation and solve for x:

0 = (g / f)x + gh / f

(g / f)x = -gh / f

x = -h

So, the x-coordinate of point U is -h.

Now, we can substitute the value of x = -h into the equation we found earlier to get the y-coordinate of point U:

y = (g / f)x + gh / f

y = (g / f)(-h) + gh / f

y = -gh / f + gh / f

y = 0

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Need help please and thank you

Answers

Answer:

y=2/3x-6 1/3

Step-by-step explanation:

y+1=2/3(x-8)

first do the distributive property.

2/3*x=2/3x

2/3*-8= -5 1/3

2/3x-5 1/3

then we subtract 1 from both sides

y=2/3x-6 1/3

y=2/3x-6 1/3

Explanation: I did the problem, i need more points. LIKE THIS

10-
9
8
7
6
654321
AJ
B
1 2 3 4 5 6 7 8 9 10
a) What are the coordinates of A?
b) What are the coordinates of B?
X

Answers

The coordinates of B when it is given that A(5,-2) and M(12,6) is (29, 14).

How to find the coordinates

If M is the mid-point of line segment AB, and the coordinates of A = (5,-2) while the coordinates of B = (12,6), then the coordinates of M = (8.5,2), which is what you stated that you got.

You are provided with M = (12,6) so you need to identify the coordinates of B. So, just ask yourself how did I get from A to M ? The answer is move 7 right and 8 up since 5 + 7 = 12 while -2 + 8 = 6. All you have to do is add 7 more to the x-value and 8 more to the y-value to obtain the correct answer of (19,14).

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Find the coordinates of B when it is given that A(5,-2) and M(12,6),

Determine if the following system of equations has no solutions,infinitely many solutions or exactly one solution -x+5y=-8 2x-10y=10

Answers

Answer:



Step-by-step explanation:

PLEASEEEE HELP ME I NEEEED AN EXPERT TO DO THIS ):

Answers

Answer: B

Step-by-step explanation:

Answer:

The answer is B) -35.16 grams per half-life cycle

Question 11 (Multiple Choice Worth 5 points)
(Multi-Step Linear Equations MC)
Determine the value of x in the equation.
Infinite solutions
O No solution
Ox= 1
Ox= 3

Answers

As a result, the value of x in the equation is zero. option b is correct no solution.

How to solve the multi-step linear equation?

To find x, we will first simplify both sides of the equation by spreading the coefficients as follows:

5/7 * (x + 2) - 3/7x = 2/7(x + 5)

5/7x + 10/7 - 3/7x = 2/7x + 10/7

Then, on each side of the equation, we'll combine like terms:

(5/7x - 3/7x - 2/7x) + 10/7 = 10/7

To simplify the coefficients even further, we have:

(10/7x) + 10/7 = 10/7

Subtraction of 10/7 from either side:

10/7x = 0

Finally, by multiplying both sides by the reciprocal of 10/7, we may find x:

x = 0 * 7/10

x = 0

As a result, the value of x in the equation is zero. option b is correct no solution.

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Please help!!! It would be highly appreciated!!!

Answers

Answer:

  -x⁵ +3x² +3x +C

Step-by-step explanation:

You want the indefinite integral of (-5x⁴ +6x +3).

Power rule

The power rule for integration is the reverse of the power rule for derivatives.

  [tex]\begin{array}{ll}\text{Derivative:}&\dfrac{d(x^n)}{dx}=n\cdot x^{n-1}\\\\\text{Integral:}&\displaystyle\int {x^n}\,dx=\dfrac{x^{n+1}}{n+1}\end{array}[/tex]

Application

An indefinite integral represents a family of functions, each with the same derivative. In general, they may differ by a constant. That constant is necessary to signify the functions that will have the given expression as their derivative.

  [tex]\displaystyle\int {(-5x^4+6x+3)}\,dx=-5\dfrac{x^{4+1}}{4+1}+6\dfrac{x^{1+1}}{1+1}+3\dfrac{x^{0+1}}{0+1}=\boxed{-x^5+3x^2+3x+C}[/tex]

please explain your answer to the question in a step-by-step manner please.

Answers

The answer is D

its diagonals are perpendicular

Suppose you are given two ordered pairs A and B. Explain how to write the equation of a line parallel to AB through a given point.

Answers

Answer: To write the equation of a line parallel to AB through a given point, we need to follow these steps:

Find the slope of the line AB. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:

m = (y2 - y1)/(x2 - x1)

Let the coordinates of points A and B be (x1, y1) and (x2, y2) respectively. Then, the slope of the line AB is:

m = (y2 - y1)/(x2 - x1)

Since we want to find the equation of a line parallel to AB, the slope of this line will also be equal to m.

Let the given point be (x0, y0). Using the point-slope form of the equation of a line, we can write the equation of the line passing through (x0, y0) with slope m as:

y - y0 = m(x - x0)

Substituting the value of m found in step 1, we get:

y - y0 = (y2 - y1)/(x2 - x1) * (x - x0)

This is the equation of the line parallel to AB passing through the point (x0, y0).

Note that we assume that the line passing through A and B exists and is not vertical. If the line is vertical, then its slope is undefined, and we cannot find the equation of a parallel line using this method. In that case, we need to use a different method to find the equation of the line.

Step-by-step explanation:

What is 475. 189 475. 189 rounded to the nearest hundredth? ​

Answers

After rounding 475.189 to the nearest hundredth we get 475.19 .

Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.

Rules of rounding a number to its nearest hundredth is,

The original number would be rounded up to two decimal places as it represents to its hundredth decimal place.

If the digit after the second decimal place of the original number is greater than (equals to) 5 then we round up the number, by increasing the previous place value digit by 1.

And if the digit after the second decimal place of the original number is lesser than 5 then we round down the number, by decreasing the previous place value digit by 1.

Here in 475.189 the digit after second decimal is 9 which is greater than 5, hence we round up the number by increasing the previous value (that is, second decimal digit)  by 1 we get 475.19 (to the nearest hundredth).

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HELP ASAP ON TIME LIMIT !!
Add.
(4d + 7) + (4d² + 8d + 9)

Answers

The expression (4d + 7) + (4d² + 8d + 9) simplifies to 4d² + 12d + 16.

Adding the expressions

from the question, we have the following parameters that can be used in our computation:

(4d + 7) + (4d² + 8d + 9)

We can simplify the expression by combining like terms:

(4d + 7) + (4d² + 8d + 9) = 4d² + (4d + 8d) + (7 + 9)

= 4d² + 12d + 16

Therefore, (4d + 7) + (4d² + 8d + 9) simplifies to 4d² + 12d + 16.

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HOW WOULD YOU SOLVE FOR THIS PLEASE??!!Pb(NO3)2 (aq) + 2 KBr (aq) --> PbBr2 (s) + 2 KNO3 (aq)part 1: If this reaction starts with 32.5g lead (II) nitrate and 38.75g potassium bromide, how many grams of the precipitate will be produced? (use the limiting reactant to calculate the amount of precipitate formed) how primary care provider rolepsychiatric specialist? The primary reason that no new English colonies were founded between 1634 and 1670 was the Interval estimates are preferred over point estimates since a confidence level can be specified. (True or False) Which of the following events occur first during resting inhalation?1) Atmospheric pressure exceeds air pressure in the lungs.B) Volume in the lungs decreases.C) The diaphragm and external intercostal muscles contract.D) Volume in the lungs increases.E) The diaphragm and external intercostals relax. in the following reaction, how many molecules of bh3 are required to react with 6 molecules of 2-methyl-2-butene? ch9 d2 q5.pdf Please Help :))) If DE| |AB, by the Side Splitter Theorem, ... T/F: for a know simple query, a fully meets rating can be given if the result does not display the answer, but it is at the very top of the landing page. President Trump's speech at the World Economic Forum in Davos emphasized the economic benefits of corporate tax cuts in the United States.A. TrueB. False What type of reaction is the synthesis of benzil from benzoin? A small radio transmitter broadcasts in a 40 mile radius. If you drive along a straight line from a city 55miles north of the transmitter to a second city 51 miles east of the transmitter, during how much of thedrive will you pick up a signal from the transmitter?miles What deception is Vincent (the main character) trying hard to maintain The most common grist component in beer is: how did the natives make use of scientific ideas at 3:00 pm, andy began walking directly south from point a at a rate of 4 mi/h. at the same time, bill started walking directly west from point b to point a, at a rate of 5 mi/h. the distance between a and b is 9 miles. assume that both of them stop walking when bill reaches point a. at what time will be distance between andy and bill be minimized? round your answer to the nearest minute. What do you do about funding issues long term for certain programs? Show Sample AnswerPart BIn general, how do the measures of the angles in the image compare with the measures of the angles in the preimage?What affect does the scale factor of the dilation have on the angles, if any? Please help studying for next grade:192-84(71+16)x3 How many grams of NaCl (molarmass=58g/mol) are needed to prepare 100.mL of a 0.25M NaCl solution?A) 0.23gB) 0.43gC) 0.67gD) 1.5g The accumulation of abnormally folded proteins and unassembled subunits in the ER can induce increased expression of ER protein-folding catalysts via the unfolded protein response.TrueFalse