Find an angle in each quadrant with a common reference angle with 168⁰, from
0°<0<360°
Quadrant I:
Quadrant III:
Quadrant II:
Quadrant IV:
Submit Answer
attempt 1 out of 2

114 is 95% of 120

100% of 120 is 120, therefore 95 percent of 120 equals 114. To learn how to solve 114 is 95 percent of what number, see the step-by-step instructions below.

114 is 95 Percent of What Number?

Formula = Number x 100

Percent = 114 x 100

95 = 120

The following shows the steps to derive this formula and find out 95% of the number is 114.

Step 1: If 95% of a number is 114, then what is 100% of that number? Set up the equation.

114

95% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

95Y = 114 x 100

95Y = 11400

Y = 11400

100 = 120

Answer:

5 more students caw n enroll in 5th grade

Step-by-step explanation:

21 +23 + 23 = 67

72- 67 = 5

The values are 1) x = 6, y = 2√3 and 2) x = 49, y = 49√3.

Given are two right triangles we need to find the missing sides,

We will use Trigonometric ratios to find the same.

We know that,

Sin a = perpendicular / hypotenuse

Cos a = base / hypotenuse

Tan a = perpendicular / base

1) Sin 60° = x / 4√3

x = √3/2 × 4√3

x = 6

Cos 60° = y / 4√3

1/2 × 4√3 = y

y = 2√3

2) Cos 60° = x / 98

x = 1/2 × 98

x = 49

Sin 60° = y / 98

√3/2 = y / 98

y = 49√3

Hence the values are 1) x = 6, y = 2√3 and 2) x = 49, y = 49√3.

Learn more about Trigonometric ratios click;

https://brainly.com/question/23130410

#SPJ1

Answer:

B.RY/RS=RX/RT=XY/TS

Step-by-step explanation:

If Triangles RST and RYX are similar, then the ratio of their corresponding sides is:

\(\dfrac{RS}{RY}= \dfrac{ST}{YX}=\dfrac{RT}{RX}\\$This could also be written by switching the numerator and denominators as:\\\dfrac{RY}{RS}= \dfrac{XY}{TS}=\dfrac{RX}{RT}\)

Out of the given options, Option B is true.

Answer:

To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them. If the reduced fractions are all the same, then you have proportional ratios.

Step-by-step explanation:

Answer:

they are proportional

Step-by-step explanation:

to find if they are proportional, we will take x/y ratios and compare several of them, it will tell us if they are proportional or not and give us the constant of proportionality

x1/y1 = 21/3 = 7/1

x2 / y2 = 70 / 10 = 7 / 1

x3 / y3 = 49 /7 = 7 / 1

Since the x/y ration does not change, they are proportional, which means that whatever the value of y, the value of x will be y multiplied by the constant of proportionality

and the constant of proportionality is 7

Answer:

2520

Step-by-step explanation:

There are 7 letters in MCHNLRN and they can be arranged into 7 ways:

7! = 5040 ways in total

However, the letter 'N' is repeated so we have to divide it by 2.

5040 ÷ 2 = 2520 ways

Answer:

2,520 ways

Step-by-step explanation:

MCHNLRN has 7 letters with one repetition.

therefore, =7!/2!

=2,520 ways

Answer:

p=1 is the right answer I hope I helped

Answer:hi I believe is is Ben and Elizabeth

Step-by-step explanation:

The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .

We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.

Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.

In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:

z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1

Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:

0.8413 - 0.1587 = 0.6826

We can get the percentage of consumers who spent between by multiplying this by 100% is  \($149,000\)  and \($151,000\):

0.6826 x 100% = 68.26%

Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\)  for this model of new homes.

For such more questions on standard deviation

https://brainly.com/question/30557671

#SPJ11

The answer of the given question based on the percent is , 20.49 trillion is about 52.84% larger than 13.4 trillion.

Percentage is a way of expressing a quantity or value as a fraction of 100. It is a widely used method for describing proportions, rates, changes, and comparisons in various fields such as mathematics, economics, statistics, science, and everyday life. The term "percent" literally means "per hundred", and it is represented by the symbol "%". To convert a number to a percentage, we multiply it by 100 and add the symbol "%".

To find the percent larger that 20.49 trillion is to 13.4 trillion, we can use the following formula:

Percent change = (New value -Old value) /Old value * 100%

Plugging in the values we have:

Percent change = (20.49 trillion - 13.4 trillion) / 13.4 trillion * 100%

= 7.09 trillion / 13.4 trillion * 100%

= 52.84%

Therefore, 20.49 trillion is about 52.84% larger than 13.4 trillion.

To know more about Fraction visit:

https://brainly.com/question/11947917

#SPJ1

Answer:

2,9

Step-by-step explanation:

As a result, Volkswagen's total productivity metric is 0.8647.

In mathematics, an equation is a statement that asserts the equality of two expressions. An equation typically consists of two expressions, separated by an equal sign (=), and it is read as "A equals B" or "A is equal to B". Equations are used to represent relationships between different quantities or variables. The quantities or variables in an equation can be numbers, variables, or a combination of both. Equations are an important concept in mathematics and are used in a wide variety of fields, such as physics, engineering, and economics. They are used to model real-world situations, solve problems, and make predictions. In some cases, equations may also have multiple solutions, which can represent different possible outcomes of a situation.

Here,

To compute the total productivity measure for Volkswagen, we can use the formula:

Total Productivity = Output / Input

where Output is the total dollar value of finished products and work in progress, and Input is the total cost of labor, materials, and capital.

From the problem, we have:

Output = $57,120

Input = $66,112

Plugging these values into the formula, we get:

Total Productivity = $57,120 / $66,112

Simplifying, we get:

Total Productivity = 0.8647

Therefore, the total productivity measure for Volkswagen is 0.8647.

To know more about equation,

https://brainly.com/question/2228446

#SPJ1

Therefore ,a s a result, the answer to the given equation problem is that a carpet costs $2072.

When all of the highest powers of the variables are equal to one, an equation is said to be linear. The parts are linked together. Another name for this kind of problem is a one-degree equation. The following paragraphs will teach you how to solve a linear equation in one or two variables using the usual form, formula, graph, and directions.

Here,

Given :

50a + 12h is the floor area of a square foot.

where h is the amount of hours.

Thus.

When t=6 and a=40

So ,

the price of carpeting

=> Price = 50a plus 12h

=> Cost = 50*40 + 12*6

=> Cost = 2000 + 72

=> Cost = 2072

As a result, the answer to the given equation's problem is that a carpet costs $2072.

To know more about equation ,visit

brainly.com/question/10413253

#SPJ1

Answer:

45

Step-by-step explanation:

This is a combination question: how many ways can you pick 2 people from a group of 10?

Using the notation C(10, 2) for the number of combinations of 10 things chosen 2 at a time...

\(C(10, 2)=\frac{10!}{2!(10-2)!}=\frac{10!}{2!\cdot 8!}=\frac{10\cdot 9}{2\cdot 1}=45\)

Answer:

(2, -1, 1 )

Step-by-step explanation:

solution file attached

Answer:

∠ MON = 51°

Step-by-step explanation:

∠ LON is composed of the 2 angles LOM and MON , that is

∠ LOM + ∠ MON = ∠ LON

42° + ∠ MON = 93° ( subtract 42° from both sides )

∠ MON = 51°

Answer:

<MON= 51°

Step-by-step explanation:

Look at the diagram and locate LON. You can see that LON is the angle of the complete line. Now LOM is given which is the angle of a part of the lines. So that means that to find MON we can minus LON with LOM.

<MON= <LON - <LOM

= 93-42

<MON= 51°

Feel free to ask any doubt you have!

Answer:

\(9.8704 * 10^1\)

Step-by-step explanation:

The standard form is called the scientific notation expressed generally as;

\(A * 10^n\)

A is an integer between 1 and 10

n is ant integer or fraction

Given the decimal value 98.704, we ill shift the decimal point to the back once to have;

98.704 = \(9.8704 * 10^1\)

Note the when the decimal point is shifted backwards the value of n is always positive. Hence the expansion in power of 10 is \(9.8704 * 10^1\)

\(s = 44.0\:\text{m}\)

Step-by-step explanation:

First convert the angle into radian measure:

\(315°×\left(\dfrac{\pi}{180°}\right) = 5.50\:\text{rad}\)

The arc length s is given by

\(s = r\theta = (8\:\text{m})(5.50\:\text{rad}) = 44.0\:\text{m}\)

We can deduce that option A is likely to be true based on the given graph of rolling dice median data.

The median is the value in the middle of a data set, which means that 50% of the data points have a value less than or equal to the median, and 50% of the data points have a value greater than or equal to the median.

The graph illustrates that the median value of the rolls is closer to the center of the possible outcomes (numbers 3, 4, and 5) than the extremes (numbers 1 and 6).

This implies that when rolling a dice several times, the median is less likely to fall between the numbers 1 and 6.

However, because rolling the dice is a random process, there is always a degree of uncertainty in predicting the outcomes.

Learn more about dice here:

https://brainly.com/question/23637540

#SPJ1

Hey There!!

The answer to this is: 25 times larger. The scale factor is 5, so each side length of the polygon was multiplied by 5.

Key Idea

If the length of a figure scales by x, then area of the figure scales by x^{2}

The Polygon B is created with a scale factor of 5. So, the area of Polygon B scales by 5^{2}

5^{2} = 5 × 5=25

The area of Polygon B is 25 times larger than the area of Polygon A

Hope It Helped!~ ♡

ItsNobody~ ☆

The equation of a circle that is congruent to circle C and is centered at point P is (x - 5)² + (y - 1)² = 5².

In Geometry, the standard form of the equation of a circle is modeled by this mathematical equation;

(x - h)² + (y - k)² = r²

Where:

Based on the information provided, we have the following parameters for the equation of this circle:

By substituting the given parameters, we have:

(x - h)² + (y - k)² = r²

(x - 5)² + (y - 1)² = 5²

Read more on equation of a circle here: brainly.com/question/15626679

#SPJ1

Answer:

x = 12.85714286 (as a decimal)

x = \(\frac{90}{7}\) (as a fraction)

Step-by-step explanation:

These 2 triangles are similar.

\(\frac{20}{x} = \frac{20 + 8}{x + 18}\)

20(x + 18) = x(20 + 8)

20x + 360 = 20x + 8x

20x + 360 = 28x

360 = 28x

x = 12.85714286 or x = \(\frac{90}{7}\)

I believe the correct anwser is 45

a. The secant slope through (-2,4) and (0,0) is -2.

b. The secant slope through (-1.5,2.25) and (-0.5,0.25) is -2.

The estimated slope of the tangent line to f(x) = x^2 at x = -1 is approximately -2.

To estimate the slope of the tangent line to the function f(x) = x^2 at x = -1, we can find the slopes of the secant lines through different pairs of points.

a. (-2,4) and (0,0):

The coordinates of the two points are (-2, 4) and (0, 0). We can calculate the slope of the secant line passing through these points using the formula:

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

Plugging in the values, we get:

msec = (0 - 4) / (0 - (-2))

= -4 / 2

= -2

So, the slope of the secant line passing through (-2, 4) and (0, 0) is -2.

b. (-1.5, 2.25) and (-0.5, 0.25):

The coordinates of the two points are (-1.5, 2.25) and (-0.5, 0.25). Using the slope formula, we can calculate the slope of the secant line passing through these points:

msec = (0.25 - 2.25) / (-0.5 - (-1.5))

= (-2) / (1)

= -2

So, the slope of the secant line passing through (-1.5, 2.25) and (-0.5, 0.25) is -2.

By finding the slopes of the secant lines, we have estimated the rate of change of the function f(x) = x^2 at x = -1. The slope of the tangent line at this point will be very close to these secant slopes, particularly as the two points used to calculate the secant lines get closer together.

for such more question on secant slope

https://brainly.com/question/27877215

#SPJ8

Answer: 20%

Step-by-step explanation: Annual depreciation = $2,600 * 12 = $31,200

Annual depreciation rate = Annual depreciation /Depreciable costs

= $31,200 / ($188,000 - $32,000)

= 20%

The total number of winning hands are 276.

Probability is defined as the ratio of favorable outcomes to all other possible outcomes of an event. The symbol x can be used to express the quantity of successful outcomes for an experiment with 'n' outcomes. The probability of an event can be calculated using the following formula.

Probability of an event = Number of favourable outcomes/Total number of outcomes = x/n.

In the given question,

If the first card drawn is a 10, then there are

\(P_9^2=\frac{9!}{(9-2)!} =9*8=72 hands\)

There are 9 possible numbers if the second card is a 10, and there are 8 possible numbers if the third card, giving us,

\(9*8= 72 hands\)

If the third card is 10 then there are 9 possible numbers for the first card and 8 possible numbers for

second card, it gives us

\(9*8= 72 hands\)

And there are 5 odd cards, and it gives us:

\(P_5^3=\frac{5!}{(5-3)!} =5*4*3=60 hands\)

So, we have that in total we have

72+72+72+60=276 winning hands.

To learn more about the probability visit:

brainly.com/question/11234923.

#SPJ4

Answer:

the 16th

Step-by-step explanation:

common multiplier of 3 and 5 is 15, so add 15 to July 1

Answer:

The answer is B

Step-by-step explanation:

Btw if its wrong im sorry

Answer: Senior: $8, Child: 14

Step-by-step explanation:

3s + c = 38

3s + 2c = 52

c = 14

3s + 14 = 38

3s = 24

s = 8

Answer:

Child=$14 Senior=$8

Step-by-step explanation:

288 ounces of water are left in the water tank.

What is arithmetic?

Arithmetic is an elementary part of mathematics that consists of the study of the properties of the traditional operations on numbers—addition, subtraction, multiplication, division, exponentiation, and extraction of roots

Here, we have

Given: Tom has a water tank that holds 5 gallons of water. tell me this is water for my footing to fill six bottles they each hold 16 ounces and a picture that holds one over 2 gallons.

1 gallon = 128 ounces, 2 gallon = 256 ounces

6 bottles × 16 ounces = 96 ounces

2 gallon + 96 ounces = 256 + 96 ounces = 352 ounces

5 gallon = 5 × 128 = 640 ounces

= 640 - 352 = 288 ounces

Hence,  288 ounces of water are left in the water tank.

To learn more about the arithmetic from the given link

https://brainly.com/question/28369191

#SPJ1

Answer:

3/8

Step-by-step explanation:

\( \frac{p}{q} = \frac{ \frac{3}{4} }{ \frac{2}{1} } \\ \frac{p}{q} = \frac{3}{8} \)

\( \frac{p}{r} = \frac{ \frac{1}{3} }{ \frac{1}{2} } \\ \frac{p}{r} = \frac{2}{3} \)

\( \frac{ \frac{p}{q} }{r} = \frac{ \frac{3}{8} }{ \frac{2}{3} } \\ \frac{ \frac{p}{q} }{r} = \frac{9}{16} = \frac{3}{8} \)