PLS HELP ASAP:Find all the missing elements:

PLS HELP ASAP:Find All The Missing Elements:

Answers

Answer 1

Answer:

B = 34.2°

C = 105.8°

c = 12.0 units

Step-by-step Explanation:

Given:

A = 40°

a = 8

b = 7

Required:

Find B, C, and c.

SOLUTION:

Using the Law of Sines, find <B:

[tex] \frac{sin(A)}{a} = \frac{sin(B)}{b} [/tex]

[tex] \frac{sin(40)}{8} = \frac{sin(B)}{7} [/tex]

Multiply both sides by 7

[tex] \frac{sin(40)}{8}*7 = \frac{sin(B)}{7}*7 [/tex]

[tex] \frac{sin(40)*7}{8} = sin(B) [/tex]

[tex] 0.5624 = sin(B) [/tex]

[tex] B = sin^{-1}(0.5624) [/tex]

[tex] B = 34.2 [/tex] (to nearest tenth).

Find <C:

C = 180 - (34.2+40°) (sum of angles in a triangle)

C = 180 - 74.2 = 105.8°

Using the Law of Sines, find c.

[tex] \frac{c}{sin(C)} = \frac{b}{sin(B)} [/tex]

[tex]\frac{c}{sin(105.8)} = \frac{7}{sin(34.2)}[/tex]

Multiply both sides by sin(105.8)

[tex]\frac{c}{sin(105.8)}*sin(105.8) = \frac{7}{sin(34.2)}*sin(105.8)[/tex]

[tex] c = \frac{7*sin(105.8)}{sin(34.2)} [/tex]

[tex] c = 12.0 [/tex]


Related Questions

What is the solution set for StartAbsoluteValue z + 4 EndAbsoluteValue greater-than 15? 11 less-than z less-than 19 Negative 19 less than z less-than 11 z less-than negative 19 or z greater-than 11 z less-than 19 or z greater-than 11

Answers

Answer:

z less-than negative 19 or z greater-than 11

Step-by-step explanation:

Given the inequality [tex]|z+4|>15[/tex], we are to find the solution set of the inequality. Since the the function is an absolute value, this means that the function will be positive and negative.

For the positive value of the function;

[tex]z+4>15\\\\subtract\ 4\ from \ both \ sides\\z+4-4 > 15 -4\\\\z>11[/tex]

For the negative value of the function we have;

[tex]-(z+4) > 15\\\\-z-4> 15\\add\ 4 \ to\ both \ sides\\\\-z-4+4> 15+4\\\\-z> 19\\\\[/tex]

Multiplying both sides of the inequality by -1 will change the sense of the inequality sign;'

[tex]-(-z)< -19\\\\z<-19[/tex]

Hence the solution sets are [tex]z> 11 \ and \ z< -19 \\[/tex] OR z less-than negative 19 or z greater-than 11

Answer:

z less-than negative 19 or z greater-than 11

Step-by-step explanation:

The cost of performance tickets and beverages for a family of four can be modeled using the equation 4x+12=48,where x represents the cost of a. Ticket.how much is one ticket

Answers

Answer:

x=9; one ticket is $9

Step-by-step explanation:

4x+12=48

4x=48-12

4x=36

x=36/4

x=9

Will give brainliest. A farmer is painting a new barn. He will need to calculate the surface area of the barn to purchase the correct amount of paint. In which of the following units can the farmer expect to calculate the surface area? yd2 yd m3 m

Answers

Answer:

yd^2

Step-by-step explanation:

I took the test :)

The farmer calculate surface area in unit of [tex]yd^{2}[/tex]

Surface area :

The surface area of any given object is the area or region occupied by the surface of the object.

Volume is the amount of space available in an object.  Each shape has its surface area as well as volume.Surface area is the total area of the faces of a three-dimensional shape. Surface area is measured in square units.

Thus , The farmer calculate surface area in unit of [tex]yd^{2}[/tex]

Learn more about the surface area here:

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A rectangle has an area of 81 square centimeters. Which of the following would be the rectangle's length and width? (Area = equals length×times width)

Answers

Answer:

length: 9cm

width: 9cm

Step-by-step explanation:

9×9=81

the length is 9cm and the width is also 9cm

Among a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school.

Part II: Exercise 6.16 presents the results of a poll where 48% of 331 Americans who decide to not go to college do so because they cannot afford it.

#1: Calculate a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford it, and interpret the interval in context.
(a) lower bound: ______ (please round to four decimal places)
(b) upper bound: _____ (please round to four decimal places)

#2: Interpret the confidence interval in context:

(A) We can be 90% confident that our confidence interval contains the sample proportion of Americans who choose not to go to college because they cannot afford it

(B) 90% of Americans choose not to go to college because they cannot afford it

(C) We can be 90% confident that the proportion of Americans who choose not to go to college because they cannot afford it is contained within our confidence interval

#3: Suppose we wanted the margin of error for the 90% confidence level to be about 1.5%. How large of a survey would you recommend?
(a) A survey should include at least ________ people.

Answers

Answer:

(1) Therefore, a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford it is [0.4348, 0.5252].

(2) We can be 90% confident that the proportion of Americans who choose not to go to college because they cannot afford it is contained within our confidence interval

(3) A survey should include at least 3002 people if we wanted the margin of error for the 90% confidence level to be about 1.5%.

Step-by-step explanation:

We are given that a simple random sample of 331 American adults who do not have a four-year college degree and are not currently enrolled in school, 48% said they decided not to go to college because they could not afford school.

Firstly, the pivotal quantity for finding the confidence interval for the population proportion is given by;

                         P.Q.  =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of Americans who decide to not go to college = 48%

           n = sample of American adults = 331

           p = population proportion of Americans who decide to not go to

                 college because they cannot afford it

Here for constructing a 90% confidence interval we have used a One-sample z-test for proportions.

So, 90% confidence interval for the population proportion, p is ;

P(-1.645 < N(0,1) < 1.645) = 0.90  {As the critical value of z at 5% level

                                                        of significance are -1.645 & 1.645}  

P(-1.645 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 1.645) = 0.90

P( [tex]-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]\hat p-p[/tex] < [tex]1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.90

P( [tex]\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.90

90% confidence interval for p = [ [tex]\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] , [tex]\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ]

 = [ [tex]0.48 -1.96 \times {\sqrt{\frac{0.48(1-0.48)}{331} } }[/tex] , [tex]0.48 +1.96 \times {\sqrt{\frac{0.48(1-0.48)}{331} } }[/tex] ]

 = [0.4348, 0.5252]

(1) Therefore, a 90% confidence interval for the proportion of Americans who decide to not go to college because they cannot afford it is [0.4348, 0.5252].

(2) The interpretation of the above confidence interval is that we can be 90% confident that the proportion of Americans who choose not to go to college because they cannot afford it is contained within our confidence interval.

3) Now, it is given that we wanted the margin of error for the 90% confidence level to be about 1.5%.

So, the margin of error =  [tex]Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]

              [tex]0.015 = 1.645 \times \sqrt{\frac{0.48(1-0.48)}{n} }[/tex]

              [tex]\sqrt{n} = \frac{1.645 \times \sqrt{0.48 \times 0.52} }{0.015}[/tex]

              [tex]\sqrt{n}[/tex] = 54.79

               n = [tex]54.79^{2}[/tex]

               n = 3001.88 ≈ 3002

Hence, a survey should include at least 3002 people if we wanted the margin of error for the 90% confidence level to be about 1.5%.

PLEASE ANSWER ASAP!!!


Melissa is able to Rollerblade 100 feet in 3.8 seconds. Calculate how fast she Rollerblade in miles per hour?


Answers options given will be in picture



any unrelated answer will be reported​

Answers

Answer:

A

Step-by-step explanation:

100fps=68.182mph

68.182/3.8=17.94

Mellissa's speed will be 17.94 mph.

What is speed?

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

It is given that Melissa is able to Rollerblade 100 feet in 3.8 seconds.

We know that 100fps is equal to 68.182mph.

Mellissa's speed in meters per hour is calculated as:-

S = 68.182/3.8=17.94mph

Therefore, Mellissa's speed will be 17.94 mph.

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Find the equation of the line passing through the pair points (-8,6) (-9,-9). The equation of the line in the form is Ax+By=C.

Answers

Answer:

15x - y = - 126

Step-by-step explanation:

will make it simple and short

first we need to find the slope (m) first in order to get the equation

given: (-8,6) (-9,-9)

                     y2 - y1         -9  -  6

Slope = m = -----------  =  ------------------ =  15

                      -x2 - x1        -9  -  (-8)

so the equation of the line using point (-8,6) and slope 15 is y - 6 = 15( x + 8)

y - 6 = 15x + 120

using the form equation Ax + By = C,  15x - y = -120-6

therefore... 15x - y = - 126       is the answer

Evaluate a + b for a = 12 and b = 6.

Answers

Answer:

Here,

a= 12

b = 6

Then,

a+b

= 12 + 6

= 18

.°. 18 is the solution

Answer:

[tex] \boxed{ \bold{ \boxed{ \sf{18}}}}[/tex]

Step-by-step explanation:

If the values of variables of algebraic expressions are given, the value of the term or expression can easily obtained by replacing the variables with numbers.

Given, a = 12 and b = 6

[tex] \sf{a + b}[/tex]

plug the values

⇒[tex] \sf{12 + 6}[/tex]

Add the numbers

⇒[tex] \sf{18}[/tex]

Hope I helped!

Best regards!!

[tex]f(x) = sqr root x+3 ; g(x) = 8x - 7[/tex]

Find (f(g(x))

Answers

[tex]f(x)=\sqrt{x+3}\\g(x)=8x-7\\\\f(g(x))=\sqrt{8x-7+3}=\sqrt{8x-4}[/tex]

Please help. I’ll mark you as brainliest if correct!

Answers

Answer:

9  3  -7  -13

4  -4  11  8

0  9  2  -4

Step-by-step explanation:

9  3  -7  -13

4  -4  11  8

0  9  2  -4

Answer: 9  3  -7  -13

4  -4  11  8

0  9  2  -4

Step-by-step explanation:

Factor by grouping cd-9d-4c+36

Answers

Answer:

(d-4)(c-9)

Step-by-step explanation:

cd-9d-4c+36

d(c-9)-4(c-9)

pull out the (c-9),

(d-4)(c-9)

In a survey of 15000 students of different schools, 40% of them were found to have tuition before the see examination. Among them 50% studied only mathematics ,30% only science and 10% studied others subject. how many student studied mathematics as well as science.

Answers

Answer:

600

Step-by-step explanation:

first, 40% of 15000 is 6000,

10% of 6000, which is the number of students studying mathematics as well as science, 600

Answer:

•600 students studied both the subject.

Solve for x and y simultaneous equations: 2x+y=10
-3x+y=-5

Answers

Step-by-step explanation:

Hey, there!

Given, equations are,

2x+y=10.............(i)

-3x+y= -5...........(ii)

From equation (i)

y=10- 2x...........(iii)

Putting the value of "y" from equation (iii) in equation (ii).

-3x+y= -5

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

-3x + 10-2x= -5

- 5x = -15

[tex]x = \frac{ - 15}{ - 5} [/tex]

Therefore, x= 3.

Now, putting the value of "x" in equation (iii).

y= 10- 2x

y= 10- 2×3

Therefore, y= 4.

Hope it helps...

The function g is defined as follows for the domain given.
g(x) = 2x+1,
domain = (-5, -1, 2, 3)
Write the range of g using set notation. Then graph g​

Answers

Answer:

g(x): 2(-5)+1= -10+1=-9

2(-1)+1= -2+1=-1

2(2)+1= 4+1=5

2(3)+1=6+1= 7

Hence, the range of [tex]g[/tex] using the set notation is [tex](-9,-1,5,7)[/tex].

What is the function?

Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.

Here given that,

The function g is defined as follows for the domain given.

[tex]g(x) = 2x+1,[/tex]  and domain [tex]= (-5, -1, 2, 3)[/tex]

So,

[tex]x=-5\\2(-5)+1\\= -10+1\\=-9\\\\x=-1\\2(-1)+1\\= -2+1\\=-1\\\\x=2\\2(2)+1\\= 4+1\\=5\\\\x=3\\2(3)+1\\=6+1\\= 7[/tex]

Hence, the range of [tex]g[/tex] using the set notation is [tex](-9,-1,5,7)[/tex].

To know more about the function

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for the first one the answer are
add 5 to both sides
subtract 5 from both sides
add 1/2x to both sides
subtract 1/2 from both sides

the second one is
multiply both sides by 1/5
dived both sides by 1/5
multiply both sides by 6/7
dived both sides by 6/7

Answers

Answer:

1. add 1/2x to both sides

a. you want to combine the like terms. in this case, it is the x variable.

you are left with 7/6x = 5

2. multiply by 6/7

a. the reciprocal of 7/6 will cancel out the values

Please help. I’ll mark you as brainliest if correct

Answers

Answer:

bonds: $65,000

cd's: $30,000

stocks: $20,000

Step-by-step explanation:

b + c + s = 115000

0.045b + 0.0325c + 0.082s = 5540

b = c + 35000

b = 65,000

c = 30,000

s = 20,000

Ernie Rolph borrowed ​$6700 at 4​% annual simple interest. If exactly 1 year later he was able to repay the loan without​ penalty, how much interest would he​ owe? Ernie will owe ​$___ in interest.

Answers

Ernie will owe an interest of $268

From a group of 11 people, 4 are randomly selected. What is the probability the 4 oldest people in the group were selected

Answers

The probability that the 4 oldest people in the group were selected is based on combinatorics is 0.00303 or 0.303%.

Given that:

Find how many ways the 4 oldest people can be selected from the group.

Since the 4 oldest people are already determined, there is only 1 way to select them.

n = 11 (total number of people in the group) and k = 4 (number of people to be selected).

To calculate the probability, to determine the total number of ways to select 4 people from the group of 11. This can be found using the combination formula:

Number of ways to choose k items from n items :

C(n,k) = n! / (k!(n-k)!)

Calculate the total number of ways to select 4 people from the group:

Plugging n and k value from given data:

C(11,4 )= 11! / (4!(11-4)!)

On simplifications gives:

C(11, 4) = 330.

Calculate the probability:

Probability = Number of ways 4 oldest people selected / Total number of ways to select 4 people

Plugging the given data:

Probability = 1 / 330

Probability ≈ 0.00303 or 0.303%.

Therefore, the  probability that the 4 oldest people in the group were selected is based on combinatorics is 0.00303 or 0.303%.

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A passenger train traveled 180 miles in the same amount of time it took a freight train to travel 120 miles. The rate of the freight train was 15 miles per hour slower than the rate of the passenger train. Find the rate of the passenger train.

Answers

Answer:

The passenger train is moving at 45 miles per hour

Step-by-step explanation:

Let the amount of time it took the two trains to travel the distance = t.

Since the two trains traveled the distance at the same time,

Rate of the passenger train =[tex]\frac{180}{t}[/tex]

Rate of the freight train = [tex]\frac{120}{t}[/tex]

Where t is in hours.

From the problem, we can see that the rate of the freight train was 15 miles per hour slower than the rate of the passenger train. Mathematically, we can represent this as

[tex]\frac{120}{t}= \frac{180}{t}-15[/tex]

from the above equation, we can now get our value for t  as

[tex]\frac{120-180}{t}=-15\\\frac{-60}{t}=-15\\t=4 hours[/tex]

We have our time of travel for the two trains as 4 hours.

The rate of the passenger train can now be calculated by 180/4 = 45 miles per hour

URGENT, PLEASE HELP ! (2/5) - 50 POINTS - ! please no wrong answers for points. ! Which scatter plot represents the data?

Answers

Answer:

A  has the points plotted correctly

Step-by-step explanation:

We need to plot the data

A  has the points plotted correctly

B  has the point ( 10,5) plotted on (9,5)

C is missing (-6,-5)

D is missing (-6,-5) and has (-2,1) instead of (-2,-1)

Answer:

A.

Step-by-step explanation:

It would be very helpful to write the points individually from the data. Take the x value and place it with its corresponding y value:

(1,4) ; (2,2) ; (-2,-1) ; (-2,-6) ; (5,-4) ; (-6,-5) ; (10,5)

Now find the graph that has each of these points. You can write these down and cross them out if you find them on the graph, and once you find the graph where all of these points are crossed out, that's the correct graph.

The correct graph is A.

:Done

If the average fixed cost (AFC) of producing 5 bags of rice is $20.00, the average fixed cost of producing 10 bags will be​

Answers

Answer:$40.00

Step-by-step explanation:first divide 20 by 5 and the answer will be 4. now multiply 10 into 4 and you'll get the answer $40.00

In tests of a computer component, it is found that the mean time between failures is 520 hours. A modification is made which is supposed to increase the time between failures. Tests on a random sample of 10 modified components resulted in the following times (in hours) between failures. 518 548 561 523 536 499 538 557 528 563 At the 0.05 significance level, test the claim that for the modified components, the mean time between failures is greater than 520 hours. Use the P-value method of testing hypotheses.
H0:
H1:
Test Statistic:
Critical Value:
Do you reject H0?
Conclusion:
If you were told that the p-value for the test statistic for this hypothesis test is 0.014, would you reach the same decision that you made for the Rejection of H0 and the conclusion as above?

Answers

Answer:

As the calculated value of t is greater than critical value reject H0. The tests supports the claim at ∝= 0.05

If the p-value for the test statistic for this hypothesis test is 0.014, then the critical region is t ( with df=9) for a right tailed test is 2.821

then we would accept H0. The test would not support the claim at ∝= 0.01

Step-by-step explanation:

Mean x`= 518 +548 +561 +523 + 536 + 499+  538 + 557+ 528 +563 /10

x`= 537.1

The Variance is  = 20.70

H0 μ≤ 520

Ha μ > 520

Significance level is set at ∝= 0.05

The critical region is t ( with df=9) for a right tailed test is 1.8331

The test statistic under H0 is

t=x`- x/ s/ √n

Which has t distribution with n-1 degrees of freedom which is equal to 9

t=x`- x/ s/ √n

t = 537.1- 520 / 20.7 / √10

t= 17.1 / 20.7/ 3.16227

t= 17.1/ 6.5459

t= 2.6122

As the calculated value of t is greater than critical value reject H0. The tests supports the claim at ∝= 0.05

If the p-value for the test statistic for this hypothesis test is 0.014, then the critical region is t ( with df=9) for a right tailed test is 2.821

then we would accept H0. The test would not support the claim at ∝= 0.01

Multiple Choice The opposite of –4 is A. 4. B. –4. C. –(–(–4)). D. –|4|.

Answers

Answer:

a. 4

Step-by-step explanation:

-1(-4) = 4

Answer:

A 4

Step-by-step explanation:

opposite of –4 = 4

In your own words, define Quadratic Equation. How many solutions does a Quadratic Equation have?

Answers

Answer: an equation that has one term which is nameless and squared also no term which gets raised to higher power.

Step-by-step explanation:

Yiadom is y
years now.
What would be
his age in the next ten
years.

Answers

Answer:

(y+10 ) years

Step-by-step explanation:

If Yiadom is y  years now.

Then after 10 years, his anew age will be = (y+10) yrs

HELP ASAP ROCKY!!! will get branliest.​

Answers

Answer:

work pictured and shown

Answer:

Last one

Step-by-step explanation:

● [ ( 3^2 × 5^0) / 4 ]^2

5^0 is 1 since any number that has a null power is equal to 1.

●[ (3^2 ×1 ) / 4 ]^2

● (9/4)^2

● 81 / 16

3y – 6x = 3 y = 2x + 1

Answers

Answer:

infinite solutions along the line y = 2x+1

Step-by-step explanation:

3y – 6x = 3

y = 2x + 1

Replace y in the first equation with the second equation

3 ( 2x+1) -6x =3

6x +3 -6x = 3

3=3

This is always true so there are infinite solutions along the line y = 2x+1

Step-by-step explanation:

Hi, there!!!

you mean to solve it, right.

then let's begin...

3y-6x=3..........epuation 1.

y = 2x+1..........equation 2.

now, substituting the value y of equation 2 in equation 1. so, we get,

3y-6x=3

or, 3(2x+1) -6x = 3

or, 6x+3-6x=3

by simplifying it we get, 3=3

so, this equation can have infinite solution.

you may have wrote wrong question ..

Kent Co. manufactures a product that sells for $60.00. Fixed costs are $285,000 and variable costs are $35.00 per unit. Kent can buy a new production machine that will increase fixed costs by $15,900 per year, but will decrease variable costs by $4.50 per unit. What effect would the purchase of the new machine have on Kent's break-even point in units?

Answers

0riginal break even point:

285000/ 60/35 = $166,250

New break even point = new fixed costs / ( selling price - variable cost/ selling price)

New break even point = 285,000 + 15,900. / ( 60-( 35-4.50)/60

300,900 / 60-30.50/60 = $612,000

The new break even point increases.

10. (01.02)
Given the function f(x)
3x - 4
5
which of the below expressions is correct? (1 point)
5x+4
f-1(x) =
3
f-1(x)
5x - 4
3
O f-'(x)
-344
-3x – 4
5
4–3x
f-1(x) =
5

Answers

Answer:

5x+4f-1(x)=3 this is short answer

the height of a soccer ball that is kicked from the ground can be approximated by the function:

y = -12x^2 + 60x

where y is the height of the soccer ball in feet in x seconds after it is kicked. Find the time, in seconds, it takes from the moment soccer is kicked until it returns to the ground​

Answers

Answer:

5 seconds

Step-by-step explanation:

Well we know that when the soccer ball is on the ground the height will be 0.

So we replace y with 0 and solve for x.

0=-12x²+60x

factor out and divide x, (this x is x=0, which is before he kicked it)

0=-12x+60

subtract 60 from both sides

-60=-12x

x=5

Other Questions
This lesson focuses on changes in African nations in the twentieth century. Think about the African countries youve heard of. List as many of these countries as you can. "After entering the house we switch on television." change the voice. La seora Vila ________ (preferir) un viaje a las montaas y no a los glaciares. estoy pedido estoy pidiendo est preferido est prefiriendo Solve the equation for X (If possible please show work) Need Assitance*Show Work* The early civilizations of Mesoamerica civilizations were located in what modern-day region?the region that is now Mexico and the countries in Central Americathe region that is now Canada and the United Statesthe region that extends from Mexico to the bottom of South Americathe region that now includes Mexico and the United States Which sentences contain imagery? Check all that apply.The musky, smoky odor wafted from the glowing fireplace.The car's bright headlights twinkled in the distance.Miguel decided to visit his grandmother yesterday.Eric's eardrums shuddered in rebellion at the bird's screeching.The train stopped at Hanson Station every day. Read this dialogue spoken by Lord Capulet in Act I, scene v of Romeo and Juliet. You are welcome, gentlemen! Come, musicians, play. A hall! a hall! give room, and foot it, girls. [Music plays, and they dance.] More light, ye knaves! and turn the tables up, And quench the fire, the room has grown too hot Based on these lines, which conclusion can be drawn about Lord Capulet What is the median of the following set of measurements?"22 kg, 24 kg, 28 kg, 19 kg, 27 kg",The median of the measurements is kg. What did the Mayas develop? (A) intricate roads to connect different parts of their empire (B) stone carvings that showed images of their rulers (C) a calendar based on a solar year of 365 days (D) an urban area with a system of canals Which one of these relations are functions ?Please helpppp fast when it is 4pm in delhi(75)east it is 6pm in singapore find the longitudes of singapore Andy Pearson ran PepsiCo Inc. for nearly 15 years, driving revenues from $1 billion to $8 billion. In 1980, Fortune named him one of the 10 toughest bosses in the United States. Pearson was singled out for the relentless demands that he put on his people. As one employee put it, Pearson's talents were often "brutally abrasive." Every year, without hesitation, he fired the least productive 10% to 20% of his workforce. Pearson used a(n) _____ leadership style. 6) An angle is equal to one-ninth of its supplement. What is the measure ofthat angle?O A 18O B 24C 36O D 45 A/An ______________________________ is a specialized radiographic examination of the uterus and fallopian tubes. Question 94 options: The distribution of city championship wins shared by 3 HS girls basketball teams in Clayton, MO is as follows: Rockefeller HS 12, Clayton West 20, Clayton South 7. Rounded to the nearest 10%, approximately what percentage of the total wins does each team have? You make 85,000 per year and your company matches 50 cents for every dollar you deposit into your 401k plan, up to 8% of your salary. what is y ? x=1 y=? y=3x-7 Write a story about a boy who experience something unexpected when he staying home alone. What happen and how it affected himself??? use whittaker method to classify bacteri, protozoa, fungi, algae, prokaryotic and eukaryotic