2) In A ABC , if LA = 60° , LB = 450 then find tc.​

The mean number of unused vacation days is 8.64.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number.

To find the mean of the unused vacation days, find the midpoint of the upper and lower boundary and then multiply by its respective frequency and divide the sum by the sum of frequency.

Days  Frequency  Mid point               (mid point x frequency)

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

4 - 6        22           (4 + 6) / 2 = 5          (5 x 22) = 110

7 - 9         14           (7 + 9) / 2 = 8          (8 x 14) = 112

10 - 12        2          (10 + 12) / 2 = 11       (11 x 2) = 22

13 - 15       17           (13 + 15) / 2 = 14     (14 x 17) = 238

Sum         56                                                          484

Mean - 484 / 56 =  8.64                                        

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The 340 liters of leaves did Adam rake.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Let X = the liters of leaves that Adam raked.

We have to find How many liters of leaves did Adam rake.

According to given question we have

Convert 5.0% into a decimal by moving the decimal point two spaces to the left we get

Then Tapiwa raked X + .05X liters of leaves is equal to 1.05X liters of leaves  is equal to 357.

Divide both sides by 1.05

X = 340 liters

Therefore, the 340 liters of leaves did Adam rake.

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The cost of hot dogs are 1.25 and the cost of hamburgers are 1.50.

Let x=hot dogs a/

Let y = hamburgers

x + 7y = 11.75

x + y = 2.75

Subtract the second equation from the first.

x + 7y = 11.75

-(x + y = 2.75)

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

      6y = 9.50

     divide by 6

       y = 1.50

Substitute the y value in the simplest equation to solve for  x

x +   y   = 2.75

x + 1.50= 2.75

   -1.50   -1.50

x = 1.25

Hot dogs are 1.25 and hamburgers are 1.50.

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At a concession stan,one hot dog and one hamburger cost $2.75, one hot dog and seven hamburgers cost $11.75. Find the cost of one hot dog and one hamburger

Answer:

4:33 or 4/33

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Using a slope triange we can see that the rise is 1 and the run is 1 and 1/1=1

Answer:

Step-by-step explanation:

Let total shirts be x.

Then, Striped shirts = 1/9x

Remaining Shirts= 8/9x

Therefore, Printed Shirts = 5/8 × 8/9x

= 5/9x

Remaining Shirts

or

Plain Shirts= x - ( 5/9x + 1/9x )

= 3/9x

Acc. to problem,

Plain Shirts=81

Therefore,

3/9x=81

=> x=81×9/3

=> x=27×9=243

Therefore,

Total Shirts= 243

I hope that helps you

Answer: 54

It’s funny how I asked the same question around 10 minutes ago xD People told me it’s 54 so here you go :D

The line which shows another way to name the ray LR is line: LD.

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

Collinear points can be defined as three or more points that all lie on the same straight line (single line). Based on the geometric figures shown in the image below, the three collinear points include the following:

In this scenario, the line which shows another way to name the ray LR is line LD because it points upward in the same direction as ray LR.

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Answer:

x = 7

y = -3

Step-by-step explanation:

You can add both standard equations to cancel out x, and solve for y.

Because -3x + 3x = 0.

Then substitute the solved y value into either equation to find x.

Answer: It does not matter.

Step-by-step explanation:

Its because of the commutative property.

Answer:

[tex]2x^2+4x+2[/tex]

Step-by-step explanation:

[tex](f \circ g)(x)=f(g(x)) \\ \\ =f(x+1) \\ \\ =2(x+1)^2 \\ \\ =2(x^2+2x+1) \\ \\ =2x^2+4x+2[/tex]

Answer:

the other answer is right mark them as brainliest!!!

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

Original = $874,990

New = $769,991

874,990 - 769,991/874,990

104,999/874,990

0.12

Turn to percentage

0.12 * 100

= 12%

Answer:

12%

Step-by-step explanation:

Given:

Percent change formula

[tex]\sf percent\:change=\left|\dfrac{final\:value-initial\:value}{initial\:value} \right|\times 100[/tex]

Substitute the given values into the formula:

[tex]\begin{aligned}\implies \sf percent\:decrease & = \sf \left|\dfrac{769991-874990}{874990} \right|\times 100\\& = \sf 0.1200002286 \times 100\\& = \sf 12.00002286... \\& = \sf 12\% \end{aligned}[/tex]

Therefore, the Percent of Decrease (markdown) to the nearest percent is 12%.

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

Explanation:

Rule: We cannot divide by zero.

Because of that rule, we'll set the denominator equal to zero and solve for x. This way we can determine the x value(s) that are to be excluded from the domain.

6 - |x-1| = 0

|x-1| = 6

x-1 = 6 or x-1 = -6

x = 6+1 or x = -6+1

x = 7 or x = -5

Those x values are to be excluded from the domain, since they make the denominator zero.

Imagine a number line in which we poked open holes at -5 and 7

Combining everything gets us x < -5; -5 < x < 7; x > 7

2x+4y=450

2x=450-4y

x=450-4y÷2----- equation 1

4x+2y=420

4x=420-2y

x=420-2y÷4----- equation 2

putting the value of x in equation 1

x=450-4y÷2

420-2y÷4=450-4y÷2

2(420-2y)=4(450-4y)

840-4y=1800-16y

840-1800=-16y-4y

-960= -12y

y=80

putting the value of y in equation1

2x+4y=450

2x+4×80=450

2x+320=450

2x=450-320

2x=130

x=130÷2

x=65

Answer:

87.5%

Step-by-step explanation:

28/32=0.875

0.875*100= 87.5

87.5% of 32 = 28

Answer:

The point with coordinates (-3,4) is located in quadrant II. The point with coordinates (-4,0) is located on the x-axis. The point with coordinates (0, -5) is located on the y-axis.

Answer:

in the upper right Quadrant.

Step-by-step explanation:

I hope this helps

Answer:

26.183 ft^3

Step-by-step explanation:

Step one:

given

cone

height 5 feet and

radius of its base 5 feet

Required

The volume

Step two:

the formula for the volume of a cone is

v=1//3πr^2h

substitute

v= 1/3*3.142*5*5

v=78.55/3

v=26.183 ft^3

The value of cotθ where θ is in fourth quadrant is [tex]-\frac{5}{\sqrt{171} }[/tex]  which is option (A).

It is given that cosθ = 5 /14 .        ....(1)

As we know that cosθ  = Base / Hypotenuse     ...(2)

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

Base = 5 and Hypotenuse = 14

Using Pythagorean theorem , we get

          Hypotenuse² = Perpendicular² + Base²

                   14²   = P² + 5²

                   196 = P²  +25

                    171 = P²

                   ± [tex]\sqrt{171}[/tex] = P

Then , cotθ = Base / Perpendicular

                   = ±[tex]\frac{5}{\sqrt{171} }[/tex]

As in fourth quadrant cotθ is negative so cotθ will be negative.

So , we will consider the negative value .

  Cotθ = - [tex]\frac{5}{\sqrt{171} }[/tex]

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Answer:

Linear

Step-by-step explanation:

You can simplify the equation by distributing the 9 in:

y = 18x  ⇒  And this equation is indeed linear

So, that means that y = 9(2x) is linear

Hope this helps! :)

y = 9(2x) is a linear function as the function given exactly one output for one input.

Given that,
To determine whether the given expression is a linear function or nonlinear function,

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
The given function y = 9(2x)
Simplifying the given function,
y = 18x
Above relation shows that y has linear relationship with x,

Thus, y = 9(2x) is a linear function as the function gives exactly one output for one input.

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Answer:

86 is the answer as it is the number after 85

Answer:

3.14

Step-by-step explanation:

Given that:

Mean weight (m) = 79 ounces

Population standard deviation (s) = 13.1

Sample size = 47

Maximal margin of error associated with 90% confidence interval.

The margin of error is given by:

Zcritical * (standard deviation / sqrt(sample size)

Z critical at 90% confidence interval = 1.645

Hence,

Zcritical * (standard deviation / sqrt(sample size)

1.645 * 13.1 / sqrt(47)

1.645 * (13.1 / 6.8556546)

1.645 * 1.9108313

Hence, the margin of error is :

3.1433174885

= 3.14

The probability that a defective product was found by the first inspector is 80% since the first inspector catches 80% of the defectives.

Probability is a linear scale measurement of the likelihood of an outcome occurring out of many possible outcomes.

Probability refers to the chance that something or an event happens when other events could have occurred.

Probability is measured in percentages, fractions, or decimals.  The probability of an outcome does not exceed one.  When it is one, it shows that the event is certainly going to happen.

Percentage of defectives found by the first inspector = 80%

Percentage of defectives not found by the first inspector = 20% (1 - 80%)

Percentage of defectives not found by the second inspector = 40%

Percentage of defectives found by the second inspector = 60% (1 - 40%)

Thus, the probability that a defective product was found by the first inspector is 80% since the first inspector catches 80% of the defectives.

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Answer:

1/4 = 2/8

Step-by-step explanation:

1/4 = p/8

p = 8/4

p = 2

Follow my account^^

Answer:

I love baby Yoda.

Step-by-step explanation: His little blushies, his cute little smol body, his yawns and his kawaiiness in general makes you love him. You unconsciously go awwww <3

Answer:

Baby Yoda is indeed very cute

Step-by-step explanation:

They did a very good job with the CGI in the Mandalorian and baby Yoda deserves all the love it is given

The numbers are 13 and 3.

Let the numbers be x and y. Equation representing difference of these numbers-

x - y = 10 : equation 1

Equation representing product of these numbers- x × y = 39 : equation 2

Rewriting the equation 2 in terms of y

y = 39/x : equation 3

Keeping the value of y from equation 3 in equation 1

x - 39/x = 10

Multiplying the equation by x

x² - 39 = 10x

Rearranging the equation

x² - 10x - 39 = 0

Factorising the equation

x² - 13x + 3x - 39 = 0

x(x - 13) +3 (x - 13) = 0

(x + 3) (x - 13) = 0

Value of x = 13 and -3

Taking positive value of x

Keeping value of x in equation 3

x = 13

y = 39/13

y = 3

Hence, the numbers are 13 and 3.

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Answer:

A

Step-by-step explanation:

He increased by 10% because of 80% to 90% is 10%

So, the Answer  is A

Answer:

12.5%

Step-by-step explanation:

The question is asking for the percent increase of 80%. So how much of 80% was the new percentage (90%) increased by.

First, find the difference 90-80=10

Then find the percent of 80 that the difference is.

10/80=0.125

0.125 in a percent form is 12.5%

So, there was a 12.5% increase.

Answer: Cecil’s weight is the sum of Alan's weight and Bruce's weight.

Alan’s weight in terms of Dylan's weight is 2d + 3.

Bruce’s weight in terms of Dylan's weight in 3d − 12.

So, the expression for Cecil’s weight in terms of Dylan’s weight is (2d + 3) + (3d − 12).