- A circle is divided into 5 equal parts.
What is the measure of the angle that
turns through 2 parts?

Step-by-step explanation:

thats shape is a delta

:)

Answer:

arrow head

Step-by-step explanation:

Answer:

0.25 g/mL

Step-by-step explanation:

d=m/v

6 g / 24 mL

0.25 g/mL

both (g) and mL were only used once so the answer includes both of them

Answer:

Arectangle=27.68cm (approximately)

Step-by-step explanation:

in order to find the area of the rectangle first you need to find the measure of the length and width.

since both of them aren't given ,use trigonometry to find the value of the length and width.

sin30°=opposite/hypotenuse

sin30°=opposite/8cm

opposite=sin30°*8cm. >sin30°=0.5

opposite=4cm

cos30°=adjacent/hypotenuse

cos30°=adjacent/8cm

adjacent=cos30°*8cm. cos30°=0.866

adjacent=6.92cm (approximate value)

Arectangle= bh

Arectangle=4cm*6.92cn

Arectangle=27.68cm

You will need 280 cups of cranberry juice and 56 cups of Sprite to make 56 cups of the famous punch.

What is the ratio definition?

A ratio is a mathematical comparison of two or more values or quantities. It is usually written as a fraction, with the first value or quantity being the numerator and the second value or quantity being the denominator.

To make 56 cups of famous punch using the ratio of 5 cups of cranberry juice to 2 cups of Sprite, you can use the following method:

Write the ratio of cranberry juice to Sprite as a fraction: 5 cups cranberry juice / 2 cups sprite

Multiply the fraction by the desired number of cups of punch: (5 cups cranberry juice / 2 cups sprite) x 56 cups punch

Simplify the equation by cross-multiplying: 5 cups cranberry juice x 56 cups punch = 2 cups sprite x 56 cups punch

Solve for the number of cups of cranberry juice: 5 cups cranberry juice x 56 cups punch = 280 cups of cranberry juice

To find the amount of Sprite use the ratio 5:2, meaning you have to use 2 cups of sprite for every 5 cups of cranberry juice. So use 280/5*2 = 56 cups of sprite

Hence, you will need 280 cups of cranberry juice and 56 cups of Sprite to make 56 cups of the famous punch.

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\((\stackrel{x_1}{4}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{-2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-2}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{4}}}\implies \cfrac{-6}{-3}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{4}=\stackrel{m}{2}(x-\stackrel{x_1}{4}) \\\\\\ y-4=2x-8\implies y=2x-4\)

Step-by-step explanation:

(4, 4) and (1, -2).

(x1,y1) and (x2,y2)

slope=(y2-y1/x2-x1)

m= -2-4/1-4

m=2

slopeintercept form

y=2x-4

point slope form

y-4=2(x-4)

From the two column proof below, we have seen ∠BAC ≅ ∠DAC by CPCTC

The two column proof to show that ∠BAC ≅ ∠DAC is as follows:

Statement 1: ΔABD is Isosceles with base BD, AC ⊥ BD

Reason 1: Given

Statement 2: AB ≅ AD

Reason 2:  Definition of isosceles Triangles

Statement 3: ∠1 and ∠2 are right angles

Reason 3: Definition of perpendicular

Statement 4: AC ≅ AC

Reason 4: Reflexive Property

Statement 5: ΔABC and ΔADC are right triangles

Reason 5: Definition of right triangle

Statement 6: ΔABC ≅ ΔADC

Reason 6: HL Congruency

Statement 7: ∠BAC ≅ ∠DAC

Reason 7: CPCTC

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Answer:

It would be D the angles are unrelated

Step-by-step explanation:

It would be D because PTQ and QTS doesn't look alike with angles

Answer:

104ft

Step-by-step explanation:

First - find the area of triangles.

h = hight

b = base
h • b / 2

5 • 8 /2 = 20ft

And

4 • 6 /2 = 12ft

And then area of the rectangle.
l • w

9 • 8 = 72 ft

Than add. Them all together

Answer

Part A: 95 > 23 + 12p

Part B: There must be  more than 6  people at each table.

Step-by-step explanation:

95 > 23 + 12p

= 23+12p<95

= 23+12p-23<95-23

= 12p<72

= 12p/12 < 72/12

= p < 6

please mark brainliest :)

Answer:

x + 15 = 114

Step-by-step explanation:

The description tells us that a number “x” is increased by 15, which means that 15 was added to that number “x”. The description also tells us that the answer is 114, so the equation would equal 114.

To make those long multiplications:

1. Multiply the one digit factor for the last digit of the third digit factor: (7*1=7). Write the result as the last digit of the produnct (answer). If the result of multiplication is a two digits number you write the last digit and carry the other digit over the middle digit of (481):

2. Multiply the one digit factor for the middle digit of 481: (7*8=56). If the result of multiplication is a two digits number(56) you write the last digit (6) and carry the other digit (5) over the first digit of (481):

3. Multiply the one digit factor for the first digit of 481: (7*4=28). Add to the result the 5 you carry over (28+5=33):

You follow the same steps for the other multiplication:

1. 9*8=72 (carry 7 to second digit of 178)

2. 9*7=63. Add 7(63+7=70) (Carry 7 to first digit of 178)

3. 9*1=9. Add 7 (9+7=16)

Answer:

7/12 or 58.333%

Step-by-step explanation:

There are the 36 possible outcomes.  

6+5+4+3+2+1 = 21 are greater than 6  

Probability is 21/36 = 7/12 or 58.333%

Answer:

1. Y

2. YX , YZ

3. X

4. XZ

The triangle of given dimensions is isosceles and acute triangle.

Triangle is a shape with three sides and hence three angles. We know that triangles are classified according to the sides and angles. Based on angles, the classification of triangle is acute, obtuse and right triangle.

Based on sides, the classification of triangle is equilateral, isosceles and scalene triangle. Now, if the dimensions will form a triangle or not can be estimated through the formula -

side 1 + side 2> side 3

We see that 17 + 17 > 12

34 > 12

Thus, the triangle will form.

Moreover the two sides are equal hence it will be isosceles triangle. Since two sides are equal thus two angles will also be equal.

Now, if we square the sides and find their sum, it will be greater than square of third side. Hence, it is acute triangle.

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Answer:

x = {-3, 4}

Step-by-step explanation:

(3x + 9)(x − 4) = 0

Solution 1

3x + 9 = 0

3x = -9

x = -3

Solution 2

x - 4 = 0

x = 4

x = {-3, 4}

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

if by solve you meant expand

(3x + 9)(x − 4) = 0

3x² - 12x + 9x - 36 = 0

3x² - 3x - 36 = 0

Answer:

x = 4

x = - 3

Step-by-step explanation:

Method 1

Quadratic Formula

(3x + 9)(x - 4) = 0

3x(x - 4) + 9(x - 4) = 0

3x² - 12x + 9(x - 4) = 0

3x² - 12x + 9x - 36 = 0

3x² - 3x - 36 = 0

3(x² - x - 12) = 0

\(\frac{3(x^{2} - x - 12)}{3} = \frac{0}{3}\)

\(x={\frac{-b±\sqrt{b^{2}-4ac } }{2a} }\)

Ignore the A after the -b, wouldn't let me type it correctly. Ignore the A for the rest of the explanation as well.

x² - x - 12 = 0

a = 1

b = - 1

c = - 12

\(x={\frac{-(-1)±\sqrt{(-1)^{2}-4(1(-12)) } }{2(1)} }\)

\(x={\frac{-(-1)±\sqrt{1-4(1(-12)) } }{2(1)} }\)

\(x={\frac{-(-1)±\sqrt{1+48 } }{2(1)} }\)

\(x={\frac{-(-1)±\sqrt{49 } }{2(1)} }\)

\(x={\frac{1±7 }{2(1)} }\)

\(x={\frac{1±7 }{2} }\)

Separate into two equations.

One with addition and the other with subtraction.

\(x={\frac{1+7 }{2} }\)

\(x={\frac{1-7 }{2} }\)

x = 4

x = - 3

Method 2

Factors

(3x + 9)(x - 4) = 0

3x(x - 4) + 9(x - 4) = 0

3x² - 12x + 9(x - 4) = 0

3x² - 12x + 9x - 36 = 0

3x² - 3x - 36 = 0

3(x² - x - 12) = 0

3(x² + 3x - 4x - 12) = 0

3(x² + 3x + (- 4x - 12)) = 0

3(x(x + 3) - 4(x + 3)) = 0

3(x - 4)(x + 3) = 0

Create separate equations

x - 4 = 0

x + 3 = 0

x - 4 = 0 ⇒ x - 4 + 4 = 0 + 4 ⇒ x = 4

x + 3 = 0 ⇒ x + 3 - 3 = 0 - 3 ⇒ x = - 3

x = 4

x = - 3

Based on the scores on the national standardized test, the standard deviation can be found to be 14.77

To find the standard deviation, you first need to find the mean which can be found by adding all the scores on the standardized test and then dividing by the number of scores:

= (15 + 60 + 31 + 52 + 20 + 30 + 27 + 31 + 51 + 28 ) / 10

= 34.50

Then find the variance. This can be found by using a spreadsheet to be 218.05556.

The standard deviation is then found by the formula:

= √ Variance

= √ 218.05556

= 14.77

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Answer:

A.  The probability of event B​ occurring, given that event A has occurred

Step-by-step explanation:

Conditional probability

A probability is conditional if is depends on what has already happened.

The probability that event B happens, given that event A has already happened is "B given A" or P(B | A)

Therefore, P(B | A) means "The probability of event B​ occurring, given that event A has occurred"

Additional information:

P(A | B) means "A given B", i.e. the probability of event A​ occurring, given that event B has occurred

P(A ∩ B) means the probability of event A and event B both happening.

The function given by f(x) = 1/1000×e^(-x/1000) is the expression that represents the function that 10 or fewer of the bulbs survive to time 1200.

Given, the lifetime X of a certain brand of sixty-watt light bulb is exponentially distributed with population mean 1000 hours.

That is, 5.231(e/1000)f(x) x > 0. I

f 30 light bulbs having this lifetime distribution are placed on test.

we have to find the probability that 10 or fewer of these light bulbs survive to time 1200.

as, we have to find the expression for the function f(x) so that 10 or fewer of the given light bulbs survive to time 1200.

f(x) = 1/1000×e^(-x/1000)

So, the function given by f(x) = 1/1000×e^(-x/1000) is the expression that represents the function that 10 or fewer of the bulbs survive to time 1200.

Hence, the function given by f(x) = 1/1000×e^(-x/1000) is the expression that represents the function that 10 or fewer of the bulbs survive to time 1200.

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Answer:

\(\huge \boxed{{m=6}}\)

Step-by-step explanation:

Let's take two points,

(12, -4) and (13, 2).

slope = (difference of y) / (difference of x)

m = (2 - - 4) / (13 - 12)

m = (2 + 4) / 1

m = 6 / 1 = 6

The slope of the line is 6.

Answer:

6

Step-by-step explanation:

The slope is the change in y over the change in x

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

    = (14-8)/(15-14)

   = 6/1

The probability is 0.8427.

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Maths to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory, which is also used in the probability distribution, where you will learn the possibility of outcomes for a random experiment. To find the probability of a single event to occur, first, we should know the total number of possible outcomes.

Here we are total number of insurance agents = 89

And  number of insurance agents do own a handgun = 75

So we asked probability that a insurance agent will own a handgun  

Probability = no.of insurance agents/no.of insurance agents who owns a handgun

Probability = 75/89 = 0.8427

The probability that the agent will own a handgun is .84

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Answer:

-34

Step-by-step explanation:

Solving in steps

Question given:

Find x.

x+45=11

Answer: 34

x+45 = 11

⇒x = 11-45

⇒x = -34

.°. x = -34

LHS :

x+45

→ -34+45

→ 11

→ RHS

LHS = RHS

Hence, x = -34 is the correct answer.

\(\rm\blue{So,done!}\)

Answer:

Proportion of total delivered on time is 70% or 7/10

Step-by-step explanation:

Here, we want to know the proportion of all the packages delivered on time.

Moving away from the percentage, let’s say the total produced package amongst the 3 is 100

So;

Service A has 60% which is 60

Service B has 30% which is 30

Service C has 10% which is 10

Now from here, we move as follows;

on time rate for service A is 80%

This means 80/100 of the 60 is delivered on time

That will be 80/100 * 60 = 48

For service B, 60% is delivered on time; Thus we have ;

60/100 * 30 = 1800/100 = 18

For service C , 40% of 10

40/100 * 10 = 4

So the total on time delivery will be;

18 + 4+ 48 = 70

So the proportion delivered on time will be 70/100 = 7/10 or 70%

Answer:

   1. Gross pay = hourly rate x hours worked

   Gross pay = $14 x 32 = $448

   2. Net pay = gross pay - deductions

   Federal taxes = 10% of gross pay = 0.1 x $448 = $44.80

   State taxes = 4.5% of gross pay = 0.045 x $448 = $20.16

   FICA = 6% of gross pay = 0.06 x $448 = $26.88

   Total deductions = $44.80 + $20.16 + $26.88 = $91.84

   Net pay = $448 - $91.84 = $356.16

   3. Gross pay = hourly rate x hours worked

   Gross pay = $17 x 40 = $680

   4. Regular pay = hourly rate x hours worked

   Regular pay = $20 x 40 = $800

   Overtime pay = (hourly rate x 1.5) x overtime hours

   Overtime pay = ($20 x 1.5) x 5 = $150

   Gross pay = regular pay + overtime pay

   Gross pay = $800 + $150 = $950

   5. Net pay = gross pay - deductions

   Federal taxes = 14% of gross pay = 0.14 x $950 = $133

   State taxes = 4.5% of gross pay = 0.045 x $950 = $42.75

   FICA = 6% of gross pay = 0.06 x $950 = $57

   Total deductions = $133 + $42.75 + $57 = $232.75

   Net pay = $950 - $232.75 = $717.25

Step-by-step explanation:

Step-by-step explanation:

I don't even get the question pls forgive me

Answer:

B. 65

Step-by-step explanation:

I calculated it logically

Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

The slope of the function is m = -3.5, which indicates that the temperature decreases by 3.5 degrees for each 1000 feet increase in elevation.

The temperature at Sea level is 87 °F

The slope of a straight line function is the ratio of the rise to the run of the function.

Parts of the question that appear missing includes; The slope and the temperature at Sea level is required.

A point on the table of the graph is that at 4 feet, the temperature is 73 °F

The rate at which the the temperature changes = -3.5 °F  per 1,000 feet

The slope of the equation is therefore;

y - 73 = -3.5·(x - 4)

y = -3.5·x + 14 + 73 = -3.5·x + 87

y = -3.5·x + 87

The equation of the the line of the temperature above Sea level is an equation of a straight line, which is of the form; y = m·x + c

Where;

m = The slope of the function

By comparison, the slope of the equation of the line the function is; m = -3.5

The temperature at Sea level, which is the y-intercept is found at the point where x = 0, which gives;

y = -3.5 × 0 + 87 = 87

The temperature at Sea level is 87 °F

The slope of line of the graph of the function, m = -3.5

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Answer:

-2x-7y=-4

Step-by-step explanation:

5x+-7x=-2x

-9y+2y=-7y

1+-5=-4

So -2x-7y=-4