Find the value of the missing angles, marked a, b and c. Give a reason for each stage of your working.

[tex] = - 34 - 17 + 22 \\ = - 51 + 22 \\ = - 29[/tex]

THE ANSWER IS OPTION C.

Answer:

8

Step-by-step explanation:

absolute value of z-18 = z + 18

z + 18

-15

______

z + 3

z + 3 - 3 = -5 - 3

z = -8

|z| = |-8|

z = 8

hope this helped ^^

The numbers are 666666 X 4443332221119111. The number solved multiplication is [tex]2.962218518 \times10^{21}[/tex].

Given that,

The numbers are 666666 X 4443332221119111

We have to solve the number multiplication.

Multiplication means the fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The outcome of multiplying two or more numbers is referred to as the product of those numbers, and the factors are the quantities that are multiplied. Multiplying the numbers makes it simpler to add the same number repeatedly.

666666 X 4443332221119111

[tex]2.962218518 \times10^{21}[/tex]

Therefore, the number solved multiplication is [tex]2.962218518 \times10^{21}[/tex].

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Answer:

for x =

[tex]x = 5 - 2y \div 3[/tex]

for y =

[tex]5 - 3x \div 2[/tex]

Answer:

Step-by-step explanation:

The dimensions of a 32-inch TV are 81.28 cm for the diagonal, and approximately 71 cm and 40 cm for width and height in the 16: 9 format.

The quotient when 0.03 is divided by 0.148 after rounding it off is 0.2.

According to the question,

We have the following information:

0.03 is divided by 0.148

Now, we have the quotient as:

0.2027

Now, when rounding off the numbers we know that the digits from where we are rounding off we look at the right next to that digit and when that digit is greater than 5 then the digit should be increased by 1 and when that digit is less than 5 then the digit should be the same.

So, we will round it off by taking the underlined digit to be next to first 2:

So, the digit is 0.

Then, we have:

0.2

Hence, the quotient when 0.03 is divided by 0.148 after rounding it off is 0.2.

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The probability that x is between 60 and 110.

P(60 < x<110) = 0.6436

Step( i ) :-

Given data the random variable 'X' will have a distribution that is approximately normal with mean μ = 83 and standard deviation σ = 27.

Mean of the Population  'μ' = 83

Standard deviation of the Population 'σ' = 27.

Step(ii):-

Given X =60

Step(iii):-

Given X = 110

The Probability that between 60 and 110

P(60 < x<110) = P( -0.851 < z< 1)

                    =  P( Z≤1) - P(Z≤ -0.851)

                   = (0.5 + A(1)) - (0.5- A(-0.851))

                   = (0.5 +0.3413)- (0.5 - 0.3023) ( check normal table yellow mark)

                   = 0.8413 - 0.1977

P(60 < x<110) = 0.6436

The probability that x is between 60 and 110.

P(60 < x<110) = 0.6436

In case of uniform probability distributions, the likelihood of each possible outcome happening or not is the same. This property means that, for any given trial, the probability that an event will be successful does not change. Take the probability of rolling a 5 on a die for instance, no matter how many trials are performed, there is always a 1 in 6 probability for each trial.

Therefore, The probability that x is between 60 and 110.

P(60 < x<110) = 0.6436

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The distance between the given points will be 13 square units.

A triangle may be defined as a closed figure having three sides and three interior angles. A right triangle may be defined as a triangle which has one interior angle as 90°. The right triangle consists of a base, an altitude and a hypotenuse. We have the coordinates of the hypotenuse as (-1, 9) and (4, -3). If we plot these points on graph paper, we get the other point as (-1, -3). Also, the distance between the points (-1. 9) and (4, -3) is given by

Distance = √(-3 - 9)² + (4 + 1)²

Distance = √(-12)² + (5)²

Distance = √144 + 25

Distance = √169

Distance = 13 square units.

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Answer:

n=38/3

Step-by-step explanation:

4*(n-10)=(n-2)

4*(n-10)=n-2

4n-40=n-2

3n-40=-2

3n=38

n=38/3

Answer:127.5

Step-by-step explanation:

Mr. Fillbach will be able to have orange juice before having to buy more juice for 16 mornings.

The gallon is a unit of volume in imperial units and us a customary device. 3 one-of-a-kind variations are in modern use: the imperial gallon.

A clean manner to discern from liters to gallons, for an instance, is that a quart is a bit much less than a liter and 4 liters is a touch extra than 1 gallon. To be specific, 1 liter is 0.264 gallons (a bit greater than a quart), and four liters is 1.06 gallons. Q-I need to shop for a 35 mm. A gallon is equal to approximately 3.78541 liters. consequently, a gallon is larger than 3 liters.

Cups and liters each measure the extent of beverages, so whether or not you need to know how many cups are in a liter or water, oil or a bottle of soda, there will constantly be approximately four.3 cups in a liter! The liter is a metric measurement closest to the quart in imperial measurements.

Given,

Mr.Fillbach drinks 1 cup of orange juice every morning.

He bought a 1-gallon jug of orange juice.

Since there are 16 cups in 1 gallon.

Therefore, he is able to have orange juice before having to buy more juice = for 16 days

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Answer:

55%

Step-by-step explanation:

22 ÷ 40 × 100 = 55

Hope this could help you

Answer:

-16

Step-by-step explanation:

there should be two set of -8 add together which is -16

Answer:

decagon

Step-by-step explanation:

all angles measure 360, divide by 10 sides, answer is 36. lmk if you need a more in depth explanation

The solution of the inequality is x ≤ 3 or x > 18.

An inequality in mathematics is a relation that compares binary number or other mathematical in an unequal way.

Now let us solve the inequality:

6x - 10 ≤ 8

adding 10 on both sides:

or, 6x -10+10 ≤ 8+10

or, 6x ≤ 18

dividing both sides by 6 we get :

or, 6x ÷ 6 ≤ 18 ÷ 6

or, x ≤ 3

For the second inequality:

1/3x+6>12

subtracting 6 from both sides :

or, 1/3x+6 - 6 > 12 - 6

or, 1/3 x > 6

Multiplying both sides by 3

or, x > 18

Therefore the complete solution is x ≤ 3 or x > 18 .

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The change in height of the parasail = 1/100

Height of defined as the measurement that is taken for an object which starts from its base to the topmost point. This is usually measured in meters.

From the question,

The height of the parasail above the water level= 3/100

The height of the parasail above the water level after 5 minutes= 1/50

The change in height of the parasail is determined by finding the difference between the two heights.

That is, = 3/100 - 1/50

= 0.03- 0.02 = 0.01

When changed to fraction is = 1/100

Therefore, the change in height after 5 minutes is = 1/100

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Total number of stripes in 120 American flag = 120 × 13 = 156 stripes

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

1. In simple terms, the unitary method is used to find the value of a single unit from a given multiple.

2 . If we need to find the ratio of one quantity with respect to another quantity, then we need to use the unitary method.

Given: Number of red stripes in American flag : 7 stripes

Number of white stripes in American flag = 6 stripes

Thus total number of stripes in an American flag = 6 + 7 = 13 stripes

By using unitary method we get ;

Number of stripes in 120 American flag = 120 × 13 = 156 stripes

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For 5x-6y=30, slope = m = 5/6 and y-intercept = (0, -5)
For y = 5-6x, slope = m = -6 and y-intercept = (0, 5)
For y = x+1, slope = m = 1 and y-intercept = (0, 1)
For 5x-6y=6, slope = m = 5/6 and y-intercept = (0, -1)
For 5x+6y=6, slope = m = -5/6 and y-intercept = (0, 1)
For 6x + y = 12, slope = m = - and y-intercept = (0, 12)

What is the slope-intercept form of a line?
The line with m as the slope, and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
The slope, m, is a measure of how steep a line is. Sometimes, the gradient of a line is referred to as its slope. A line's y-intercept, ab, denotes the y-coordinate of the location where the line's graph crosses the y-axis.

Given, the first equation is 5x - 6y = 30
Solving the equation for y, we get: y = (5/6)x + (-30/6) = (5/6)x + (-5)
Comparing this to the standard slope intercept form in literature, we have, slope = m = 5/6 and y-intercept = (0, -5)
The second equation is y = 5 - 6x
Solving the equation for y, we get: y = (-6)x + 5
Comparing this to the standard slope intercept form in literature, we have, slope = m = -6 and y-intercept = (0, 5)
The third equation is y = x + 1
Solving the equation for y, we get: y = x + 1
Comparing this to the standard slope intercept form in literature, we have, slope = m = 1 and y-intercept = (0, 1)
The fourth equation is 5x - 6y = 6
Solving the equation for y, we get: y = (5/6)x + (-6/6) = (5/6)x + (-1)
Comparing this to the standard slope intercept form in literature, we have, slope = m = 5/6 and y-intercept = (0, -1)
The fifth equation is 5x + 6y = 6
Solving the equation for y, we get: y = (-5/6) + (6/6) = (-5/6)x + (1)
Comparing this to the standard slope intercept form in literature, we have, slope = m = -5/6 and y-intercept = (0, 1)
The sixth equation is 6x + y = 12
Solving the equation for y, we get: y = (-6)x + 12 = (-6)x + 12
Comparing this to the standard slope intercept form in literature, we have, slope = m = - and y-intercept = (0, 12)

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The scientific notation of the given numbers is 12 x [tex]10^{10}[/tex] and  24 x [tex]10^{5}[/tex].

Using scientific notation, one can express extremely big or extremely small values. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. For instance, the scientific notation for 650,000,000 is 6.5 x [tex]10^{8}[/tex]

The given numbers are

(3.2 x [tex]10^{10}[/tex] ) (3.75 x [tex]10^{0}[/tex])

and (4 x [tex]10^{0}[/tex]) (6 x [tex]10^{5}[/tex])

So, Considering these numbers one by one,

(3.2 x [tex]10^{10}[/tex] ) (3.75 x [tex]10^{0}[/tex])

We multiply 3.2 and 3.75 and add the exponents of 10.

(3.2 x [tex]10^{10}[/tex] ) (3.75 x [tex]10^{0}[/tex]) = 12 x [tex]10^{10}[/tex]

Now the second number that we have is (4 x [tex]10^{0}[/tex]) (6 x [tex]10^{5}[/tex])

We multiply 4 and 6, and we add the exponents of 10.

(4 x [tex]10^{0}[/tex]) (6 x [tex]10^{5}[/tex]) = 24 x [tex]10^{5}[/tex]

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