How many degrees is the measurement of the missing angle? (Only numeric answer, no words or symbols at all)

The statement that correctly compares -9 and 2 is A. -9 < 2 because 9 is to the left of 2 on a number line.

In arithmetic, a number line is a depiction of a graduated straight line which functions as a graphic representation of real numbers. It is presumed that every number line point and every real number correspond to one another.

Horizontal straight lines termed number lines have integers along them spaced equally apart. All of the numbers in a series can be shown on a number line. This line extends indefinitely at both ends.

In this case, -9 is on the left of a number line since it's negative. In conclusion, the correct option is A

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The airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

How to solve for the airplane's groundspeed

To determine the resultant velocity of the airplane, we need to break down the airplane's velocity and the wind's velocity into their respective components and add them. Let's assume that the angles are measured clockwise from true north.

Let's denote:

Vp = airplane's speed = 250 km/h

θp = airplane's heading = 075 degrees

Vw = wind's speed = 85 km/h

θw = wind's heading = 300 degrees

We can then find the eastward (x) and northward (y) components of the velocities:

For the airplane:

Vpx = Vp * cos(θp) = 250 * cos(75 degrees) = 64.95 km/h

Vpy = Vp * sin(θp) = 250 * sin(75 degrees) = 241.92 km/h

For the wind:

Vwx = Vw * cos(θw) = 85 * cos(300 degrees) = 73.60 km/h

Vwy = Vw * sin(θw) = 85 * sin(300 degrees) = -42.50 km/h

We then sum the x and y components of the two velocities to find the resultant velocity components:

Vrx = Vpx + Vwx = 64.95 km/h + 73.60 km/h = 138.55 km/h

Vry = Vpy + Vwy = 241.92 km/h - 42.50 km/h = 199.42 km/h

The magnitude of the resultant velocity, which represents the groundspeed (Vr), is found using the Pythagorean theorem:

Vr = sqrt((Vrx)^2 + (Vry)^2) = sqrt((138.55)^2 + (199.42)^2) = 242.25 km/h

The bearing (θr) of the resultant velocity (relative to north) can be found using inverse tangent:

θr = atan2(Vry, Vrx) = atan2(199.42, 138.55) = 55.04 degrees

Therefore, the airplane's groundspeed is approximately 242.25 km/h, and the resultant bearing is approximately 55.04° (relative to true north, measured clockwise).

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Answer:

2.13%

Step-by-step explanation:

assume that the distribution is approximately normal

\(\frac{6700-5000}{850} =2\)

the value is 2 s.d. more than the mean

according to normal distribution, approximately 2.13% of the data is 2 s.d. more than the mean.

ANSWER

V = 720 cubic feet

EXPLANATION

The dimensions of the bed of the truck are 15 feet, 8 feet and 6 feet.

From the description of the bed, it is a rectangular prism.

The volume of a rectangular prism is given as:

Therefore, the volume of the bed is:

Answer:

3:25

Step-by-step explanation:

The photo shows how it's solved.

Answer: 3:25

Step-by-step explanation:

Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator

0.12 = 0.12/1

Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100

------------ = 12/100
1 x 100

Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)

12 ÷ 4

---------  = 3/25  

100 ÷ 4

Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:  

3  

25   =  3:25

Expressing the resuIt in οne significant figure, we get: 1x10^22

The number οf digits in a particuIar vaIue οr measurement required tο determine the accuracy and precisiοn οf measurement are knοwn as significant figures (οr significant digits).

The resuIt οf\((5.01\times10^{21})* 3\) is \(1.50\times10^{22}.\)

Tο express the answer in οne significant figure withοut rοunding, we need tο determine the first significant figure in the resuIt.

In scientific nοtatiοn, the first significant figure is the first nοn-zerο digit. In this case, the first nοn-zerο digit is 1.

Therefοre, expressing the resuIt in οne significant figure, we get:

\(1\times10^{22\)

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The GCD of 5! and 7! is 2^3 * 3^1 * 5^1 = 120.

the greatest common divisor of 5! and 7! is 120.

To find the greatest common divisor (GCD) of 5! and 7!, we need to factorize both numbers and identify the common factors.

First, let's calculate the values of 5! and 7!:

5! = 5 * 4 * 3 * 2 * 1 = 120

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5,040

Now, let's factorize both numbers:

Factorizing 120:

120 = 2^3 * 3 * 5

Factorizing 5,040:

5,040 = 2^4 * 3^2 * 5 * 7

To find the GCD, we need to consider the common factors raised to the lowest power. In this case, the common factors are 2, 3, and 5. The lowest power for 2 is 3 (from 120), the lowest power for 3 is 1 (from 120), and the lowest power for 5 is 1 (from both numbers).

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Answer:

35 lbs is the final weight

Step-by-step explanation:

20 +23 = 43 lbs

Then they had to remove 8 lbs

43 - 8 =35

35 lbs is the final weight

Answer:

345.00÷0.72

Step-by-step explanation:

it is the answer of 4791.7

Answer:

Mr. jones

Step-by-step explanation:

6/7 is 85.71% which is greater than 83%.

Answer:

0.1714

Step-by-step explanation:

just substract 9.6 from 66/7 which will give u the other rational number.

then add both the rational numbers to check ur answer.

66/7 + 0.1714 = 9.6

\((7,5)\)

Step-by-step explanation:

Let (12,5) = (x1,y1) and (2,5) = (x2,y2)

By using Midpoint formula,

\( (\frac{x1 + x2}{2} ) \: \: (\frac{y1 +y2 }{2}) \)

\(( \frac{12 + 2}{2}) \: \: \: (\frac{5 + 5}{2} )\)

\(( \frac{14}{2} ) \: \: ( \frac{10}{2} )\)

\( = (7,5)\)

The midpoint between (12,5) and (2,5) is (7, 5)

Therefore,

(12, 5)(2, 5)

x₁ = 12

x₂ = 2

y₁ = 5

y₂ = 5

Therefore,

mid point = (12 + 2 / 2,  5 + 5 / 2)

mid point = (14 / 2, 10 / 2)

mid point = (7, 5)

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Answer:

\(f(x)=-(x+4)(x-5)(x-1)^2\)

Step-by-step explanation:

\(f(x)=a(x+4)(x-5)(x-1)^2\\20=a(0+4)(0-5)(0-1)^2\\20=a(4)(-5)(-1)^2\\20=-20a\\-1=a\\\\f(x)=-(x+4)(x-5)(x-1)^2\)

The expression which represents "one half of x" is option B. x ÷ 2.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

The given variable is x.

One half of x means that the variable is made in to half of the original value.

Half means numerically as 1/2.

So the half of x means the x is multiplied with 1/2.

This is equal to x/2.

This is similar to x ÷ 2.

Hence the correct option is B. x ÷ 2.

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The meaning of the statement, "if the function has no parameters, then the class C is definable" is that if there are no parameters given then the class c can be defined with an empty set but if there are no parameters, then the class cannot be defined.

The meaning of the above statement is that if no parameters are provided for this function, then the given class represented as c can be defined with an empty set that is enclosed in parameters.

Also, if the parameters are given then the class c is not defined.

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If rectangle has an area of 114cm squared and a perimeter of 50 cm, the dimensions of the rectangle are approximately 5 cm by 22.8 cm.

Let's assume the length of the rectangle is "l" and the width is "w". We can start by using the formula for the area of a rectangle, which is A = lw. From the given information, we know that the area is 114cm².

So, we have:

lw = 114

Next, we can use the formula for the perimeter of a rectangle, which is P = 2l + 2w. From the given information, we know that the perimeter is 50cm.

So, we have:

2l + 2w = 50

We now have two equations with two variables, which we can solve using substitution or elimination. Let's use substitution by solving the first equation for l:

l = 114/w

We can then substitute this expression for l in the second equation:

2(114/w) + 2w = 50

Multiplying both sides by w to eliminate the fraction, we get:

228 + 2w² = 50w

Rearranging and simplifying, we get a quadratic equation:

2w² - 50w + 228 = 0

We can solve for w using the quadratic formula:

w = [50 ± √(50² - 4(2)(228))]/(2(2)) ≈ 11.4 or 5

Since the length and width must be positive, we can discard the solution w = 11.4. Therefore, the width of the rectangle is approximately 5 cm. We can then use the equation lw = 114 to solve for the length:

l(5) = 114

l ≈ 22.8

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Answer:

17.65%

Step-by-step explanation:

https://www.calculatorsoup.com/calculators/financial/markup-calculator.php?cost=49.50&margin=15&action=solve

Answer:

Step-by-step explanation:

Your answer

816 dollars

Mark it as Brainlist answer. Follow me.

Answer:

The height would be 16 hope this helps:)!!!

The area of a parallelogram is the length x the height.

You are given the area and the length.

To find the height divide the area by the length.

Height = 240/15 = 16 inches.

The matrix is 3 × 3 square matrix . Its values are:

\(a_{11} = 50 \\ a_{12} = 44 \\a_{13} = -43 \\a_{21} = 31 \\a_{22} = 16 \\a_{23} = 7 \\a_{31} = 37 \\a_{32} = 119 \\a_{33} = 94\)

Given,

Matrix A and Matrix B

Now,

According to matrix multiplication rule first row of one matrix will be multiplied with first column of second matrix if the columns in first matrix is equal to the rows of second matrix.

So,

Apply multiplication rule,

\(a_{11} = 30 + 14 + 6 = 50 \\ a_{12} = 55 + 7 - 18 = 44 \\a_{13} = -20 -35 + 12 = -43 \\a_{21} = 24 - 2 + 9 = 31 \\a_{22} = 44 -1 -27 = 16 \\a_{23} = -16 + 5 + 18 = 7 \\a_{31} = 36 + 16 - 15 = 37 \\a_{32} = 66 + 8 + 45 = 119 \\a_{33} = -24 -40 -30 = -94\)

Thus the values of the matrix can be calculated.

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Answer:

28/4 - 2x^3 = 7- 2x^3

Hope this helps!

Answer:

1

Step-by-step explanation:

This is the answer because:

You can use PEMDAS or GEMS to help you remember the order of operations.

PEMDAS: Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction

GEMS: Grouping (Parenthesis), Exponents, Multiplication and Division (whichever comes first from left to right), Addition and Subtraction (whichever comes first from left to right).

1) We have to use the order of operations in order to solve this.

2) First, we have to divide because it's the first thing there is, 28/4 = 7

3) Next, we have to multiply since we cannot subtract before multiplying because you have to follow the rules of Order of Operations. 2 x 3 = 6

4) Finally, 7 - 6 = 1

Hope this helps!

Answer:

54%

Step-by-step explanation:

Divide 4943/9014 and multiply by 100 to find percentages.

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Answer:

The amount of income tax in dollars and cents is $4,695.75

Step-by-step explanation:

To find the amount of income tax that should be paid, we simply use the percentage said to be for the income tax

Mathematically;

income tax = 9% of 52,175

= 9/100 * 52175

= $4695.75

The income tax to be paid on the income is $52,175

Answer:4695.75

Step-by-step explanation:

Well if u made 52175 a whole then put 9 as a percentage you would cross multiply 52175 with 9 then divided with the whole percentage (100)

The options for the questions are not given. However, it is to be noted that  VDG systems are used to help aircraft dock without any accidents. It is an aircraft system.

VDG is short for Visual Docking Guidance System.

It is an aircraft system that comprises of:

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Answer:

900 eggs

Step-by-step explanation:

75x12=75x10=750

          75x2  =150

total=750+150=900 eggs

Based on the information given the commission rate is 19%.

To determine the commission rate we would have to divide the sales commission by the merchandise using this formula

Commission rate=Sales commission/Merchandise×100

Where:

Sales commission=$418

Merchandise=$2,200

Let plug in the formula

Commission rate=$418/$2,200×100

Commission rate=19%

Inconclusion  the commission rate is 19%.

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Kai is 13 blocks from home. Jack is a greater distance away.

In this statement, 13 would represent the distance Kai is from home.... x would equal how much further away Jack is.

Hope this helps!!! Have an amazing day!!!! :)

Prakhar is 13 years older than his youngest sister. :) <3