What is the length of x in the given triangle shown at right?
30°
Your answer:
o 33
O
6
O 12
o 12V3
Clear answer

The Surface area of the given cuboid is found to be 872 sq, in.

Three-dimensional shapes with length, breadth, and height are called cuboids. Six of the cuboid's sides are referred to as faces.

Surface area of a cuboid is = 2(lw + 2lh + hw0

S.A = 2[(17)*(8) + (8)*(12) +(12)*(17)]

S.A = 2*436

S.A = 872

Thus, the Surface area of the given cuboid is found to be 872 sq, in.

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Answer:

It would be Philadelphia

Mark is correct about-2 that it can be classified as a real number, a rational number, and an integer.

What is a real number?

⇒ Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2, 0, 1), fractions(1/2, 2.5), and irrational numbers such as √3, π(22/7), etc., are all real numbers.

What is a rational number?

⇒ A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q. For example, −3/7 is a rational number,

What is an integer?

⇒ An integer is a whole number (not a fractional number) that can be positive, negative, or zero. Examples of integers are: -5, 1, 5, 8, 97, and 3,043. Examples of numbers that are not integers are -1.43, 1 3/4, and 3.14.

⇒ Every integer is a rational number but every rational number is not an integer.

Calculation:

Josh says that -2 is an integer only which is false because we know that every integer is also a rational number.

And we can also represent -2 in the form of p/q as (-2/1). Hence it is also a rational number and We know that Real numbers comprise both rational numbers as well as irrational numbers. Rational numbers include integers and fractions.

⇒ So Mark is correct about -2 that it is a real number, a rational number, and an integer.

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Answer:

a. 3x = 2x + 10, b. x = 10, c. 30 degrees

Step-by-step explanation:

Angle 4 and angle 6 = 180 degrees, so

3x = 2x + 10

x = 10

Angle 7 is congruent to angle 6, so it is also 2x + 10, x = 10, so it is 30 degrees.

Answer:

see explanation

Step-by-step explanation:

∠ 4 and ∠ 6 are same- side interior angles and sum to 180° , that is

(a)

3x + 2x + 20 = 180 , simplifying

(b)

5x + 20 = 180 ( subtract 20 from both sides )

5x = 160 ( divide both sides by 5 )

x = 32

(c)

∠ 6 and ∠ 7 are vertically opposite angles and are congruent , then

∠ 7 = 2x + 20 = 2(32) + 20 = 64 + 20 = 84°

Answer:

A

Step-by-step explanation:

tank 2 goes down by a constant difference : -40

The probability of  P(Ski) is 7 / 30, P(Snowboard) is 13 / 30,P(Ski & Snowboard) is 2/15 and P(ski or snowboard) is  8/15.

1. Probability of a student skiing (P(Ski)):
  P(Ski) = number of students who ski / total number of students = 28 / 120 = 7 / 30

2. Probability of a student snowboarding (P(Snowboard)):
  P(Snowboard) = number of students who snowboard / total number of students = 52 / 120 = 13 / 30

3. Probability of a student skiing and snowboarding (P(Ski & Snowboard)):
  P(Ski & Snowboard) = number of students who ski and snowboard / total number of students = 16 / 120 = 4 / 30

=2/15

4.Probability(ski or snowboard) = (7/30) + (13/30) - (2/15)

P(ski or snowboard) = 8/15
Therefore, the probabilities are:

P(ski) = 7/30

P(snowboard) = 13/30

P(ski and snowboard) = 2/15

P(ski or snowboard) = 8/15

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Answer:

In order, 10, 14, (7, 14), (10, 20)

Step-by-step explanation:

The slot for C - Number of Beads is 10

This is because the patern is that it is increasing by 3.

The slot for B - Length of Neclace (cm) is 14

This is because the patern is that it is X2 from the Number of Beads.

The slot for B - Ordered Pairs is (7, 14)

This is because its X value is the according Number of Beads and the Y value is the according Length of Necklace.

The slot for C - Ordered Pairs is (10, 20)

(See the explanation above)

Examining the table of the absolute value functions of function f(x) the vertex and the range is determined to be: Vertex (−4, 0), Range: {y | 0 ≤ y < ∞}

The vertex of an absolute graph refers to the point where the two lines that makes up the graph of an absolute value function meet

The range refers to the output functions which are plotted in the y direction. in the table given it is represented by f ( x )

The vertex will contain the point where the decreasing  value changed and started increasing in the y direction that is in the f ( x ) this coincides with point (,-4, 0)

The range will contain the lowest value and the maximum value plotted in the y direction this makes option C the correct choice

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Yes, it is possible to have a c2 strictly convex function on a compact domain that is not also strongly convex.

Let's have a look at the following details of it.

A strictly convex function is a function whose Hessian matrix is positive-definite for all arguments. As a result, if f is differentiable and convex, it is strictly convex if and only if its Hessian matrix is positive-definite for all arguments.

The Definition of Strong Convexity: A function is said to be strongly convex if it meets the following criteria:
Let C be a convex subset of a Hilbert space H, and let f:C→ℝ be a continuously differentiable function. There is a positive constant μ such that, for all x,y∈C: f(y)≥f(x)+⟨∇f(x),y−x⟩+μ/2‖y−x‖2

Thus, it is clear from the above-mentioned definitions that it is possible to have a c2 strictly convex function on a compact domain that is not also strongly convex.

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The dot plot with the least variability is the box plot B

From the question, we have the following parameters that can be used in our computation:

The dot plots A to D

By definition, the dot plot with the least variability is the dot plot with the least spread

From the list of options, we can see that

The dot plot B has the least spread with a range of 2

Hence, the dot plot with the least variability is B

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Answer:

C. 6 packages of pencils and 5 packages of erasers

Step-by-step explanation:

Pencil = packages of 10

Erasers = packages of 12

Find the lowest common multiple of 10 and 12

10 = 20, 30, 40, 50, 60, 70, 80

12 = 24, 36, 48, 60, 72, 84, 96

The lowest common multiple of package of pencil and eraser is 60

Packages of pencil = 60 / 10

= 6 packages

Packages of eraser = 60 / 12

= 5 packages

C. 6 packages of pencils and 5 packages of erasers

The graph of the linear equation, 5x - 9y = -7, is in the attachment below.

The linear equation that models a graph can be written in  slope-intercept equation as y = mx + b. The value of the slope, which is the rise over the run of the line is represented as m, while the value of b, which is where the line intercepts the y-axis is b.

Given the linear equation, 5x - 9y = -7, rewrite in slope-intercept form:

5x - 9y = -7

-9y = -5x - 7

-9y/-9 = -5x/-9 - 7/-9

y = 5/9x + 7/9

This means the rise over the run of the line, m is 5/9, while the y-intercept of the graph, b is 7/9.

The graph is shown below.

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The smallest positive integer of the set of the positive integers divisible by 15 and 35 is 105.

The set of all those positive integers that are divisible by both 15 and 35 is infinite because there is no limit to the numbers which are divisible by 15 as well as 35.

We have to find the least positive integer of this set.

In order to do so we will find the least common multiple of 15 and 35.

The LCM of 15 and 35 is 105 so this LCM will be the smallest positive integer that is divisible by 15 and 35.

The reason why the LCM is the smallest positive integer is because the LCM is the first value that is common in the tables of 15 and 35.

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Answer:

B.

Step-by-step explanation:

The ratio of the lengths of the sides of a 30-60-90 triangle is

1 : sqrt(3) : 2

From the 1 and 2, we see that the hypotenuse must be twice the length of the short leg.

From the 1 and sqrt(3) we see that the long leg is sqrt(3) times the length of the short leg.

Now we check for these two ratios in each choice.

A.

1 is twice 1/2. Check

sqrt(3)/2 is sqrt(3) times 2. Check

B.

10 is twice 5, not twice 5/2. This does not check.

C.

2sqrt(2) is twice sqrt(2). Check

sqrt(6) is 2sqrt(2) time sqrt(3). Check

D.

6 is twice 3. Check

3sqrt(3) is sqrt(3) times 3. Check

Answer: B.

Answer:

B

Step-by-step explanation:

Angle ratio = 30 : 60 : 90

Side ratio = x : x√3 : 2x

\(A) x = \frac{1}{2}\\\\ \ x\sqrt{3 } = \frac{1}{2}*\sqrt{3}=\frac{\sqrt{3}}{2} \\\\2x = 2*\frac{1}{2}=1\)

True

\(C) x = \sqrt{2} \\\\x\sqrt{3}=\sqrt{2} *\sqrt{3} =\sqrt{2*3}=\sqrt{6}\\\\2x=2\sqrt{2} \\\)

True

\(D) \ x = 3\\\\x\sqrt{3}=3\sqrt{3}\\\\2x = 2*3 = 6\)

True

The probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.

If the average number of units rented per week is 2.3 and the distribution is Poisson, then the parameter lambda is also equal to 2.3.

The probability of renting exactly three apartments in a week is given by the Poisson probability function:

\(P(X = 3) = (e^(-lambda) * lambda^x) / x!\)

Substituting the values, we get:

\(P(X = 3) = (e^(-2.3) * 2.3^3) / 3!\)

P(X = 3) = (0.09963 * 12.167) / 6

P(X = 3) = 0.2018

Therefore, the probability of renting exactly three apartments in a week is approximately 0.2018 or 20.18%.

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Answer:

2.5

Step-by-step explanation:

The statement that describes parallelism is option C: a surface of revolution having all points equidistant from a common axis. Parallelism refers to the condition in which lines or surfaces are equidistant and never meet.

In the case of surfaces of revolution, all points on the surface are equidistant from a common axis, which makes them parallel to each other. This means that any two points on the surface of the revolution will have the same distance from the axis. Parallelism is an important concept in geometry, engineering, and architecture as it allows for the construction of structures and machines that require precise and uniform spacing. Equidistance is also a key aspect of parallelism as it ensures that all points on the surface maintain the same distance from the axis, thereby preserving the parallel condition.

In summary, option C, "a surface of revolution having all points equidistant from a common axis," is the statement that describes parallelism.

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Answer:

4,050 IS THE TOTAL AMOUNT

Step-by-step explanation:

900 times 4.5 is 4,050

(if this is correct can i get brainlist)

Using a linear function, we have that:

a) The amount of water in the aquarium at 0 minutes is of 300 liters.

b) As time increases, the amount of water decreases at a rate of 60 liters per minute.

A linear function is modeled by:

y = ax + b

In which:

In this problem, we have that the y-intercept is of 300, hence the amount of water in the aquarium at 0 minutes is of 300 liters.

The amount decreases 60 liters in a minute, hence:

As time increases, the amount of water decreases at a rate of 60 liters per minute.

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Step-by-step explanation:

m=(8-8)/(6-0)=0

so y=8

4 > |x+1| + 2

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

Explanation:

Choice A can be ruled out because the result of any absolute value is never negative.

This means |x+1| cannot be smaller than -3.

In other words:  -3 > |x+1| has no solutions

Similarly, choice B also leads to "no solutions" because we subtract 2 from both sides to get -1 > |x+2|. Therefore, we rule out choice B as well.

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

Choice C can be solved through these steps

2 < |x+3| - 2

2+2 < |x+3|

4 < |x+3|

|x+3| > 4

x+3 > 4 or x+3 < -4

x > 4-3 or x < -4-3

x > 1 or x < -7

x < -1 or x > 1

The graph of this will have open holes at -7 and 1. Then you shade to the left of -7 and to the right of 1. This does not match the graph given to us.

We'll rule out choice C.

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

Choice D can be solved through these steps

4 > |x+1| + 2

4-2 > |x+1|

2 > |x+1|

|x+1| < 2

-2 < x+1 < 2

-2-1 < x < 2-1

-3 < x < 1

The graph will have open holes at -3 and 1, with shading in between. This matches perfectly with the given graph.

This is why choice D is the answer.

There are 360 black counters and 306 white counter in 20:17 ratio.

Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:

B/W = 20/17

We also know that there are 54 more black counters than white counters, which means that:

B = W + 54

We can use substitution to solve for B. Substituting the second equation into the first equation, we get:

(W + 54)/W = 20/17

Cross-multiplying, we get:

17(W + 54) = 20W

Expanding the left side, we get:

17W + 918 = 20W

Subtracting 17W from both sides, we get:

918 = 3W

Dividing both sides by 3, we get:

W = 306

Now we can use the second equation to find B:

B = W + 54 = 306 + 54 = 360

Therefore, there are 360 black counters in the bag.

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Answer: 3ft

Step-by-step explanation:

Step 1; 3x-9=23 5x

Step 2; 3x9=23 5x 3x+ 9=23- 5x

Step 3 ; 3x-9 3x4-9 = 3ft

3ft is the answer.

Answer:

for 5 cups of sparkling water she would use 15 cups of apple juice and for 7 cups of sparkling water she would use 21 cups of apple juice

Step-by-step explanation:

noso3 x 1 entonces es 5x 3 =15

The probability of A and B occurring simultaneously (P(A ∩ B)) is c. 0.00.

In this scenario, A and B are stated to be mutually exclusive events. Mutually exclusive events are events that cannot occur at the same time. This means that if event A happens, event B cannot happen, and vice versa.

Given that P(A) = 0.4 and P(B) = 0.5, we can deduce that the probability of A occurring is 0.4 and the probability of B occurring is 0.5. Since A and B are mutually exclusive, their intersection (A ∩ B) would be an empty set, meaning no outcomes can be shared between the two events. Therefore, the probability of A and B occurring simultaneously, P(A ∩ B), would be 0.

To further clarify, let's consider an example: Suppose event A represents flipping a coin and getting heads, and event B represents flipping the same coin and getting tails. Since getting heads and getting tails are mutually exclusive outcomes, the intersection of events A and B would be empty. Therefore, the probability of getting both heads and tails in the same coin flip is 0.

In this case, since events A and B are mutually exclusive, the probability of their intersection, P(A ∩ B), is 0.

Therefore, the correct answer is: c. 0.00

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There are 720 different ways can a race with 6 runners be completed.

What is a combination?

The process of combining or the condition of combining. a combination of things; an amalgamation of concepts. a grouping of notes: A chord is a grouping of notes. a grouping of people or entities acting together to impede commerce.

Here, we have

The winner can be chosen from all 6 runners, the second person can be chosen from 5 people, the third - from 4, and so on.

So the total number of possible results can be calculated as:

n = 6×5×4×3×2×1= 6!

= 720

Hence, there are 720 different ways can a race with 6 runners be completed.

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Answer:

Step-by-step explanation:

Cost of 1 pen = 20 rupees

Cost of 4 pens = 20 x 4 = 80 rupees

Cost of 1 pencil = 5 rupees

Cost of 5 pencils = 5 x 5 = 25 rupees

Cost of 1 box = 60 rupees

Cost of 2 boxes = 60 x 2 = 120 rupees

therefore, total cost = 80 + 25 + 120  = 225 rupees

Answer:

n≥−4

Step-by-step explanation:

Answer:

n ≥ −4

Step-by-step explanation:

I believe this is what you want?

Step-by-step explanation:

see following explanation above....