Help I suck at proofs/ theorems..!!
Z is the midpoint of XY and WY ≅ WX Complete the proof that △WXZ≅△WYZ.

Answer:

i have no idea\

Step-by-step explanation:

Answer:

x²-6x+6=0

Step-by-step explanation:

(x-3)² = 3

(x-3)(x-3)=3

x²-6x+9=3

x²-6x+6=0

The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.

To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:

s = v0t - 16t^2

Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.

Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:

48 = 96t - 16t^2

Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.

Rearranging the equation:

16t^2 - 96t + 48 = 0

Dividing the equation by 16 to simplify:

t^2 - 6*t + 3 = 0

We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values:

t = (6 ± √((-6)^2 - 413)) / (2*1)

t = (6 ± √(36 - 12)) / 2

t = (6 ± √24) / 2

Simplifying the square root:

t = (6 ± 2√6) / 2

t = 3 ± √6

Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.

In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.

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Note the complete question is

The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?  

Solve (t-3)^2=6

The arrow is at a height of 48 ft after approx. ___ s and after ___ s.

a. The missing probability is 0.112

b. The expected number of classes passed is 3.38.

c. Is it unusual for an average student to pass at most 2 classes in a given semester is 0.211

a. Since the whole of all probabilities must rise to 1, we are able to discover the lost likelihood by subtracting the whole of the given probabilities from 1:

1 - 0.001 - 0.098 - 0.175 - 0.419 - 0.195 = 0.112

Subsequently, P(X=2) = 0.112.

b. The anticipated number of classes passed can be found by increasing each possible value of X by its particular likelihood, and after that summing the items:

E(X) = 0(0.001) + 1(0.098) + 2(0.112) + 3(0.175) + 4(0.419) + 5(0.195)

= 3.38

Hence, the anticipated number of classes passed is 3.38.

c. To decide in case it is bizarre for an average student to pass at most 2 classes in a given semester, we have to calculate the likelihood of passing at most 2 classes:

P(X ≤ 2) = P(X=0) + P(X=1) + P(X=2)

= 0.001 + 0.098 + 0.112

= 0.211

Since this likelihood is more noteworthy than 0.05 (i.e., the commonly utilized threshold for determining whether an occasion is unordinary), it isn't abnormal for a normal understudy to pass at most 2 classes in a given semester. 

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The surface area of the wooden structure is approximately 1012 cm².

To calculate the surface area of the wooden structure, we need to find the surface area of the cone and the surface area of the hemispherical base, and then add them together.

Surface Area of the Cone:

The surface area of a cone is given by the formula:

A_{cone = \(\pi \times r_{cone} \times (r_{cone} + s_{cone})\), \(r_{cone\) is the radius of the base of the cone and \(s_{cone\) is the slant height of the cone.

The vertical height of the cone is 24 cm, and the base radius is 7 cm, we can calculate the slant height using the Pythagorean theorem:

\(s_{cone\) = \(\sqrt{(r_{cone}^2 + h_{cone}^2).\)

Using the given measurements:

\(s_{cone\) = √(7² + 24²) cm

\(s_{cone\) ≈ √(49 + 576) cm

\(s_{cone\) ≈ √625 cm

\(s_{cone\) ≈ 25 cm

Now, we can calculate the surface area of the cone:

\(A_{cone\) = π × 7 cm × (7 cm + 25 cm)

\(A_{cone\) = (22/7) × 7 cm × 32 cm

\(A_{cone\) = 704 cm²

Surface Area of the Hemispherical Base:

The surface area of a hemisphere is given by the formula:

\(A_{hemisphere\) = \(2 \times \pi \times r_{base}^2\), \(r_{base\) is the radius of the base of the hemisphere.

Given that the base radius is 7 cm, we can calculate the surface area of the hemispherical base:

\(A_{hemisphere\) = 2 × (22/7) × (7 cm)²

\(A_{hemisphere\) = (22/7) × 2 × 49 cm²

\(A_{hemisphere\) = 308 cm²

Total Surface Area:

To calculate the total surface area, we add the surface area of the cone and the surface area of the hemispherical base:

Total Surface Area = \(A_{cone} + A_{hemisphere}\)

Total Surface Area = 704 cm² + 308 cm²

Total Surface Area = 1012 cm²

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The solution of the expression is x = -39.53.

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

Given:

An expression,

12 + x = 0.70(20 + x).

Simplifying,

12 + x = 0.14 + 0.7x

x - 0.7x = 0.14 - 12

x = -39.53

And we have x = 6.67.

That is an incorrect assumption.

Therefore, x = -39.53.

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Answer:

294pi

Step-by-step explanation:

1/3*pi*r^2*h=V

1/3*pi*49*18=V

V=294pi

Answer

HOPFULLY THE EXPLANATION HELPS IF NOT JUST LOOK UP square root of 40???

6.324555320

Step-by-step explanation:

Here we will define, analyze, simplify, and calculate the square root of 40. We start off with the definition and then answer some common questions about the square root of 40. Then, we will show you different ways of calculating the square root of 40 with and without a computer or calculator. We have a lot of information to share, so let's get started!

Square root of 40 definition

The square root of 40 in mathematical form is written with the radical sign like this √40. We call this the square root of 40 in radical form. The square root of 40 is a quantity (q) that when multiplied by itself will equal 40.

√40 = q × q = q2

Is 40 a perfect square?

40 is a perfect square if the square root of 40 equals a whole number. As we have calculated further down on this page, the square root of 40 is not a whole number.

40 is not a perfect square.

Is the square root of 40 rational or irrational?

The square root of 40 is a rational number if 40 is a perfect square. It is an irrational number if it is not a perfect square. Since 40 is not a perfect square, it is an irrational number. This means that the answer to "the square root of 40?" will have an infinite number of decimals. The decimals will not terminate and you cannot make it into an exact fraction.

√40 is an irrational number

Can the square root of 40 be simplified?

You can simplify 40 if you can make 40 inside the radical smaller. We call this process "to simplify a surd". The square root of 40 can be simplified.

√40 = 2√10

How to calculate the square root of 40 with a calculator

The easiest and most boring way to calculate the square root of 40 is to use your calculator! Simply type in 40 followed by √x to get the answer. We did that with our calculator and got the following answer with 9 decimal numbers:

√40 ≈ 6.324555320

How to calculate the square root of 40 with a computer

If you are using a computer that has Excel or Numbers, then you can enter SQRT(40) in a cell to get the square root of 40. Below is the result we got with 13 decimals. We call this the square root of 40 in decimal form.

SQRT(40) ≈ 6.3245553203368

What is the square root of 40 rounded?

The square root of 40 rounded to the nearest tenth, means that you want one digit after the decimal point. The square root of 40 rounded to the nearest hundredth, means that you want two digits after the decimal point. The square root of 40 rounded to the nearest thousandth, means that you want three digits after the decimal point.

10th: √40 ≈ 6.3

100th: √40 ≈ 6.32

1000th: √40 ≈ 6.325

What is the square root of 40 as a fraction?

Like we said above, since the square root of 40 is an irrational number, we cannot make it into an exact fraction. However, we can make it into an approximate fraction using the square root of 40 rounded to the nearest hundredth.

√40

≈ 6.32/1

≈ 632/100

≈ 6 8/25

What is the square root of 40 written with an exponent?

All square roots can be converted to a number (base) with a fractional exponent. The square root of 40 is no exception. Here is the rule and the answer to "the square root of 40 converted to a base with an exponent?":

√b = b½

√40 = 40½

How to find the square root of 40 by long division method

Here we will show you how to calculate the square root of 40 using the long division method with one decimal place accuracy. This is the lost art of how they calculated the square root of 40 by hand before modern technology was invented.

Step 1)

Set up 40 in pairs of two digits from right to left and attach one set of 00 because we want one decimal:

40 00

Step 2)

Starting with the first set: the largest perfect square less than or equal to 40 is 36, and the square root of 36 is 6. Therefore, put 6 on top and 36 at the bottom like this:

6  

40 00

36    

Step 3)

Calculate 40 minus 36 and put the difference below. Then move down the next set of numbers.

6  

40 00

36    

4 00  

Step 4)

Double the number in green on top: 6 × 2 = 12. Then, use 12 and the bottom number to make this problem:

12? × ? ≤ 400

The question marks are "blank" and the same "blank". With trial and error, we found the largest number "blank" can be is 3. Now, enter 3 on top:

6 3  

40 00

36    

4 00  

That's it! The answer is on top. The square root of 40 with one digit decimal accuracy is 6.3.

Answer:

20

Step-by-step explanation:

i think

Answer: -2, -6/11

Step-by-step explanation:

\(11x^2 +28x=-12\\\\11x^2 +28x+12=0\\\\(11x+6)(x+2)=0\\\\x=-2, -6/11\)

Answer:

At time, 10 seconds, the mass remaining is 24 grams

At time, 20 seconds, the mass remaining is 12 grams

At time, 30 seconds, the mass remaining is 6 grams

At time, 40 seconds, the mass remaining is 3 grams

At time, 50 seconds, the mass remaining is 1.5 grams

Step-by-step explanation:

Given;

initial mass of the radioactive element  = 48 grams

half life, t = 10 seconds

time of decay (s)                          remaining mass of the  radioactive element

0 ------------------------------------------------- 48 grams

10------------------------------------------------- 24 grams

20 ------------------------------------------------- 12 grams

30 -------------------------------------------------- 6 grams

40 --------------------------------------------------- 3 grams

50 ----------------------------------------------------- 1.5 grams

60------------------------------------------------------0.75 grams

Thus;

At time, 10 seconds, the mass remaining is 24 grams

At time, 20 seconds, the mass remaining is 12 grams

At time, 30 seconds, the mass remaining is 6 grams

At time, 40 seconds, the mass remaining is 3 grams

At time, 50 seconds, the mass remaining is 1.5 grams

Answer:

\(EF = 18\)

Step-by-step explanation:

Given

\(\triangle DE\ F\) similar to \(\triangle JHI\)

Required

Find \(EF\)

\(\triangle DE\ F\) similar to \(\triangle JHI\) implies that:

The corresponding sides are:

\(DE \to JH\)

\(DF \to JI\)

\(EF \to HI\)

\(FG \to IK\)

First, solve for x using the following corresponding ratios

\(EF : HI = FG : IK\)

This gives:

\(x + 8 : 3x - 2 = 9 : 14\)

Express as fraction

\(\frac{x + 8 }{ 3x - 2} = \frac{9 }{ 14}\)

Cross multiply

\(14(x + 8) = 9(3x - 2)\)

Open brackets

\(14x + 112 = 27x - 18\)

Collect like terms

\(27x - 14x = 112 + 18\)

\(13x = 130\)

Solve for x

\(x = 10\)

In the diagram, we have:

\(EF = x +8\)

\(EF = 10 +8\)

\(EF = 18\)

Answer:

Step-by-step explanation:

You want to identify the given shapes as a regular or irregular polygon, or neither.

A regular polygon is one that has all sides congruent, and all interior angles congruent. Polygon E is marked as having congruent sides and congruent angles.

Polygon E is a regular polygon.

A polygon is a closed figure formed by line segments connected end-to-end. A simple polygon is one that has no intersecting line segments. A convex polygon is one that has all interior angles measuring 180° or less.

Any simple polygon that is not a regular polygon is an irregular polygon.

Polygons A, B, D are irregular polygons.

A circle is not a polygon. Figure C is neither a regular polygon nor an irregular polygon.

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Answer:

below

Step-by-step explanation:

The INdependent variable is 'r'

  'C'  DEPENDS on the value of 'r'...it is the dependent variable

Answer:

5/2 x -3

Step-by-step explanation:

Answer:

First option

Step-by-step explanation:

Hi there!

The "constant additive rate of change" means a constant slope.

The slope is \(\displaystyle\frac{change \hspace{4} in \hspace{4} y}{change \hspace{4} in \hspace{4} x}\).

First of all, if the slope is constant, then we know immediately that it must be a linear function, a line. The change in y is forever the same according to the change in x. Knowing this, the second option is for-sure wrong (it's not a straight line).

Now, let's look at the first option. It is a linear function, which means it has a constant slope. However, we're given that the slope is \(-\displaystyle \frac{1}{4}\). This means that for a line, whenever it travels 4 units to the right, it travels 1 unit down (it travels down whenever the slope is negative and up whenever the slope is positive).

This is the exact case for the first option. Look at the point (-2,2) on the line. When we move 4 units to the right of that point, The line would have moved 1 unit down. We would reach the point (2,1).

Therefore, the correct answer would be the first option.

I hope this helps!

Answer:

Triangles in Geometry

Step-by-step explanation:

Answer:

The formula for density (ρ) is:

Density (ρ) = Mass (m) / Volume (V)

Step-by-step explanation:

Where:

For the function  f(x) = 2x + 3 the third iterate x₃  is 37

To find the third iterate, x3, of the function f(x) = 2x + 3, given an initial value of x₀ = 2,

we can apply the function repeatedly.

Starting with x₀ = 2:

x₁ = f(x₀)

= 2(2) + 3

= 7

x₂ = f(x₁)

= 2(7) + 3 = 17

x₃ = f(x₂)

= 2(17) + 3

= 37

Therefore, the third iterate x₃  is 37.

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\( \frac{1}{3} \div \frac{1}{4} \)

\( \frac{1}{3} \times \frac{4}{1} \)

\( \frac{1 \times 4}{3 \times 1} \)

\( \frac{4}{3} = > 1 \frac{1}{3} \)

\({{\red{\colorbox{s}{SEMOGA MEMBANTU..}}}}\)

\({ {{\colorbox{yell}{AnswerBy: MyBestFriend25}}}}\)

\( \tt \frac{1}{3} \div \frac{1}{4} = ... \\ \longmapsto\frac{1}{3} \times \frac{4}{1} = \frac{1 \times 4}{3 \times 1} = \frac{4}{3} = \bf1 \frac{1}{3} \)

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The two equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p include the following:

B. 2.3p – 10.1 = 6.49p – 4

C. 230p – 1010 = 650p – 400 – p

From the information provided, we have the following equation:

2.3p – 10.1 = 6.5p – 4 – 0.01p

Next, we would simplify the given equation by collecting like terms as follows;

2.3p - 10.1 = 6.5p - 0.01p - 4 = 6.49p - 4

2.3p - 10.1 = 6.49p - 4

In Mathematics, the multiplication property of equality states that both sides of an equation will remain the same and equal, when both sides of the equations are multiplied by the same number.

By multiplying both sides of the given equation by 100, we have;

100 × (2.3p - 10.1) = 100 × (6.5p - 4 - 0.01p)

230p - 1010 = 650p - 400 - p

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Answer:

She should win approximately 30 times.

Step-by-step explanation:

Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.

The unit of the rate of change is (b) dollars per month

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

The table of values

Where we have

y = total amount in dollars

x = number of months

The rate of change is calculated as

Rate  = y/x

substitute the known values in the above equation, so, we have the following representation

Rate = total amount in dollars/number of months

So, we have

Unit = dollars per month

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The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,

⇒ b + c = 68

⇒ 0.08b + 0.15c = 6

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Total amount paid = $6.00

Total copies = 68

Cost of black-and-white copy = $0.08

Cost of color copy = $0.15

Now, Let number of black-and-white copies = b

And, Number of color copies = c

Hence, The equation become;

b + c = 68

0.08b + 0.15c = 6

Therefore, The system of equations for find b, the number of black-and-white copies, and c, the number of color copies that the customer paid for at the print shop is,

⇒ b + c = 68

⇒ 0.08b + 0.15c = $6

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Answer:

To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.

The thirteenth term of this arithmetic progression a + b, 2a, 3a − b, ..... is a₁₃ = 13a - 11b.

Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:

aₙ =  a₁ + (n - 1)d

Where:

Next, we would determine the common difference as follows.

Common difference, d = a₂ - a₁

Common difference, d = 2a - (a + b) = 2a - a - b

Common difference, d = a - b

Substituting the given parameters into the formula, the 13th term of this arithmetic sequence is given by;

a₁₃ = (a + b) + (13 - 1)(a - b)

a₁₃ = (a + b) + (12)(a - b)

a₁₃ = a + b + 12a - 12b

a₁₃ = 13a - 11b.

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The x-intercepts are (4,0)(5,0) of the following graph.

In the context of a graph, an x-intercept is a point where a curve or line crosses the x-axis. It is the point at which the value of y is zero. In other words, the x-intercept is the value of x when the function or equation crosses the x-axis.

To find the x-intercepts of a function, you can set y equal to zero and solve for x. The resulting values of x will be the x-intercepts.

In the context of a graph, a y-intercept is a point where a curve or line crosses the y-axis. It is the point at which the value of x is zero. In other words, the y-intercept is the value of y when the function or equation crosses the y-axis.

To find the y-intercept of a function, you can set x equal to zero and solve for y. The resulting value of y will be the y-intercept.

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The employee must sell $32,000 worth of merchandise in the month to make a total of $4,000.

Let's first find out how much commission an employee would earn if they sold $x in a month,

where x is the amount of sales over $7,000.

The commission earned would be 8% of x, or 0.08x.

To earn a total of $4,000 for the month, the employee would need to earn a base salary of $2,000 plus an additional $2,000 in commission.

So we can set up the following equation:

0.08x + 2000 = 4000

Subtracting 2000 from both sides, we get:

0.08x = 2000

Dividing both sides by 0.08, we get:

x = 25000

Therefore, the employee must sell $25,000 in a month to make a total of $4,000 for the month. Note that this is the amount of sales over $7,000, so the total sales for the month would be $25,000 + $7,000 = $32,000.

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