I need to find the value of x​

The angle measure that belongs in the green box is given as follows:

70.67º.

We consider a triangle with side lengths and angles related as follows, as is the case for this problem:

Then the lengths and the sines of the angles are related as follows:

sin(A)/a = sin(B)/b = sin(C)/c.

The relation for this problem is given as follows:

sin(x)/12  = sin(76º)/12.34

Applying cross multiplication, the missing angle measure is given as follows:

sin(x) = 12 x sine of 76 degrees/12.34

sin(x) = 0.9436.

x = arcsin(0.9436)

x = 70.67º.

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Answer:

whats the question?

Step-by-step explanation:

Answer:

Twenty-two months (a year and ten months)

Step-by-step explanation:

First, we have to find how much is 5% of 500

500 x 0.05 = 25

Next, you add it to 500

so after the first month, you will have $525

Then, we have to find 5% of 525

525 x 0.05 = 26.25

meaning that after the second month, you'll have $551.25

We keep on repeating these steps until we reach the desired amount.

month three:

$551.25 x 0.05 = 27.5625      

551. 25 +  27.5625 = 578.8125

month four:

578.8125 x 0.05 = 28.940625

578.8125 + 28.940625 = 607.753125

month five:

607.753125 x 0.05 = 30.38765625

607.753125 + 30.38765625 = 638.14

month six:

638.14 x 0.05 = 31.91

638.14 + 31.91 = 670.05

month seven:

670.05 x 0.05 = 33.51

670.05 + 33.51 = 703.55

month eight:

703.55 x 0.05 = 35.18

703.55 + 35.18 = 738.73

month nine:

738.73 x 0.05 = 36.94

738.73 + 36.94 = 775.67

month ten:

775.67 x 0.05 = 38.78

775.67 + 38.78 = 814.45

month eleven:

814.45 x 0.05 = 40.72

814.45 + 40.72 = 855.17

month twelve:

855.17 x 0.05 = 42.76

855.17 + 42.76 = 897.93

month thirteen:

897.93 x 0.05 = 44.90

897.93 + 44.90 = 942.83

month fourteen:

942.83 x 0.05 = 47.14

942.83 + 47.14 = 989.97

month fifteen:

989.97 x 0.05 = 49.50

989.97 + 49.50 = 1039.47

month sixteen:

1039.47 x 0.05 = 51.97

1039.47 + 51.97 = 1091.44

month seventeen:

1091.44 x 0.05 = 54.57

1091.44 + 54.57 = 1146.01

month eighteen:

1146.01 x 0.05 = 57.30

1146.01 + 57.30 = 1203.31

month nineteen:

1203.31 x 0.05 = 60.17

1203.31 + 60.17 = 1263.48

month twenty:

1263.48 x 0.05 = 63.17

1263.48 + 63.17 = 1326.65

month twenty-one:

1326.65 x 0.05 = 66.33

1326.65 + 66.33 = 1392.98

month twenty-two:

1392.98 x 0.05 = 69.65

1392.98 + 69.65 = 1462.63

month twenty-three:

1462.63 x 0.05 = 73.13

1462.63 + 73.13 = 1535.76

So your final answer would be that it would take twenty-two months (a year and ten months) to have enough money to buy the computer.

p.s. sorry for the super long answer, I wanted to make sure you had the complete process. hope this helped!

The unusual outcome from this discrete probability distribution is given as follows:

x = 4.

In a discrete probability distribution, unusual outcomes are those outcomes which have a probability having a value lower than 0.05 = 5%.

From the given table, the probabilities for the events x are given by P(x), as follows:

Hence the lone unusual outcome is given by x = 4, as it is the lone probability that is lower than 0.05.

None of the other events are unusual, as all of them have probabilities that are greater than 0.05 = 5%.

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The given statement about inequality is true.

The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.

The statement is true ''Pick a point on one side of the solid or dashed line and enter its coordinates into the original inequality to determine which side of a linear inequality to colour in for its graph. On that side of the plane, you should shade if the coordinates satisfy the inequality''.

The statement defines how to write an inequality the meaning of inequality is that one part of the inequality will be shaded by some colour indicating that the region is falling under the area of inequality.

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Answer: Graph A

Step-by-step explanation:

Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.

Answer:

x = 14

Step-by-step explanation:

3(x + 1) = 45

3*x + 3*1 = 45    {Distributive property used: a*(b+c) =(a*b) +(a*c)}

3x + 3    = 45

   Subtract 3 from both sides

         3x = 45 - 3

         3x = 42    

Divide both sides by 3

          x  = 42/3

               \(\sf \boxed{\bf x = 14}\)

Answer:

Option (3)

Step-by-step explanation:

Base function in the graph is 'f' and the transformed form of the function 'f' is function 'g'.

Since, the base function 'f' is reflected across the x-axis,

h(x) = -f(x)

Followed by the translation by 3 units downwards,

g(x) = h(x) - 3

      = -f(x) - 3

Therefore, function in the form of g(x) = -f(x) - 3 will be the answer.

Option (3) is the correct option.

The type of phototropism being shown by the plant in the photograph is Positive phototropism .

Positive phototropism is a type of plant growth response in which the plant grows towards a source of light. This is because light is a source of energy that plants use for photosynthesis, and positive phototropism allows plants to position themselves to maximize their exposure to sunlight.

In contrast, negative phototropism is a type of plant growth response in which the plant grows away from a source of light, such as when roots grow away from light to seek out water and nutrients in the soil.

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What is the maximum height of the ball 182.25 feet

How many seconds does it take until the ball hits the ground 6 seconds

The maximum height will occur at the vertex v(h', k)

h' = -b/2a

From the equation h = − 16 t^2 + 84 t + 72

a = -16

b = 84

h' = -84/(2 * -16)

h' = t = 2.625

k = h = − 16 t^2 + 84 t + 72 at t = 2.625

= − 16 * 2.625^2 + 84 * 2.625 + 72

= 182.25 feet

The ball hits the ground when h = 0

0 = − 16 t^2 + 84 t + 72

solving the quadratic equation gives

t = 6 OR -3/4

Use the positive value

t = 6 seconds

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The length of side CB to one decimal place is 89.3.

To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.

In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.

According to the sine rule:

sin(C) / x = sin(A) / AB

We know that angle A is 37° and AB is 120 units. Plugging in the values:

sin(53°) / x = sin(37°) / 120

To find x, we can rearrange the equation:

x = (120 * sin(53°)) / sin(37°)

Calculating this expression gives us:

x ≈ 89.32

Rounding this value to one decimal place, the length of side CB is approximately 89.3.

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Answer:

Step-by-step explanation:

The graph gave us two points: (5,0)(0,1)

Let’s find the slope!

1-0/0-5

slope is 1/-5

y=-1/5x+b

Choose one point and plug it into x and y

1=-1/5(0)+b

1=0+b

b=1

y=-1/5x+1

Answer:

y=-1/5x+1

Step-by-step explanation:

9514 1404 393

Answer:

  47 inches

Step-by-step explanation:

The constant of proportionality is ...

  (16 in)/(12 lb) = (4/3) in/lb

Then for a weight of 35 lb, the stretch will be ...

  (35 lb)(4/3 in/lb) = 140/3 in = 46 2/3 in

The spring will stretch about 47 inches with a 35 lb weight.

"What is the area of the floor in this classroom?" is not a statistical question.

Statistical Reasoning is the first course in statistics for students whose college and career paths require knowledge of the fundamentals of the collection, analysis, and interpretation of data.

All statistical questions contain gathering numerical statistics (normally from a set of human beings) after which studying it to attract conclusions approximately the reviews of human beings of a positive phenomenon because the statistics vary relying on the reaction of every person.

This method isn't required to decide the location of the ground due to the fact this has a completely unique solution and might certainly be located via way of means of measuring the peak and width of the school room after which multiplying each number.

therefore, this doesn't mean accumulating loads of statistics and the statistics does now no longer vary.

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Answer:

(3/2, 1/2)

Step-by-step explanation:

Solve by elimination:

\(x+y=2\\+x-y=1\)

The y's cancel

\(2x=3\)

Divide by 2

\(x=\frac{3}{2}\)

Plug back in

\(\frac{3}{2} +y=2\)

subtract

\(y=2-\frac{3}{2}\)

\(y=\frac{1}{2}\)

So, your answer:

\((\frac{3}{2},\frac{1}{2})\)

Step-by-step explanation:

You will have to know more....like the area or the perimeter or the diagonal measure to determine the base if you only have the height.

The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.

The expression "F = {(x, y) :  φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function  φ, which takes the variables x, y, and p as inputs.

To fully understand the meaning of F, we need to delve into the function  φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.

For instance, let's consider a specific example where vraphi(x, y, p) is defined  φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.

It is important to note that the specific meaning and implications of F heavily rely on the nature of the function  φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.

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The first question:

"A spinner has an equal chance of landing on each of its eight numbered regions. After spinning, what is the probability you land on region three and region six?"

Since the spinner has an equal chance of landing on each of its eight regions, the probability of landing on region three is 1/8, and the probability of landing on region six is also 1/8.

To find the probability of both events occurring (landing on region three and region six), you multiply the probabilities together:

P(landing on region three and region six) = P(landing on region three) * P(landing on region six) = (1/8) * (1/8) = 1/64.

Therefore, the probability of landing on both region three and region six is 1/64.

The events are mutually exclusive because it is not possible for the spinner to land on both region three and region six simultaneously.

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

The second question:

"A bag contains six yellow jerseys numbered 1-6. The bag also contains four purple jerseys numbered 1-4. You randomly pick a jersey. What is the probability it is purple or has a number greater than 5?"

To find the probability of either event occurring (purple or number greater than 5), we need to calculate the probabilities separately and then add them.

The probability of picking a purple jersey is 4/10 since there are four purple jerseys out of a total of ten jerseys.

The probability of picking a jersey with a number greater than 5 is 2/10 since there are two jerseys numbered 6 and above out of a total of ten jerseys.

To find the probability of either event occurring, we add the probabilities together:

P(purple or number greater than 5) = P(purple) + P(number greater than 5) = (4/10) + (2/10) = 6/10 = 3/5.

Therefore, the probability of picking a purple jersey or a jersey with a number greater than 5 is 3/5.

The events are overlapping since it is possible for the jersey to be both purple and have a number greater than 5.

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The third question:

"A box of chocolates contains six milk chocolates and four dark chocolates. Two of the milk chocolates and three of the dark chocolates have peanuts inside. You randomly select and eat a chocolate. What is the probability that it is a milk chocolate or has no peanuts inside?"

To find the probability of either event occurring (milk chocolate or no peanuts inside), we need to calculate the probabilities separately and then add them.

The probability of selecting a milk chocolate is 6/10 since there are six milk chocolates out of a total of ten chocolates.

The probability of selecting a chocolate with no peanuts inside is 7/10 since there are seven chocolates without peanuts out of a total of ten chocolates.

To find the probability of either event occurring, we add the probabilities together:

P(milk chocolate or no peanuts inside) = P(milk chocolate) + P(no peanuts inside) = (6/10) + (7/10) = 13/10.

Therefore, the probability of selecting a milk chocolate or a chocolate with no peanuts inside is 13/10.

The events are mutually exclusive since a chocolate cannot be both a milk chocolate and have no peanuts inside simultaneously.

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

The fourth question:

"You flip a coin and then roll a fair six-sided die. What is the probability the coin lands heads up and the die shows an even number?"

The probability of the coin landing heads up is 1/2 since there are two possible outcomes (heads or tails) and they are equally likely.

The probability of rolling an even number on the die is 3

/6 or 1/2 since there are three even numbers (2, 4, and 6) out of a total of six possible outcomes.

To find the probability of both events occurring (coin lands heads up and die shows an even number), we multiply the probabilities together:

P(coin lands heads up and die shows an even number) = P(coin lands heads up) * P(die shows an even number) = (1/2) * (1/2) = 1/4.

Therefore, the probability of the coin landing heads up and the die showing an even number is 1/4.

The events are independent since the outcome of flipping the coin does not affect the outcome of rolling the die.

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The equation of the Parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

The vertex form of a parabola is given by:y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

We are given that the vertex is (4, -2), so we can substitute these values in the equation to get:y = a(x - 4)^2 - 2

Now, we need to find the value of "a". To do this, we can use the fact that the y-intercept is (0, -66). Since the point (0, -66) lies on the parabola, we can substitute x = 0 and y = -66 in the equation above to get:-66 = a(0 - 4)^2 - 2

Simplifying this, we get:-66 = 16a - 2

Adding 2 to both sides, we get:-64 = 16a

Dividing both sides by 16, we get:a = -4

Substituting this value of "a" in the equation above, we get the equation of the parabola in vertex form:y = -4(x - 4)^2 - 2

Therefore, the equation of the parabola in vertex form that has a vertex of (4, -2) and a y-intercept of (0, -66) is:y = -4(x - 4)^2 - 2

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Answer:

x² - 2x - 180 = 0

Step-by-step explanation:

A square piece of paper has an area of x² square units

w = x

l = x

A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper.

this leaves

l = x

w = x - 2

x(x - 2) = 180

x² - 2x = 180

x² - 2x - 180 = 0

Answer:

x2 − 2x − 120 = 0

Step-by-step explanation:

A square's area is calculated by multiplying each side's length by itself. That is, Area A = s x s, with s denoting the length of each square side. A square with each side measuring 8 feet in length has an area of 8 times 8, or 64 square feet.

Let x  the length side of the original square paper

we know that the area of the original square paper is equal to

\(A1=x*x=x^{2} units{2}\)

the area of the remaining piece of paper is equal to

\($A 2=x^{2}-2 x$\\$A 2=120$ units $^{2}$\)

so

\($x^{2}-2 x=120$$x^{2}-2 x-120=0$\)

therefore, the side length of the original square is x2 − 2x − 120 = 0

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Answer:

Let the length of the rectangle be L. Then we can use the formula for the area of a rectangle:

Area = Length x Width

Substituting the given values, we get:

16 1/3 = L x 4 2/3

To solve for L, we can first convert the mixed numbers to improper fractions:

16 1/3 = 49/3

4 2/3 = 14/3

Substituting these values, we get:

49/3 = L x 14/3

To solve for L, we can multiply both sides by the reciprocal of 14/3:

49/3 ÷ 14/3 = L

Simplifying, we get:

L = 49/3 x 3/14

L = 7/1

L = 7

Therefore, the length of the rectangle is 7 inches.

Step-by-step explanation:

Answer:

percentage = 80÷4000=0.02

Step-by-step explanation:

-t = 9(t-10)

-t = 9t - 90

90 = 9t + t

90 = 10t

90 ÷ 10 = t

9 = t

Answer:

The canister hold water = 14 litres

Step-by-step explanation:

Given - While 2/7 of a canister is full, it has 4 litre water in it.

To find - How many litres of water does the canister hold?

Proof -

Given that,

When is canister is \(\frac{2}{7}\) full , Total water = 4 litre

⇒If the canister is full , Total water = 4×\(\frac{7}{2}\) litre

                                                         = 2 × 7 = 14 litres

⇒The canister hold water = 14 litres

Answer:

An arithmetic sequence with a common difference of −2 is 20,18,16,14,12..

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is same. Here, the common difference is -2, which means that each term in the sequence is obtained by subtracting 2 from the previous term.

To find the arithmetic sequence with a common difference of -2, you can start with an first term and then subtract 2 successively to find the subsequent terms.

Let the initial term is 20. Subtracting 2 from 20, we get 18. Subtracting 2 from 18, we get 16. Continuing this pattern, we subtract 2 from each subsequent term to generate the sequence. The arithmetic sequence with a common difference of -2 starting from 20 is

20,18,16,14,12

In this sequence, each term is obtained by subtracting 2 from the previous term, resulting in a common difference of -2.

Answer:

7 schools have fewer than 50 classrooms.

Answer:

A) (x-4)(x+16)

Step-by-step explanation:

\(x^2+12x-64\\=x^2-4x+16x-64\\=x(x-4)+16(x-4)\\=(x+16)(x-4)\)

\( \huge \boxed{\mathfrak{Question} \downarrow}\)

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

\(4 \sf \left( 3z+9 \right) -(5z+7)\)

Use the distributive property to multiply 4 by 3z+9.

\( \sf12z+36-\left(5z+7\right) \)

Remove the brackets of 5z + 7 & put the subtraction symbol (minus) accordingly.

\( \sf12z+36-5z-7 \)

Combine 12z and -5z to get 7z.

\( \sf7z+36-7 \)

Subtract 7 from 36 to get 29.

\( \boxed{ \boxed{\bf7z+29 }}\)

Hey there!

4 (3z + 9) - (5z + 7)

= 12z + 36 - 5z - 7

= 12z - 5z + 36 - 7

= 7z + 29

Hope it helps ya!

Answer: P, T, Y

This is because the points on the line are straight

Option - A is the correct answer.

We have a geometrical figure given in the question.

We have to determine which set of points are collinear.

Three or more points are said to be collinear if they lie on a single straight line.

According to question -

It can be seen that only one set of points - (P, T, Y) lie on the same straight line. Of the options mentioned, one is - (P, T, Y)

Hence, the correct option is Option - A.

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