Trigonometry I need number 2 please

Partial initialization allows us to initialize only some elements of an array, leaving the rest with default values.

The statement you provided, `int num]= (88, 92, 75, 95, 82)`, contains syntax errors and is not a valid example of partial initialization of an array in C or C++.

To understand partial initialization of an array, let's consider a correct example. Suppose we have an integer array named `num` with a size of 10. We want to initialize the first five elements of the array with specific values, and the remaining elements should be set to 0. Here's how partial initialization would look like:

int num[10] = {88, 92, 75, 95, 82};

In this example, we declare an integer array `num` with a size of 10. We provide an initializer list inside curly braces `{}` to initialize the elements of the array. The first five elements are explicitly initialized with values `88`, `92`, `75`, `95`, and `82`. The remaining elements are automatically set to 0 because we haven't provided explicit values for them.

Partial initialization allows us to initialize only some elements of an array, leaving the rest with default values. It's particularly useful when we want to set certain values while keeping others as defaults, such as zero in the case of integers.

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Answer:

18/7

Step-by-step explanation:

Convert the mixed number 247 2 4 7 into an improper fraction first by multiplying the denominator (7) by the whole number part (2) and add the numerator (4) to get the new numerator. Place the new numerator (18) over the old denominator (7) .

The work done in stretching the spring from its natural length to 0.9 feet beyond its natural length is 3 foot-pounds.

This can be calculated using the equation W = F * d, where W is the work done, F is the force applied, and d is the distance the spring is stretched. In this case, F is 6 pounds and d is 0.5 feet (0.9 feet - 0.4 feet). Thus, W = 6 * 0.5 = 3 foot-pounds.

Force is a concept in physics that describes the influence that can change the motion of an object. Work done is the amount of energy transferred to or from an object when a force acts on it and causes it to move through a distance.

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Correct question:

A force of 6 pounds is required to hold a spring stretched 0.4 feet beyond its natural length.

How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.9 feet beyond its natural length?

Answer:

x=6,y=0

Step-by-step explanation:

2x+y=12

3x-y=18

5x=30

x=6

6(3)-y=18

18-y=18

y=0

Answer:

its the .43 answer

Step-by-step explanation:

the equation would be 3 championships over 7 years, through a unit rate calcualtor you get 0.428571 championsh per year(ignore the championsh, ran out of spaces) and that rounds up to .43

Answer:

d, 0.43 championships per year

Step-by-step explanation:

First, lets find out how many championships per year. You can get this by doing 3÷7. The answer will be 0.42857142857. Of course, for this problem, we should round to 0.43. This eliminates option "b" and "c". Now, the two true options are "a" and "d", but we can eliminate "a" because the question asks for a unit rate. That means per year, not per 2 years. So, the answer is "d", or 0.43 championships per year.

Answer:

the new ratio is 1348 likes per min.

Step-by-step explanation:

given:

647,224 likes/8 hours

find:

calculate a unit rate for likes per minute

= 647,224 likes x    1 hour

        8 hours           60 min

= 1348.33

therefore,

the new ratio is 1348 likes per min.

The graph is a linear function on a coordinate plane that passes through (-5, 4), (0, 2), and (5, 0) and the solution is below the graph. The correct option is D

From the question, we are to determine the graph that best models the given inequality

The given inequality is y ≤ -2/5x + 2

First, we will graph the line of y = -2/5x + 2 by determining the x-intercepts and y-intercepts

Determining the x-intercepts

y = -2/5x + 2

Set y = 0

0 = -2/5x + 2

2/5x = 2

2x = 10

x = 10/2

x = 5

(5, 0)

The line passes through the points (5, 0)

Determining the y-intercepts

y = -2/5x + 2

Set x = 0

y = -2/5(0) + 2

y = 2

(0, 2)

The line passes through the point (0, 2)

Using the x-intercepts and y-intercepts, the graph of the line is shown below

Since the inequality sign is less than or equal to, ≤, the line is a solid line and the solution is below the graph

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Answer:

50/77

Step-by-step explanation:

(1÷2 3/4)+(1÷3 1/2)

2 3/4 is same as 11/44

1/2 is same as 7/2

so to divide fraction you have to flip the second number and multiply

so 1 times 4/11=4/11

and 1 times 2/7=2/7

4/11 +2/7=28/77+22/77=50/77

Answer:

17cm

Step-by-step explanation:

volume= 1/3πr^2h

640.56=1/3(3.14)(6)^2(h)

h=3(640.56)/3.14(36)

h=17

Tthe width of the strip that needs to be taken along the two sides to widen the roads while maintaining the desired remaining lot area of 844 square yards.

To determine the width of the strip that needs to be taken along the two sides of a corner lot to widen the roads while maintaining a remaining lot area of 844 square yards, we can solve an equation based on the given dimensions of the lot.

Let's assume the width of the strip is "w" yards. After taking the strip along the two sides, the dimensions of the remaining lot will be reduced by 2w yards. The length of the remaining lot will be (40 - 2w) yards and the width will be (25 - 2w) yards.

To find the area of the remaining lot, we multiply the length and width:

Area = (40 - 2w)(25 - 2w) = 844

Expanding and rearranging the equation, we get:

100w^2 - 130w + 384 = 0

We can solve this quadratic equation to find the value of "w" using factoring, completing the square, or the quadratic formula. After finding the value of "w", we can determine the width of the strip that needs to be taken along the two sides to widen the roads while maintaining the desired remaining lot area of 844 square yards.

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To answer this question, we will use algebraic expressions. The given condition is that three consecutive even integers have been thought of by Ramses and that 3 times the sum of the first two is 58 less than 14 times the opposite of the third.

To obtain the solution, let's take the smallest integer to be x. Therefore, the next two consecutive even integers are x + 2 and x + 4 respectively. Hence, the algebraic expression for the given statement is,3(x + x + 2) = 14(-x - 4) - 583(2x + 2) = -14x - 56 - 58 Multiplying3 times the sum of the first two consecutive even integers gives us 6x + 6.14 times the opposite of the third is -14x - 56, and 58 less than this is -14x - 56 - 58 = -14x - 114.

Now we have:6x + 6 = -14x - 1146x + 14x = -114 - 6 20x = -120 x = -6The three consecutive even integers are -6, -4, and -2.The sum of the first two consecutive even integers is -6 + (-4) = -10.3 times the sum of the first two consecutive even integers is 3(-10) = -30.14 times the opposite of the third integer is 14(2) = 28.58 less than 28 is -30. Thus, the solution is correct.

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Given:

The equation is:

\(x^2-12x+32=4\)

To find:

The result of completing the square for the given equation.

Solution:

We have,

\(x^2-12x+32=4\)

It can be written as:

\(x^2-12x=4-32\)

\(x^2-12x=-28\)

Now, we need to add half of square of coefficient of x, to complete the square.

Adding \((\dfrac{-12}{2})^2\) on both sides, we get

\(x^2-12x+(\dfrac{-12}{2})^2=-28+(\dfrac{-12}{2})^2\)

\(x^2-2(x)(6)+(-6)^2=-28+(-6)^2\)

\(x^2-2(x)(6)+(6)^2=-28+36\)                 \([\because (-a)^2=(a)^2]\)

Using the formula \((a-b)^2=a^2-2ab+b^2\), we get

\((x-6)^2=8\)

Therefore, the required equation after completing the square is \((x-6)^2=8\).

the probability is approximately 0.963 (rounded to three decimal places).

What is Probability?

Probability is a branch of mathematics concerned with numerical descriptions of how likely an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates a certainty

To calculate the probability that the outcome of at least two of the three dice will be less than or equal to 4, we can consider the complementary event and subtract it from 1.

The complementary event is that the outcome of all three dice is greater than 4. Since each die has 6 possible outcomes (numbers 1 to 6), the probability of a single die showing a number greater than 4 is (6 - 4)/6 = 2/6 = 1/3.

Since the rolls of the three dice are independent events, we can multiply the probabilities together:

P(all dice > 4) = (1/3) * (1/3) * (1/3) = 1/27

Therefore, the probability of at least two of the dice showing a number less than or equal to 4 is 1 - 1/27 = 26/27.

As a decimal, the probability is approximately 0.963 (rounded to three decimal places).

The reasoning behind this calculation is that we calculate the probability of the complementary event (all dice greater than 4) and subtract it from 1 to obtain the desired probability.

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Answer:

Jacob's error is due to incorrect reasoning, not incorrect means. Therefore, the correct option is c) Both of the means are correct, but the reasoning is incorrect

Step-by-step explanation:

The mean height of Team A is 71 inches and that of Team B is 72 inches, but the mean absolute deviation cannot be determined by simply comparing means. MAD is calculated by finding the average of the absolute differences between each data point and the mean. It is a measure of variability, not the central tendency. Therefore, having a higher mean does not necessarily mean a greater MAD, and vice versa.

MAD = Mean Absolute Deviation

Consider using 3D printing technology to create the spherical fountain. This would allow for precise and customizable designs, and could potentially be more cost-effective than traditional manufacturing methods for complex shapes.

Use a mathematical formula to design the fountain. Here are the steps to design a spherical fountain:

Determine the desired size of the fountain. This will be the diameter of the sphere. Let's say your client wants a fountain with a diameter of 6 feet.

Calculate the radius of the sphere by dividing the diameter by 2. In this case, the radius is 3 feet.

Use the formula for the surface area of a sphere to determine the surface area of the fountain. The formula is: SA = 4π\(r^2\), where r is the radius of the sphere and π is a mathematical constant (approximately 3.14). In this case, the surface area is:

SA = 4π\((3)^2\)

SA = 4π(9)

SA = 36π

SA ≈ 113.1 square feet

Use the desired water flow rate to determine the volume of water that will flow through the fountain per minute. Let's say your client wants a flow rate of 50 gallons per minute.

Use the formula for the volume of a sphere to determine the volume of the fountain. The formula is: V = (4/3)π\(r^3\). In this case, the volume is:

Calculate the amount of time it will take for the fountain to cycle through all of its water. This is known as the turnover time, and it is important to maintain water quality. The turnover time is calculated by dividing the volume of water in the fountain by the flow rate. In this case, the turnover time is:

Use these calculations to design the fountain, taking into account any necessary adjustments for the manufacturer's limitations.

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Full Question: Your client wants you to design a spherical fountain for a new garden bed. It is hard to find a manufacturer that can create perfect curved surfaces. You will need to modify the sphere to a series of cylindrical slabs with gradually decreasing radii.

The atmospheric pressure of 101.325 kPa, the dew point temperature is approximately 10.4°C, the humidity ratio is approximately 0.0084 kg of water vapor per kg of dry air, the specific volume is approximately 0.85 m³/kg of dry air, and the enthalpy is approximately 91 kJ/kg of dry air.

To determine the dew point temperature, the humidity ratio, the specific volume and the enthalpy given a dry bulk temperature of 39°C and a wet bulb temperature of 18°C, you can use a psychometric chart  or a specialized software program that calculates these properties based on the given dry bulb and wet bulb temperatures, as well as other relevant parameters such as pressure, altitude, and air composition.

First, plot 39°C (the dry bulk temperature) and 18°C (the wet bulb temperature) on the chart. Then mark The atmospheric pressure of 101.325 kPa, the dew point temperature is approximately 10.4°C, the humidity ratio is approximately 0.0084 kg of water vapor per kg of dry air, the specific volume is approximately 0.85 m³/kg of dry air, and the enthalpy is approximately 91 kJ/kg of dry air.

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The statement cannot be determined from the graph, the reason is that the graph shows only the chances of survivals of Albertosaurus and it does not define the life span of the Albertosaurus.

When we carefully asses the graph, according to the information provided, the mortality rate of Albertosaurus dinosaurs between 25% and 50% of their maximum life span was significantly higher than the mortality rate of dinosaurs who lived to 75% of their maximum life span. This conclusion cannot be inferred from the graph because it only depicts the possibilities of survival for Albertosaurus and does not specify how long they lived.

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Answer:

1\2 of 8=4

so, 4

4:1\2=

2 so he has 2 slices left

Step-by-step explanation:

Answer:

41/25 or 1  16/25

Step-by-step explanation:

1 + 2/5 x 4/5 ÷ 1/2

do multiplication first

2/5 x 4/5 = 8/15

1 + 8/25 ÷ 1 /2

do division by multiplying by the reciprocal

1 + 8/25 x 2/1

1 + 16/25 = 1  16/25

Answer:

A. slope of f(x) is 3

B. g(x) has greater y-intercept

Step-by-step explanation:

A.slope of f(x): m = (y2-y1)/(x2-x1)

m = (3 - 0)/(1 - 0) = 3/1 = 3

then y = mx + b => y = 3x + b

then substituting (1,3) => 3 = 3(1) + b => 3 = 3 + b => b = 0

so y = 3x

slope of f(x) is 3

using  y = mx + b

then g(x) = 7x + 2 => slope of g(x) is 7

B. b is the y-intercept

so for f(x) = 3x => b is 0

and for g(x) = 7x + 2 => b is 2

so g(x)'s y-intercept is 2 which is great than f(x)'s

Answer:

$32.65

Step-by-step explanation:

To find the tax, multiply 29.95 by .09. This gets us 2.6955. We can round this to $2.70. Now, we add the tax to the cost of the pants. This gets us 32.65. This means the total cost, with tax, is $32.65.

Answer:

$1615

Step-by-step explanation:

500(1+.05/1)^24

500(1+.05)^24

500*1.05^24

500*3.23

1615

The total surface area of the cone is 94.25 cm². To find the total surface area of a cone, we need to calculate the lateral surface area and add it to the area of the base.

Given: Radius of cone, r = 3 cm; height of cone, h = 5 cm.The surface area of a cone is given by;S = πr² + πrL where L is the slant height of the cone.To find the slant height L, we use Pythagoras theorem. The lateral surface area of a cone can be calculated using the formula A = πrl, where r is the radius and l is the slant height. The slant height can be found using the Pythagorean theorem as l = √(r² + h²), where h is the height of the cone. In this case, the radius is 3 cm and the height is 5 cm. Plugging these values into the formulas, we find that the slant height is √(3² + 5²) = √34 cm and the lateral surface area is π(3)(√34) cm².

The base area is calculated using the formula A = πr², which gives us π(3²) cm². Adding the lateral surface area and the base area, we get the total surface area of the cone as π(3² + 3√34) cm² = 94.25 cm². Therefore, the total surface area of the cone is 94.25 cm².

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Answer:

x=6

Step-by-step explanation:

Did it ask you to solve for x?

19x-4=110

19x=110+4

19x=114

x=114÷19

x=6

Answer:

x=12, y= 20

Step-by-step explanation:

We can find x using the pythagorean thereom because ABD is a right triangle.(D is the point between segments with legnth 5 and 11)

AC^2 + CD^2 = AD^2

x^2 + 5^2 = 13^2

x^2 = 25 = 169

x^2 = 144

x = 12

We may now find y using the pythagorean thereom because ABC is a right triangle. Right now we know x = 12

AC^2 + CB ^2 = AB^2

12^2 + 16^2 = y^2

144 + 256 = y^2

y^2 = 400

y= 20

I hope this helps! :)

Answer:

7:15

Step-by-step explanation:

Total Students = 14+16 = 30

14:30

Divide by 2 on Both Sides

7:15

Answer: 7 to 15 hope it helps pretty Shure it will

Step-by-step explanation: I took the quiz

Answer:

37/56 cup

Step-by-step explanation:

The LCD of 7 and 8 is 7×8, or 56.

\( \frac{2}{7} + \frac{3}{8} = \frac{16}{56} + \frac{21}{56} = \frac{37}{56} \)

The most precise term for quadrilateral ABCD with vertices A(4, 4), B(5, 8), C(8, 8) is a kite.

Option C is the correct answer.

A kite is a quadrilateral where the adjacent sides are equal which means there are two pairs of equal sides.

We have,

Quadrilateral ABCD:

A = (4, 4)

B = (5, 8)

C = (8, 8)

D = (8, 5)

Now,

A__________B

|                      |

|                      |
|                      |

D_________ C

We see the distance between the two points.

AB = √(8 - 4)² + (5 - 4)² = √(4² + 1) = √17

AD = √(5 - 4)² + (8 - 4)² = √(1² + 4²) = √17

AB = AD

BC = √(8 - 8)² + (8 - 5)² = √9 = 3

CD = √(5 - 8)² + (8 - 8)² = √9 = 3

BC = CD

AB and AC are adjacent sides.

CD and DB are adjacent sides.

So,

The quadrilateral ABCD is a kite.

Thus,

The quadrilateral ABCD is a kite.

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Given:

∠A and ∠B are supplementary angles.

m∠A=(x−18)° and m∠B=(x−20)°.

To find:

The measure of ∠B.

Solution:

Sum of supplementary angles is always 180 degrees.

∠A and ∠B are supplementary angles. So,

\(m\angle A+m\angle B=180^\circ\)

\((x-18)^\circ+(x-20)^\circ=180^\circ\)

\((2x-38)^\circ=180^\circ\)

\(2x-38=180\)

Now,

\(2x=180+38\)

\(2x=218\)

\(x=\dfrac{218}{2}\)

\(x=109\)

The measure of angle B is

\(m\angle B=(x-20)^\circ\)

\(m\angle B=(109-20)^\circ\)

\(m\angle B=89^\circ\)

Therefore, the measure of ∠B is 89°.

Answer:

∠B is 89°.

Step-by-step explanation:

Proportion should a 20% cream be mixed with a 5% cream of the same active ingredient to make a 10% cream the proportion in which the 20% cream should be mixed with the 5% cream to make a 10% cream is X:Y = 1:2.

To determine the proportion in which a 20% cream should be mixed with a 5% cream to make a 10% cream, we can once again use the concept of weighted averages.

Let's assume we mix X parts of the 20% cream with Y parts of the 5% cream.

The equation for the weighted average can be written as:

(Percentage A * Weight A) + (Percentage B * Weight B) = Desired Percentage * Total Weight

In this case, the equation would be:

(20% * X) + (5% * Y) = 10% * (X + Y)

Simplifying the equation, we get:

0.2X + 0.05Y = 0.1X + 0.1Y

Rearranging the terms, we have:

0.1X = 0.05Y

Dividing both sides by 0.05Y, we get:

(0.1X) / (0.05Y) = 1

Simplifying further:

2X = Y

Therefore, the proportion in which the 20% cream should be mixed with the 5% cream to make a 10% cream is X:Y = 1:2.

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