Find the coordinates of the point on the unit circle at an angle of π.

Projectile B begins its descent 1 seconds before Projectile A does.

In Mathematics and Geometry, the y-intercept of any graph or table such as a quadratic equation or function, generally occurs at the point where the value of "x" is equal to zero (x = 0).

By critically observing the table shown in the image attached above, we can reasonably infer and logically deduce the following y-intercept of Projectile A:

y-intercept = (0, 44).

Maximum height = (4, 300).

When t = 0, the y-intercept of Projectile B can be calculated as follows;

h(t) = -16t² + 96t

h(0) = -16(0)² + 96(0)

h(0) = 0.

For the maximum height, we have:

h(t) = -16t² + 96t

h'(t) = -32t + 96

32t = 96

t = 96/32

t = 3

Difference in time = 4 - 3

Difference in time = 1 seconds.

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The inequality that represents the number and type of shots the player needs to win the title is -

x + 2y ≥ 28

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have A basketball player in a game who makes [x] free throws worth 1 point and [y] free throws worth 2 point baskets. The player needs to score at least 28 points to win the scoring title.

The inequality that represents the number and type of shots the player needs to win the title is -

x + 2y ≥ 28

Therefore, the inequality that represents the number and type of shots the player needs to win the title is -

x + 2y ≥ 28

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The measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

The angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.

arc RS = 2(m∠RQS)

Also arc AD = 140°

2(m∠RQS) = 140°

m∠RQS = 140°/2 {divide through by 2}

m∠RQS = 70°

Therefore, the measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°

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Applying the sine rule the value of side w is calculated to be 6.2

The size of w is calculated using the sine rule which states that the ratio of a side and the opposite angles are equal

the formula is

Sin A / a = Sin B / b = Sin C / c

applying the formula for the problem

Sine W / w = Sine X / x

plugging in the values

Sine 38 / w = Sine 84 / 10

cross multiplying

w = 10 x Sin 38 / Sine 84

x = 6.185

x =  6.2 to the nearest tenth

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Answer:

it is half

r u show

omg workings

hmm im not sure, but I'm going to try to help you!! but I think it is B or D. Maybe but I'm not too sure. though. :((

Answer:

The probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.

Step-by-step explanation:

Let X = weight of pilots.

It is provided that X follows a normal distribution with mean, μ = 130 lbs. and standard deviation, σ = 27.3 lbs.

Compute the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. as follows:

\(P(120<X<161)=P(\frac{120-130}{27.3}<\frac{X-\mu}{\sigma}<\frac{161-130}{27.3})\\\\=P(-0.37<Z<1.14)\\\\=P(Z<1.14)-P(Z<-0.37)\\\\=0.87286-0.35569\\\\=0.51717\\\\\approx 0.52\)

Thus, the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.

The exponential growth can be expressed as

y0 is the initial value

k is the growth rate

t is the time period

y is the final value

If you write the final value of the population as a function of the time, for k=4 and y0=12 the formula is

t is the determined time period the population grows, if it cuadruples every 3 years, then

first 3 years is t=1

6 years is t=2

9 years is t=3

12 years is t=4

15 years is t=5

For this population

Using system of linear equations, the length and width of the rectangle are 9cm and 3cm respectively

The system of linear equations is the set of two or more linear equations involving the same variables. To find the length and width, we use both equations to solve for l and w

In this problem, the rectangle has a perimeter of 24 cm and the given area . Its length is three times more than its width.

2l + 2w = 24 ...eq(i)

l = 3w ...eq(ii)

Solving both equations; the length is 9cm and width is 3cm

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Complete Question : The rectangle shown has a perimeter of 24 cm and the given area. Its length is three times more than its width. Write and solve a system of equations to find the dimensions of the rectangle.

The approach for solving for incenter.

Incenter:

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.

It can also be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.

Formula for solving incenter:

Let (x1,y1) , (x2,y2) and (x3,y3) are three points of triangle.

and a,b,c are lengths of sides.

I = ((ax1+bx2+x3 / a+b+c  ,  ay1+by2+cy3 / a+b+c))

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Answer:

The box that says 8 is greater than 8 is wrong, you did the ones so it should be 8 is greater than 6 --> 8>6

also I think the right side should be like this ---> 42>22 64>46 88>86 92>29

Answer:

172,600

Step-by-step explanation:

hii so basically the mean is the same as average so add all together and divide by how many prices in this case there originally were

so 181,000+187,000+144,000+176,000+175,000=863,000

then divide by 5

863,000/5=172,600

hope this helped !

The independent Variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

The table above illustrates the relationship between the temperature of a substance and its volume. The independent variable is the temperature of the substance and the dependent variable is the volume of the substance.

The symbol or name used to represent the independent variable is "T" for temperature and its units are given as degrees Celsius or °C.The symbol or name used to represent the dependent variable is "V" for volume, and its units are given as milliliters or mL.

The temperature is the independent variable as it is being manipulated in the experiment while the volume is dependent on the temperature as it is changing based on the temperature.

An independent variable is a variable in an experiment that is being manipulated by the experimenter, while the dependent variable is the variable that is being measured in response to changes in the independent variable.

In summary, the independent variable in the situation presented in the table is the temperature (T), which is measured in degrees Celsius (°C), and the dependent variable is the volume (V), which is measured in milliliters (mL).

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Answer: The sum of a number and its square is 6. Find the number

Step-by-step explanation:

n + n^2 = 6 n^2 + n - 6 = 0 factoring ___ (n + 3)(n - 2) = 0 n + 3 = 0 ___ n = -3 n - 2 = 0 ___ n = 2 two solutions 

Answer:

n = -3, 2

Step-by-step explanation:

We're given:

Let the number be n.

\(n+n^2=6\)

⇒ Move everything to one side of the equation:

\(n+n^2-6=0\)

⇒ Organize in \(ax^2+bx+c=0\) form:

\(n^2+n-6=0\)

⇒ Factor:

\(n^2-2n+3n-6=0\\n(n-2)+3(n-2)=0\\(n+3)(n-2)=0\)

⇒ Use the zero-product property to find n:

\(n+3=0\\n=-3\)       or       \(n-2=0\\n=2\)

Answer:

The answer would be 45

Answer:

1/3 x 3/4

Step-by-step explanation:

he took 1/3 of 3/4 means that he did 1/3 x 3/4

Answer:

12.

Step-by-step explanation:

if to re-write the given condition, then

\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)

it is clear, the required constant is 12 (12 per hour).

Answer:

10 times.

Step-by-step explanation:

We need to find that the value of 3 in 546300 is how many times more than 3456.

The place value of 3 in 546300 is 300 and the place value of 3 in 3456 is 3000.

Now dividing 3000 by 300 as follows :

\(\dfrac{3000}{300}=10\)

It means that the value of 3 in 546300 is 10 times more than the value of 3 in 3456.

Answer:

Step-by-step explanation:

the 1st number of this series is x

because this series has 384 consecutive odd integers => this is a arithmetic sequence with d = 2

=> the sum of this series = \(384x+384(384-1) =384x+147072\)

but this series has a sum that is the perfect fourth power of a positive integer

=> 384x + 147072 = k^4 ( k is a positive integer)

to have the smallest sum => x must be the smallest odd integer.

+) with the sum = 104 976 => x isnt a integer => unreasonable

+) with the sum = 20 736 => x = -329

+) with the sum = 10000 =>x isnt a integer => unreasonable

+) with the sum = 1296 =>   x isnt a integer => unreasonable

+) with the sum = 38 416 => x isnt a integer => unreasonable

=> the smallest sum is 20 736

Answer:

The smallest sum is 20 736!

Step-by-step explanation:

Hope this helps!!! :))

Answer:

mAOC = 40

Step-by-step explanation:

This is because from 40 to 60 degrees its 20 degrees, and then from 60 to 80 degrees its 20 degrees so 20 +20= 40 degrees

I would be happy to help, but there is no problem

Step-by-step explanation:

Answer:

120m²

Step-by-step explanation:

length x width = 12 x 10

= 120

Answer:

1. 68 , 2. 22, 3. 63, 4. 27, 5. 22

Step-by-step explanation:

Angles in a triangle add up to 180 degrees

180 - (68+ 90) = 22

Then to work out angle 1 you do 90 - 22 = 68

Angles on a straight line add up to 180 degrees

To find the angle next to 131 degrees

you do 180 - 131 = 49 degrees

49 + 68 + ? = 180

? = 63

90 - 63 = 26

90 - 68 = 22

Answer:

16. Addition

Divide

17. Multiplication

Divide

Step-by-step explanation:

Step-by-step explanation:

The answer is not in the option.

The answer is 29/24.