3. Figure ABCD is a rhombus. If CA = 10 and BD = 24, then what is the length of CD? What is the perimeter
ABCD?
B
M

Answer:

A) 585 miles

B) 584 miles

Step-by-step explanation:

We are told that the satellite pass directly over two tracking stations A and B, which are 90 mi apart.

This means that we can look at this as forming a kind of triangle where Tracking stations A & B will be

opposite ends of the base of the triangle while the satellite position will be the apex of the triangle.

We are given the angles of elevation at A and B to be 87.0° and 84.2° respectively.

Now, if we depict the satellite position as C. Then we have;

Angle at C = 180 - (87 + 84.2)

Angle at C = 8.8°

I've attached an image depicting this triangle.

A) To find the distance of the satellite from Station A, from the image attached, the distance will be AC.

Since AB is 90 mi.

Thus, using sine rule, we have;

AB/sin C = AC/sinB

Plugging in the relevant values;

90/(Sin 8.8) = AC/(sin 84.2)

AC = (90 × (sin 84.2))/(Sin 8.8)

AC = 585.27

To the nearest mile gives;

AC = 585 miles

B) To find out how high the satellite is above the ground, is the perpendicular distance from point C to line AB

Let's call the point at which the line touches AB as D.

It means angle D is 90° and it means triangle ADC it's a right angled triangle where AC is the hypotenuse = 585 miles.

Thus, using Trigonometric ratios we can find CD

Sin(87) = CD/585

CD = (Sin 87) x 585

CD = 584.198 miles

Approximating to the nearest mile gives;

CD = 584 miles

Answer:

Distance from A to Satellite: 1832.951 miles

Distance from satellite to ground: 1830.439 miles

Step-by-step explanation:

Answer: So unfortunately a lot of these answers for this question are not answering it correctly for the way that it is asked, which is not their fault because they cannot see the image in which it is referring to. Thats because in this question when it says the angle of elevation of A is 87° it is actually talking about the angle OUTSIDE of side A in the image, NOT THE INSIDE ANGLE. meaning that the inside angle across from angle B at 84.2 is actually 93° not 87°. (since it is the corresponding angle on a 180° line and we follow the geometric laws).

Now say we name the triangle ABC, we now have INNER ANGLE A at 93° and INNER ANGLE B at 84.2°.

To get INNER ANGLE C you subtract both ANGLE A & B added together from 180° to get ANGLE C since the all interior angles of a triangle = 180°

180°-(93°+84.2°)=2.8° so INNER ANGLE C =2.8°

Now we can use the LAW OF SINES to find the LENGHT OF SIDE "a"(lower case) (DISTANCE from A to C)(Which is Distance from Satellite to Station A)

DISTANCE FROM A TO C is referred to side "b" (lower case), as it is the side across from the INNER ANGLE B, same as side "c" (lower case) is DISTANCE FROM A TO B, as it is across from INNER ANGLE C.

LAW OF SIGNS EQUATION

b/sinB= c/sinC which means:

b/sin(84.2)=90/sin(2.8)

Which equates to c=90sin84.2/sin(2.8)

Which = 1832.951 (DISTANCE FROM SATELLITE TO A)

NOW to find the DISTANCE FROM THE SATELLITE TO GROUND: Draw a straight line down from satellite making a new RIGHT TRIANGLE.

Even though it is a RIGHT TRIANGLE (Call it XAC, X being the GROUND ANGLE) you can still use the Law of Sines to figure out the HEIGHT FROM GROUND TO SATELLITE.

This is where the 87° ANGLE comes in. With the new RIGHT TRIANGLE we have created, we know 2 of the interior angles: 87° and 90°. to find last interior angle just add together and subtract from 180.

180°-(87°+90°)=3°

Since we know side a SIDE "a" from previous Triangle, it now just becomes SIDE "x" (DISTANCE FROM A TO SATELLITE) which is 1832.9 miles.

Now use law of sines to find new side A (DISTANCE FROM X(GROUND) to SATELLITE(C)

The equation would be:

a/sinA=x/sinX which is

a/sin87=1832.951/sin90 which equates:

1832.951sin(87)/sin90=

1830.439 miles.

Very long and hard problem especially without image which I shall add. Good effort to everyone who tried to answer problem, it was correct if ANGLE A was inside the 2 SATELLITES, unfortunately it just wasn't the right way to find the answer that the actual question being asked (or I assume the actual question since I had it in my homework as well), which again was impossible to know without the image the problem gave.

I could never find the right answer for this problem so I made this to try and help others once I finally found the right answer (which I did finally get correct on the homework so I know this is correct, my problem simply had the distance from A to B as 80 Miles so I just reworked it for this problem with 90 miles instead. It is the same procedure no mater the values you are given, just replace them with the ones you're being asked)

HOPE THIS HELPS =]

In a case whereby a boat travels with velocity vector (25, 25√3) the directional bearing of the boat is ON 30° E.

The given velocity vector are; 25 and  25√3)

horizontal  components =25

vertical components =25√3

Then the angle

Tan(θ) = {vertical component / horizontal component }

= 25√3 / 25

= √3 / 1

= √3

Tangent √3= 60 degrees, Then the directional bearing of angle 60 degrees is 30° E

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If we assume that the probabilty to land on each number is equal on the number cubes, then, since we have two number cubes, we have 6x6 = 36 total outcomes.

Now, the probability that both numbers land on 1 is 1/36 since it can only happen once this event.

Answer:

No, 2 is not a solution

Step-by-step explanation:

x - 5>10  Add 5 to both sides of the equations

x > 10  The solutions are all numbers greater than 10.  Two is not greater than 10.

The equivalent equation to the given one is:

h = A*t/(b - c)

We want to find an equation equivalent to the one below:

A = h*(b - c)/t

If we solve the equation for t, we would get:

t  = h*(b - c)/A

If we solve the equation for h, we will get:

h = A*t/(b - c)

If we solve the equation for b, we will get:

A = h*(b - c)/t

A*t/h = b - c

A*t/h + c = b

And if we solve it for c, we will get:

c = b - A*t/h

Then the correct option is the last one;

h = A*t/(b - c)

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Answer:

the maximal height is 14.75 units of distance.

Step-by-step explanation:

We want to find the maximum height of the function

h(t) = -16*t^2 + 24*t + 5

In order to find the maximum, we need to find the value of t where the derivate of h(t) is equal to zero, then we evaluate our original function in that time.

The derivate of h(t) (or the vertical velocity) is:

h'(t) = 2*(-16)*t + 24 = -32*t + 24

we want to find the value of such:

0 = -32*t +24

32*t = 24

t = 24/32 = 0.75

Now we evaluate our height function in that value.

h(0.75) = -16*0.75^2 + 25*0.75 + 5 = 14.75 units

hi, I would appreciate it if u upvote it, thank you

Answer:

(0,6)

Step-by-step explanation:

because a point that lies on y axis has the coordinates of its x = 0.

the therm without the x in the equation of the parabola indicate where it intercepts the y axis

Option B. The rule of sampling distribution that is listed here that can be said to be false is  Sampling distributions get wider (I.e. have greater variability) with increasing sample size.

The probability distribution of a statistic that is acquired by repeated sampling of a particular population is called the sampling distribution. It outlines a variety of potential possibilities for a statistic, such as the mean or mode of a population's mean or mode of some variable.

It could be regarded as the statistical distribution for all feasible samples drawn from the same population with a particular sample size. The population's underlying distribution, the statistic under consideration, the sampling technique utilized, and the sample size used all have an impact on the sampling distribution.

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Answer:

31/ 36

Step-by-step explanation:

21 + 10/ 36

= 31/ 36

hope it helps!

Answer:The amount of a 80% acid solution that must be mixed with a 55% solution to produce 600 mL of a 60% solution can be calculated using a simple algebraic equation. Let x represent the amount of the 80% acid solution in mL that needs to be mixed with the 55% solution.

The equation can be set up as follows:

0.80x + 0.55(600 - x) = 0.60(600)

Step-by-step explanation: The left-hand side of the equation represents the total amount of acid in the mixture. The first term, 0.80x, represents the amount of acid from the 80% solution, and the second term, 0.55(600 - x), represents the amount of acid from the 55% solution. The right-hand side of the equation represents the total amount of acid in the final 60% solution, which is 60% of 600 mL.

By solving this equation for x, we can determine the amount of the 80% acid solution that needs to be mixed with the 55% solution. Once we have the value of x, we can then calculate the amount of the 55% solution by subtracting x from 600 mL.

Internal Link: For a verified answer on a similar topic, check out this link: https://brainly.com/question/1234567 intext:Answer Expert Verified.

Let x=amount of 80% solution needed

Then 600-x=amount of 30% solution needed

Now we know that the pure acid in the 80% solution (0.80x) plus the amount of pure acid in the 30% solution ((0.30)(600-x)) has to equal the amount of pure acid in the final mixture(0.40*600), so our equation to solve is:

0.80x+0.30(600-x)=0.40*600 get rid of parens

0.80x+180-0.30x=240 subtract 180 from each side

0.80x+180-180-0.30x=240-180 collect like terms

0.50x=60 divide each side by 0.50

x=120 ml---------------------amount of 80% solution needed

600-x=600-120=480 ml---------------amount of 30% solution needed

CK

120*0.80+480*0.30=0.40*600

96+144=240

240=240

1. The velocity at time t , v(t) = (18t² + 3 ) m/s

2. The velocity at time t = 3 seconds = 165 m/s

3. The acceleration at time t, a(t) =( 36t )m/s²

4. The acceleration at time t = 3 seconds = 108 m/s²

The quantity that tells us how fast an object is moving anywhere along its path is the instantaneous velocity.

Instantaneous acceleration is defined as the ratio of change in velocity during a given time interval such that the time interval goes to zero.

1. s(t) = 6t³ + 3t +9

to find the velocity at time t, we differentiate s(t)

= 18t² + 3

2. at t = 3s

= 18(3)² +3

= 165 m/s²

3. v(t) = 18t² + 3

to get the acceleration at time t, we differentiate v(t)

= 36t

4. when t = 3

a = 36 × 3

= 108 m/s²

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The DJ will charge them $575.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given that,

Booking fee for DJ = $350

Rate for an hour = $45

Let x be the number of hours DJ is lasting.

Expression to find the total charge for x hours is 350 + 45x.

The Martins want to book the DJ for a party that will last 5 hours.

Cost for the DJ party for Martins = 350 + (45 × 5) = $575

Hence the cost for the DJ party booked by Martins is $575.

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As the data says , the null and alternate hypothesis will be H0 :p=0.50 and H1:p ≠ 0.50

Let p stand for the true proportion of odds.

To compare the

null hypothesis H0:P = 0.50

alternative hypothesis H1:p 0.50

Let p represent the sample proportion and n represent the sample size.

here,

p = 14/40

= 0.350

n=40, p₀ = 0.500,

= proportional standard error under null 0.50 * (1 -0.50) /40

= 0.079057

The test statistic is as follows:

z = p - p0 / √ p0  ( 1  - p0) / n )

They follow a typical normal distribution under H0

If P-value 0.05 or |Zobs| > 0, we reject H0 t 0.05 threshold of significance. z0.025

Now,

The test statistic value is -1.897367.

1.959964 is the key value.

P-value = 2*P(Z - 1.897367) + P(|z|>Zobs)

= 2 * 0.028890

= 0.057780≈ 0.0578

Because the p-value is greater than 0.05 and |Zobs|  = 1.959964,

As a result, we fail to reject H0 at the 0.05 threshold of significance.

As a result, the population proportion has decreased.

Null and alternate hypotheses are used in statistical hypothesis testing. The null hypothesis of a test always expects no effect or no association between variables, whereas the alternative hypothesis of a test always predicts no effect or no association between variables.

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Answer:

Step-by-step explanation:

Step 1: The sample proportion is pˆ=1440=0.35, the hypothesized proportion is p0=0.5, and the sample size n=40.

Step 2: The test statistic, rounding to two decimal places, is z=0.35−0.50.5(1−0.5)40−−−−−−−−−−√≈−1.897.

Step 3: Since the test is two-tailed and the test statistic is negative, entering the function =2*Norm.S.Dist(−1.90,1) into Excel returns a p-value, rounding to three decimal places, of 0.058.

Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

The correct statement is;

False,  because x = \(cos^-^1({\frac{-1}{2} )\) is in the interval \(( -\frac{\pi }{2} , \frac{\pi }{2} )\) that is, \(cos^-^1({\frac{-1}{2} )\) = \(\frac{2\pi }{3}\). So all solutions of cos x = -1/2 will be  x = 2π/3 + 2nx and x = 4π/3 + 2nx.

Option D

From the information given, we have that;

All solutions are cos x = -1/2 are given by x = 4x/2 + 2πx

There are multiple solutions to the equation cos x = -1/2, and they are denoted by the values x = 2π/3 + 2nx and x = 4π/3 + 2nx

Such that n is an integer.

This is so because the cosine function repeats itself every 2π, or its period. We therefore multiply the general answer by multiples of 2 to obtain all solutions.

The formula x = 4x/2 + 2πx implies that each solution can be reached by x being multiplied by 4/2 and 2πx being added.

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Answer:

Ой ну не знаю очень сложный вопрос

\(\\ \sf\longmapsto \displaystyle{\lim_{x\to 0}}\dfrac{sinx-sin3x}{sins3x-sinx}\)

\(\boxed{\sf \displaystyle\lim_{x\to 0}\dfrac{f(x)}{g(x)}=\dfrac{\lim_{x\to 0}f(x)}{\lim_{x\to 0}g(x)}}\)

Now

\(\\ \sf\longmapsto \displaystyle{\dfrac{\lim_{x\to 0}sinx-\lim_{x\to 0}sin3x}{\lim_{x\to 0}sin3x-\lim_{x\to 0}sinx}}\)

\(\boxed{\sf \displaystyle{\lim_{x\to 0}}f(x)=f(a)}\)

\(\\ \sf\longmapsto \dfrac{sin0-sin3(0)}{sin3(0)-sin0}\)

\(\\ \sf\longmapsto \dfrac{0-0}{0-0}\)

\(\\ \sf\longmapsto \dfrac{0}{0}\)

\(\\ \sf\longmapsto 0\)

The length of 2 sides and an angle between them is given A = ½ × b × c × sin(α) If two angles and the length between them is given A = For an isosceles right triangle A = ½ × a.

If the height (i.e. the altitude) and base of an isosceles triangle are known, the area can be easily calculated. The area of the isosceles triangle is calculated by multiplying the height by the base and dividing by two. As a result, an isosceles triangle has two equal sides and two equal angles. The name is derived from the Greek words iso (same) and skelos (skull) (leg). An equilateral triangle has all of its sides equal, whereas a scalene triangle has none of its sides equal.

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To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:

\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)

To simplify this expression, we can expand the square:

\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)

Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)

Next, let's find g(f(x)). We substitute f(x) into the function g(x):

\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)

Hence, g(f(x)) simplifies to 1/x^2.

In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.

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The difference between the regression equation is Equation 2 is the estimated value of the model in equation 1, to be exact.

Regression analysis evaluates the association between the factors and variable and determines how changes in the independent variable impact the dependent variable. Equation Y is equal to aX plus b, where Y is the dependent variable, an is the slope of the regression equation, x is the independent factor, and b is a constant, is used to represent it.

Regression analysis is one of the most used statistical techniques for determining the relationships between a number of independent and dependent variables.

The two equations are:

y=b0+Bx .........(1)

y=b0+b1x............(2)

The parameter and estimate in the two equations are different.

Equation 1 contains the model that is presumptively present in the data collection. As a result, the parameters or actual values of the regression coefficient make up this model.

Now that these regression coefficients have been determined using the sample data, equation 2 is used to represent the result.

Equation 2 is the estimated value of the model in equation 1, to be exact.

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Answer:

a)8x+6y

b)4x+2y

Step-by-step explanation:

a)5x+3x+2y+4y

5x+3x=8x

2y+4y=6y

=8x+6y

b)6x-2x+8y-6y

6x-2x=4x

8y-6y=2y

=4x+2y

Answer:

a) x = -0.75y

b) x = -0.5y

Step-by-step explanation:

Simplifying

5x + 3x + 2y + 4y = 0

Combine like terms: 5x + 3x = 8x

8x + 2y + 4y = 0

Combine like terms: 2y + 4y = 6y

8x + 6y = 0

Solving

8x + 6y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6y' to each side of the equation.

8x + 6y + -6y = 0 + -6y

Combine like terms: 6y + -6y = 0

8x + 0 = 0 + -6y

8x = 0 + -6y

Remove the zero:

8x = -6y

Divide each side by '8'.

x = -0.75y

Simplifying

x = -0.75y

Simplifying

6x + -2x + 8y + -6y = 0

Combine like terms: 6x + -2x = 4x

4x + 8y + -6y = 0

Combine like terms: 8y + -6y = 2y

4x + 2y = 0

Solving

4x + 2y = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2y' to each side of the equation.

4x + 2y + -2y = 0 + -2y

Combine like terms: 2y + -2y = 0

4x + 0 = 0 + -2y

4x = 0 + -2y

Remove the zero:

4x = -2y

Divide each side by '4'.

x = -0.5y

Simplifying

x = -0.5y

Answer: 5.6 kilograms.

Step-by-step explanation:

We know that 1,000 paperclips have a mass of 1 kilogram.

Therefore, one paperclip has a mass of 1/1000 kilograms, or 0.001 kilograms.

To find out how many kilograms 5,600 paperclips have, we can multiply the mass of one paperclip (0.001 kilograms) by the number of paperclips:

0.001 kilograms/paperclip * 5,600 paperclips = 5.6 kilograms

Therefore, 5,600 paperclips have a mass of 5.6 kilograms.

Answer:

A quadrilateral is a shape that has four straight sides and four angles.

A triangle is a shape that has three straight sides and three angles.

A square is a special type of quadrilateral that has four straight sides of equal length and four right angles.

Answer:

there are 5 types of point of views

please brainliest me

Step-by-step explanation:

1rst person: Writing in first person means writing from the author's point of view or perspective. This point of view is used for autobiographical writing as well as narrative.

2 person: The second-person point of view belongs to the person (or people) being addressed. This is the “you” perspective. Once again, the biggest indicator of the second person is the use of second-person pronouns: you, your, yours, yourself, yourselves.

3 person:  In the third-person point of view, a narrator tells the reader the story, referring to the characters by name or by the third-person pronouns he, she, or they.

4 person: The term fourth person is also sometimes used for the category of indefinite or generic referents, which work like one in English phrases such as "one should be prepared" or people in people say that..., when the grammar treats them differently from ordinary third-person forms."

5 person:From a fifth person perspective, one starts to “feel” the system in a different way, recognizing that one's own perspective on and in the Anthropocene is merely a perspective, which itself is a perspective, which in turn is a perspective.

The sheet decreased by 1.5 meters and is now at 2.5 meters.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

In this case, s=−0.25t + 4 represents the thickness of the ice over t weeks. To find the thickness at 6 weeks, substitute t=6.

s = -0.25(6)+4

s = 2.5 meters

It started at t= 0 at 4 meters. So it decreased by (4 - 2.5) = 1.5 meters.

The start of spring has 4 meters because when t= 0, s= -0.25(0)+4 = 4

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During the cold winter months, a sheet of ice covers a lake near the Arctic Circle. At the beginning of spring, the ice starts to melt.

The variable s models the ice sheet's thickness (in meters) t

weeks after the beginning of spring.

s=−0.25t+4s=-0.25t+4

s=−0.25t+4

By how much does the ice sheet's thickness decrease every 6 weeks?

1 4/9 ÷ 2/3 = 13/9 x 3/2 = 13/6

ok done. Thank to me :>

The key phase that we see in our response is "Divide the numerator by the denominator" (option C).

A key phrase refers to a phrase that contains words that define the most important part of a text. A key phrase serves as a summary of a paragraph or larger text.

In this case, the key phrase would serve to establish what was the mathematical procedure that we carried out to solve a mathematical problem. According to the above, it can be inferred that the key phrase must contain the most precise information to describe this procedure.

Based on the above, the correct answer is "Divide the numerator by the denominator" because it exactly describes the procedure that was performed.

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It needs to do that route I guess. But I don't understand the last question well.