Answer:
thousands place
Step-by-step explanation:
The path of a satellite orbiting the earth causes the satellite to pass directly over two tracking stations A and B, which are 90 mi apart. When the satellite is on one side of the two stations, the angles of elevation at A and B are measured to be 87.0° and 84.2°, respectively. (Round your answers to the nearest mile.)
(a) How far is the satellite from station A? mi
(b) How high is the satellite above the ground? mi
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 =]
Three letters are randomly chosen from PROBABILITY. What is the probability that two of the three letters are the same?
Answer:
1 out of 25 letters question
li walks at a contant rrate of 7 ft in 4 s the table shows the relation ship of the feet to seconds what is the constant proportionality for the relationship of feet to minutes
Answer:
105ft per minute
Step-by-step explanation:
well, if he/she walks 7ft in 4s, then you divide 60/4. In which you get 15.
15•7=105
Which of the following z-scores is NOT outside the middle 68% of the data for a normal distribution?
a.) -0.8
b.) -2.8
c.) 1.8
d.) 3.8
Answer:
Step-by-step explanation:
A, use three_digite rounding arithmetic to compute 13- 6 and determine the absolute,relative ,and percentage errors.
tepeat part (b) using three – digit chopping arithmetic.
HELP MEEEE PLEASEEEEE I HAVE AN F !!
Answer:
Step-by-step explanation: So theres 10 marbles total in the bag. 5 is one half of 10 so the probability to get a blue marble is 5/10 or 1/2 and the probablility of getting an orange one is 1/10 so you have to first get lucky and get that 5/10 chance, and then get even more lucky and get the 1/10 chance and so I believe that it would be 1/20
Camden is harvesting guavas at a constant rate. An equation that represents the number of bushels of
guavas he picked over a period of time, in hours, is y = 6x + 2.
(a) How many bushels has Camden already picked? (Hint: y-intercept)
(b) How many bushels can Camden harvest per hour? (Hint: slope)
(c) To graph the equation, which graph correctly models the equation?
(Choose one: Graph A, B, C, or D.)
Graph
Graph A
ushels
10
Bushels Picked per Hour
Graph B:
purs
7 8 9 10
bushels
bushels
Bushels Picked per Hourc
The bushels Camden already picked is 2 and The slope is 6.
What is an equation?An equation is an expression that shows the relationship between some timeers and variables.
Given that equation that represents the number of bushels of guavas he picked over a period of time, in hours, is y = 6x + 2.
Here m = 6 which is the slope of the line.
The bushels Camden already picked are 2
The bushels can Camden harvest per hour is 6 which is the slope of the equation.
The graph of the equation is attached below.
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Inputs: People at concession stand Outputs: Cost of their order
this relation a function?
it a constant function?
it a 1-1 function?
People at the concession stand as input Cost of their order's output.
(1) The relation in question is a function.
(II) This function is not constant. (Each category of concession has a different order cost.)
Not a 1-1 function (iii). (Several persons arrived seeking the same sort of concession. So they all pay the same price for their order.)
A function describes the relationship between patrons' inputs at the concession stand and the cost of their order as an output. A function is a relationship between a set of possible inputs and outputs, where each input is associated to exactly one output.
The quantity of patrons at the concession stand serves as the input in this scenario, while the cost of their order serves as the output.
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does anyone know w(t) = 3t - 1, w(-4.2) ?
Answer:
w(-4.2) = 3(-4.2) -1 = -12.6 - 1 = -13.6
Step-by-step explanation:
The w(-4.2) is your t so you substitute it in your expression which means you get 3(-4.2) -1 and that gives you -13.6.
Solve for d in the equation below. Isolate \(d\) on the left hand side. Show all work.
\(A=B\left(1+\dfrac{c}{d} \right)^{dk}\)
The solution for ‘d’ in the given equation is d = (ln(A) - ln(B))/ln(1+c/d).
What is natural log?Natural log is a logarithmic function commonly used in mathematics and in calculators to simplify equations. It is the inverse of the exponential function and is written as ln(x).
In order to solve for ‘d’ in the given equation, we need to isolate it on the left side of the equation.
To do this, we can begin by taking the natural log of both sides of the equation, as shown below.
ln(A) = ln(B) + d*ln(1+c/d)
We can now rearrange the terms in this equation such that ‘d’ is isolated on the left side of the equation.
d*ln(1+c/d) = ln(A)-ln(B)
We can now divide both sides of the equation by ln(1+c/d) in order to solve for ‘d’, as shown below.
d = (ln(A) - ln(B))/ln(1+c/d)
Therefore, the solution for ‘d’ in the given equation is
d = (ln(A) - ln(B))/ln(1+c/d).
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(2a^3 b^4) ^4=
What is the answer to this problem ?
Answer: 16a^12 b^16
Step-by-step explanation:
Everything in the parenthesis to the 4th power.
2a^4= 16a
3*4=12
b^4*4=b^16
I've been unable to figure this out. Anyone able to assist on which is the correct answer?
The domain and range of the given function are {-2, 0, 1, 2, 3} and {-3, 0, 2, 3, 4} respectively
Domain and Range of a FunctionThe domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
The domain of a function can be said as all possible values of x and the range of a function is all possible values of y.
The given function is
f(x) = {(0, -3), (2, 0), (3, 2), (1, 4), (-2, 3)
The domain of the function can be given as;
Domain : {-2, 0, 1, 2, 3}
Range : {-3, 0, 2, 3, 4}
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Whats the two answers? ( Branliest )
Answer:
B and CStep-by-step explanation:
Factors:
(A) x + y, no product(B) 5(x + y), two factors(C) (x - y)(x + y), two factors(D) xyz, three factors#A
x+yNo
#B
5(x+y)5x+5yYes
#C
(x-y)(x+y)Yes
#D
xyzNo
A loan is being paid off by payments of 1,000, 2,000, ..., 10,000 at the end of years 1, 2, ..., 10.
The effective annual interest rate is 18%.
Determine the amount of interest in the 7th payment.
Therefore, the interest portion of the seventh payment is:7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7 - 7,000.
We have the following payments and their corresponding times of payment:At the end of year 1: $1,000At the end of year 2: $2,000At the end of year 3: $3,000At the end of year 4: $4,000At the end of year 5: $5,000At the end of year 6: $6,000At the end of year 7: $7,000
At the end of year 8: $8,000At the end of year 9: $9,000At the end of year 10: $10,000The present value of these payments is:PMT x [(1 - (1 + r)-n) / r]where PMT is the payment, r is the interest rate per year, and n is the number of years till payment.
For the first payment (end of year 1), the present value is:1,000 x [(1 - (1 + r)-1) / r]which equals
1,000 x (1 - 1 / (1 + r)) / r = 1,000 x ((1 + r - 1) / r) = 1,000
For the second payment (end of year 2), the present value is:2,000 x [(1 - (1 + r)-2) / r]which equals 2,000 x (1 - 1 / (1 + r)2) / r = 2,000 x ((1 + r - 1 / (1 + r)2) / r) = 2,000 x (1 + r) / r2
For the seventh payment (end of year 7), the present value is:
7,000 x [(1 - (1 + r)-7) / r]
which equals
7,000 x (1 - 1 / (1 + r)7) / r = 7,000 x ((1 + r - 1 / (1 + r)7) / r) = 7,000 x (1 + r + r2 + r3 + r4 + r5 + r6) / r7
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someone please help !!
Answer:
It ask what is congruent or the same as that ketter placement. Look where E is for example the letter that is in the same spot as E is R.
a) fe
b) r
c)trp
To find the number in a square, add the numbers in the two circles
connected to it.
Fill in the missing numbers.
The missing values in the quantitative reasoning given are : -2, 13 and 9
Given the rule :
square = circle + circleWe can deduce that :
circle = square - circleFor the left circle :
circle = -6 - (-4) = -6 + 4 = -2
For the right circle :
circle = 11 - (-2) = 11 + 2 = 13
For the left square :
square = 13 + (-4)
square = 13 -4 = 9
Therefore, the missing values are : -2, 13 and 9
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You have saved $14,000 for a down payment on a house. Your bank requires a minimum down payment of 17%. What is the maximum price you can offer for a home in order to have enough money for the down payment? (Round your answer to two decimal places.)
The maximum price you can offer for a home is approximately $82,352.94 for a 17% down payment.
To determine the maximum price you can offer for a home, you need to calculate 17% of the total price, which will be your down payment of $14,000.
Let's assume the maximum price you can offer for the home is P dollars.
According to the given information, the down payment requirement is 17% of the total price. So, we can set up the following equation:
\(0.17P = $14,000\)
To solve for P, divide both sides of the equation by 0.17:
P = $14,000 / 0.17
Calculating this expression, we find:
P ≈ $82,352.94
Therefore, the maximum price you can offer for a home in order to have enough money for the 17% down payment is approximately $82,352.94.
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add
3×+8y-12zand5x-7y+15z
help meee
3x+5x+12z+15z+8y+7y
8x+17z+15y
Answer:
\(3x + 8y - 12 z + 5x - 7y + 15z \\ 8x + y + 3z\)
Step-by-step explanation:
I hope this helps you
Anu was checking her emails she casually told her friend siting next to her the ratio of unread emails in my inbox is 4:1 The total number of emails is 120 what is the number of unread emails in her inbox
In a case whereby Anu was checking her emails and she casually told her friend siting next to her the ratio of unread emails in my inbox is ratio 4:1 where the total number of emails is 120 then the number of unread emails in her inbox is 96mails.
How can the unread mails be calculated?The concept that will be used here is ratio. An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)
The total mails in her box is 120
The we can represent the unread mails as 4x and read mails be 1x
This can be expressed as :
(4x+1x)=120mails
5x=120mails
x=120/5
x=24
This implies that the uread mails(4×24)
=96mails
Then the number of the read mail =(1×24)=24mails
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29 over 11 as a decimal
Answer:
29/11 = 2 7/11
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
Answer:
2.636
The 63 keeps repeating itself so you can add a line above the 63 instead.
What is 8/m - 11/3m=?
Answer:
8/3m + 8Step-by-step explanation:
What is 8/m - 11/3m=?
8/m - 113m =
(3 - 11/3)m + 8 =
8/3m + 8
Answer:
13/3m
Step-by-step explanation:
Rewrite the equation below so that it does not have fractions. 2-4/9x=5/6
Do not use decimals in your answer.
Answer:
36 - 8x = 15
Step-by-step explanation:
Use the lowest common multiple of 6 and 9
Denominator Factors
6 2 and 3
9 3 and 3
LCM: needs 1 two and two 3s
LCM = 2 * 3 * 3
Multiply the entire equation by 18
18(2 - 4/9 x = 5/6)
36 - 18*(4/9)x = 5/6 * 18 Combine
36 - 8x = 15
This is the answer to the question. You are not asked to solve it. You are asked to rewrite it so it uses whole numbers for the coefficients. The solution requires a decimal.
Elizabeth is building shelves using a 2 foot long piece of wood. Each shelf will be 1/3 of a foot long. How many shelves is she going to build
Answer:
6
Step-by-step explanation:
2 divided by 1/3=
(2/1)(3/1)
6
A hamburger costs twice as much as a hot dog. Three hamburgers and two hot
dogs cost $21. Choose the system of linear equations that represents this problem.
A. 2y=x
2x+3y=21
B. y=2x
2x+3y=21
C.x=2y
3x+2y=21
D.y=2x
3x+2y=21
Answer:
C
Step-by-step explanation:
Hamburger = Hotdog x 2
3(Hamburger) + 2(Hotdog) = 21
Now replace with x (Hotdog) and y (Hamburger)
y = 2x
3y + 2x = 21
Help me please!!!
Whoever answers right gets brainliest!
The equation that best describes the relation is y = -x+1 ( optionD)
What is linear equation?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.
Taking x(0,1) and y ( 1,0)
therefore the slope of the line
= 0-1/1-0
= -1/1 = -1
the equation a line is given as
y-y1 = m(x-x1)
= y-1 = -1( x - 0)
= y-1 = -x
y = -x +1
therefore the equation that describe relation is y = 1-x or y = -x+1
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bella answered 33 questions on her math test. she earned a 92% on the test. how many questions did she answer correct
Answer: 30.36
Step-by-step explanation:
92% of 33 is 30.36. I don't know how Bella got 30.36 questions correct, but that is what I got.
please help, thank you!!
Answer:
the answer would be 2
Step-by-step explanation:
you'll get the answer by dividing
Abi takes out a loan that gathers compound interest. The table below shows the value of the loan over time. a) What is the rate of interest per annum? Give your answer as a percentage to 1 d.p. b) Work out the value of the loan 10 years after it starts. Give your answer in pounds (£) to the nearest 1p. Start After 1 year After 2 years £2500.00 £2645.00 £2798.41
Answer:
25000
Step-by-step explanation:
Prove the following identity. Please be clear and neat. SHOW ALL STEPS and number your steps if necessary. Work with one side to manipulate it (use identities, simplify, etc.) to get it to match the other side (do not move parts over the = sign).
Answer:
Explanation:
We are given the identity:
\(\frac{\sec x}{cotx +tanx}=\sin x\)We would show a prove of this identity as shown below:
\(\begin{gathered} \frac{\sec x}{cotx +tanx}=\sin x \\ \text{Let's define the identities, we have:} \\ \sec x=\frac{1}{\cos x},\cot x=\frac{\cos x}{\sin x},\tan x=\frac{\sin x}{\cos x} \\ \Rightarrow\frac{\frac{1}{\cos x}}{\frac{\cos x}{\sin x}+\frac{\sin x}{\cos x}} \\ \text{Multiply the numerator \& denominator by the common factor of the denominatro, we have:} \\ \frac{\frac{1}{\cos x}}{\frac{\cos x}{\sin x}+\frac{\sin x}{\cos x}}\times\frac{\cos x\cdot\sin x}{\cos x\cdot\sin x} \\ \frac{\sin x}{(\cos x)^2+(\sin x)^2} \\ \frac{\sin x}{\cos ^2x+\sin ^2x} \\ But\colon\cos ^2x+\sin ^2x=1 \\ \Rightarrow\frac{\sin x}{1}=\sin x \\ =\sin x \\ \\ \therefore\frac{\sec x}{cotx+tanx}=\sin x(PROVEN) \end{gathered}\)I need assistance please.
Your Assignment
Mr. Paulsen challenges Olivia and Angelica to move figure ABCDE onto figure A"B"C"D"E" using a series of two different transformations. They give two different answers.
Answer the questions to investigate ways to transform ABCDE.
1. Olivia finds a combination of two different transformations that moves ABCDE onto A"B"C"D"E". What is one way she might have done this? (3 points)
2. Angelica reflects ABCDE over the y-axis and translates it up 8 units. Does her transformed figure match A"B"C"D"E"? If not, describe how her transformed figure compares to A"B"C"D"E". (3 points)
3. Michael says he can move ABCDE onto A"B"C"D"E" with one transformation by translating ABCDE diagonally so that it moves 8 units up and 10 units right. Is he correct? Explain why or why not. (4 points)
One way Olivia might have moved ABCDE onto A"B"C"D"E" is by first reflecting ABCDE over the x-axis, and then translating it 4 units to the left and 6 units down.
1) This would map point A to A", B to B", C to C", D to D", and E to E", creating A"B"C"D"E".
2) Angelica's transformation does not result in a figure that matches A"B"C"D"E". Reflecting ABCDE over the y-axis would map point A to A", B to E", C to D", D to C", and E to B", so the shape would be flipped horizontally. Translating it up 8 units would then shift the shape up, but it would still be horizontally flipped, so it would not match A"B"C"D"E".
3) Michael's claim is not correct. Translating ABCDE diagonally 8 units up and 10 units right would move point A to point J, which is not on A"B"C"D"E". The other points would also not be in their correct positions, so the resulting shape would not match A"B"C"D"E". To get to A"B"C"D"E" with one transformation, Michael would need to use a combination of translation, rotation, and/or reflection.
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Solve the following system.
x2 + y2 = 20
y= x2
Answer:
x=2±√6. Explanation: Since we are given y in terms of x, we can substitute directly into the other equation...