1. Is there a right angle in the triangle shown by connecting the center of the earth, the
satellite & station 1? How do you know? *Assume that the line connecting the satellite
& station 1 is tangent to the earth*
Answers
The triangle shown in the figure formed by the line connecting the center of the Earth to the Station 1, the Station 1 to the Satellite, and the Satellite to the center of the Earth forms a right triangle.
What is a right triangle?A right triangle is a triangle that has a 90 degrees interior angle.
The line joining the center of the Earth and Station 1 is perpendicular to the line connecting the Satellite to Station 1, because, the line connecting the Satellite to Station 1 is a tangent and tangents to a circle are perpendicular to a radius of the circle at the point of tangency.
The triangle formed by connecting the center of the Earth to the Station 1, and connecting the Satellite to Station 1, and connecting the Satellite to the center of the Earth forms a right triangle, because the angle formed by the line connecting the center of the Earth to Station 1, forms a right angle with the tangent from the Satellite to the Station 1
Learn more on right triangles here: https://brainly.com/question/1065710
#SPJ1
Related Questions
Find the measure of x
Answers
Answer:
113°
Step-by-step explanation:
Angles that form a linear pair are supplementary, and thus add to 180°.
please open the attached image
Answers
The function that will have a horizontal asymptotes are function B, C and D
Horizontal asymptotes of a functionA function is said to have a horizontal asymptotes of the degree of the numerator is less or equal to that of the denominator.
From the rational expression given, the function A and E wil have no horizontal asymptotes since the power of the numerator is greater abd equal to the denominator,
The function that will have a horizontal asymptotes are function B, C and D
Learn more on horizontal asymptotes here: https://brainly.com/question/4138300
#SPJ1
Find the vertex, focus and diretrix of x^2+4x-12y=-64
It needs to be in (x-h)^2=4p(y-k) form
Answers
Vertex of the equation is (-2, 5)
Focus of the equation is (-2, 8)
Directrix of the equation is 2
What is a Quadratic curve?
A quadratic curve is a parabolic curve is a graph of the points which define a quadratic function. It shows how a function behaves in the cartesian plane.
Quadratic curve may bend upwards, or downwards depending on the gradient of the curve.
Analysis:
setting the equation in the form, [tex]x^{2}[/tex] +4x -12y = -64 in the form [tex](x-h)^{2}[/tex] = 4p(y-k)
Firstly we take -12y to the right hand side
[tex]x^{2}[/tex] +4x = 12y - 64
Making the left hand side a perfect square expression, we square both sides with -2
[tex]x^{2}[/tex] +4x + [tex](2)^{2}[/tex] = 12y -64 + [tex](2)^{2}[/tex]
[tex](x+2)^{2}[/tex] = 12y -60
[tex](x+2)^{2}[/tex] = 12(y - 5)
comparing with the other equation
-h = , h = -2, -k = - 5 k = 5, 4p = 12, p = 3
Vertex is (h, k) = (-2, 5)
Focus is (h, k+p) = (-2, 5+3) = (-2, 8)
Directrix is y = k-p = 5 - 3 = 2
Learn more about Quadratic curves: brainly.com/question/1214333
#SPJ1
the probability that an international flight leaving is delay in departing (event D) is .28. The probability that an international flight is a transpacific flight is (event P) is .55. The probability that an international flight leaving the U.S is a transpacific flight and delay is .13. What is the probability that an international flight leaving the United states is delay in departing given that the flight is a transpacific flight?
Answers
The probability that an international flight leaving the United states is delay in departing given that the flight is a transpacific flight is 0.7
What is probability?Probability describes the likelihood of an event happening. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not.
The chance of an event can be calculated using the probability formula by simply dividing the favorable number of possibilities by the total number of outcomes. The probability of an event occurring can be anything between 0 and 1, as the favorable number of outcomes can never exceed the total number of outcomes.
According to the question,
P(D)=0.28
P(P)=0.55
P(D∩P)=0.13
Thus, the required probability,
P(DUP)=P(D)+P(P)-P(D∩P)
=0.28+0.55-0.13
=0.70
Learn more about probability here:
https://brainly.com/question/24756209
#SPJ1
8.
Find the arc length of a central angle of 7pi/3 in a circle whose radius is
3inches
Answers
[tex]\textit{arc's length}\\\\ s = r\theta ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{7\pi }{3}\\ r=3 \end{cases}\implies s=(3)(\frac{7\pi }{3})\implies s=7\pi \implies s\approx 21.99~in[/tex]
D. 12:28
es 22. The label on a box of cereal states that it
contains 6 servings. If there are 7.5 cups in
the box, how many cups of cereal are there
per serving?
Answers
Which equation is represented by the graph below?
A. Y= 1/8e^x
B. Y= 1/2e^x
c. Y=2e^x
D. Y= 8e^x
#49
Answers
Answer:
B
Step-by-step explanation:
When x = 1, it appears y is in between 1 and 2.
The only choice that satisfies this is B.
Answer:
The equation that represents the graph is y=2e^x
Step-by-step explanation:
plug in geogebra and confirm:D
CAB SOMEONE HELP ME ASAP PLS
Answers
The shaded area for yellow is less than 1/5 of a circle, so the answer is the first one.
A ship leaves port on a bearing of 36.0° and travels 12.1 mi. The ship then turns due east and travels 6.1 mi. How far is the ship from port, and what is its bearing
Answers
The bearing angle exists 53.49°.
How to estimate the bearing angle of a ship?A bearing of 36° corresponds to the corresponding angle of
θ = 90 -36 = 54°
The (x, y) values for the position of the ship after achieving its first heading exist:
[tex]x_1[/tex] = 12.1 Cos 54° = 7.11 m
[tex]y_1[/tex] = 12.1 Sin 54° = 9.78 m
Our second displacement exists a simple 4.6 mi due east, that exists, the positive x-direction. The components exist therefore
[tex]x_2[/tex] = 6.1 mi
[tex]y_2[/tex] = 0 mi
To find the total displacement from the port, we'll add these two vectors' components and use the distance formula:
Δx [tex]= x_1+x_2[/tex]
= 7.11 mi + 6.1 mi = 13.21 mi
Δy [tex]=y_1+y_2[/tex]
= 9.78 mi + 0 mi = 9.78 mi
[tex]$r=\sqrt{(x_{total})^2+(y_{total})^2}[/tex]
[tex]=\sqrt{(13.21mi)^2+(9.78mi)^2}[/tex]
= 16.43 mi
The direction of the displacement vector exists given by
tan θ = Δy/Δx
θ = arc tan (Δy/Δx)
= arc tan (9.78/13.21)
= 36.51°
The question requested for the bearing angle, which exists just this angle subtracted from 90°:
90° - 36.51° = 53.49°.
Therefore, the bearing angle exists 53.49°.
To learn more about bearing angle refer to:
https://brainly.com/question/9865534
#SPJ9
Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation.
What are the values a, b, and c in the following quadratic equation?
Answers
In the given quadratic equation, - 3x² - 5x + 9 = 0, we have the values, a = -3, b = -5, and c = 9. Hence, option C is the right choice.
A quadratic equation is a polynomial of degree 2, in a single variable x.
The standard form of a quadratic equation is ax² + bx + c = 0.
The quadratic formula is used to find the solution(s)/root(s) of this equation.
The quadratic formula is:
[tex]x = \frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Thus, identifying the values of a, b, and c, is the first step in using the quadratic formula to find a solution(s)/root(s) to a quadratic equation.
In the question, we are asked to find the values of a, b, and c, in the given quadratic equation - 3x² - 5x + 9 = 0.
To find the values of a, b, and c, we compare the given equation, to the standard form of a quadratic equation, ax² + bx + c = 0.
On comparing, we get a is the coefficient of x², that is, a = -3.
On comparing, we get b is the coefficient of x, that is, b = -5.
On comparing, we get c is the constant term, that is, c = 9.
Thus, in the given quadratic equation, - 3x² - 5x + 9 = 0, we have the values, a = -3, b = -5, and c = 9. Hence, option C is the right choice.
Learn more about quadratic equations at
https://brainly.com/question/13583833
#SPJ1
The provided question is incomplete.
The complete question is:
"Identifying the values a, b, and c is the first step in using the Quadratic Formula to find solution(s) to a quadratic equation.
What are the values a, b, and c in the following quadratic equation?
- 3x² - 5x + 9 = 0
A. a = 5, b = 9, c = 0B. a = 3, b = 5, c = 9C. a = −3, b = −5, c = 9D. a = −5, b = 9, c = 0."true or false, [tex]\pi[/tex] only used to determine the area of a circle?
Answers
Which of the following equation(s) has/have slope zero?
a. x = 2
b.y = -3
c. y = 5x+2
d. x+ 5 = 0
O Both a and c
Only c
O Only b
O Both a and d
Answers
Answer:
b, only b
y = -3 has zero slope.
Step-by-step explanation:
Only a horizontal line has zero slope. A horizontal line's equation is given in the form: "y equals a number" So y=-3 is horizontal with zero slope.
Vertical lines have undefined slope. This is not the same as zero. Vertical lines have an equation in the form x= anumber. Above in the answer choices, choice a and d are both vertical with undefined slope and are not the correct answer. Choice c has slope 5, because that is the number beside the x in the form y=mx+b where m is the slope. So choice c is also not the answer.
Only choice b has zero slope.
Can someone help me with this plss
Answers
Answer:
6. Quadrant four
7. Quadrant three
8. Quadrant one
Step-by-step explanation:
These questions give you points to graph and then asks which quadrants they are graphed in. Here is a visual.
bryan brought 8/10 gallon of water on a hiking trip.he drank 4/10 gallon of water.how much water is left
Answers
The amount of water left is 4/10 gallons
Difference of fractionsFractions are written as a ratio of two integers
Given the following parameters
Amount of gallon bought = 8/10 gallons
Amount he drank = 4/10
Determine the amount left
Amount left = 8/10 -4/10
Amount left = 4/10 gallons
Hence the amount of water left is 4/10 gallons
Learn more on difference of fraction here: https://brainly.com/question/20323470
#SPJ1
Which of the following expressions does sin(x + y) - sin(x - y) simplify to?
O2(sin x)(sin y)
O2(sin x)(cos y)
O2(cos x)(cos y)
O 2(cos x) (sin y)
Answers
The answer choice which sin(x + y) - sin(x - y) simplifies to is; 2(cos x)(sin y).
Which of the following expressions does sin(x + y) - sin(x - y) simplify to?It follows from the task content that the expression given in the task content can be simplified by trigonometric identities as follows;
sin(x + y) - sin(x - y) = sinxcosy + cosxsiny - (sinxcosy -cosxsiny)
= 2cosxsiny.
Read more on trigonometric identities;
https://brainly.com/question/7331447
#SPJ1
Which statement most clearly shows an example of ethos? There is nothing more important than making sure everyone has access to a quality education. O Today, too many recent college graduates are struggling to secure a job in their field of study. O As the CEO of a major technology company, I am constantly making tough hiring decisions. O While a college education isn't everything, it does make a difference on a job application. Mark this and return Save and Exit Next Submit
Answers
The statement that most clearly shows an example of ethos is C. As the CEO of a major technology company, I am constantly making tough hiring decisions.
What is an ethos statement?An ethos statement establishes the credibility, knowledge, and good moral character of the speaker or writer.
The use of ethos is meant to sound fair or to demonstrate credibility, expertise, education, or pedigree.
Thus, an example of ethos is when this CEO claims they constantly make tough hiring decisions.
Learn more about ethos at https://brainly.com/question/13118125
#SPJ1
Sets J and F are defined as follows.
J= {c,e,f}
F={g,k,j}
Answer each part below. Write your answer in roster form or as 0.
Find the intersection of J and F.
FInd the union of J and F.
Answers
The value of J ∩ F = ∅
The value of J ∪ F = {c, e, f, g, k, j}
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Sets J and F are defined as follows;
J = {c, e, f}
F = {g, k, j}
Now,
Since, Sets J and F are defined as follows;
J = {c, e, f}
F = {g, k, j}
Hence, The value of J ∩ F = {c, e, f} ∩ {g, k, j}
= ∅
The value of J ∪ F = {c, e, f} ∪ {g, k, j}
= {c, e, f, g, k, j}
Thus, The value of J ∩ F = ∅
The value of J ∪ F = {c, e, f, g, k, j}
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
average person burns approximately 221 calories per half-hour while bicycling. If a person does 2 hours of bicycling per day then how many calories will they burn in a week if they work out 5 days a week?
Answers
Explaining:
221 every half hour
To find every hour you times it by 2 which equals to 442
1 hour = 442
2 hours = 442 times 2
2 hours= 884
To find how much a week you times it by 5
884 times 5
Equals to 4420 cals a week
what is the equation for -2(5x+8)
Answers
Answer:
Step-by-step explanation:
-10x-16
Answer:
distribute the -2 so your answer is -10x-16
Step-by-step explanation:
Write the measure of minor arc CE as the sum of the measures of minor arcs.
Answers
= 2pir
= 2(3.142)(4)
= 25.1327412 cm
Minor arc CE
= 1/4(2)(3.142)(4)
= 6.28318531 cm
Hope it helps : )
Find the product of 2.1n(6n + 3.4).
12.6n + 3.4
8.1n + 3.4
8.1n2 + 7.14n
12.6n2 + 7.14n
Answers
a map has a scale of 2in: 6mi. if a two twons on a map is 10 in apart then how far apart are the real twons
Answers
Answer: 30 miles
Work Shown:
2 in : 6 mi
5*2 in : 5*6 mi
10 in : 30 mi
Which algebraic expression is equivalent to the expression below 5(5x + 7) - 6 (4- 2x)
Answers
The algebraic expression equivalent to the expression 5(5x + 7) - 6 (4- 2x) is 37x + 11.
What is the equivalent of the expression?Given the expression; 5(5x + 7) - 6 (4- 2x)
We expand and collect like terms.
5(5x + 7) - 6 (4- 2x)
25x + 35 -24 + 12x
We collect like terms
25x + 12x + 35 - 24
37x + 11
Therefore, the algebraic expression equivalent to the expression 5(5x + 7) - 6 (4- 2x) is 37x + 11.
Learn more about algebraic expression here: brainly.com/question/13947055
#SPJ1
The nurse must give a patient 9 milligrams of a medication. If the tables are 2 milligrams each, how many tablets are needed?
Answers
Answer:
4.5 tablets.
Step-by-step explanation:
We just divide 9 by 2.
13. The tablets needed is 4 and a half.
14. There are 10 half-gram doses available from the 5 gram vials of medication.
15. Pat's heart beats approximately 58.5 times in 3/4 of a minute.
Given are words problems based on the mixed numbers:
13. To determine the number of tablets needed, we divide the total dosage required by the dosage per tablet.
In this case, the nurse needs to administer 9 milligrams of medication, and each tablet contains 2 milligrams.
So, the number of tablets needed is:
9 milligrams / 2 milligrams per tablet = 4.5 tablets
Hence, the tablets needed is 4 and a half.
14. If the pharmacy has 5 gram vials of medication, we can calculate the number of 1/2 gram doses available by dividing the total amount of medication by the dose size.
The total amount of medication in grams is 5 grams.
To find the number of 1/2 gram doses available, we divide the total amount of medication (5 grams) by the dose size (1/2 gram):
5 grams / (1/2 gram) = 5 grams x (2/1 gram)
= 5 x 2 = 10 doses.
Therefore, there are 10 half-gram doses available from the 5 gram vials of medication.
15. To calculate how many times Pat's heart beats in 3/4 of a minute, you can use a simple proportion:
1 minute = 78 beats
3/4 minute = ? beats
Let's solve for the number of beats in 3/4 of a minute:
Number of beats in 3/4 minute = (3/4) x 78
= 0.75 x 78
= 58.5
So, Pat's heart beats approximately 58.5 times in 3/4 of a minute. Since you can't have half a heartbeat, the closest whole number is 58 beats.
Learn more about Mixed Numbers click;
https://brainly.com/question/24137171
#SPJ4
Does this graph represent a function? Why or why not?
Answers
Reason - it proves one output, y, for each unique input, x.
Choose the equation that matches
the graph.
a.y = 3x - 2
b. y = 3x-2
c. y = 3x+2
d. y = 3x + 2
e. y = (1/3)x-2
Answers
Answer:
it matches with equation a
ASAP PLEASE
Which point us the coordinate of the image of A under the transformation [0 1 1 0]
(-2,4)
(2,4)
(4,2)
(-4,-2)
Answers
Answer:
Step-by-step explanation:
(4, 2)
will you brainlyest?
In the following diagram, line m is parallel to line n and line q intersects the parallel lines at
Answers
Answer:
108°
Step-by-step explanation:
We know for a theorem that A = B, so:
4x + 28 = 2x + 68
Isolating the x:
2x = 40
x = 20
Now let's plug in the equation for A:
4(20) + 28 = 108°
IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
Answers
Answer: A = JIH
B = GJH
C = GH
D = 300
E = 60
Step-by-step explanation:
A) <JIH is a inscribed angle
B) GJH is a major arc
C) GH is a minor arc
D) m GH = m<GFh = 60
At some department store, all suits are reduced 20% from the retail price. If a man purchased a suit that originally retailed for 231.20 how much did he save?
Answers
well, we know the suits are all reduced by 20%, so the man saved 20% of 231.20
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 231.20}}{\left( \cfrac{20}{100} \right)231.20}\implies 46.24[/tex]