Answer:
Step-by-step explanation:
smaller x = -9
larger x = -8
vertex =
(-17/2, -1/4)
4) The path of a satellite orbiting the earth causes it to pass directly over two
tracking stations A and B, which are 60 km apart. When the satellite is on one side of
the two stations, the angles of elevation at A and B are measured to be 86.4 ° and
85 °, respectively.
Find how far the satellite is from station A and how high the satellite is above the
ground. Round your answers to 2 decimal places.
Answers:
Satellite is approximately 2446.43 km from station A.Satellite is approximately 2441.61 km above the ground.=========================================================
Explanation:
I'm assuming tracking stations A and B are at the same elevation and are on flat ground. In reality, this is likely not the case; however, for the sake of simplicity, we'll assume this is the case.
The diagram is shown below. Points A and B describe the two stations, while point C is the satellite's location. Point D is on the ground directly below the satellite. We have these lengths
AB = 60 kmAD = xCD = hFocusing on triangle ACD, we can apply the tangent rule to isolate h.
tan(angle) = opposite/adjacent
tan(A) = CD/AD
tan(86.4) = h/x
x*tan(86.4) = h
h = x*tan(86.4)
We'll use this later in the substitution below.
--------------------
Now move onto triangle BCD. For the reference angle B = 85, we can use the tangent rule to say
tan(angle) = opposite/adjacent
tan(B) = CD/DB
tan(B) = CD/(DA+AB)
tan(85) = h/(x+60)
tan(85)*(x+60) = h
tan(85)*(x+60) = x*tan(86.4) ............. apply substitution; isolate x
x*tan(85)+60*tan(85) = x*tan(86.4)
60*tan(85) = x*tan(86.4)-x*tan(85)
60*tan(85) = x*(tan(86.4)-tan(85))
x*(tan(86.4)-tan(85)) = 60*tan(85)
x = 60*tan(85)/(tan(86.4)-tan(85))
x = 153.612786190499
--------------------
We'll use this approximate x value to find h
h = x*tan(86.4)
h = 153.612786190499*tan(86.4)
h = 2441.60531869599
h = 2441.61 km is how high the satellite is above the ground.
Return to triangle ACD. We'll use the cosine rule to determine the length of the hypotenuse AC
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AC
cos(86.4) = x/AC
cos(86.4) = 153.612786190499/AC
AC*cos(86.4) = 153.612786190499
AC = 153.612786190499/cos(86.4)
AC = 2446.43279498247
AC = 2446.43 km is the distance from the satellite to station A.
The perimeter of a rectangular backyard is 146 feet. It is 40 feet long. How wide is it?
9514 1404 393
Answer:
33 ft
Step-by-step explanation:
The perimeter formula for a rectangle is ...
P = 2(L +W)
Filling in the given numbers, we have ...
146 = 2(40 +W)
73 = 40 +W . . . . . . . divide by 2
33 = W . . . . . . . . . . . subtract 40
The backyard is 33 feet wide.
What number is 36% of 3.18
Answer: Percentage of 36% of 3.18 = 1.1448
Write an equation in slope intercept form force ach trend line
Answer:
Question 5: y = - [tex]\frac{1}{3}[/tex]x + 6
Question 6: y = [tex]\frac{25}{2}[/tex]x + 100
Question 7: y = -10x + 45
Identify the value of x that makes each pair of ratios
equivalent.
5:15 and x:3 (1 point)
A.5
B.3
C.1
5) Jim is hoping that a park will be built
within 5 mi of his house. If a park is
built at the coordinates (12, 10), does
that meet Jim's criteria? Explain.
Answer:
Step-by-step explanation:
Somebody help me please....Make it right..
Answer : 4/15
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
2/15, 1/5, 4/15, 1/3
Get a common denominator
2/15, 3/15, 4/15, 5/15
We are adding 1/15 each time
The next term would be 6/15 which simplifies to 2/5
Cost of meal for 3 at Olive Garden Restaurant with the tax is $54.
How much would a 15% tip be for the waiter? (Round your answer to the nearest dollar amount.) PLEASE HELP
me need help on math plz help
Answer:
4 ;)
Step-by-step explanation:
78/75=1.04
Answer:
It would be A
explanation:
the reson why it is A because it is closest to 3%
your welcome
A barrel has 15 liters of water. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurements is closer to the number of fluid ounces in 15 liters
Answer:
Step-by-step explanation:
There are approximately 29.6 milliliters in 1 fluid ounce. W… ... Which measurement is closest to the number of fluid ounces in 3 liters ? A. 89 fl ... We have been that some doctors recommend that men drink 3 liters of water every day . There ... Use that information to find the product of 7/8 x 40 for 15 points.
A number m is no less than –1 or less than or equal to −5.
Answer:
-1 < m ≤ - 5
Step-by-step explanation:
Your expression includes: m, -1, -5, >, ≤
m is the value being compared so it will be in the middle.
# sign m sign #
m is no less than -1: no less than means it is greater than -1, but does not include -1. Therefore, our sign is >
m > -1
m is less than or equal to -5. This means we use ≤ because it can equal -5.
m ≤ -5
Now combine the two expressions
m > -1 – This can also be written as -1 < m.
m ≤ -5
-1 < m ≤ - 5
The diameter of a circle is 8 meters. What is the circle's circumference?
Answer:
25.13 square meters
Step-by-step explanation:
The formula for finding the circumference of a circle is πd or pi times the diameter
Diameter = 8 meters
Pi = 3.14
3.14 times 8 = 25.13
The hypotenuse of a right triangle is 78 feet. One of the legs of the triangle is 30
feet. What is the measurement of the missing side? *
Answer:
b=72
Step-by-step explanation:
Please help I just need to finish these questions
Answer:
C
Step-by-step explanation:
Not integer, irrational
Which figures are polygons select each correct answer
2x² + 5x - 42 = 0 * PLEASE SHOW YOUR WORK *
Answer:
x = - 6, x² = [tex]\frac{7}{2}[/tex]
Step-by-step explanation:
[tex]2x^{2}[/tex] + 12x - 7x - 42 = 0
2x^{2} (x + 6) - 7 (x + 6) = 0
(x + 6) x (2x - 7) = 0
x + 6 = 0
2x - 7 = 0
x = - 6
x = [tex]\frac{7}{2}[/tex]
x = - 6, x² = [tex]\frac{7}{2}[/tex]
How did ancient camels differ from those of today?
Answer:
They Don't
Step-by-step explanation:
Solve for θ or x, round to the nearest tenth. I will mark brainliest if its correct!
please answer my question as soon as possible
Step-by-step explanation:
<QPR=<PRS (BEING ALTERNATE ANGLE)
<PRS=65
THEN,
45+65+<SRT=180
<SRT=70
PLEASE HELP, pictures with for it, and you us waste it ill report you
Answer:
it is C the 4
Step-by-step explanation:
-6 to pos 4
Which table could represent a function?
input -5 -4 -3 -2 -1
output 0 1 2 3 4
input 4 3 2 3 1
output 10 9 12 15 2
input -8 -6 -4 -2 -8
output 1 -1 1 -1 -1
input 10 20 30 20 10
output -10 -20 -30 20 10
Answer:
First option
Step-by-step explanation:
If each input value leads to only one output value, classify the relationship as a function.
Answer:
input -5 -4 -3 -2 -1
output 0 1 2 3 4
Step-by-step explanation:
can i have some help pls on this question i have loads
The circumference of a circle is 9.61cm.
Find the length of the diameter.
Give your answer rounded to 2 DP.
Answer:
Enter the width of the longest long axis, AB, and the length of the longest short axis, CD. Then, click on Calculate. The circumference is in whatever designation of units you have used for the entries. The formula is PI * SquareRoot of 2 * ((1/2 long axis)squared + (1/2 short axis)squared).
Step-by-step explanation:
jayfeather friend me
3.06
Answer:
3.06 i think
Step-by-step explanation:
NEED HELP ASAP ILL GIVE BRAINLIST
What is the area of the circle below?
A
5.64 square meters
B
7.85 square meters
C
15.7 square meters
D
19.625 square meters
Answer:
I think it is C
Step-by-step explanation:
whats 4 2/5 x 1 1/2 pls help
Answer:
33/5 or 66/10
Step-by-step explanation:
First convert 4 2/5 and 1 1/2 into a improper fraction.
4 2/5 = 22/5 ; 1 1/2 = 3/2
Then multiply
66/10
And simplify
33/5
Need help ASAP
which point could represent 5 over 3?
Answer:
I think D, I am not sure though
Step-by-step explanation:
Answer:
5/3 is 5÷3 = 1.666666. point C is closest to 1.67.
Use distributive property to rewrite expression -8((-2-3/4)-8)
AB=
Round your answer to the nearest hundredth.
A
20
?
B
3
C
Answer:
AB= 8.77
AC= 8.24
angle a= 70
I WILL GIVE YOU 20 POINTS AND MAKE YOU THE BRAINIEST, IF YOU ANSWER THIS CORRECTLY!!!!
The lengths of the diagonals of a rhombus are 4x and 6x. What expression gives the perimeter of the rhombus?
Answer:
Expression gives the perimeter = 4x√17
Step-by-step explanation:
∵ The diagonals of the rhombus ⊥ to each other and
bisects each other
∴ Half the longest diagonal = 8x/2 = 4x
∴ Half the shortest diagonal = 2x/2 = x
Use Pythagoras theorem to find the length of the side of the rhombus
∴ The length of the side = √[(4x)² + (x)²] = √[16x² + x²] = √(17x²)
∴ S = x√17
∵ Perimeter of the rhombus = 4 × S
∴ P = 4 × x√17 = 4x√17
Answer:
the correct answer is 4x✓13.
Help please I don't get how to do this
Answer:
15:5 = 18:6 = 21:7
The scale factor is 1/3 or 0.33.
Step-by-step explanation:
20*20 PLZ
CAUSE THIS WORK IS HARD AND IM IN THE 3RD GRADE
Answer:
400
Step-by-step explanation:
so the question is 20 times 20. This problem means you are doing 20, 20 times. Since you are in 3rd grade I will use the counting meathod. So to do this you need to count starting at 20 by 20 20 times.
20 40 60 80 100 120 140 160 180 200 220 240 260 280 300 320 340 360 380 400.
As you can see the answer is 400. I started at 20 and I consistently counted by 20. Also I did it 20 times. I did this because the problem says to do 20, twenty times.
