Answer:
b
Step-by-step explanation:
Write an inequality that says a number is at least 5
Answer:
n≥5
Step-by-step explanation:
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.
Any one help please
Answer:
1: male + female [tex]\leq[/tex] 30
2: 140 + 25x [tex]\geq[/tex] 550
Step-by-step explanation:
If you answer both questions properly I might give you the brainlies
Answer:
32
Step-by-step explanation:
Picture attached on the file
Answer:
89/3
Stp/lanation:
ill give top if u answer correct
Which other expression has the same value as (-14)-(-8)
Answer choices:
(-14)+8
14-(-8)
14+(-8)
(-14)+(-8)
Answer:
the last one (-14)+(-8)
Step-by-step explanation:
-14 - -8 any time you have minus a negative it's a + sign
so
-14+8 therefore it's the first one.
14. Shawn usually sells umbrellas for $20. On rainy days, he sells them for
30% more. What is the cost on a rainy day of buying a new umbrella? *
$14
$26
O $6
O $30
Answer:
$26
Step-by-step explanation:
Joe borrowed $9,000 from the bank at a rate of 7% simple interest per year. How much interest did he pay in 7 years?
Answer:
4410
Step-by-step explanation:
7% simple interest per year for 7 years so 7x7=49
49 % to pay overall so type 49% x 9,000=4410
write the equation of a line from the graph
Answer:
you take the graphs information and you write it in an equation.
Step-by-step explanation:
you take the graphs information and you write it in an equation.
The product of
two integers is – 24. The difference
between the two integers is 14. The sum of
the two integers is 10. What are the two
integers?
Answer:
a= 12
b=-2
Step-by-step explanation:
12 x -2 = -24
12 - (-2) = 14
12 + (-2) = 10
The two integers are 12 and -2.
What are simultaneous equation?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Let x and y be the two integers.
So it is given that,
Product of two integers = – 24
⇒ xy = - 24 ....(i)
The difference between the two integers = 14
⇒ x - y = 14 ...(ii)
The sum of the two integers = 10
⇒ x + y = 10 ....(iii)
Now adding equation (ii) and (iii) we get,
2x = 24
⇒ x = 12
Putting the value of x in equation (i) we get,
12y = - 24
⇒ y = - 2
So the required integers are 12 and - 2.
To learn more about simultaneous equation:
https://brainly.com/question/17726417
#SPJ2
What are the roots of the equation?
102
Convert 9 cubic meters into cubic feet. Round your answer to the nearest whole number.
Answer:
318ft³
Step-by-step explanation:
The specific formula conversion for an APPROXIMATE answer would be to multiply the m^3 by 35.315 to get ft^3.
how do you graph x+ 4
Which operation should go in the blue spot to make this equation true?
-18
-3/4 = 24
оа
Ob
Ос
Muliplication
Division
Addition
Answer:
Multiplication (Option A)
Step-by-step explanation: Please brainliest if correct!
Step-by-step explanation:
help me pls i need this answered
Answer:
[tex]-\frac{4}{3}[/tex]
Step-by-step explanation:
[tex]-3 \frac{3}{5}[/tex] ÷ [tex]2 \frac{7}{10}[/tex]
Convert both mixed numbers to an improper fraction. This can be done by multiplying the denominator by the "number" part of the mixed number, then adding the result to the numerator.
[tex]- \frac{18}{5}[/tex] ÷ [tex]\frac{27}{10}[/tex]
Now divide the fractions, to divide the fractions, one will find the reciprocal of the recond fractions, and then multiply it by the first fractions. Remember, the reciprocal of a fraction is when one switched the numerator and denominator of a fraction.
[tex]-\frac{18}{5} * \frac{10}{27}[/tex]
[tex]= -\frac{180}{135}[/tex]
Simplify;
= [tex]-\frac{4}{3}[/tex]
Two numbers have an HCF of 84 and an LCM of 4620. Both numbers are larger than the
HCF. Find the two numbers.
Answer:
420 & 924
Step-by-step explanation:
hope it helps!
...
Quien responda la operación se lleva 100 puntos en mi otra cuenta
Answer:
no me acuerdo
Step-by-step explanation:
sorry
Answer:
13.824
aclaracion: eso que esta al lado del signo de multiplicacion es 4 verdad?
en caso de que en realidad sea un 1 la respuesta es
0.216
56 + (- 56)
Please needed as possible
Answer:
0
Step-by-step explanation:
56-56=0
Answer:
0
Step-by-step explanation:
if you add than subtract in an equation like that, just ignore the addition and subtract.
Sally puts $2,500 in a bank account. She takes it out 10 years later and with interest, now has $4,100. What is the percent change?
Answer:
The percentage increase is 64%
Step-by-step explanation:
Answer:The percentage increase is 64%
Step-by-step explanation:
-4M = 48 What would you do to each side of the equation?
Pls responddd
Answer:
divide by - 4
Step-by-step explanation:
Given
- 4M = 48 ( isolate M by dividing both sides by - 4 )
M = - 12
The graph of which of the following would show a linear relationship?
a) The number of roses ordered from February 1st to February 28th recorded daily.
b) The distance covered by a motorcycle going across Grandfather Mountain recorded every 10 minutes.
c) The appropriate number of candles on a person's birthday cake recorded yearly
d) The number of bathing suits bought from January to December recorded monthly
e) Delivery of new textbooks from March to October recorded monthly.
Answer:
C)
Step-by-step explanation:
Since the person will have a consistent amount of candles (20y - 20 candles, 25y - 25 candles) that means it's a linear equation.
What is 6 divided by 1/8?
Answer:
48
Step-by-step explanation:
Answer:
48 because i divided it
Explain in 1-2 sentences how you identify
proportional relationship
using a table or graph.
PLEASE helpppp
Answer:
You can tell because, as x increases/decreases, y increases/decreases at the same rate EACH TIME. This way, no matter how many times the proportions increase OR decrease, the ratio between x and y always stays the same.
(2x + 3) + (x + 1)
help
Martina is currently 14 years older than her cousin Joey. In 3 years she will be 3 times as old as Joey. Use this
Information to answer the following questions
Answer:
Step-by-step explanation:
Your answer
Assume Joey is x, Martina is y
According to 1st condition.
Eq 1. Y = x + 14
According to 2nd condition
Eq2. (Y+3)= 3(x+3)
Put value of y in eq 2,,,,,,,, x = 4
Put value of x in eq 1. ,,,,,,,,, y = 18
Mark it as Brainlist answer. Follow me.
Twice the sum of three times a number and eight translate this plz
Answer:
3 x X + 8 x 2 is your expression
I'm pretty sure the key word "and" means addition so your adding 8.
Answer the question in the picture.
Answer:
4
Step-by-step explanation:
have a nice day
just answer number 5 pls
Step-by-step explanation:
hope that helps . the process is shown in the above picture.
Anna hiked 95/8 miles in 23/4 hours. How fast did she walk overall?
A) 31/2 miles per hour
B) 31/4 miles per hour
C) 31/3 miles per hour
D) 35/3 miles per hour
Step-by-step explanation:
Your answer is right here...
The ABC Book Club charges a $40 monthly fee, plus $2 per book read in that month. The Easy Book Club charges a 35$ monthly fee, plus 3$ per book read in that month. For each club, how many books must be read in 1 month for the total charges from each club to be equal.