Answer:
El piloto debe virar a 87.7° en la ciudad C para regresar a la ciudad A.
Step-by-step explanation:
Podemos encontrar el angulo que debe virar el piloto en la ciudad C para regresar a la ciudad A usando el Teorema del coseno:
[tex] (AC)^{2} = (AB)^{2} + (BC)^{2} - 2(AB)(BC)cos(50) [/tex]
[tex] (AC)^{2} = (150 mi)^{2} + (100 mi)^{2} - 2(150 mi)(100 mi)cos(50) [/tex]
[tex] (AC) = 115 mi [/tex]
Ahora podemos encontrar el ángulo entre los puntos C y A (AC) usando la ley de los senos:
[tex] \frac{sin(50)}{AC} = \frac{sin(\alpha)}{AB} [/tex]
[tex] \frac{sin(50)}{115 mi} = \frac{sin(\alpha)}{150 mi} [/tex]
[tex] \alpha = 87.7 [/tex]
Por lo tanto, el piloto debe virar a 87.7° en la ciudad C para regresar a la ciudad A.
Espero que te sea de utilidad!
El piloto debe virar con un ángulo de 61° 42' 12'' para regresar a la ciudad A.
Dado que un avión vuela desde la ciudad A hacia la ciudad B, a una distancia de 150 millas, y después vira con un ángulo de 50° y se dirige hacia la ciudad C, a una distancia de 100 millas, para determinar con que ángulo debe virar el piloto en la ciudad C para regresar a la ciudad A se debe realizar el siguiente cálculo, aplicando las teorías del seno y el coseno:
Lado A = 150Lado B = 100Lado C = ???Angulo B = 50√(150² + 100² - 2 x 150 x 100 x cos 50) = Lado C√(22500 + 10000 - 19283.62) = Lado C√13216.3717094 = Lado C114.96 = Lado CSen C/114.96 = Sen 50/100Sen C = (114.96 x Sen 50) /100Sen C = 0.8806C = 61,72100 = 6072 = X72 x 60 / 100 = X42,2 = X100 = 60 20 = X20 x 60 / 100 = X12 = X61° 42' 12'' = Ángulo CPor lo tanto, el piloto debe virar con un ángulo de 61° 42' 12'' para regresar a la ciudad A.
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the width of a rectangle is 2 in less than its length the area is 24 square inches find the dimensions of the rectangle
Answer:
6,4
Step-by-step explanation:
Create a system of equations
l-2=w
w*l=24
Substitute
l-2*1=24
l=6
6-2=4
w=4
Dimensions of the rectangle are 6inch and 4 inch.
What is rectangle?
"Rectangle is a quadrilateral whose all angles are right angle and opposite sides are parallel and equal in measurement."
What is dimensions?" Dimension is measurement of any object such as length, width and height of any object."
What is area?"Area is a space occupied by an object."
Let 'l' be the length of the rectangle.
According to the question,
Width = l - 2
Area= 24 square inches
Formula used
Area of a rectangle = length x width
[tex]24 = l[/tex] × [tex](l-2)[/tex]
⇒[tex]24[/tex] = [tex]l^{2} -2l[/tex]
⇒ [tex]l^{2} -2l -24=0[/tex]
⇒[tex]l^{2} -6l+4l -24 =0[/tex]
⇒[tex]l(l-6) +4(l-6) =0[/tex]
⇒[tex](l-6)(l+4) =0[/tex]
⇒[tex]l=6[/tex] or [tex]l= -4[/tex]
length cannot be negative.
Therefore, [tex]l=6[/tex]inch
⇒width = [tex]6-2[/tex]
⇒ width = 4 inch
Hence the dimensions of the rectangle are 6inch and 4 inch.
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which number line represents the solution to the inequality (will make brainliest) pls help
Answer:
C
Step-by-step explanation:
because the solution dors not include -3 but everything less than.
**65 POINTS PLEASE ANSWER SOON**
If the fourth term of an Arithmetic sequence is 48 and the third term is 36...
(A) What is the first term?
(B) What is the twelfth term?
Answer:
1st term is 12
12th term is 144
Step-by-step explanation:
48-36=a4-a3=a1 so a1 is equal to 12 now to get from a3 to a4, you must add 12, so d=12.
a12=12+11*12=12+132=144
The price of a necklace was reduced from $30 to $21. By what percentage was the price of the necklace reduced
Answer:
= 30% decrease
can anyone help me with (a) please 50 points and brainliest
Answer:
8
Step-by-step explanation:
Two Pythagorean triples are (6, 8, 10) and (8, 15, 17)
Both of these right triangles share a common side, 8. While the hypotenuses are 10 and 17.
The other side must add up to 21, which 15 and 6 do.
You are shopping and find a coat that is on sale for 30% off . It is regularly priced at $80 . Your friend tells you that she saw the same coat for $ 80 in another store, but it was 20 % off plus an additional 10% off . Will you save money by going to the other store ? Explain why or why not .
You are shopping and find a coat that is on sale for 30% off . It is regularly priced at $80 . Your friend tells you that she saw the same coat for $ 80 in another store, but it was 20 % off plus an additional 10% off . Will you save money by going to the other store ? Explain why or why not .
Answer:
No
Step-by-step explanation:
Because if the coat is 20% with an additional 10% off that would equal 30% which is equal to the 30% off at the current store so they're both giving out the same deal
Answer:
No, because %30 is taking more off a higher number. Rather than only taking %20 off of it than the %10 is taking off an amount on a smaller amount resulting in it taking off less.
Step-by-step explanation:
$80 * 0.3 (%30) = $24
$80 - $24 = $56
$80 * 0.2 (%20) = $16
$80 - $16 = $64
$64 * 0.1 (%10) = $6.4
$64 - $6.4 = $57.6
PLEASE HELP!!!!! Which graph represents the solution to this set of inequalities?
TYSM! :)
(A,B,C,or D??)
Answer:
a is the answer
Step-by-step explanation:
.......................
PLEASE I need this ASAP I beg you someone help
Answer:
UH, id say B
Step-by-step explanation:
you are right the answer is a.
Help pls ASAP
The population of rabbits in a local park reserve can be modeled by the function r(x) = 25250(1.08), where t represents the number of years.
Which statement is true based on the function?
Answer:
Step-by-step explanation:
Answer:D
Step-by-step explanation:
HELP ME ASAP PLEASEE
Answer:
true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
Start by narrowing the equasions down, add all the numbers together:
1s + 1s + 1s + 1s = 4s
4s = 4s
Both equasions are equivelent to 4s, so the answer would be True.
If you had trouble understanding that, here is another way:
First lets set a control number for s, like 3. then we are going to place the control into the equasion:
1(3) + 1(3) + 1(3) + 1(3)
4(3)
Now solve:
1(3) + 1(3) + 1(3) + 1(3) = 12
4(3) = 12
Both equasions are equivelent to 12, so the answer would be True, they are equivelent.
heat can be produced by - two things
HELP YALL I DIDNT STUDY
Which expression is equivalent to -2(9y-3)
a) -18y + 6 c) -18y -3
b) -18y - 6 d) 18y + 6
Answer:
a. -18y+6
Step-by-step explanation:
i hope this helps :)
HELPP MEE PLEASEEEE!!!
Answer:
1) 2
2) -2
3) -8
4) -2
Hope this helps!
On a particular flight, the airline's income was $95,280 for a jumbo jet carrying 290 passengers. If a first-class ticket costs $680 and a coach ticket costs $288, how many of each ticket were sold for the flight?
Answer:
30 first-class tickets were sold and 260 coach tickets were sold.
Step-by-step explanation:
Let a first-class ticket be represented by f and let a coach ticket be represented by c.
On a particular flight, a jumbo jet was carrying 290 passengers. So, the sum of the first-class tickets and coach tickets must sum to 290:
[tex]f+c=290[/tex]
The total income was $95,280. Therefore:
[tex]680f+288c=95280[/tex]
We can now solve the system of equations. First, we can simplify the second equation by dividing everything by 8:
[tex]85f+36c=11910[/tex]
From the first equation, we can subtract f from both sides:
[tex]c=290-f[/tex]
Substitute:
[tex]85f+36(290-f)=11910[/tex]
Distribute:
[tex]85f+10440-36f=11910[/tex]
Simplify:
[tex]49f=1470[/tex]
So:
[tex]f=30[/tex]
From the previous equation:
[tex]c=290-f[/tex]
Substitute:
[tex]c=290-30=260[/tex]
30 first-class tickets were sold and 260 coach tickets were sold.
True or false: This is a linear function.
Answer:
True
Step-by-step explanation:
1. The table shows values of a function . What is the average rate of change of over the interval from x = 5 to x = 10? Show your work.
Answer:
increases by 1 each time
Step-by-step explanation:
3, 4, 5
choose 3 points as inputs to plug into the equation and show your work to find the output. y=x^2 -1
Answer:
(0,-1), (1,0), (2,3)
Step-by-step explanation:
The input values are your x values.
The output values are your y values.
So, we are going to plug in x to get y.
1. Let's plug in 0 for x.
[tex]y=0^{2} -1[/tex]
[tex]y=0-1[/tex]
[tex]y=-1[/tex]
Our first point is located at (0,-1)
2. Let's plug in 1 for x.
[tex]y=1^{2} -1[/tex]
[tex]y=1-1[/tex]
[tex]y=0[/tex]
Our second point is located at (1,0)
3. Let's plug in 2 for x.
[tex]y=2^{2} -1[/tex]
[tex]y=4-1[/tex]
[tex]y=3[/tex]
Our third point is located at (2,3)
All done! Hope you got a better example from my explanation!
Our buyer client Heather just signed a purchase agreement for a $520,000 home. The LTVR is 60%. How much is Heather putting down on the purchase?
Thomas runs 1200m with a constant velocity of 8ms-' before jogging for
the next 200 seconds at a constant velocity of 2ms",
Draw accurate displacement/time & velocity/time graphs for this
run. Draw these directly underneath each other,
Step-by-step explanation:
only attached the displacement/time graph
32 cookies were shared equally between 6 children. Their mom gave them 2 more cookies each. How many cookies does each child have now?
Help me please....................
Answer:
I think it is 3/4 I don't know
PLZ HELP DUE TODAY ILL MARK BRAINLIEST IF U GIVE AN EXPLANATION
What is the area of the shaded region of the right triangle below?
A. 25 m
B. 353 m
C. 225 m
D. 15 m
Answer: x = 15
Step-by-step explanation:
Answer:
C. 225 m
Step-by-step explanation:
Through observation, you can see the first side of the triangle is 8 and the hypotenuse is 17.
From here, you can use the Pythagorean theorem to find x.
Pythagorean theorem: a² + b² = c²
(with a and b being side lengths, and c being the hypotenuse length)
So, if you plug your values in, you get: x² + 8² = 17²
Next, solve for x:
x² + 8² = 17²
x² + 64 = 289
x² = 225
x = 15
Now that you have x you can solve for the area of the shaded region, which would be base time height, or 15 × 15.
You should get 225 m as your final answer.
Last month, Margo bought a tree that grows 2.5 \text{ cm}2.5 cm2, point, 5, start text, space, c, m, end text each day. It was 5 \text{ cm}5 cm5, start text, space, c, m, end text tall when she bought it and now it is 65 \text{ cm}65 cm65, start text, space, c, m, end text tall.
Answer:
equastion: 5+2.5d=65
days: 24
Step-by-step explanation:
got it right on khan, sorry if late
Which of the following is the value for x?
Answer:
67
Step-by-step explanation:
can someone please help
Answer:
They are congruent.
Step-by-step explanation:
They both are the same shape and size. The side with one line is the same on the other. The side with two lines also matches the other triangle. Lastly, they both have an angle in the same place
Solve for r 4/r 5/7
if BCD ~ BEF, which is closest to the value of y
Answer:
C. 16.9Step-by-step explanation:
Corresponding parts of similar figures are proportional:
y/8 = (10 + 9)/9y = 8*19/9y = 16.88 ≈ 16.9Correct choice is C
Li’s family is saving money for their summer vacation. Their vacation savings account currently has a balance of $2,764. The family would like to have at least $5,000. Which inequality can be used to determine the amount of money the family still needs to save? 2764 + x > 5000 2764 + x Greater-than-or-equal-to 5000 2764 + x Less-than-or-equal-to 5000 5000 + x > 2764
Answer:
B. 2764 + x Greater-than-or-equal-to 5000
Step-by-step explanation:
A. 2764 + x > 5000
B. 2764 + x Greater-than-or-equal-to 5000
C. 2764 + x Less-than-or-equal-to 5000
D. 5000 + x > 2764
Current balance of their account = $2,764
They need a balance of at least $5,000
At least in inequality means greater than or equal to
Let x = remaining balance to make at least $5,000
The inequality is
2764 + x greater than or equal to 5,000
The answer is B. 2764 + x Greater-than-or-equal-to 5000
The inequality that can be used to determine the amount of money she still needs to save is x ≥ $5000 - $2,764.
What inequality can be used to represent the amount that still needs to be save?The following are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toThe inequality sign to be used is ≥.
The amount that still needs to be saved: x ≥ $5000 - $2764
To learn more about inequality, please check: https://brainly.com/question/5031619
2^4 - 2^3 + (2^2) simplify
The answer is 12
Hoped I help :)