A plane at an altitude of 7000ft is flying in direction of an island. If they angel of depression is 21 from the plane to the island, what is the horizontal distance until the plane flies over the island?
Answer:
The horizontal distance until the plane flies over the island is 2687ft
Step-by-step explanation:
An illustrative diagram of the scenario is shown in the attachment below.
P is the position of the plane, I indicates the position of the island and G is point on the ground such that /PG/ is perpendicular to the ground.
From the diagram, the horizontal distance from the plane to the island is x.
x = /IG/
In the diagram, consider triangle PIG which is a right angle triangle.
/PI/ is the hypotenuse
/IG/ is the opposite
and /GP/ is the adjacent.
From the formula,
[tex]tan\theta = \frac{opposite}{adjacent}\\[/tex]
∴ [tex]tan\theta = \frac{/IG/}{/GP/}\\[/tex]
[tex]tan\theta = \frac{x}{/GP/}\\[/tex]
∴ [tex]x = /GP/ tan\theta[/tex]
From the diagram
/GP/ = 7000 ft and [tex]\theta = 21[/tex]
∴ [tex]x = 7000 \times tan21\\[/tex]
[tex]x = 2687.05 ft[/tex]
[tex]x[/tex] ≅ 2687 ft
Hence, the horizontal distance until the plane flies over the island is 2687ft
HELP PLEASEEEE<3!!!!
Answer:
a = b = 40°
Step-by-step explanation:
∠ a and 140° are adjacent and are supplementary , thus
a = 180° - 140° = 40°
a and b are alternate angles and are congruent, thus
b = a = 40°
Answer:
b=40 okkkkllllllkkkkkkkkkkkkkkkkkkkkkllllllkkkk
1. Typing Which of these statements best interprets this
equation?
A) Typists increase their speed by 10.5 wpm for every
5.4 hours of training.
B) Typists increase their speed by 5.4 wpm for
every
10.6 hours of training.
C) A typist who trains for an additional hour will benefit
with a speed increase of 5.4 wpm.
D) On average, typists tend to increase their speed by
roughly 5.4 wpm for every hour of training.
Answer:
c
Step-by-step explanation:
also can i pls get brainlist pls pls
Please graph! I have 3 minutes left of my timed test!
The graph of y = is translated. The translation is defined by (x + 1, y – 2).
Which is the graph of the translated image?
If the function is translated using the rule (x + 1, y – 2), the resulting function will be g(x) = (x+1)² -2
Translation of functionsTranslation is a way of changing the position of a figure on an xy plane. Given the parent function
y = x²
If the function is translated using the rule (x + 1, y – 2), the resulting function will be g(x) = (x+1)² -2. The equivalent graph if the function is as shown below.
Learn more on translation here: https://brainly.com/question/12861087
#SPJ1
can some one help first answer gets brainliest
Answer:
d
Step-by-step explanation:
uhhh math
Greg buys 2 puzzles from a garage sale. Each puzzle costs $4. Which graph
could show the coordinates of the point that represents the number of puzz
that Greg buys and the total cost?
Answer:
bottom right
Step-by-step explanation:
for the side that says total cost u go up to 4 and for the one that says number of puzzles u go two over
please help me I dpnt know the answer and I dont want to do it
Answer:
the answer is -34
Step-by-step explanation:
the answer is n=34
This is for middle school 9th grade please help me :)
Answer:
1 because it goes up 3 over 3 3/3=1
Step-by-step explanation:
Help picture shown !!!! please.
Answer:
x=266/41
Step-by-step explanation:
1ft 7in/3ft 5 in=x/40
or,12in+7in/36+5=x/40
or,19in/41in=x/40
or,19*40/41=x
•°•x=266/41
Yo please can someone solve this , im gonna fail T^T
Answer:
The Answer is -11 cause its just -11
an elevator travels 5 feet per second when it is going up and 6.5 feet per second and when it is going down. an elevator starts at ground level and travels up for 7 seconds and down 5 seconds and down for 5 seconds. what is the elevators elevation after 12 seconds
Answer:
huhufht
Step-by-step explanation:
kdgkfndk
MATH HELP!!!! I HAVE POSTED THIS QUESTION AND NO ONE ANSWERS! 15 POINTS!!!
Answer:
A
Step-by-step explanation:
in order to find the answer take into mind what the question is asking for.
The equation has to pass the point (12,3) and has to be parallel to y=(4/3)x+5.
since the equations have to be parallel you can take out D since it has the reciprocal of the slope of the original equation.
You could also take out the negative equation C since the original one is not negative.
then you would have to graph the equations and would find that A is the answer because in order to have a point (12,3) you need to either start from the negative y-axis and ascend or from the positive axis and descend but B doesn't go down it goes up since it has a positive y value and has a positive slope. So in conclusion the answer would be A.
[tex]y = \frac{4 }{3} x - 13[/tex]
Which expression is equal to – 8s – 2s2 + 23s – 4?
Answer:
15s-2s^2-4
Step-by-step explanation:
Step-by-step explanation:
15s-2s^2-4 and is the best
PLEASE ANWSER THIS 1 QUESTION
Answer:
dude it's easy
Step-by-step explanation:
Answer:
x<-15
Step-by-step explanation:
Write the sentence as an inequality.
A number (x) plus 10 is less than 34.
Answer:
X + 10 < 34
Step-by-step explanation:
X is the variable and variable represent a number in equations. Then this < is considered to be the less than symbol. The rest should be easy when you get the understanding.
Which graph shows a proportional relationship?
Answer:
D
Step-by-step explanation:
I am absolutely sure trust me sorry I put C but I mean D
Answer:
D
Step-by-step explanation:
because i know
Please help on 2, 3, and 4.
2. $350
3a: 15 is half of 30, so knowing that means the answer is 50%
3b. 3 is 1/4 of 12 because 3x4 is 12, meaning that 3 is 25% of 12.
3c. 6 over 10 as a decimal is 0.6. Which as a percent is 60%
4. Noah's method does work because 20% x 5 is equal to 100% of a number.
i genuinely don't understand . please help me asap
Answer:
48.17
Step-by-step explanation:
Umm.. i don't really have time to explain but
A^2+B^2=C^2
36^2+32^2=48.17
Find the 11th term of the geometric sequence 7, 35, 175,
Answer:
7*5^10=68,359,375
A box of chocolates contains 18 chocolate squares. Ten of the squares are milk chocolate, 5 are dark chocolate, and 3 are white chocolate.
If Christina randomly chooses a chocolate out of the box, what is the probability of her choosing a white chocolate square?
a. 1/8
b. 1/6
c. 5/18
d. 1/3
Answer: 1/6
Step-by-step explanation: 1/6 she has 3/18 chance of drawing a white chocolate. There are 3 white chocolates out of a total of 18 chocolates. That’s 3/18 which is equal to 1/6
Hope this helps :)
2
3
4 >
5
6 >
8 >
9
10 >
What is the nth term rule of the linear sequence below?
7,9, 11, 13, 15,...
Tn=
Equation:
Value of X:
Angle measures: __ & __
Equation : (7x + 9) + (5x + 3) = 180°
The two lines, say, line a and b are parallel and line y is a transversal. The two angles are called supplementary angles.
_________________________________
To find the value of x, we need to solve the equation.
(7x + 9) + (5x + 3) = 180
7x + 9 + 5x + 3 = 180
(7x + 5x) + (9 + 3) = 180
12x + 12 = 180
12x = 180 - 12
12x = 168
x = 168/12
x = 84/6
x = 42/3
x = 14
Value of x: 14
_________________________________
First angle = 7x + 9
= 7×14 + 9
= 98 + 9
= 107
Second angle = 5x + 3
= 5×14 + 3
= 70 + 3
= 73
Angle measures: 107° & 73°
Brian has $100 in his pocket. As he is walking home 1/4th of the money falls out of his wallet. Of the remaining money, he uses $15 to buy girl scout cookies. Lastly, of the remaining money he loses 1/3rd. How much money does he have left by the time he makes it home?
Answer:
$40
Step-by-step explanation:
Brian starts at $100, then loses 1/4th of the money,
100/4 = 25,
then you subtract 25 from 100, which gives you 75
With the remaining $75, he spends $15 on girl scout cookies,
75 - 15 = 60
He then has $60 remaining, but while walking home, loses 1/3 of the total amount.
60/3 = 20,
you then subtract 20 from 60, which gives you 40
Therefore, $40 is what is remaining.
-2x - 8y = 16
Y = -4
Answer:
_24
step by step explanation
-2x-8×4=16
-2x-32=16
the -32 will go the other way and it will become positive
-2x=32+16
-2x=48
-2×/2=48/2
=-24
Answer:
8
Step-by-step explanation:
-2x-8y=16 -2(8)-8(-4)=16
-2x-8(-4)=16 -16+32=16
-2x+32=16 16=16
-2x=-16
x=8
Have a great day and I hope this is correct
Drake is buying a new video game that costs $50 . If the sale tax rate is. 7.5% how much will frame pay in tax?
Answer:
he will pay 3.75 in tax
Step-by-step explanation:
first you do 50 times 0.075(which is 7.5%) to get your answer of 3.75
Find the value of x that makes the equation -3 (x + 10) + 2x = 30 true.
Item 11 A rate of 4 centimeters per second is equal to how many meters per hour? 4 centimeters per second = meters per hour Item 11 A rate of 4 centimeters per second is equal to how many meters per hour? 4 centimeters per second = meters per hour
Answer:
Step-by-step explanation:
This can be done with dimensional analysis.
4 cm/s [ 1 m/100cm][3600 sec/1 hour]
4 cm* 3600s / 100 cm = 4 m *3600 seconds / hr
144 m / hour. All the numbers and units cancel out.
Keep that Michelle went out To dinner. The total cost of the meal, including the tip, came out to $53.70. It's a combined tip came out to $9.60 and each friend spent an equal amount, how much did each friend pay not including the tip?
The question is incomplete:
Keith and Michelle went out to dinner. The total cost of the meal, including the tip, came to $53.70. If the combined tip came out to $9.60, and each friend spent an equal amount, how much did each friend pay not including the tip?
Answer:
Each friend paid $22.05 without including the tip.
Step-by-step explanation:
Since you know the total cost of the meal including the tip and the value of the combined tip, you can subtract the amount of the tip from the total cost and divide the result by 2 as they spent an equal amount:
$53.70-$9.60=$44.1
$44.1/2=$22.05
According to this, the answer is that each friend paid $22.05 without including the tip.
How do you find -1 - 4 2/3 on a number line?
Answer:
did you simplify them??
Step-by-step explanation:
Lines / and m parallel. Can be represented by the 3x+4y=8. If line m passes thorough the point (2,-5), which equation can be used to find the equation of line m
Answer:
y=−34x+2.75
Step-by-step explanation:
Parallel lines have the same slope. Solve for the slope in the first line by converting the equation to slope-intercept form.
3x + 4y = 12
4y = –3x + 12
y = –(3/4)x + 3
slope = –3/4
We know that the second line will also have a slope of –3/4, and we are given the point (1,2). We can set up an equation in slope-intercept form and use these values to solve for the y-intercept.
y = mx + b
2 = –3/4(1) + b
2 = –3/4 + b
b = 2 + 3/4 = 2.75
Plug the y-intercept back into the equation to get our final answer.
y = –(3/4)x + 2.75