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
A lender charges 3.25% of the loan amount for closing costs on a $165000 home loan. Determine the closing costs.
Answer:
$5,362.50
Step-by-step explanation:
3.25% = 0.0325
165000 x 0.0325 = 5,362.50 dollars
Answer:
$5,362.50
Step-by-step explanation:
HELP PLEASE ITS MY LAST QUESTION!!
Jonathan and his band want to record and sell CDs. The recording studio charges an initial set-up fee of $250, and it charges $6.00 to burn each CD.
a) Define the variables:
Let n = _______
Let C = _______
Answer:
N=CD C=2-3 sentance
Step-by-step explanation:
Pleaseeeee helpppp me
Answer:
Lil
Step-by-step explanation:
a shirt that cost $5 is marked up 20% what is the markup
Answer:
1 dollar
Step-by-step explanation:
20% = .20(percentage to decimal conversion)
.20 * 5 = 1 or 5 * .20 = 1 either way works
I’m doing a percent equation and I need help here is the question 90% of blank =72
Answer:
80
Step-by-step explanation:
90/100*x=72
9/10*x=72
x=72*10/9
x=80
Daniel's store sold 75% fewer pairs of shorts this month than last month. If the store sold 5 pairs of shorts this month, then _________ pairs of shorts were sold last month.
Answer:
EXACT ANSWER: 6.666666666667
ANSWER ROUNDED: 7
Step-by-step explanation:
lol, I can't explain well, but it's correct.
− 50 ≤ 7 + 6 ≤ −8 (i need this quick)
Answer:
−50≤7+6≤−8
=0
Um- help-.. please don’t comment if you don’t know
Answer:
Each point does NOT ALWAYS give the same amount of tickets.
11 point would most likely give 90 tickets.
Step-by-step explanation:
2 points give 18 tickets = 9 tickets per point
3 points give 27 tickets = 9 tickets per point
9 points give 72 tickets = 8 tickets per point
You can add the 2 point value with the 9 point values to find out many point it takes to get to 90 tickets.
18(2 tickets) + 72(9 tickets) = 90(11 tickets)
Answer:
Im, not as sure, but I think it's 10 points!
Step-by-step explanation:
If you divide the tickets by the points, they always come up as a whole number ( 9, 9 , then 8.) To be honest, I was a little stuck, but after messing around,, if you divide 90 by 10, you get a whole number, 9. so I was just thinking this would be right? Maybe? The Points keep increasing, so that follows that pattern...
Honestly, I hope this helps, but I'm super sorry if that is wrong!!
Determine if the expression -c2 + 2c4 is a polynomial or not.
Answer:
5
Step-by-step explanation:
2. Write the algebraic phrases that correspond to the following word phrases: (a) The sum of four times the opposite of a number and - 5 (b) The product of 5 and the sum of 3 times a number and 4
Answer:
would not be helpful to anser nowww... sory!
Step-by-step explanation:
Which rectangles similar to the one below?
Answer:
D
Step-by-step explanation:
because half of 8 and 14 is 4and 7
the number line at the right models an addition sentence select all the situations below could be modeled by the addition sentence.
i need help! i lost my notes
Answer:
sin A= 3/5
sin C= 4/5
cos A= 4/5
cos C= 3/5
i need help with this asap!!
Answer:
perimeter you add all sides together:
5x+2 +5x+2 +x +8 +x+8
12x +20
and for Area you multiply:
(x + 8)(5x + 2)
5x^2 + 2x + 40x +16
5x^2 +42x +16
so your answer is the first one or "A"
Given f(x) = 17(3+x) what is the value of f(-2)
Answer:
Step-by-step explanation:
f ( x ) = 17 ( 3 + x )
f ( -2 ) = 17 ( 3 + -2 )
f ( -2 ) = 51 + -34
f ( -2 ) = 17
= 17
A person invests 9500 dollars in a bank. The bank pays 5% interest compounded annually. To the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 13200 dollars?
Answer:
6.58 years
Step-by-step explanation:
Step one:
Given data
Principal=$9500
rate= 5%= 0.05
Final amount= $13200
Required:
The time t
Step two
The expression for the compound interest is
[tex]A= p(1+r)^t[/tex]
t = ln(A/P) / r.
substitute
t = ln(13200/9500) /0.05
t= ln(1.39)/0.05
t=0.329/0.05
t=6.58 years
Answer:
6.7
Step-by-step explanation:
please solve this equation and show work tysmmmm5(p+6)=8p
Answer:
P=10
Step-by-step explanation:
5p+30=8p
30=3p
10=p
Answer:
5 ( p + 6 ) = 8p
Distribute (multiply 5 by p and 6)
5p + 30 = 8p
Subtract 5p from both sides
30 = 3p
Divide by 3 to isolate variable
10 = p
Step-by-step explanation:
Joe has to get 80% overall in his 3 tests. He gets 60% in one of them. How much percentage does he need for both of the exams to get 80% overall?
Answer:
80%
90%
Step-by-step explanation:
BRAINLIEST PLEASE
A _____ is a statement that has been proved
Answer:
Fact
Step-by-step explanation:
A Fact is a statement that has been proved :)
Two years ago, Jose bought $750 worth of stock in a cell phone company. Since then the value of his stock has been DECREASING at an average rate of 5 1/4 % per year. How much is the stock worth now?
Answer:
$671.25
Step-by-step explanation:
To get the amount by which the stock have reduced after 2 years, we will use the interest formula;
Interest = Principal * rate * time/100
Interest = 750*5 1/4 * 2/100
Interest = 750*21*2/400
Interest = $78.75
This means that the value of the stock has reduced by $78.75 after 2 years;
Amount that the stock worth now = $750 - $78.75
Amount that the stock worth now = $671.25
A community center rents their hall for special events. They charge a fixed fee of $200 plus an hourly fee of $22.50. Lin has $300 to spend on renting the hall for a fundraiser.
Using only the money she has, can Lin pay for a 6 hour event? Explain or show your reasoning.
Using only the money she has, can Lin pay for a 3 hour event? Explain or show your reasoning.
If LaTeX: hh represents the number of hours, what does LaTeX: 22.50h+20022.50 h + 200 represent?
Write and solve an equation to determine the number of hours Lin can rent the community center.
Write and solve an inequality that represents this situation. Explain what the solution to the inequality means in this situation.
Lin can only rent the hall for 4 hours with $300.
Linear equationLinear equation is in the form:
y = mx + b
where y,x are variables, m is the rate of change and b is the initial value of y.
Let c represent the cost of renting the hall for h hours.
From the question, we get:
c = 22.5h + 200
If Lin has $330, hence:
300 = 22.5h + 200
h = 4.4 hours
Therefore Lin can only rent the hall for 4 hours with $300.
Find out more on linear equation at: https://brainly.com/question/14323743
A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.Which best describes the complement of choosing a red marble?
choosing a green or blue marble
choosing any marble
choosing a blue, green, or yellow marble
choosing a yellow marble
Answer:
C) choosing a blue, green or yellow marble.
Step-by-step explanation:
The Complement of choosing a red marble means choosing any other marble that isn't red.
From the question , it was said that there were a blue , green, yellow and red marble.
So the Complement of choosing a red marble will be choosing any other marble apart from the red so ,that will be choosing a blue yellow or green marble.
Answer:
c
Step-by-step explanation:
Write the linear equation that gives the rule for this table. x f(x) 1 22 2 23 3 24 4 25 Write your answer as an equation with f(x) first, followed by an equals sign.
Answer:
umm that doesn't make a whole lot of sense if its multiple choice can you give us the options please sorry I couldn't answer
Step-by-step explanation:
i need help because i dont understand it
Answer:
6,371.15
Step-by-step explanation:
3.14 times 13^2 times 12
Answer:
Volume equals pi times radius to the power of 2 times height
that will be pi times 13^2 times 12= 6,367.92
radius is the 13 and you have to put it to the power of 2 and multiply it by 3.14 which is pi and multiply it by 12 and the answer is 6,367.92
Step-by-step explanation:
NEED HELP ASAP!
The sum of two numbers is 105. The larger number is 6 less than twice the smaller
number. What are the numbers?
Answer: x=68, y=37
Step-by-step explanation:
The equation for the sum of two numbers is 105 would be x+y=105. You can say the larger number would be x and the smaller would be y. So, x=2y-6. then you plug that into the x in the first equation.
2y-6+y=105
3y-6=105
3y=111
y=37
Then you would plug in the y to one of the equations. I will do the second one but you can do either one.
x=2y-6
x=2*37-6
x=74-6
x=68
16 pearls/20opals = 8pearls/ blank opals complete each equivalent ratio
Answer:
10
Step-by-step explanation:
16/20=8/10
16/2=8
20/2=10
16 pearls/20opals=8perals/10opals
Find the square root of the fraction 4/49.
A 2/7
B 7/2
C Cannot be done
Answer:
A
Step-by-step explanation:
2 times 2 = 4
7 times 7 = 49
2/7 = 4/49
Hope this helps!!!
What is the slope of y = -1/3x + 2? *
Answer:
-1/3
Step-by-step explanation:
The slope an equation is the number that is being multiplied by x. This is known as the coefficient. A coefficient is a number that’s being multiplied by a variable. In this equation, -1/3 is the slope because that’s the coefficient, it’s being multiplied by the variable x.
Hope this helps! :)
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot. y=-16x^2+227x+109
Answer: y=914.1 feet max height
Step-by-step explanation:
write the slope intercept form of the equation of each line