Answer:
2
(Hope This Helped : 3 )
During the Dallas marathon, a helicopter monitors the racers at a height of 527 feet. The pilot can see the runners that are in first and second place. The angle of elevation from the runner in first place to the helicopter is 45 degrees. The angle of elevation from the runner in second place to the helicopter is 60 degrees. What is the distance from the runner in 2nd place to the point directly below the helicopter? Round your answer to the hundredths place.
The distance from the runner in 2nd place to the point directly below the helicopter is given as follows:
304.26 feet.
What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.The parameters for this problem are given as follows:
Distance of x adjacent to the angle of 60º.Opposite side of 527 feet, which is the height.Hence the distance is obtained applying the tangent function as follows:
tan(60º) = 527/x
x = 527 / tangent of 60 degrees
x = 304.26 feet.
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if the ratio of two numbers is 2;3 and their G.C.F is 8 what is their L.C.M
Expert Answer:
Since the numbers are in the ratio 3:4 then let the numbers be 3x and 4x.
Thus the H.C.F. of the two numbers = x.
But the H.C.F is given as 4.
So, x = 4.
So, the numbers are,I
3x = 3 x 4 =12
And
4x = 4 x 4 = 16
We know,
H.C.F x L.C.M = Product of the two numbers
4 x L.C.M = 12 x 16
L.C.M = 48
Thus, the L.C.M of 12 and 16 , 48
Will and Ben win £1000 in a raffle
they give a fifth of it to charity and share what's left in the ratio 1:3.
How much is bens share
Answer:
600
Step-by-step explanation:
Answer:
£600
Step-by-step explanation:
1/5 of 1000= £200
that means £800 is left over
1:3= 200:600
ben gets £600, will gets £200
Need help on number 7
Answer:
area of triangle=1/2 base×height=1/2 8×14=56cm²
If you make 20 dollars a week how many weeks will it take you to reach the goal of 900 dollars.
Answer:
45 weeks
Step-by-step explanation:
20 dollars per week *week = goal
900/20 = 45
meaning 45 weeks
Answer:
45 weeks
Step-by-step explanation:
900÷20=45
so it will take 45 weeks
Please Helpppppp!!!!! What is the value of x.
Answer:
Step-by-step explanation:
Remark
By corresponding angles and vertical angles, these two angles are equal.
Equation
-1 + 14x = 12x + 17 Subtract 12x from both sides
Solution
-1 + 14x - 12x = 12x - 12x + 17
-1 + 2x = 17 Add 1 to both sides
-1+1 + 2x = 17 + 1
2x = 18 Divide by 2
2x/2 = 18/2
x = 9
a ferris wheel can accomidate 65 people in 25 minutes
how many people can ride the ferris wheel in 5 hours
Answer:
325
Step-by-step explanation:
I dont know how to explain it
1/9 + -5/9 PLEASE HELP
Answer:
-4/9
Step-by-step explanation:
Angle EFG is 80
Find side of angle x
In a season a soccer team won 13 games, lost 8 games, and tied 1 game. What is the ratio of games won to games lost? Write your ratio using a colon.
Answer:
13:8
is the answer because if you take the games won and lost this is what you get
Step-by-step explanation:
Best Buy shoes had a back to school special. The total bill for four pairs of shoes came to $62.24(before tax) what was the average price for each pair of shoes
Answer:
I believe it's 15.56
Step-by-step explanation:
just divide 62.24 by 4
WILL GIVE BRAINLIEST
Answer:
9
Step-by-step explanation:
Answer:
-1.8
Step-by-step explanation:
-9 divided by 5= -1.8
Hope this helps!! Please mark brainlliest. :) :)
Does anyone know the answer?
Answer:
sis 3rd option is correct
PLEASE HELP I WILL GIVE BRAINLIEST!!!!!!
There are 24 children at the skate park. Seven of them are on bikes, nine of them are on skateboards, and the rest are on inline skates (4 wheels per skate). How many wheels are at the skate park?
a. 24
b. 96
c. 114
d. 8
Answer:
C. 114
Step-by-step explanation:
bikes have 2 wheels
skateboards have 4 wheels
incline skates have 8 wheels in total
7*2 = 14
9*4 = 36
8*8 = 64
if you add all of these up you get 114 wheels in total. 8*8 was from 24-7-9 = 8
im on a time crunch plz
Answer:
I would say 2
Answer:
6 hours.
Step-by-step explanation:
bc to find the range of a number you have to find the difference between the largest and smallest numbers. in this case its 2 and 8 and the answer would be 6
Can someone help me with this please I need help
Answer:
This is linear.
Step-by-step explanation:
Its because it has a constant rate, no sudden changes.
Answer: Linear
Step-by-step explanation:
This is linear because when graphed it is straight.
7. The least of three consecutive positive integers is x. The sum of the three
integers is 60. The statement given above expressed as an equation is
Answer:
no. of consecutive integers--- X, X+1, X+2.
there sum is 60
X+X+1+X+2=60
3X+3=60
X+1=20
X=19
integers are=19, 20, 21
Help meeeeeeee! I will give brainly just do it soon!
Answer:
x=25
Step-by-step explanation:
hope this is correct!
(7*10^5)*(3*10^2) answer in standard form
Reflect points please help me
Answer:
Step-by-step explanation:
The distance from point B to line m is 6 units. To reflect across the m axis, flip the point. Therefore, after reflection, point B' is 6 units under axis m
factor -45x^3-60x^2-20x
Answer:
-5x(3x+2)²Step-by-step explanation:
Factoring the given expression:
-45x³ - 60x² - 20x = -5x(9x² + 12x + 4) = -5x(9x² + 6x + 6x + 4) = -5x(3x(3x + 2) + 2(3x + 2))-5x(3x + 2)(3x + 2) or -5x(3x+2)²Answer:
−5x(3x+2)^2
Step-by-step explanation:
-45x^3-60x^2-20x
Factor out 5.
5(−9x^3-12x^2-4x)
Consider −9x^3-12x^2-4x. Factor out x.
x(−9x^2−12x−4)
Consider −9x^2−12x−4 Factor the expression by grouping. First, the expression needs to be rewritten as −9x^2+ax+bx−4. To find a and b, set up a system to be solved.
a+b=−12
ab=−9(−4)=36
Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 36.
−1,−36
−2,−18
−3,−12
−4,−9
−6,−6
Calculate the sum for each pair.
−1−36=−37
−2−18=−20
−3−12=−15
−4−9=−13
−6−6=−12
The solution is the pair that gives sum −12.
a=−6
b=−6
Rewrite −9x^2−12x−4 as (−9x^2−6x)+(−6x−4).
(−9x^2−6x)+(−6x−4)
Factor out −3x in the first and −2 in the second group.
−3x(3x+2)−2(3x+2)
Factor out the common term 3x+2 by using distributive property.
(3x+2)(−3x−2)
Rewrite the complete factored expression.
5x(3x+2)(−3x−2)
In the number 222, how many times larger is the value of the digit in the tens place than the value of the digit in the ones place?
Answer:
hi to everyone for me and the kitchen and
find the commission earned or the rate of commission. Round money answers to the nearest tenth if necessary. Sells $420 Commission $31.50. I will mark brainliest. any answers on here that don't belong will be reported .
Answer:
7.5 %
Step-by-step explanation:
31.50/420 = 0.075 = 7.5 %
Answer:
7.5% commission
Step-by-step explanation:
420 x r = 31.50
420r = 31.50
r = 31.50/420
r = 0.075
multiply by 100 to get the percentage, = 7.5%
How many solutions does the PLEASE HELP
nonlinear system of equations graphed below
have?
10
10
10
O A. One
B. Two
C. Four
D. Three
Answer:
three hope this helps you out
The given non-linear function will have three solutions.
What is a non-linear function?A nonlinear system is a system in which the change of the output is not proportional to the change of the input.
Given is a graph of a nonlinear function, we need to find the number of the solution this function holds,
We know that the by studying the graph of any function we can deduce the number of solution,
We know that the number of times graph intersects each other is its solution,
Looking at the graph we can see that the graph is intersecting the graph three times,
Hence, the given non-linear function will have three solutions.
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A scuba diver descends 80 feet, rises 25 feet, descends 12 feet, and then rises 52 feet where he will do a safety stop for five minutes before surfacing. At what depth did he do his safety stop?
Answer:
15 ft
Step-by-step explanation:
At 15 feet below the surface, the scuba diver did his safety stop.
What is the surface?The surface is the common region between two different mediums. Here in the question surface is the common region between seawater and above seawater.
Let us denote the values of descending by negative sign and rising by positive sign and we sum up all the values together.
∴ [ - 80 + 25 + (-12) + 52 ] feet.
= (-80 + 25 - 12 + 52) feet.
= - 15 feet.
So, at 15 feet below the surface the scuba diver dis his safety stop.
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If AB=7x, CB=5x+8 and BD AC what is the length of CB
Answer:
x = 4
CB = 28
Step-by-step explanation:
In triangle ABC,
AB = CB..... (given)
Therefore,
7x = 5x + 8
7x - 5x = 8
2x = 8
x = 8/2
x = 4
CB = 5x + 8 = 5*4 + 8 = 20 + 8 = 28
pls Answer..........................................
Answer:
C= 27
G= 37
J=57
Z= 1
Step-by-step explanation:
These are the degrees because of the Triangle Sum Theorem which states that The sum of the measures of the angles in a triangle is 180°. So angle C for example is 27 because angle A is 53 and angle B is 100 add both of those and you get 153 so our equation would be 153+c=180, c being the angle, so then to solve this you do do 180-153 and that equals 27 so therefore, 153+27=180. This process applys to all the other angles as well ^w^
What’s the rate of 4.1(x+5)+1
Step-by-step explanation:
4.1(x+5)+1
= 4.1x + 20.5 + 1
= 4.1x + 21.5
Factor the expression completely.
24x-56
Answer: -1344
Step-by-step explanation:
Multiple: 24 * (-56) = -1344
There are 24 spaces on the Wheel of Fortune spinner. There are two bankrupt and one lose a turn section. What is the probability that you spin bankrupt or lose a turn on your turn?
Experimental or Theoretical?
Answer:
8.33%
Step-by-step explanation:
2÷224÷2=112
We know that
112
is the same as
1÷12
Then using
Long Division for 1 divided by 12
gives us
0.08333
Converting our number to a percentage:
0.08333×100
=8.33%
