Using the diagram below, what is the horizontal distance between the control tower and the plane?
Answers
Answer:
x = 664.093 m
Step-by-step explanation:
tan∅ = opposite over adjacent
Since we are trying to find the horizontal distance, that means we are dealing with the bottom length and not the hypotenuse (the diagonal length):
Our theta (∅) = 52°
Our opposite = 850 m
Our adjacent = x m
tan52° = 850/x
xtan52° = 850
x = 850/tan52°
x = 664.093 m
Related Questions
Quadrilateral WXYZ is a square. If WT=6, find each measure?
Answers
We know that the diagonals of a square bisect each other which results in the formation of 4 - 90° angles . Which means ZX = 2 × WT . Then ,
= ZX = 2 × 6
= ZX = 12 ( ZX is a diagonal )
Side XY =
XY = √2 d/2
XY = √2 . 12/2
XY = 8.48528
m∠WTZ = 90° ( as the diagonals of a square intersect to form a complete angle ( 360° ) which is divided into four equal parts , each part being 90° )
m∠WTZ = 90°
m∠WYX = 45° ( WYX is half of one of the interior angles in this square which will mean it will be equal to 45° )
Therefore , m∠WYX = 45°
In short :ZX = 12
XY = 8.48528
m∠WTZ = 90°
m∠WYX = 45°
A surveyor is surveying a street. The surveyor is standing at point B looking down the street at a No Parking sign at point C and a Stop sign at point A. Given BC = 4x-5 meters, BA = 20 meters, CA = 6 meters, and point C is between B and A, what is x in meters?
Answers
Answer:
i think x is bc=4x-5 meters
Step-by-step explanation:
Pls someone help hurry
Answers
Answer:
First base goes with first height, second base with third height and third base with second height
Step-by-step explanation:
Solve the equation, justify
each step with an algebraic
property.
7 = 16 + 3x
Answers
7-16 = 3x
-9 = 3x
x = (-9)/(3)
x = -3
Jack plans to buy 2.25 lb of coleslaw at $2.80 per pound. He also wants 2lb of macaroni salad that sells for $3.15 per pound. Jack has a $10 bill in his wallet. Is this enough for the coleslaw and the macaroni? Explain.
Answers
2.25 times 2.80 gives the cost for the total coleslaw, which is $6.30
2 times 3.15 gives the cost for the total macaroni salad, which is also $6.30
Add those together and you get $12.60, which is larger than $10, so it is not enough
Kenny had a total of 140 minutes to read, do homework, and play video games. he spent x minutes reading. he spent 2(x + 5) minutes doing homework and he spent 25 minutes playing video games. How many minutes did Kenny spent reading?
Answers
Answer:
35 min
Step-by-step explanation:
given that the total time spent is 140min
and that the time spent reading is x minutes
and also that the time spent doing home work is 2(x+5)
the time spent playing video game is 25
the expression for the total time is given as
total = reading +homework +video game
140=x+2(x+5)+25
solving for x we have
140=x+2x+10+25
140=3x+35
140-35=3x
105=3x
x=105/3
x=35
kenny spent 35 min reading
Time spend for reading is 35 minutes
Given that;
Total number of minutes Kenny have = 140 minutes
Time spend for reading = x
Time spend for homework = 2(x + 5) = 2x + 10
Time spend for games = 25 minutes
Find:
Time spend for reading
Computation:
Total number of minutes Kenny have = Time spend for reading + Time spend for homework + Time spend for games
140 = x + 2x + 10 + 25
3x + 35 = 140
3x = 105
x = 105 / 3
x = 35
So,
Time spend for reading = 35 minutes
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If 120 million roses were sold on Valentine's Day, and 75% of the roses were red, how
many red roses were sold on Valentine's Day?
Answers
Answer:
Step-by-step explanation:
120 million * .75
90 million roses were sold on valentines day
Answer:
there were 90 roses sold on valentines day
Step-by-step explanation:
part=%*whole
p=75%*120
p=90
explain how to solve it?
6 = 3 x - 9
Answers
Answer:
5
Step-by-step explanation:
Step 1:
6 = 3x - 9 Equation
Step 2:
15 = 3x Add 9 on both sides
Step 3:
x = 15 ÷ 3 Divide
Answer:
x = 5
Hope This Helps :)
Answer: 5
Step-by-step explanation:
6 = 3x - 9
+9 + 9
15 = 3x
/3 /3
5 = x
ASAPPP!!!
g(x)
5
4
4 3
3+
2
f(x) = 4x - 1
h(x) = cos(x + 211)
-3
12
3/1
- 1
-2
-3
-4
Using complete sentences, explain which function has the greatest y-intercept.
Answers
Answer:
5 9
Step-by-step explanation:
Find the value of x in the triangle shown below.
Answers
Answer:
55
Step-by-step explanation:
I believe it's 55 because the triangle has to equal 180
so I subtracted 70 from 180 and x can't be 70 because they don't have the same lengths
subtracting 70 from 180 gave me 110 then I divided by 2 since both the top angle and x would have the same angle in degrees xD
The mapping diagram shows a functional relationship. A mapping diagram shows a relation, using arrows, between domain and range for the following ordered pairs: (negative 1, 0), (0, 3), (3, negative 1), (9, 9). Complete the statement. f(3) is .
Answers
Answer:
-1
Step-by-step explanation:
The value of f(3) is -1.
What is a Mapping Diagram?A mapping diagram is an image of two circles which shows two values corresponding to each other, such that one is the input value to the function and the other is the output value.
The input value circle represents the domain of the function and the output value circle represents the range of the function.
To check if the mapping diagram shows a function, it is observed that one input value is connected to only one output value.
The input and output value in the mapping diagram is:
(negative 1, 0), (0, 3), (3, negative 1), (9, 9).
The domain of the function is ( -1 , 0 , 3 , 9)
The range of the function is ( 0 , 3 , -1 , 9)
The value of f(3) is the value of function at input value of 3.
f(3) = -1
To know more about Mapping Diagram
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. You want to buy some underwear. A
package of 8 costs $3.12. A package of 15
costs $6.15. A package of 20 costs $7.60.
Which package is the best buy?
Answers
Answer:
the second
Step-by-step explanation:
Calculate the slope between the points: (4, -9) and (5, 1)
a
m=10
b
m=1/10
с
m=-10
d
m=-1/10
Answers
Answer:
The answer is A- m=10
Step-by-step explanation:
The way to find slope is known as "Rise over Run" meaning the increase of Y over the increase of X. The increase of Y is 10 because 1 - (-9) = 10. The increase of X is 1 because 5 - 4 = 1. 10 over 1, or 10 / 1, equals 10.
Help please in the photo
Answers
Answer:
m = 40
Step-by-step explanation:
The triangle inside the circle has 2 equal sides ( the radii ) of the circle, thus
The base angles are congruent both 50°
The 3 angles on the tangent sum to 180°, so
m + 50 + 90 = 180
m + 140 = 180 ( subtract 140 from both sides )
m = 40
Why is the answer 3? Please explain.
Answers
Answer:
c
Step-by-step explanation:
you have to plug it in and trying slove for f(x) and basically it is straight forward.
Gabriella bought 6 7/14 yards
of red fabric and 7 1/7 of
blue. How much cloth did she
buy in all?
Answers
Answer:
13 9/14
Step-by-step explanation:
Add the blue + red fabric
1. Make the denominator the same
6 7/14 + 7 2/14
2. Add
6 7/14 + 7 2/14 = 13 9/14
Answer:
13 9/14
Step-by-step explanation: You would change 1/7 into 2/14 for a common denominator then add 2/14 and 7/14 and get 9/14 and 6+7=13 so it would be 13 9/14. Plzzzz give me brainliest
easy questions pls help (question in picture)
Answers
Answer:
1. P= 80
60/.75=80
2. x= 5/3
-27/25x / -27/25= -9/5 / -27/25
-9/5 / -27/25 --- -9/5 x -25/27
3. -300
-2.7/-2.7 = 810/-2.7
4. 120
84x100/70
84/x = 70/100
1. p=80
=(60×4)÷3
=240÷3
=80
2.x=1.6667
={-9/5}×{-25/27}
=1.6667
3.t=-300
=(810÷-2.7)
=(810×10)÷(-2.7×10)
=(8100÷(-27)
=300
Each month, your phone company charges you a fee of 15 cents per minute as well as a service fee of $6.95 . Write a linear function rule that models the number of dollars y you pay each month for any number of minutes x.
Answers
Answer:
y=$9x+$6.95
Step-by-step explanation:
Answer:
$7.10
Step-by-step explanation:
6.95+.15=7.10
48/1000 decimal form
Answers
Answer:
0.048
Step-by-step explanation:
I've used a calculator, then rounded it for you.
Let me know if you need any more help. :)
Caffenine takes a certain amount of time to leave your system if you drink 3 cups of coffe in the morning the function that represents the amount of caffeine remaining in your body after drinking the coffe is given by g(t)=130(.8346)^t where t is the timein hours. how much caffeine remains in your body after 1 day. how much caffeine remains in your body after 2 days
Answers
Answer:
In 1 day, 1.70
In two days 0.022
Note; Unit was not given in the question, I would have included it
Step-by-step explanation:
Here, we are to calculate the amount of caffeine remaining in the body.
To calculate this, we simply substitute for the number of hours t in the equation.
In one day , we have 24 hours
So our substitution will be t = 24
Hence; for a day;
g(24) = 130(0.8346)^24 = 1.70
For two days, we have t = 48 hours
Thus; g(48) = 130(0.8346)^48 = 0.022
determine which is less expensive per can a 6 pack of soda for 2.20 or a 12 pack of soda for 4.25 explain
Answers
Answer:
the 12 pack would be cheaper
Step-by-step explanation:
first you would find the price of one can (2.20/6)=.37 and (4.25/12)=0.354
the cheapest would be the 12 pack
Kayla paid $27.50 for a pair of gloves. The cost of the gloves is $8.75 more than the cost of a scarf. Which equation can be used to find the cost of the scarf?
Answers
Answer:
You can use subtraction
Step-by-step explanation:
$27.50 - $8.75 = $18.75 (cost of scarf)
-----------------------------------------------------------------------
the gloves cost 27.50 dollars and if the scarf cost 8.75 dollrs more then that means that if we subtract that extra mount we should get the price of the scarf
if $18.75 is the cost of scarf and if gloves are $8.75 more then...
$18.75 (scarf) + $8.75 (extra $) = $27.50 (gloves)
MATH QUESTION PLS HELP!
Answers
Answer:
4) -14/5
Step-by-step explanation:
Solve for y: 3x +y = 12
PLEASE SHOW STEPS.
Brainliest
Answers
Answer:
y=6
Step-by-step explanation:
you can do 3x2 to get 6. 12-6=6 so y can equal 6
52$ tie; 50% discount
Answers
Answer:
$26
Step-by-step explanation:
its 50% , just divide by 2
Answer:
52/2 = $26
Step-by-step explanation:
50% is half, so simply divide it by 2
There are 19.3 cups of flour in a bag. The chef uses 2.9 cups for making cookies. Then, he uses 1.2 cups of sugar and 5.1 cups of flour for making banana bread. How many cups of flour are left?
Answers
Answer:
10.1
Step-by-step explanation:
19.3-2.9=16.4
16.4-1.2=15.2
15.2-5.1=10.1
so there are 10.1 cups of flower left
Answer:11.3
Step-by-step explanation:
19.3 - 2.9 -5.1= 11.3
You don't subtract the 1.2 cups of sugar because it's only asking about the flour.
HELP QUICK PLEASE!!! and please explain bc I'm confused.
∠A and ∠B are vertical angles.
If ∠A=8x+14 and ∠B=2x+50, what is m∠B?
Answers
Answer:
Step-by-step explanation:
8x+14=2x=50
6X+14=50
6X=36
X=6
2(6)+50
12+50
Angle B equals 62
You just bought a car and need to expand your driveway by pouring more concrete. If the dimensions of the addition are 11ft by 6.5ft how many square feet of concrete do you need to pour?
Answers
Area of rectangle=length multiplied by breadth
=11 multiplied by 6.5= 71.5ft^2
[tex]express \: \: \sqrt{48} + \sqrt{108} \: \: in \: \: \: form \: \: of \: \: k \sqrt{6} \\ where \: \: k \: \: is \: \: a \: \: \: surd.[/tex]
pls help me!!
Answers
Answer:
[tex]10 \sqrt{3} [/tex]
Step-by-step explanation:
[tex] \sqrt{48} + \sqrt{108} \: \: in \: \: \: form \: \: of \: \: k \sqrt{6} \\ \sqrt{48} + \sqrt{108} = \sqrt{(4 \times 4 \times 3)} + \sqrt{(9 \times 3 \times 4)} = \\ 4 \sqrt{3} + 6 \sqrt{3} = 10 \sqrt{3} [/tex]
10 times the sum of half a number x and 4 is 6
Answers
Answer:
-10.4
Step-by-step explanation:
Assume that the number we are looking for is x.
Now, we want to get 10 times the sum of half the number and 6 and equate this expression to 8. Then we can solve for x
step by step
half the number is 0.5x
the sum of half the number and 6 is 0.5x + 6
10 times the sum of half the number and 6 is 10(0.5x +6)
10 times the sum of half the number and 6 equals 8 is 10(0.5x+6) = 8
Now solve for x
10(0.5x + 6) = 8
5x + 60 = 8
5x = 8 - 60
5x = -52
x = -52/5
x = -10.4