An air traffic controller at an airport sights a plane at an angle of elevation of 28º.
The pilot reports that the plane's altitude is 4500 feet.
To the nearest foot, what is the distance from the control tower to the plane?
3190 ft
8463 ft
2113 ft
9585 ft
Answer:
8463 feets
Step-by-step explanation:
Using the diagram attached :
Distance of control tower to plane = d
Using tro:
Tan θ = opposite / Adjacent
Tan 28 = 4500 / d
0.5317094 = 4500 / d
0.5317094d = 4500
d = 4500 / 0.5317094
d = 8463.2690
Please answer it quickly the question is below!!! 40 points!!!!
On a scale drawing, the height of a tree is 3.75 inches. If the scale of the drawing is 1 in. : 50 ft, how tall is the tree?
HINT: Write and solve a proportion. You will compare 1 in to 50 feet and then determine how many feet 3.75 inches would be. REMEMBER: When writing your proportion, be sure that whichever (inches or feet) is on top and bottom of one ratio, it is in the same position (top or bottom) on other ratio.
A
187.5 ft
B
13.3 in.
C
187.5 in.
D
13.3 ft
Answer:
187.5 ft
Step-by-step explanation:
50 ft x 3.75 = 187.5
Which choice shows the coordinates of C' if the trapezoid is reflected across the y-axis? On a coordinate plane, trapezoid A B C D has points (2, 1), (3, 5), (5, 3) and (3, 1).
Answer:
[tex]C'\ = (-5,3)[/tex]
Step-by-step explanation:
Given
[tex]A = (2, 1)[/tex]
[tex]B = (3, 5)[/tex]
[tex]C = (5, 3)[/tex]
[tex]D = (3, 1).[/tex]
Reflection across y-axis
Required
Coordinates of C'
When a point is reflected across the y-axis, the rule is:
[tex](x,y) \to (-x,y)[/tex]
So, the reflection on C will be:
[tex]C\ (5,3) \to C'\ (-5,3)[/tex]
Answer:
A
Step-by-step explanation:
(-5,3)
A box is 6 inches long, 4 inches wide, and 3 inches
high. What is the volume of the box?
Answer:
volume = 72
Step-by-step explanation:
multiply 6 x 4 x 3
In a board game, students draw a number do not replace it, and then draw a second number. Determine the probability of each event occurring. Drawing an odd number then drawing a 6? dependent events. PLEASE HELP ME
The figure depicting the board game is attached below.
Answer:
Step-by-step explanation:
Kindly note that selections done without replacement.
Count of numbers on the board game = 8
Count of odd numbers = (1, 9, 1) = 3
Count of digit 6 = 3
Probability = required outcome / Total possible outcomes
P(picking an odd number) = 3 / 8
Without replacement
Numbers left on board game = 8 - 1 = 7
P(picking a 6) = 3 / 7
Hence,
P(picking an odd number then, a 6) = 3/8 * 3/7 = 9 / 56
what is x? 60 or 100
This is so hard help
Answer:
42
Step-by-step explanation:
Answer:
Ik it
Step-by-step explanation:
(PLEASE HELP ILL GIVE BRAINLIEST)
Use the pattern in the table to answer the question
Which function was used to make the pattern?
(no random links)
Answer:
and is B
Step-by-step explanation:
plz follow me
thanks
How do you do rise over run
Answer:
Rise over Run is another term for the slope
Step-by-step explanation:
to find the slope, (y2 - y1)/(x2 - x1)
Answer:
If you look at a graph, you see 2 lines forming a "plus" shape. The horizontal line is called the x-axis, and the verticle line is called the y-axis. Rise over run is how much the y changes when the x changes. So if the graph increases its y value by 2 each time the x increases by 1, then rise over run is 2.
Please help I need to do this for e test ahhhh
The original price of a shirt is $20. The sales price is $16.30. What percent is the sales price of the original price for the shirt?
Answer:
81.5
Step-by-step explanation:
make a proportion
20/100 = 16.3/x
PLEASE PLEASE PLEASE HELP ME!!!!!!!!!
Choose the algebraic description that maps the image ΔXYZ onto ΔX′Y′Z′. Question options: A)
(x, y) → (x + 6, y – 1)
B)
(x, y) → (x – 5, y – 1)
C)
(x, y) → (x + 5, y – 1)
D)
(x, y) → (x – 6, y – 1)
Answer:
D
Step-by-step explanation:
To get from ΔXYZ (the figure on the right) to ΔX′Y′Z′ (the figure on the left), each point is translated left 6 units and down 1.
Movement left and right is related to the x-axis. So moving 6 units left (in a negative direction) is x - 6.
Movement up and down is related to the y-axis. So going down (in the negative direction) is y - 1.
help me with my math plz
Answer:
the answer is "D: More students prefer model A1 calculators than model C3 calculators"
Step-by-step explanation:
Find the mean of the data in the dot plot below.
\text{ g} gstart text, space, g, end text
Answer: 40.5
Step-by-step explanation: If it help please thanks me!
Answer:
???picture please
Step-by-step explanation:
There are 10 ice cream sandwiches, 5 drumsticks, and 6 vanilla ice cream cups in the freezer. You randomly select one and give it to your sister, then randomly select one for yourself. What is the probability of NOT selecting a drumstick and a vanilla ice cream cup? *
Answer:
The probability of not selecting a drumstick and a vanilla ice cream cup is 92.86%.
Step-by-step explanation:
Since there are 10 ice cream sandwiches, 5 drumsticks, and 6 vanilla ice cream cups in the freezer, and I randomly select one and give it to my sister, and then randomly select one for me, to determine what is the probability of not Selecting a drumstick and a vanilla ice cream cup, the following calculation should be performed:
5/21 x 6/20 = X
0.2380 x 0.3 = X
0.0714 = X
1- 0.0714 = X
0.9286 = X
0.9286 x 100 = 92.86
Therefore, the probability of not selecting a drumstick and a vanilla ice cream cup is 92.86%.
Help me please lolll
Answer:
2.423
Step-by-step explanation:
Surface that is not water: 5.1 - 3.61 = 1.49
How many times water is bigger than not water: 3.61/1.49 = 2.423
For the function g(x) = -4x + 6, what input value results in an output value of 6?
х
-6
-2
0
2
4
6
у
30
22
14
6
-2
-10
-18
A-18
B -6
C 0
D 30
Answer:
C. 0
I don't where all the values of x and y must be kept but ignoring those the ans is 0
A triangle has side lengths that measure 13 cm, 12 cm and 14 cm. What type of triangle is it?
Answer:
A scalene triangle.
Step-by-step explanation:
Scalene triangles does not have any equal sides.
Simplify (4^-2)^5
O A. 410
B.
C. 43
D. 270
Answer:
D
Step-by-step explanation:
the real answer would be 1/1048576
Is the relationship shown by the data linear if so model the data with an equation
write an equivalent expression by applying the distributive property (x-5)^2
Answer:
x^2 - 10x + 25
Step-by-step explanation:
Hope it helps.
At a school, 1 out of every 3 girls who tried out for basketball made the
team. Which ratio represents the number of girls who made the team to
the number of girls who did not make the team?
Answer:
1:2
Step-by-step explanation:
because only one gets into the team
and the remaining two don't make the team
what is 4,000,000 + 800,00 + 10,000 + 2,000 + 400 + 80 + 9 in standard form?
please help asap
Answer:
4,812,489
Step-by-step explanation:
Answer:
408,12,489
Step-by-step explanation:
hope it helped you
What would x=? Alternate Exterior & Interior Angles, 8th grade math! Help would be appreciated <3
Answer:
x = 4
Step-by-step explanation:
From the picture attached,
Two parallel lines with a transversal line intersecting these parallel lines at two distinct points.
Angles measuring 36° and (8x + 4)° are Alternate interior angles.
Therefore, measure of these angles will be equal.
(8x + 4)° = 36°
(8x + 4) - 4 = 36 - 4
8x = 32
x = 4
A math test has 25 multiple choice questions. Each question has 4 possible answers.
Which is the best way to simulate getting a 100% on this test?
GET THEM ALL RIGHT!?
There are 5 more yellow balloons than blue balloons at the party.If the total number of the balloons is 27,how many blue balloons are there?
Answer:
there are 11 blue balloons and 16 yellow balloons
Find the value of x.
A computer randomly selects a number from the given set. {2, 4, 6, 9, 16, 44, 51, 60, 78} What is the probability that a number less than 10 is selected? Enter your answer as a fraction, in simplest form, in the box. P(< 10) = Question 3 options: 59 49 29 89
Answer:
4/9
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one ids attached to the event. If it doesn't a value of zero is attached to the event.
Probability the number is less than 10 = total numbers less than 10 / sum of numbers
4/9
Is the ordered pair (-2, 1) a solution to the equation - 3x + y = 5?
No
Yes
Answer:
No
Step-by-step explanation:
Plug (-2,1) into -3x+y=5. This will make it -3(-2)+(1)=5. This is equal to 6+1=5. 7=5. 7 is not equal to 5. Therefore, (-2,1) is not a solution to the equation -3x+y=5.
If this helps please mark as brainliest
Hana is playing a virtual reality game in which she must toss a disc to land on the largest triangular section of the board. If the disc is equally likely to land anywhere on the board, what is the probability that she will succeed? Explain
Answer:
Her probability of success is 1/2
Step-by-step explanation:
Firstly, we have to calculate the area of the entire board
That would be the rectangle of the measure 50 cm by 40 cm
We have the area as the product of this two
That would be 50 * 40 = 2,000 cm^2
Now, the value calculated is the area of the entire possible landing area
Secondly, we need to get the area that counts as a success
that would be the area of the triangle that has a base of 50 cm and a height of 40 cm
The area of this is the product of the two divided by 2
we have this as ;
50 * 40 * 1/2 = 1,000 cm^2
So, her probability of success is simply the area of the triangle divided by the area of the rectangle
= 1000/2000 = 1/2