Answer:
The distance apart of the two planes is either 100.45 km or 64.40 km
Step-by-step explanation:
The given parameters are;
The angle of elevation of the plane from the two radar stations are; 20° and 59°
The altitude of the plane = 30 km
The horizontal distance from each of the radar stations from the plane is given as follows;
[tex]tan(\theta) = \dfrac{Altitude \ of \ the \ plane}{The \ horizontal \ distance \ of \ radar \ station \ from \ the \ plane}[/tex]
Therefore, we have;
[tex]The \ horizontal \ distance \ of \ radar \ station \ from \ the \ plane = \dfrac{Altitude \ of \ the \ plane}{tan(\theta)}[/tex]For each of the given radar stations, and their elevations, we have;
[tex]The \ horizontal \ distance \ of \ the \ 1st \ radar \ station \ from \ the \ plane = \dfrac{30 \ km}{tan(20^{\circ})}[/tex]
[tex]The \ horizontal \ distance \ of \ the \ 2nd \ radar \ station \ from \ the \ plane = \dfrac{30 \ km}{tan(59^{\circ})}[/tex]
The distance between the two radar stations, d = The sum of their horizontal distances from the plane
Therefore;
[tex]d = \dfrac{30 \ km}{tan(20^{\circ})} + \dfrac{30 \ km}{tan(59^{\circ})} \approx 100.45 \ km[/tex]
However, when the radar stations are on the same side, we have;
The distance between the two radar stations, dₓ = The difference of their horizontal distances from the plane
[tex]d_x = \dfrac{30 \ km}{tan(20^{\circ})} - \dfrac{30 \ km}{tan(59^{\circ})} \approx 64.40 \ km[/tex]
The distance apart of the two planes is either 100.45 km or 64.40 km
(-1,4) and (1,-1) find the distance
Answer:
Step-by-step explanation:
72 times what gives you 6834
Answer:
94.917
Step-by-step explanation:
6834/72 = 94.916666
A platter holds 24 strawberries, 2 apples, and 16 are oranges. What fraction of all the fruit are strawberries? What fraction are apples? What fraction are oranges?
Answer:
strawberries are 24/42 apples are 2/42 and oranges are 16/42
Step-by-step explanation:
Trust me i did these same exact problems!!!
Also mark me brainly if this helped!!! :)
The fraction for strawberries is 12/21, the fraction for apples is 1/21, and the fraction for oranges is 8/21.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
A platter holds 24 strawberries, 2 apples, and 16 are oranges.
The total number of fruits = 24 + 2 + 16
The total number of fruits = 42
The fraction for strawberries = 24/42 = 12/21
The fraction for apples = 2/42 = 1/21
The fraction for oranges = 16/42 = 8/21
Thus, the fraction for strawberries is 12/21, the fraction for apples is 1/21, and the fraction for oranges is 8/21.
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Round off 13,486 to the nearest hundred.
Answer:
13,500
Step-by-step explanation:
Answer: 13,500
Step-by-step explanation:
So the 4 is in the hundred place than u look to the right where the next digit is which is 8. If its 5 or more u round up but if its 5 or less it stays the same. So 8 is 5 or more than u round up the 4 to 5 and leave the rest of the digit 0's. but u leave the 13 the same. If that makes sense.
what the the answer to 36 = 18x
Answer:
Step-by-step explanation:
C=2
E
What is the value of d to the nearest hundredth?
d
7.2
D
42°
d
The triangle has 3 sides and angles. The measure of "d" from the given diagram is 6.48
Application of SOH CAH TOAThe given diagram is a triangle. According to the SOH CAH TOA identity;
tan theta= opp/adj
Given the following
opp = d
adj = 7.2
Substitute
tan 42 = d/7.2
d = 7.2tan42
d = 6.48
Hence the measure of "d" from the given diagram is 6.48
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Liam has a bag of b beads. He gives 20 beads to his sister. He then makes 4 necklaces with the same number of beads on each necklace using all of the remaining beads. Write an expression that represents the number of beads on each necklace. Show your work.
Answer:
5
Step-by-step explanation:
just do 20 divided by 4 and you will get 5. Also, do 5x4 to make sure you let your teacher know that you got the right answer.The expression in one variable b that shows the number of beads on each necklace is (b-20)/4
What is an expression in one variable?An expression in one variable is a statement formed by the using constants and an unknown variables and mathematical operators but sign is equal to is not used. Expression in one variable is linear if the power of the unknown variable is equal to one .
Standard form of linear expression in one variable x is ax +b , where a and b are constants .
Given that Liam has a bag of b beads
He gave 20 beads to his sister
Then, remaining beads = b -20
Remaining beads are used to make 4 necklaces
Let the beads on each necklace be x
Then beads in four necklaces = 4x
As, Remaining beads = beads in four necklaces
⇒4 x = b - 20
Dividing the equation by 4 on both sides
⇒ x = (b-20)/4
∴ The expression that shows the number of beads on each necklace is (b-20)/4
Also, Learn more about the expressions in one variable from the link below:
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1/4 divided by 6 is ___
Answer:
1/24
Step-by-step explanation:
1/4*1/6=1/24
The greatest common factor of 4xy and -6xy
Answer:
The greatest common factor is 2x
Identify the function that fits the following table
x y
3 12
5 25
7 37
9 49
find the function
A. f(x) = 5x + 4
B.f(x) = 6x + 5
C.f(x) = 5x - 4
D.f(x) = 6x - 5
complete the table by determining the y values
y=2×+3
Answer:
Step-by-step explanation:
6
which of the following pairs of functions are inverses of each other
Answer:
c would be the answer you are looking for and please mark brainliest
Step-by-step explanation:
Options A and D have functions that are inverses of each other.
What is an inverse function?The inverse function is defined as a function obtained by reversing the given function.
To check whether two functions are inverses of each other, we need to check if the composition of the functions in both orders results in the input value.
Here, we need to check if f(g(x))=x and g(f(x))=x for all values of x in their domains.
A. f(x) = 7/(x-9) and g(x) = (x+9)/7
f(g(x)) = f((x+9)/7) = 7/((x+9)/7 - 9) = 7/(x/7) = x, so f and g are inverses of each other.
B. f(x) = x/6 + 8 and g(x) = 6x - 8
f(g(x)) = f(6x-8) = (6x-8)/6 + 8 = x/6 + 8/6 = x/6 + 4/3, which is not equal to x. Therefore, f and g are not inverses of each other.
C. f(x) = 2 + ∛x and g(x) = 2 - x³
f(g(x)) = f(2 - x³) = 2 + ∛(2 - x³) ≠ x, so f and g are not inverses of each other.
D. f(x) = 5x - 11 and g(x) = (x+11)/5
f(g(x)) = f((x+11)/5) = 5((x+11)/5) - 11 = x, and g(f(x)) = g(5x-11) = (5x-11+11)/5 = x/5, so f and g are inverses of each other.
Therefore, only options A and D have functions that are inverses of each other.
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1. Name the quadrant or axis containing the point (-1, 2)
A
V-axis
B
x-axis
с
quadrant II
D
quadrant III
Answer:
Can u put a pic 9f the question
Each day a carwash used 4 2/3 gallons of soap. After 2 days, how much soap would they have used?
Answer:
9 1/3
Step-by-step explanation:
-qx + p = r. Slove for X.
Answer:
x=-r-p/q
Step-by-step explanation:
TRUE or FALSE; Quadratic Equations' graphs take the form of V's.
Answer:
False, they take form of a U shape
F(n)=2n+5. Find the 5th term in the sequence
Answer:
15
Step-by-step explanation:
[tex]F(n)=2n+5[/tex]
[tex]F(5) = 2(5)+5[/tex] (substitute 5 in to get the 5th term)
[tex]=10+5[/tex]
[tex]=15[/tex]
∴ The 5th term of the sequence is 15
how many ounces of milk will be in a 8 ounce cup?
Answer:
8
Step-by-step explanation:
8 ounces = 8 ounces
The table represents some points on the graph of a linear function. What is the slope of the line?
Answer:
-9/2!
Step-by-step explanation:
For this one, It's a bit hard! But, using the process of elimination, you can tell, that since the Y's are going down, this is a negative slope. Since there was only two answers, and only one was negative, it's -9/2!
I really hope this helped... I know it wasn't the best, but I graphed it for you!
find the value of 1/3^-2
Answer:
9
Step-by-step explanation:
just reciprocate and change the negative sign to positive
I need to have this done by tonight and I don’t know what to put
Answer:
A. Option 1
Sign up cost = 0
1 Month = 125
2 Months = 150
3 Months = 175
4 Months = 200
Step-by-step explanation:
For every option simply write what the starting cost is in the top box for every option. Then multiply the monthly cost by how many months for each box and then add the starting cost. The result of the multiplication and addition will be what you put in each box.
* Practice Buddy
* Some balls are in the closet. Mr. Thomas takes
out 14 balls for class. Now there are 64 balls in
the closet. How many balls were in the closet in
the beginning?
There were
balls in the closet.
Done
Answer:
78 balls buddy
Step-by-step explanation:
The supermarket has 48 aisles. 12 of the aisles are empty. What percentage of the aisles are empty
Answer:
25% of the isles are empty
Step-by-step explanation:
48/12 is 25%
Answer:
25%
Step-by-step explanation:
12 + 12 + 12 + 12= 48
if 12 isles are empty, then that is 1/4 of 48 aka 25%
−8⋅f(1)−4⋅g(4)= Help me ASAP
Answer:
sorry I can
Step-by-step explanation:
why wala pa kame jan sorry wait kalang
Find the solutions to the equation below 9x^2 -81=0
Step-by-step explanation:
=
−
±
2
−
4
√
2
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
9
2
−
8
1
=
0
9x^{2}-81=0
9x2−81=0
=
9
a=
a=9
=
0
b={\color{#e8710a}{0}}
b=0
=
−
8
1
c={\color{#129eaf}{-81}}
c=−81
=
−
0
±
0
2
−
4
⋅
9
(
−
8
1
)
√
2
⋅
9
x=2⋅9−0±02−4⋅9(−81)
What is the area of the polygon H(3, 2), I(5, 2), J(5, 7), K(3, 7)
Answer:
area = 10
Explanation:
Write the slope intercept form of the equation of the line through the given points.
through: (-4,2) and (0,3)
y= 3x +1/4
y= -5/4x +3
y= 1/4x +3
y= -1/4x +3
Answer:
y= 1/4x + 3
Step-by-step explanation:
Answer:
y= 1/4x +3
Step-by-step explanation:
I used a graph
Help me out please its with triangles and stuff
Answer:
11 in = 33 in.
Step-by-step explanation:
6 in. = 18 in.
the second triangle is 3 times bigger than the smaller one.
Jake dives from a diving board that is 18 feet off the ground. He reaches a maximum height of 26 feet after 2 seconds. What is the standard and vertex formula of this quadratic equation and in how many seconds with Jake hit the water?
Answer:
The time it will take Jake to hit the water ia approximately 4.46 seconds
Step-by-step explanation:
The given parameters in the question are; feet
The height off the ground, of the diving board from which Jake dives, h₀ = 18 feet
g = The acceleration due to gravity
The maximum height Jake reaches, h = 26 feet
The time Jake takes to reach maximum height = 2 seconds
We have;
h = h₀ + u·t + 1/2·g·t²
v² = u² - 2·g·(h - h₀)
v = u - gt
u = gt
Where;
v = The final velocity
u = The initial velocity
t = The time taken
u = 9.81 × 2 = 19.62 m/s
The vertex form of a quadratic equation is f(x) = a(x - h)² + k², with the vertex = (h, k)
Substituting the values, gives;
26 = 18 + u·t - 1/2 × 9.81 × t²
8 = 19.62·t - 1/2 × 9.81 × t² = 19.62·t - 4.905·t²
19.62·t - 4.905·t² - 8 = 0
Therefore, the standard form is -4.905·t² + 19.62·t - 8 = 0
The coordinate of the vertex, is (2, 8), the vertex form is therefore;
-4.905(t - 2)² + 8
2) The time it will take Jake to hit the water is given as follows;
The height at which Jake meets the water = -18 feet from initial height
∴ -4.905·t² + 19.62·t - 8 = -18
-4.905·t² + 19.62·t - 8 + 18 = 0
-4.905·t² + 19.62·t + 10 = 0
t² - 4·t - 2.04 = 0
By the quadratic formula, we have;
t = (4 ± √((-4)² - 4 × 1 × -2.04))/(2×1)
t ≈ 4.46 seconds or t ≈ -0.46 seconds
∴ t ≈ 4.46 seconds
The time it will take Jake to hit the water ≈ 4.46 seconds.
Which of the following situations represent inductive reasoning? Select all that apply.
A. Harriet notices that her friend eats an apple for lunch every Monday, Wednesday, and Friday. Since today is Friday, Harriet makes a conjecture that her friend will eat an apple for lunch.
B. You notice that all butterflies in your yard are blue and black. Therefore, you decide that all butterflies are blue and black.
C. Terance adds the sides of an equilateral triangle and finds the length of the perimeter to be 3 times the length of one side. He guesses that the perimeter of every equilateral triangle will be three times the length of a side.
D. Kiana is writing a list of numbers 4, 8, 12, 16, ____. Her friend Freddy says the next number will be 20.