Answer:
Plane A / 7.62 mi away
Step-by-step explanation:
We have to calculate the distance of each plane from the airport.
In other to do this, we would use the trigonometric function of Sine
sin θ = Opposite/Hypotenuse
For Plane A
Plane A departs at a 41° angle from the runway
sin θ = Opposite/Hypotenuse
θ = 41°
Distance from the ground = Opposite = 5 miles
Hypotenuse = ???
sin 41° = 5 miles/Hypotenuse
sin 41° × Hypotenuse = 5 miles
Hypotenuse = 5 miles/sin 41°
Hypotenuse = 7.6212654335 miles
Approximately to the nearest hundredth ≈ 7.62 miles
For Plane B
Plane B departs at a 43° from the runway
sin θ = Opposite/Hypotenuse
θ = 43°
Distance from the ground = Opposite = 5 miles
Hypotenuse = ???
sin 43° = 5 miles/Hypotenuse
sin 43° × Hypotenuse = 5 miles
Hypotenuse = 5 miles/sin 43°
Hypotenuse = 7.3313959282 miles
Approximately to the nearest hundredth ≈ 7.33 miles
From the above calculation, we can see that Plane A what 7.62 miles away from the airport while Plane b was 7.33 miles away from the airport.
Therefore Plane A was farther away from the airport (7.62 miles away) when it was 5 miles from the ground.
Answer:
Plane A / 7.62 mi away
Step-by-step explanation:
I got it right on the test
Why is the product of a rational number and an irrational number irrational?
Answer:
Step-by-step explanation:
When you multiply and irrational by a rational, you are doing nothing to change the nature of an irrational number. The two numbers have different kinds of properties and though a multiplication can be indicated, there is no way you can change the properties of an irrational number with a rational.
Their properties just do not mix.
It is like take a solvent and mixing it with something that is not a solvent. You cannot do anything to anything to the insolvent to make it solvent simply by adding more. Their properties remain in tact.
Take 3 * 4√7
The properties of the 3 and 4 remain the same when multiplied and they can be combined. 3*4 = 12
But nothing can be done with √7. The 3 cannot effect it, anymore than what the 4 did.
Answer:
A. because the product is always a non-terminating, non-repeating decimal.
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.) midpoint (8,5), endpoint (10,8)
Step-by-step explanation:
Hey, there!!
Here, one point is A(10,8) and P(8,5) is the midpoint.
Let B(x,y) be the another end point.
Now,
Using midpoint formulae,
[tex]p(x.y) = \frac{x1 + x2}{2} . \frac{y1 + y2}{2} [/tex]
[tex]p(8.5) = ( \frac{10 + x}{2} . \frac{8 + y}{2} )[/tex]
Since they are equal,equating with their corresponding elements we get,
[tex]8 = \frac{10 + x}{2} [/tex]
or, 16 = 10 + x
or, x=16-10
Therefore, x = 6
Now,
[tex]5 = \frac{8 + y}{2} [/tex]
or, 10 = 8 + y
or, y = 2
Therefore, The coordinates of another point are B(6,2)
Hope it helps .....
28. Simplify the following expression: 10 (2 + 3) - 8x3
D a) 126
Ob) 74
d) 18
c) 26
Answer:
C) 26Step-by-step explanation:
10 (2 + 3) - 8x3=10 (5) - (8x3) =50 - 24=26Point F' corresponds to point D. point E'. point F. point E.
Answer:
F' corresponds to point F
Step-by-step explanation:
When a point is the result of some transformation, we often designate that result using the base name of the original, with a prime (') added. In this case, we expect that F' is the transformation of point F.
__
Comment on point naming
Of course, points can be given any name you like. These conventions are adopted to aid in communication about transformations and correspondence between points. It would be unusual--even confusing, but not unreasonable, for point F' to correspond to point D, for example. In the case of certain transformations, point F' may actually be point D.
Answer:
C
Step-by-step explanation:
Point F.
Which pair of functions represents a decomposition of f(g(x)) = | 2(x + 1)^2 + (x + 1) | ?
A) f(x) = (x + 1)^2 and g(x) = | 2x + 1 |
B) f(x) = (x + 1) and g(x) = | 2x^2 + x |
C) f(x) = | 2x + 1 | and g(x) = (x + 1)^2
D) f(x) = | 2x^2 + x | and g(x) = (x + 1)
Answer:
[tex]\Large \boxed{\mathrm{\bold{D.}} \ f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)}[/tex]
Step-by-step explanation:
[tex]f(g(x)) = | 2(x + 1)^2 + (x + 1) |[/tex]
The first option :
[tex]f(x) = (x + 1)^2 \ \mathrm{and} \ g(x) = | 2x + 1 |[/tex]
[tex]f(g(x))=(|2x+1|+1)^2[/tex]
The second option :
[tex]f(x) = (x + 1) \ \mathrm{and} \ g(x) = | 2x^2 + x |[/tex]
[tex]f(g(x))=(|2x^2 +x|+1)[/tex]
The third option :
[tex]f(x) = | 2x + 1 | \ \mathrm{and} \ g(x) = (x + 1)^2[/tex]
[tex]f(g(x))=|2(x+1)^2 +1 |[/tex]
The fourth option :
[tex]f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)[/tex]
[tex]f(g(x))= | 2(x + 1)^2 + (x + 1) |[/tex]
Answer:
D
Step-by-step explanation:
What is the value of 15 - 8 ÷ 4 x 3 + 6? A) 6 B) 55 C) 3 D) 15
Answer:
D
Step-by-step explanation:
Answer:
15 thus D) is the answer
Step-by-step explanation:
Simplify the following:
15 - 8/4×3 + 6
The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:
15 - 2×3 + 6
-2×3 = -6:
15 + -6 + 6
| 1 |
| 1 | 5
+ | | 6
| 2 | 1:
21 - 6
| 1 | 11
| 2 | 1
- | | 6
| 1 | 5:
Answer: 15
(BRAINLIEST QUESTION)
Which of the following is a complex number where a ≠ 0 and b ≠ 0? A -7 B Pi C 4 + 9i D 2+√3
Answer:
C 4 + 9i
Step-by-step explanation:
A complex number is of the form
a+bi where a is the real part and b is the imaginary part
4 + 9i
If anyone’s good with geometry, help me out please. I would really appreciate it.
Answer: X=2, PR=40
Step-by-step explanation:
given that the two triangles are equal/congruent
------------------------
solve for x
10x+5=25
10x=20
x=2
--------------------
solve for y
33=7y-2
35=7y
y=5
------------------
solve for PR
PR=8y
PR=8(5)
PR=40
Hope this helps!! :)
There are 1,000 meters in 1 kilometer. Convert 5,000 meters to kilometers.
A) 0.5 km
Eliminate
B) 5 km
C) 50 km
D) 500 km
Answer:
B) 5 km
Step-by-step explanation:
There are 1,000 m in 1 km, so x km=5000m
Set up a proportion:
[tex]\frac{1000m}{1km}=\frac{5000m}{x km}[/tex]
Cross multiply and solve for "x":
(1000 m)(x km)=(5000 m)(1 km)
1000x=5000
(1000x/1000)=5000/1000
x=5 km
AB has endpoints A(1, -3) and B(-4, 4). Find AB to the nearest tenth.
Answer:
2w78e56
Step-by-step explanation:
A teacher writes a function to model the rate
of completion on a test where C(n) represents
the completion rate and n represents the
number of students who have completed the
test over a class period. What would be an
appropriate domain of the function if the
teacher has 30 students in the class?
Answer: 30 students in the class.
Step-by-step explanation:
Domain is the set of all input values.
Given : A teacher writes a function to model the rate of completion on a test .
C(n) represents the completion rate
n represents the number of students who have completed the test over a class period.
Here , input variable = n
So, Domain= set of values for n
Since class has 30 students.
So, Domain = 30 students.
Hence, the appropriate domain of the function : 30 students.
Graph the following function by hand by completing the table
g(x) = (x - 5)² – 3
We know that y - x^2 is a parabola with a vertex at (0, 0).
So if we move it 5 units to the right and 3 units down, the vertex is at (5, -3).
Since it gives you a chart, you can plug in values for x and solve for g(x), and you will eventually get a graph that looks like a parabola with vertex at (5, -3).
(30)(-30) ANSWER QUICK IM DOING A WORKSHEET IN CLASS
Answer:
-900
Step-by-step explanation:
How many positive integers less than 100 have a remainder of 3
when divided by 7?
a) 18
b) 13 c) 14 d) 12
Answer:
13
Step-by-step explanation:
We can write the following inequality to find the answer:
7x + 3 < 100 (where x is our answer and x is an integer)
7x < 97
x < 13.86
The largest integer value of x that satisfies this inequality is x = 13 so we know that our answer will be 13.
Evaluate
5/8 - (1/4)
Answer:
3/8
Step-by-step explanation:
1. Find the LCM for the denominator: 5/8-2/8
2. subtract the numerator: 3/8
Answer:
The answer is 3/5
Step-by-step explanation:
You have to find the LCM
Then you have to subtract the numerator.
(-7)(-9)=
please help i thought it was -63
Answer:
The answer is not -63 but 63
Step-by-step explanation:
You multiply -7 by -9 and that equals 63. For when you multiply two negative numbers by each other it makes a positive number because the two negative numbers are canceled out:)
I rly hope this helped. Can I plz get brainliest?
A cylinder with the base radius of 8cm and has a height 12cm.Calculate to four significant figure. i.the curved surface area. ii.total surface area. iii.surface area of the cylinder when opened at one end. Take π =3.142.
Answer:
Curved surface area = [tex]603.3 {cm}^{2} [/tex]Total surface area= [tex]1005 {cm}^{2} [/tex]Surface area (opened at one end)=[tex]804.4 {cm}^{2} [/tex]What is the greatest common factor of the polynomial below?
8x2 - 4x
O A. 4x
O B. 2x
O C. 2x2
O D. 4x2
Answer:
Step-by-step explanation:
8x^2 - 4x
4x(2x - 1)
GCF is 4x
A 16-ounce bottle of shampoo costs $4.69. What is the price per ounce, rounded to the nearest cent? $0.29 $0.34 $2.93 $3.41
Work Shown:
16 ounces = 4.69 dollars
16/16 ounces = 4.69/16 dollars .... divide both sides by 16
1 ounce = 0.293125 dollars
1 ounce = 0.29 dollars .... rounding to the nearest cent
Answer:
A i got it right in edge
Step-by-step explanation:
in a small town 68% of the people owned television 72% on radio and 12% owned neither television nor radio (1)represent the information on a Veen diagram.
(2)what percentage of the population owned television.
Answer:
Percentage of those who owned TV is 16%
Step-by-step explanation:
Given
n(TV) = 68%
n(Radio) = 72%
None = 12%
Total Population = 100%
Required
What percentage owned television
See attachment for Venn diagram
[Calculating the percentage that owned television]
Represent those that own TV and Radio with x
So:
n(Both) = x
From the Venn diagram;
Total Population = (n(TV) - x )+ (n(Radio) - x) + None + x
This gives
100% = (68% - x) + (72% - x) + 12% + x
Open all brackets
100% = 68% - x + 72% - x + 12% + x
Collect like terms
100% = 68% + 72% + 12% - x - x + x
100% = 152% - x
Make x the subject of formula
x = 152% - 100%
x = 52%
The percentage of those who owned TV = n(TV) - x
Percentage = 68% - 52%
Percentage = 16%
Answer:
90%
Step-by-step explanation:
Which of these expressions is equivalent to 8p3 + 27?
A.(2p - 3)(4p2 + 6p + 9)
B.(2p + 3)(4p2 – 6p + 9)
C.(2p + 3)(4p2 + 6p + 9)
D.(2p - 3)(4p2 – 6p + 9)
Answer:
Hey there!
(2p - 3)(4p2 + 6p + 9) is equal to 8p^3+27. This is just a sum of cubes!
Let me know if this helps :)
The fastest NASCAR qualifying speed is 313 feet per second. How many miles per hour is that?
Answer:
213.41 mph.
Step-by-step explanation:
Multiply by 3600 ( seconds in an hour) and divide by 5280 (feet in a mile).
= 213.41 mph.
Jocelyn makes x dollars per hour working at the grocery store and n dollars per hour babysitting. A. Write an expression that describes her earnings if she babysat for 25 hours and worked at the grocery store for 15 hours. 25n+15x B. How much money did she earn if she charged $10 an hour for babysitting and earned $7.25 an hour at the grocery store.
Answer:
A. 25n + 15x
B. $358.75
Step-by-step explanation:
Jocelyn earns
Grocery store= $x per hour
Babysitting= $n per hour
A. Write an expression that describes her earnings if she babysat for 25 hours and worked at the grocery store for 15 hours.
The expression is:
25n + 15x
B. How much money did she earn if she charged $10 an hour for babysitting and earned $7.25 an hour at the grocery store.
25n + 15x
When n= $10 and x= $7.25
25n + 15x
= 25(10) + 15(7.25)
= 250 + 108.75
= $358.75
Therefore, if Jocelyn earns $10 per hour for babysitting and babysat for 25 hours, and earn $7.5 per hour at the grocery store and works for 15 hours.
Her total earnings will be $358.75
A triangle with a height of 5cm and a base length of 12cm what is the perimeter
Answer: 5+5+12+12
Step-by-step explanation:
You start at (4, -3). You move right 1 unit and left 3 units. Where do you end ?
Answer:
(2, -3)
Step-by-step explanation:
Moving right increases the x-coordinate so after moving 1 unit to the right, we will be at (4 + 1, -3) = (5, -3). Moving left decreases the x-coordinate so after moving 3 units to the left, we will be at (5 - 3, -3) = (2, -3).
Jim scored 23 points the first basketball game and scores 25 points per game(x) after the first. 73 +25Y
Answer: 1
Step-by-step explanation:
25+23=48
48=73+25Y
-73 = -25
divide = 1
What is the surface area of a cube with a side length of > ? inche ?
Greetings from Brasil...
The area of a square is given by the expression: A = L² (where L is the side length)
A cube has 6 sides and each side is a square. So the surface area of a cube will be 6x the area of a square of this cube.
Acube = 6L²2(b-3)=
help me i need this done in 20 minutes
Answer: 2b + -6
Step-by-step explanation: To simplify, we will use the distributive property.
Before distributing, I would change the -3 to plus a negative 3.
So we have 2(b + -3).
Now, distributing the 2 through the parenthses, we have 2(b) + 2(-3).
2(b) is 2b and 2(-3) is -6.
So we have 2b + -6 as our final answer.
Answer:
2b - 6
Step-by-step explanation:
2(b-3)=
Distribute
2*b - 2*3
2b - 6
Given that ABCD is a parallelogram and AB is parallel to CD, which of the following statements is false? (1 point)
Sides AB and CD are congruent.
O Angles A and C are congruent.
It
O AD is parallel to BC
Ite
O Angles A and B are congruent.
Ite
Answer:
The correct option is;
Angle A and B are congruent
Step-by-step explanation:
The given parameters are;
Quadrilateral ABCD = Parallelogram
Side AB is parallel to CD
Therefore, we have for properties of a parallelogram
Opposite sides are parallel
Therefore, AB and CD are opposite sides
Opposite sides are congruent
Opposite angles are congruent, therefore ∠A and ∠C are congruent and ∠B and ∠D are congruent (depending on the orientation of side CD)
Consecutive angles are supplementary, therefore, ∠A and ∠B are supplementary angles and ∠C and ∠D are supplementary angles
Therefore, the statement which is false is Angle ∠A and ∠B are congruent.
PLS HELP
Which of the following is a true statement regarding the quadratic formula form of the solutions to a quadratic equation?
The solutions x=4±85√2 must be left in exact form.
The solutions x=4±85√2 are in simplest form.
The solutions x=4±85√2 can be simplified to x=2±45√.
The solutions x=4±85√2 can be simplified to x=2±85√.
Answer:
The solutions x=4±85√2 must be left in exact form.
Step-by-step explanation:
The quadratic formula -b ±√b^2- 4ac/2a will always give us solutions in the form; m±n√q, where m,n and q are integers.
These solutions must always be presented in its exact form, that is, with the square roots in it. Hence the solutions x=4±85√2 are in its exact form.