Using the slope concept, it is found that the distance the plane traveled from point A to point B was of 18052.4 ft.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
At point A, the vertical change is of 7475 ft, with an angle of 16º, hence the equation below can be solved to find the position:
[tex]\tan{16^\circ} = \frac{7475}{x_A}[/tex]
[tex]x_A = \frac{7475}{\tan{16^\circ}}[/tex]
[tex]x_A = 26068.4[/tex]
At point B, the angle is of 43º, hence:
[tex]\tan{43^\circ} = \frac{7475}{x_B}[/tex]
[tex]x_B = \frac{7475}{\tan{43^\circ}}[/tex]
[tex]x_B = 8016[/tex]
Hence, the distance in feet is given by:
[tex]d = x_A - x_B = 26068.4 - 8016 = 18052.4[/tex]
More can be learned about the slope concept at https://brainly.com/question/18090623
Two angles of a quadrilateral measure 125° and 35°. The other two angles are in a ratio of 3:5. What are the measures of those two angles?
Answer:
120° and 80°
Step-by-step explanation:
quadrilateral = 360°
125° + 35° = 160°
360° - 160° = 200°
3/5 of 200° = 120°
200° - 120° = 80°
Answer:
Step-by-step explanation:
Finding the missing angles of quadrilateral:
Ratio of other two angles = 3 : 5
Other two angles are 3x , 5x
Sum of all angles of quadrilateral = 360
125 + 35 + 3x + 5x = 360
Combine like terms
160 + 8x = 360
Subtract 160 from both sides
8x = 360 - 160
8x = 200
Divide both sides by 8 to isolate x
x = 200/8
x = 25
5x = 5*25 = 125
3x = 3*25 = 75
The other two angles are 125° , 75°
Which is an equation of the line that passes through the points (5, 2) and (10, -3)? HELP
Answer:
y = − x + 7
Step-by-step explanation:
let D be the line that passes through the points (5, 2) and (10, -3)
Then D has an equation of the form D: y = mx + p
Now we need to find m and p in order to be able to write the equation of the line D:
[tex]m = \frac{2-(-3)}{5-10} = \frac{5}{-5} = -1[/tex]
Since the point (5 , 2) lies on the line D then :
2 = -1 × (5) + p
then
2 = -5 + p
then
p = 2 + 5
= 7
then
p = 7
Conclusion:
Since m = -1 and p = 7
then
[tex]D : y = -x + 7[/tex]
What is the measure?
Answer:
180 - 70 = 110 degrees
Step-by-step explanation:
180 is half a circle, so the half minus 70 is 110
What's the area for ABC?
Answer:
14
Step-by-step explanation:
7(length) times 4(height) equals 28
28/2= 14
Larinda cooked a 4-kilogram the roast leftover after the meat weighed 3 kilograms how many grams of roast were eaten during that meal
4 (originally) - 3 (leftover) = 1 KG (eaten)
1* ( 1000) = 1000g
(there is 1000g in 1 KG)
A piece of string is 144 inches long. Isabel wants to cut it into 2 pieces so that one piece is five times as long as the other. How long is each piece?
Answer:
24 inches120 inchesStep-by-step explanation:
The lengths can be found by considering their ratio:
short : long = 1 : 5
The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.
The lengths are ...
1 : 5 = 24 in : 120 in
The pieces are 24 inches and 120 inches in length.
__
Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...
s +5s = 144
s = 144/6 = 24
5s = 5(24) = 120
The lengths are 24 inches and 120 inches.
help! p(x) = 4x^4 - 10x^3 + 8x - 1
x = 8
Answer:
p(8) = 11,327
Step-by-step explanation:
Hey there!
In order to find the answer, all we need to do is subtitute the x values for 8
After substituting, the equation will look like this:
[tex]p(8)=4(8)^4-10(8)^3+8(8)-1[/tex]
Now we simplify
8 to the power of four is 4096 and when you multiply that by 4, you get 16384
8 to the power of 3 is 512 and when you multiply that by -10, you get -5120
8 times 8 is 64
And then there is -1
Now all we have to do is combine all the answers together for one final answer
16384-5120+64-1 is equal to 11327
So the output of this function when you input 8 is 11,327
What is the area of the figure?
the measure of an angle is 65 what is the measure of its complementary angle
Answer:
25 degrees
Step-by-step explanation:
complementary angles are 90 degrees
90-65=25 degrees
Type the expression that
results from the following
series of steps:
Start with n, subtract 5,
multiply by 4, then add 7.
Answer:
I think it is (n - 5) x 4 - 7, but I am not sure.
Line a passes through the points (-2,1) and (1,-1). Line b passes through the points (-3,2) and (-1,0). DO lines a and b intersect? Explain.
Answer:
You can draw a graph.
(-3,2) |
(-2,1) |
___.__(-1,0)__ | __.____.___
| (1,-1)
|
|
As shown, the lines are intersecting. You can also tell that they are intersecting because if you draw a triangle, they are on the same line. (-3,2) and (-2,1) are directly diagonally from each other.
Hope this helps!
bryan is a salesman in a buy and sell who earns 3 1/2% commission on every item he sell. if he sold a total of 150,000 how much is his commision
with solution please
Answer:
If commission is 31/2 percent check first image else go through second picture
What is the decimal for 4/100?
What is the Answer
Answer:
0.04
Step-by-step explanation:
Have a nice day!
Simply just take 4 divided by 100 -> 4 : 100 = 0.04
Amy has 5.26 more pounds of apples than Shelly. Shelly has 4.87 pounds of apples. How many pounds of apples does Amy have?
Answer:
According to my calculation it came like this.Hope the picture will help you.
Because the points have the same x-coordinate, the distance between the two points is a vertical distance. The distance from the ordered pair (−4,−3) to the x-axis is the absolute val
ue of it's y-coordinate. What is the absolute value of the y-coordinate in the ordered pair (−4,−3)?
Answer:
3
Step-by-step explanation:
The distance from a point to the x axis is the absolute value of its y-coordinate as it mentioned in the problem.
So take the y-coordinate, -3, and find the absolute value by making the number positive. Absolute values are always positive.
Solve the following system of equations using elimination.
X + 2y = 5
3x + 5y = 14
Answer:
x = 3
y = 1
Step-by-step explanation:
x + 2y = 5 ------------(1)
3x + 5y = 14 ---------(2)
(1) × 3 : 3x + 6y = 15 ------ (3)
(3) - (2) : y = 1
y = 1, x + 2(1) = 5
x = 3
Find the value of x
A. 8
B. 4
C. 19
D. 2
2x+35=5x-22
2x-5x=-22-35
-3x=-57
3x=57
x=57/3
x=19
Find the perimeter and total area of the composite shape shown below. All measurements are given in inches. Use z = 3.14 in any formulas used.
Perimeter = 52.56 inches, Area = 162.24 square inches
Perimeter = 65.12 inches, Area
162.24 square inches
Perimeter = 46.28 inches, Area = 137.12 square inches
Perimeter = 52.56 inches, Area = 137.12 square inches
answer:
d
perimeter = 52.56 inches
area = 137.12 square inches
The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.
The composite shape with trapezium and semicircle is given.
What is the perimeter?The perimeter of a shape is defined as the total distance around the shape. It is the length of the outline or boundary of any two-dimensional geometric shape. The perimeter of different figures can be equal in measure depending upon the dimensions.
The total perimeter = Perimeter of trapezium + Circumference of semicircle
Perimeter of trapezium = (8+10+10+20)
= 48 inches
Circumference of semicircle =πr
Here radius=8/2
= 4 inches
Now, 3.14×4 =12.56 inches
The total perimeter = 48+12.56
= 60.56 inches
Total area= Area of trapezium + Area of semicircle
Area of trapezium =1/2 (a+b)×h
= 1/2 (20+8)×8
= 28×4
= 112 square inches
Area of semicircle =πr²/2
= (3.14×4²)/2
= 25.12
Total area= 112+25.12
= 137.12 square inches
The total perimeter of the given figure is 60.56 inches and the total area of the given figure is 137.12 square inches. Therefore, option D is the correct answer.
To learn more about the perimeter visit:
https://brainly.com/question/6465134.
#SPJ2
Mike argues the following side lengths can make a triangle. Sam says he is incorrect. Who is correct and why? 3m, 5m, 10m
Answer:
Sam is correct
Step-by-step explanation:
The third side is the one with greatest length. To make a triangle the other two lengths have to be greater than the greatest one when combined.
Hope this Helps.
Answer:
Mike is correct
Step-by-step explanation:
because it has three different side
why 2 is not a solution of x>5
Answer: That's because you have a greater than sign. And if you think about it 2 isn't greater than 5.
In contrast, if you'd had 2<5 (two is less than five) then you would be correct.
I hope this helps!
A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 6 inches and a height of 4 inches. How much wax will the company need to make 140 candles?
Use 3.14 for [tex]\pi[/tex] , and do not round your answer.
Answer:
The company will need 3,360 inches of wax
Step-by-step explanation:
To find how much wax you need per one candle you would do 6in.X4in. which gives you 24in. of wax. Then to find the amount of was for 140 candles you would do 140X24in. to get 3,360 inches of wax.
Please help with this its really hard :(
Answer:
24sq cm
Step-by-step explanation:
What is the area of a circle with a diameter of 4x?
(second question): how to deal with loss of a family member..
please help :)
Answer:4x^2 π
Step-by-step explanation:
Well to solve the area of a circle with diameter with 4x, you need to find the radius which is half the diameter so 4x / 2 = 2x. Then you subsitute that into πr^2 which is 2x^2 π = 4x^2π.I don't have any solution for your second question... sorry...
Hewo!
The answer to your first question: 4x^2 π
To your second..
First, im really sorry about your loss.. it will get better i promise.
But, i would suggest letting it all out. I know its hard right now, so let it out.Get a notebook and keep track of your feelings.. get better soon Lilo..
-Nat
What is the formula for area of a triangle?
Answer:
bh/2
Meaning :
base times height, halfed
Answer:
Step-by-step explanation:
A = hb/2 or 1/2×hb
Where h is the vertical height and b is the base length.
1/2+3/4+4/5 how to solve it please help me i'm waiting
Answer:
41/20
Step-by-step explanation:
or 2 1/20
A state offers specialty license plates that contain 2 letters followed by 3 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system.
A. 82 possible license plates
B. 67,600 possible license plates
C. 676,000 possible license plates
D. 36 possible license plates
please help me do this question in the screenshot. I will give you stars for it!
Let's see
[tex]\\ \rm\Rrightarrow \dfrac{10}{12}\times \dfrac{6}{9}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{5}{6}\times \dfrac{2}{3}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{10}{18}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{5}{9}[/tex]
1. the height of a right triangular prism is inches. each side of the triangular base measures 10 inches, and the height of the base is inches. the triangular prism is placed atop a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube. what is the surface area of the solid formed?
The surface area of the solid formed by the triangular prism and cube will be 598.33 square inches.
What is a prism?A prism is a closed solid that has two parallel bases connected by a rectangle surface.
The height of a right triangular prism is 11/6 inches.
Each side of the triangular base measures 10 inches, and the height of the base is 26/3 inches.
The triangular prism is placed at top of a cube whose side measures 10 inches so that one of the triangular prism’s bases lies completely on one side of the cube.
Then the surface area of the prism will be
[tex]\rm Surface \ area = 5 \times (10 \times 10) + 0.5 \times 10 \times \dfrac{26}{3} + 3 \times 10 \times \dfrac{11}{6}\\\\\\Surface \ area = 598.33\ in^2[/tex]
More about the prism link is given below.
https://brainly.com/question/12649592
Using the following expression. Are there any values of x that makes the expression undefined? Explain your reasoning.
Answer
x=-2
Step-by-step explanation:
If x was equaled to -2 the outcome would be infinity, does this help at all?
Answer:
Step-by-step explanation:
Yes, there are certain values of x that makes given expression undefined in the set of real numbers.
x + 2 ≤ 0 ⇒ x ≤ - 2
If x ∈ ( - ∞ , - 2 ] , given expression is undefined.
Find the distance between (−3, 8) and (4, 1). Round your answer to the nearest tenth.
In distance units.
GIVING TONS OF BRAINIEST!!
Answer:
[tex]7\sqrt{2}[/tex] to the nearest tenth would be, 9.9
Step-by-step explanation:
Use distance formula:
(-3-4)^2 + (8-1)^2 all under square root.
49 + 49
[tex]\sqrt{98\\[/tex]
Which simplifies to 7[tex]\sqrt{2\\}[/tex]
Hope this helps,
Feel free to mark this brainliest! :)
the answer is 5.099 rounded too 5.1
