Directions: Read each problem, then solve for the missing part(s).
13. A pilot flying over the Norfolk airport is told he will have to redirect and land in either Richmond or
Raleigh. Due to air traffic, he is then told he must land in Raleigh. Find the distance he will travel.
Answers
I have attached an image showing the triangle with angle and distance depicted in the question.
Answer:
151 miles
Step-by-step explanation:
We have to first find the unknown angle in the triangle.
Sum of angles in a triangle is 180°.
Thus, if we call angle at Norfolk A, we have;
A = 180 - (83 + 31)
A = 66°
Using sine rule, we can find the distance which we will term as a.
Thus;
a/sin 83 = 139/sin 66
a = (139 × sin 83)/sin 66
a = 137.963915/0.913545
a ≈ 151 miles
Related Questions
Jasmine began completing the table below to represent a particular linear function.
a. Complete the table and find the rate of change for the function
Rate of change:
b. Create a graph and write an equation to represent this function
Answers
Answer:
Step-by-step explanation:
Rate of change = Slope of line
Use the coordinates of two points to find the slope of the line.
Slope of line through (2,5) and (0,1) = (5-1)/(2-0) = 2
(0,1) is a point on the line, so the y-intercept is 1.
Slope-intercept equation of the line: y = 2x+1
Use the equation to fill in the rest of the table:
x = -2, y = -3
x = ½, y = 2
x = 1, y = 3
x = 3, y = 7
In an arithmetic sequence Sn=n^2SN=N^2-2N .USE formula (Tn=Sn-Sn-1) to determine the value of Tn
Answers
Answer:
[tex]T_n = 2n -3[/tex]
Step-by-step explanation:
Given
[tex]S_n = n^2- 2n[/tex]
[tex]T_n = S_n - S_{n-1[/tex]
Required
Find [tex]T_n[/tex]
[tex]S_n = n^2- 2n[/tex]
Calculate [tex]S_{n-1[/tex]
[tex]S_{n-1} = (n-1)^2- 2(n-1)[/tex]
[tex]S_{n-1} = n^2-2n+1- 2n+2[/tex]
[tex]S_{n-1} = n^2-2n- 2n+1+2[/tex]
[tex]S_{n-1} = n^2-4n+3[/tex]
[tex]T_n = S_n - S_{n-1[/tex] becomes
[tex]T_n = n^2 - 2n - (n^2 - 4n +3)[/tex]
[tex]T_n = n^2 - 2n - n^2 + 4n -3[/tex]
[tex]T_n = n^2 - n^2- 2n + 4n -3[/tex]
[tex]T_n = 2n -3[/tex]
A college basketball player makes 5/6 of his free throws. Assuming free throws are independent, the probability that makes exactly three of his next four free throws if
Answers
Answer:
if he got hops
Step-by-step explanation:
If Sam's present age is x years, what will be his age in years after 20 years from now?
31 x + 20
x - 20
20x
x/20
Answers
explanation: it jus be like that
Find the volume of the composite figure. First, find the volume of the triangular prism. 4 cm Triangular prism Volume = [?] cm 5 cm 5 cm 6 cm Rectangular prism Volume = [ ] cm? 10 cm Total Volume of Composite Figure = [ ]cm 8 cm Enter
Answers
Answer: See attached image.
The total volume of the composite figure is 530 cm³.
To find the volume of the composite figure, we need to calculate the volumes of the individual prisms and then add them together.
Triangular Prism:
The volume of a triangular prism is given by the formula:
Volume = base area × height
The base of the triangular prism is a triangle with a base of 5 cm and a height of 5 cm.
Therefore, the base area is:
Base area = (1/2) × base × height = (1/2) × 5 cm × 5 cm = 12.5 cm².
Now, we can calculate the volume of the triangular prism:
Triangular prism volume = base area × height = 12.5 cm² × 4 cm = 50 cm³.
So, the volume of the triangular prism is 50 cm³.
Rectangular Prism:
The volume of a rectangular prism is given by the formula:
Volume = length × width × height.
Given the dimensions of the rectangular prism as length = 6 cm, width = 10 cm, and height = 8 cm, we can calculate its volume:
Rectangular prism volume = length × width × height = 6 cm × 10 cm × 8 cm = 480 cm³.
So, the volume of the rectangular prism is 480 cm³.
Total Volume of Composite Figure:
To find the total volume of the composite figure, we add the volumes of the individual prisms:
Total Volume = Triangular prism volume + Rectangular prism volume = 50 cm³ + 480 cm³ = 530 cm³.
Therefore, the total volume of the composite figure is 530 cm³.
Learn more about composite figure click;
https://brainly.com/question/27234680
#SPJ6
Solve showing all the steps
Answers
Answer:
Step-by-step explanation:
Is the second exponent 6, or 6x ?
If it is 6x, then x = -½
[tex]3= \frac{f}{6} -1[/tex]
Answers
Answer:
f=24
Step-by-step explanation:
3 = f/6 - 1
Multiply both sides of the equation by 6.
18=f−6
Swap sides so that all variable terms are on the left hand side.
f−6=18
Add 6 to both sides.
f=18+6
Add 18 and 6 to get 24.
f=24
Help please asap. Also please teach how to do this type of problem
Answers
Answer:
[tex]64m^{2}[/tex]
Step-by-step explanation:
TSA (total surface area) of cuboid= 2(lw+wh+hl)and the problem said one small cube with 1m width that means it also has 1m length and height
so lets count the cubes for the height, length and width
Height contains 4 cubes (4m)Length contains 4 cubes also (4m)Width contains 2 cubes (2m)Now lets put the givens we got from the figure in the formula of TSA
2*(4*2+4*2+4*4)=64
Quadratic formula 3x^2 - 2x + 5 = 0
Answers
Step-by-step explanation:
The given quadratic equation is :
[tex]3x^2 - 2x + 5 = 0[/tex]
We need to solve the given equation. The formula used to solve a quadratic equation is :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have, a = 3, b = -2 and c = 5
So,
[tex]x=\dfrac{-(-2)\pm \sqrt{(-2)^2-4(3)(5)}}{2(3)}\\\\x=0.333,4.667[/tex]
Hence, this is the required solution.
two cars drive on the same highway in the same direction the graphs show the distance d of each one as a function of time t which car drives faster explain how you know
Answers
Answer:
lol dont know
Step-by-step explanation:
Tyshawn drew a two-dimensional shape. The shape had multiple sides. The
shape had only right angles. There are two pairs of parallel lines. One pair is 4 inches
Answers
Answer:
This is a rectangle
Step-by-step explanation:
2D shape with 4 right angles would be a rectangle because 2 sides are equal and the other 2 would be equal to give you 4 right angles
Factorise the following.
Answers
Answer:
Q.1 14x³ by 42x²
= 14x³/42x²
= x/3
Q.2 11xy²z³ by 55xyz
= 11xy²z³/55xyz
= 1/5yz²
Is this correct if not can someone give me the answer I will mark u brilliant
Answers
Answer: the first one is 735.75
the second one is 69
Step-by-step explanation:
THEY ARE BOTH CORRECT!
Answer: They are both correct. Good job! :)
Step-by-step explanation:
4. A savings account is started with $10,000. Calculate the
current value of the account in 5 years for both of the
following scenarios.
(a) Interest is earned at a rate of 2.3% and is compounded
monthly,
Answers
Answer:
$1217.50Step-by-step explanation:
Given:
Principal P = $10000Interest rate r = 2.3% = 0.023Compound number n = 12Time t = 5 yearsInterest amount is:
I = P(1+ r/n)^(nt) - PI = 10000(1 + 0.023/12)^60 - 10000 = $1217.50HURRY AND ANDWER ASAP PLZ answer with work plz and thanks
A cap and a shirt together costs 22.52. If the shirt costs three times as much as the cap how much did each item cost?
Answers
x + 3x = $22.52
4x = $22.52
x = $22.52/4
x = $5.63
Test it. If a cap costs $5.63 and a shirt costs 3x that of the cap, the shirt costs $16.89.
The cost of a cap and a shirt is equal to $5.63 + $16.89 = $22.52
CAN SOMEONE ANSWER THIS! Find the lateral surface area of the cylinder. Round your answer to the nearest hundredth. A) 315.04 in2 B) 370.62 in2 C) 395.84 in2 D) 408.92 in2
Answers
Answer:
C) 395.84 in^2
Step-by-step explanation:
I took the test
Make a the subject of formula b=a^2/(a+c)^2
Answers
Answer:
[tex] \orange { \bold{a = \frac{c \sqrt{b} }{(1 - \sqrt{b}) } }}[/tex]
Step-by-step explanation:
[tex]b = \frac{ {a}^{2} }{ {(a + c)}^{2} } \\ \\ b = \bigg(\frac{ {a} }{ {a + c}} \bigg)^{2} \\ \\ \sqrt{b} = \frac{a}{a + c} \\ \\ (a + c) \sqrt{b} = a \\ \\ a \sqrt{b} + c \sqrt{b} = a \\ \\ a \sqrt{b} - a = - c \sqrt{b} \\ \\ a( \sqrt{b} - 1) = - c \sqrt{b} \\ \\ a = \frac{ - c \sqrt{b} }{( \sqrt{b} - 1)} \\ \\ \purple{ \bold{a = \frac{c \sqrt{b} }{(1 - \sqrt{b}) } }}[/tex]
(-3, 3), (1, 1), (0 -2), (1, -4), (5, -1) domain and range
is it a function
Answers
{−3, 1, 0, 5}
Range:
{3, 1,−2,−4,−1}
Divide. Write the quotient in lowest terms, 1 1/3 divided by 1 3/4. Please give a thorough explanation as i need help to figure out how to solve problems of this caliber.
Answers
Answer:
Step-by-step explanation:
convert mixed fractions to improper fractions
rule=a b/c=(ac+b)/c
(1 1/3)/(1 3/4)
(4/3)/(7/4)
rule for dividing fractions=(a/b)/(c/d)=(a/b)(d/c)
(4/3)(4/7) then you can multiply the numerators and denominators
16/21
Which group contains triangles that are similar. im having a hard time
Answers
Answer:
1st group contains triangles that are similar
Step-by-step explanation:
since its opposite corresponding angle are equal.
A boat travels 20 miles in 5 hours
(with a constant speed). How far can it
travel in 53 hours (with the same
speed)?
Answers
Answer:
212 miles
Step-by-step explanation:
the boat is going 4mph so in 53 hours it would be 212mi
In the figure below,
Answers
Answer:
m<GLK = 58°
Step-by-step explanation:
Given:
m<GLH = 2x + 6
m<HLJ = x
Required:
m<GLK
Solution:
First, find the value of x
m<GLH + m<HLJ = 180° => Linear Pair Theorem
Substitute
2x + 6 + x = 180
Add like terms
3x + 6 = 180
3x + 6 - 6 = 180 - 6
3x = 174
3x/3 = 174/3
x = 58
m<HLJ = x = 58°
Thus, m<HLJ and m<GLK are Vertical angles.
Therefore:
m<GLK = m<HLJ (Vertical angles theorem)
m<GLK = 58° (Substitution)
5.) Find the product of:
39.06 x 0.3
Answers
Answer:
11.718
Step-by-step explanation:
Answer given above. Pls check
Answer:
11.718
Step-by-step explanation:
I don't know, figure it out yourself.
What is the value of 3n-1 when n 20?
Answers
Answer:
59
Step-by-step explanation:
3*20-1=59
Steps:
1.) 3(20) - 1
2.) 60 - 1
3.) 59
Value of 3n - 1 when n = 20 is 59
Solve for the unknown in the following diagram. Round the answer to two decimal places.
degrees
Answers
Answer:
x° ≈ 71.69°
Step-by-step explanation:
1) Ms. Bonanno goes to the gym every 2 days. Ms. Zabo goes to the gym every
3 days. They both went to the gym on May 1. What is the next day Ms.
Bonanno and Ms. Zabo will be at the gym at the same day?
Answers
Answer:
may 6th
Step-by-step explanation:
2+3=5 so if they when on the 1st and 2 +3=5 1+5=6
The political opinion organization hired 100 new employees, which increases its staff by 40%. What was the original number of employees?
Answers
Answer:
40(?)
I don't remember exactly if that's correct, but I hope it's right! Comment if you want the explanation
100 = 0.4x
250 employees
Check:
250 x 0.4 = 100
help me pleasee :) u get 15 points lol
Answers
Answer:
B
Step-by-step explanation:
Hey There!
To solve this problem we are going to use distributive property
We are going to distribute the -8 to what's inside of the parenthesis (10x and -3)
10xx-8=-80x
-8x-3=24
were left with
-80x+24
hope this helps!
HELP DONT UNDERSTAND THIS
Answers
Given:
A diagram of two triangles.
To find:
Check whether the triangles are similar or not.
Solution:
In triangle ABC and triangle UVT,
[tex]\angle A\cong \angle U[/tex]
[tex]\angle B\cong \angle V[/tex]
Two corresponding angles of the triangles are congruent. So,
[tex]\Delta ABC\sim \Delta UVT[/tex] (AA property of similarity)
Therefore, the given triangles are similar by AA property of similarity.
decide which of the following sets of points.
Answers
Answer:
Im pretty sure that the answer would be choice f.
Step-by-step explanation:
(a) {T, P, E}: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.
(b) {A, B, D, M}: Coplanar. These points lie on the same plane since they are contained within the drawing.
(c) {B, K, C}: Collinear. These points lie on the same line within the drawing.
(d) {A, K, E}: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.
(e) {M, K, T}: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.
(f) {A, Q, P, D}: Coplanar. These points lie on the same plane since they are contained within the drawing.
EM, P, B: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.
EM, P, B: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.
To know more about "Coplanar." here
https://brainly.com/question/24430176
#SPJ2
