Answers
9514 1404 393
Answer:
(i) x° = 70°, y° = 20°
(ii) ∠BAC ≈ 50.2°
(iii) 120
(iv) 300
Step-by-step explanation:
(i) Angle x° is congruent with the one marked 70°, as they are "alternate interior angles" with respect to the parallel north-south lines and transversal AB.
x = 70
The angle marked y° is the supplement to the one marked 160°.
y = 20
__
(ii) The triangle interior angle at B is x° +y° = 70° +20° = 90°, so triangle ABC is a right triangle. With respect to angle BAC, side BA is adjacent, and side BC is opposite. Then ...
tan(∠BAC) = BC/BA = 120/100 = 1.2
∠BAC = arctan(1.2) ≈ 50.2°
__
(iii) The bearing of C from A is the sum of the bearing of B from A and angle BAC.
bearing of C = 70° +50.2° = 120.2°
The three-digit bearing of C from A is 120.
__
(iv) The bearing of A from C is 180 added to the bearing of C from A:
120 +180 = 300
The three-digit bearing of A from C is 300.
Related Questions
writie any assay about challenges of teaching mathematics on 21st century
Answers
I need help with this please
Answers
Answer:
26. 35
27. 65
28. 13
Step-by-step explanation:
26. The big angle POR is given as 59 and the smaller angle inside it (POQ) is given as 24. Since the angles POQ and QOR add up to the angle POR,
QOR = POR - POQ | 59-24 = 35
27. We are given the angles of all the smaller angles in the large angle POS. POQ, QOR and ROS are 19, 31 and 15 respectively. Since all of them add up to create the angle POS, POS = 19+31+15 = 65
28. We can use the second and third given angles (POR and POQ) to find the QOR which we can then use to find ROS. This first step is very similar to 26. We are given POR as 61 and POQ as 28, therefore QOR = 61-28 = 33
Since we now know QOR and QOS, we can repeat the process and deduct that because the two smaller angles add up to the bigger one (QOS), we can find ROS by subtracting QOR (from above) from the given QOS (46):
46 - 33 = 13
Hope this helped!
A(6, -5) and B(-1, 2) in the ratio of 2:5
Answers
Answer:
p(x,y)= (4,-3)
Step-by-step explanation:
all explainations are in the picture below.
Find the value of each expression.
30 ÷ 3 × 2
Answers
Answer:
Step-by-step explanation:
1) First division has to be done.
2) After that multiplication has to be done.
30 ÷ 3 * 2 = 10 * 2
= 20
Answer:
20
Step-by-step explanation:
30 ÷ 3 × 2
(Since it’s division and multi platoon, we just go left to right)
10 × 2
20
[tex] \frac{2}{3} \times \frac{2}{3} \times \frac{2}{3} = what[/tex]
Answer I'll make and mark as brainlist.
Answer Fast.
Post on - 2 Aug 2021
Answers
——
3^3
............
Sarah downloads movies from a website that charges a $10 membership fee plus $1 for every movie downloaded. Lisa downloads movies from a different website that charges a $5 fee per month and $2 for each movie downloaded. These equations represent this situation. y = x + 10 y = 2x + 5
Answers
Step-by-step explanation:
Sarah downloads movies from a website that charges a $10 membership fee plus $1 for every movie downloaded. Lisa downloads movies from a different website that charges a $5 fee per month and $2 for each movie downloaded. These equations represent this situation. y = x + 10 y = 2x + 5 In the equations, which are drawn on the graph, x represents the number of movies downloaded and y represents the money spent.
PLEASE HELP! ASAP Thanks xoxo!
Answers
Step-by-step explanation:
For the question in:First Picture -Answer is 115°
Second Picture-Answer is Definition of parallelogram
Third Picture -Answer is 114°
Explain how to graph a scatterplot and its regression line using a regression calculator.
Answers
Answer:
Before entering data into the regression calculator, it is important to determine which variable should be associated with the x-axis and which with the y-axis. Enter the data pairs. Press the Linear Regression button to generate the regression line.
Step-by-step explanation:
edg 2022
Please find the answer !
Answers
Answer:
ring volume is 12cm3
Step-by-step explanation:
Lr ccm=volume of water and ring - Volume of water
ring cubic centimeters =x
x=9.2cm*4.5cm*7cm - 8.8cm*4.5cm*7cm
x=289.2cm3 - 277.2cm3
x=12cm3
8.113 as a fraction PLEASE HELPP
Answers
Answer:
8 113/1000(as a mixed number) 8113/1000(as an improper fraction)
Step-by-step explanation:
1. Convert 0.113 to a fraction...113/1000
2. As there is no further simplification needed, add 8 to 113/1000....8 113/1000
3. To convert 8 113/1000 from a mixed number to an improper fraction, multiply 8 (the whole number) and 1,000(the denominator)...8,000. Then add 113 (the numerator) to 8,000...8113. After that, you put 8113 over the denominator of the previous mixed number, getting 8113/1000 as the improper fraction.
Find the length of DM
Answers
Answer:
67
Step-by-step explanation:
DM=JM-JD=84-17=67
Answer:
Step-by-step explanation:
Need help on this please
Answers
Awnser: 1/9
Hope ir helps! :D
1-1 = 0
12-6 = 6
0+1 = 1
6 +3 = 9
1/9!!!
La'Vonn rolled a die 100 times. His results are below. What is the relative frequency for La'Vonn rolling a 3?
Answers
Answer:
.15
Step-by-step explanation:
Nicole took a taxi from her house to the airport. The taxi company charged a pick-up fee of $2.90 plus $1.75 per mile. The total fare was $44.90, not including the tip. Write and solve an equation which can be used to determine xx, the number of miles in the taxi ride.
Answers
9514 1404 393
Answer:
24 miles
Step-by-step explanation:
The total fare is the sum of the pickup fee and the mileage charge. For xx miles, the mileage charge will be 1.75xx, so the total is ...
1.75xx +2.90 = 44.90 . . . equation for xx
1.75xx = 42.00 . . . . . subtract 2.90
xx = 24 . . . . . . . . . divide by 1.75
The number of miles in Nicole's taxi ride was 24.
The expression 2(l + w) is used to calculate the perimeter of a rectangle, where l is length and w is width. If the length is Fraction 2 over 5 unit and the width is Fraction 1 over 5 unit, what is the perimeter of the rectangle in units?
Fraction 3 over 5 unit
1 unit
1Fraction 1 over 5 units
2Fraction 3 over 5 units
Answers
Answer:
Step-by-step explanation:
L = ⅖ unit
W = ⅕ unit
L+W = ⅗ unit
Perimeter = 2×⅗ = 6/5 units = 1⅕ units
Answer:
L = ⅖ unit
W = ⅕ unit
L+W = ⅗ unit
Perimeter = 2×⅗ = 6/5 units = 1⅕ units
Step-by-step explanation:
Simplify i12
A.-1
B.-i
C.i
D.1
Answers
Answer:
D 1
Step-by-step explanation:
i^12
We know i^4 = 1
Rewriting
i^4^3
1^3
1
Answer:
part 1- D. 1
part 2- Square root of -144 =12i
Step-by-step explanation:
Got them correct
A macaroni and cheese recipe calls for 2/5 of a 2 1/2 pound a block of cheese. How many pounds are needed?
Answers
I
2/5 of 2.5. = 2x2.5 / 5x1 = 5/5 = 1 pound
rmined that her father’s age is four less than three times her age. If a represents Marcy’s age, which expression represents her fathers age?
Answers
Answer:
3x - 4 is the expression that will represent her father's age
please solve it fastand give the correct answer pleaseeeeee
Answers
Answer:
a. False b. True c. True d. False e. False
Step-by-step explanation:
find the surface area of the prism HURRY
Answers
Answer:
Does the answer help you?
If 2m−6=8m
2
m
-
6
=
8
m
then 3m=
3
m
=
A. 3
B. -1
C. -3
D. -6
E. I don't know.
Answers
Answer:
3m = -3
Step-by-step explanation:
2m−6=8m
Subtract 2m from each side
2m−6-2m=8m-2m
-6 = 6m
Divide by 6
-6/6 = 6m/6
-1 = m
3m = 3(-1) = -3
2m - 6 = 8m
2m - 8m = 6
-6m = 6
m = -6/6
m = -1
Hence, the answer is -1Write each decimal as a fraction or mixed number in simplest form.
1 3/8
Answers
3/2
Step One: 1 3/8, transform the number into a improper fraction:
To have a mixed number in to a improper fraction, you need to use addition and multiplication. For 1 3/8, We first multiply the denominator (8, also know to be the bottom number of the fraction) to the whole number (1). 8x1= 8NOTE: The original denominator (8) will be use for are improper, again playing as the denominator, we only multiply the denominator for the numerator (which is the top number of a fraction).After multiplying, we'll add are product with the numerator (3) for the process. 8+3= 12 Now we have both numerator and denominator for 1 3/8, we can create the improper fraction. 12 as the numerator and 8 as the denominator. 12/8We still need to simplify the number. To that, we need the biggest whole number, or rather I call it the lowest number, that can be divide both in 12 and 8. 4 can be divide by both number so: 12/4= 3 and 8/4=2Now 3 is are simplify numerator and 2 is are simplify denominator.
Find two consecutive whole numbers that ✓39 lies between.
Answers
Answer:
6 and 7
Step-by-step explanation:
6^2 = 36 which is less than 39
7^2 = 49 which is more than 39
So the two numbers you want are
x = 6
y = 7
Graph the line.
Y=-1/4x+4
Answers
What is the relationship between the value of the digit 3 in 4,231 and in the value of the digit 3 in the number 3,421?
A.
In 4,231, the value of the digit 3 is
1
10
the value of the digit 3 in 3,421.
B.
In 4,231, the value of the digit 3 is 10 times the value of the digit 3 in 3,421.
C.
In 4,231, the value of the digit 3 is
1
100
the value of the digit 3 in 3,421.
D.
In 4,231, the value of the digit 3 is 100 times the value of the digit 3 in 3,421.
Answers
Answer D
Step-by-step explanation:
looks right
(-t^3+5t^2-6t)+(8t^2-8t)
Answers
Answer:
-t^3+13t^2-14t
Step-by-step explanation:
(-t^3+5t^2-6t)+(8t^2-8t)
Combine like terms
-t^3+5t^2+8t^2-6t-8t
-t^3+13t^2-14t
What is the value of x in the geometric sequence x,3,−1/3
Answers
Answer:
x=27
Step-by-step explanation:
the answer is proved in the diagram above
The value of x is 27
What is Geometric progression?A geometric progression is a special type of progression where the successive terms bear a constant ratio known as a common ratio. It is also known as GP. The GP is generally represented in form a, ar, ar2.... where a is the first term and r is the common ratio of the progression. The common ratio can have both negative as well as positive values. To find the terms of a geometric series, we only need the first term and the constant ratio.
The geometric progression is of two types. They are
finite geometric progression andinfinite geometric progression.Given:
x,3,−1/3
First term, a
second term
ar= 3
a= 3/r
third term
ar² = -1/3
a= -1/3r²
So,
3/r= - 1/3r²
9r= 1
r= 1/9
So,
ar= 3
a= 27.
Learn more about Geometric progression here:
https://brainly.com/question/4853032
#SPJ2
Which box holds more popcorn?
Answers
Answer:
Amanda's popcorn container holds more popcorn
Step-by-step explanation:
First we'll have to find the volume.
The Volume helps us determine which is bigger.
Step 1
We'll find Amanda's popcorn container
10cm*10cm*13.5cm=1350cm
Step 2
We'll find Mary's popcorn container
8cm*8cm*20cm=320cm
Step 3
Since Amanda's popcorn container has 1350cm (volume) and Mary's popcorn container has 320cm (volume) we'll have this. 1350cm>320cm. We can determine the Amanda's popcorn container has holds more,
Final Answer
Amanda's popcorn container holds more popcorn
Which of the following ordered pairs is a solution of the function f(x)=3x-1
Answers
Factorise 24e^2-28e-12
Answers
Answer:
4(2e - 3)(3e + 1)
Step-by-step explanation:
Given
24e² - 28e - 12 ← factor out 4 from each term
= 4(6e² - 7e - 3) ← factor the quadratic
Consider the factors of the product of the e² term and the constant term which sum to give the coefficient of the e- term.
product = 6 × - 3 = - 18 and sum = - 7
The factors are - 9 and + 2
Use these factors to split the e- term
6e² - 9e + 2e - 3 ( factor the first/second and third/fourth terms )
= 3e(2e - 3) + 1 (2e - 3) ← factor out (2e - 3) from each term
= (2e - 3)(3e + 1)
Then
24e² - 28e - 12 = 4(2e - 3)(3e + 1) ← in factored form
