X, Y and Z are three points on a map. Y is 43km and on a bearing of 041° from X. Z is 67km and on a bearing of 117° from X. Calculate the distance between Y and Z rounded to 1 DP

Answers

Answer 1

Answer:

70.3km

Step-by-step explanation:

When the bearings are visualized and the points connected as a triangle, The angle x would be the difference of the both bearings from x

i.e 117-41 = 76

Using cosine rule,

YZ²= 43² + 67² - 2 x 43 x 67

cos76

YZ= √4944

= 70.3


Related Questions

can someone help ill give more points if its right

Answers

Answer:

C=3/2

Step-by-step explanation:

change the fractions into decimals and you get .75 and .50

75/50 is simplified to 3/2.

*PLEASE ANSWER I DONT GET IT*

What is a deduction?

a.) An allowance you can use for tax purposes.

b.) Money that you have to pay for Medicare.

c.) Part of your salary.

Answers

Answer:

A

Step-by-step explanation:

im pretty sure im right

Answer:

c.) Part of your salary.

Step-by-step explanation:

In ΔMNO, the measure of ∠O=90°, the measure of ∠M=11°, and NO = 80 feet. Find the length of OM to the nearest tenth of a foot. Please show work.

Answers

Answer:

OM = 411.56 ft

Step-by-step explanation:

tan 11 = 80/x

0.1944 = 80/x

x = 411.56 ft

What is the solution to the equation below? Round your answer to two decimal places. 6 • e^x =25

A. X= 1.43
B. X= 0.62
C. X=64.50
D. X= 11.33

Answers

Answer:

5

Step-by-step explanation:

i think 5= 25 divided 5 or 2 decimal point

Is the answer one solution, infinite solutions or no solution?

Answers

Answer:

infinite

Step-by-step explanation:

after distributing:

56x-40 = 56x-40

if both sides are equal then there are infinite values of 'x' that will make the equation true

Answer:

Step-by-step explanation:

infinite solutions

(−∞,∞)

An inspector of school have wishes to distribute 84 balls and 180 bats equally among the number of boys . Find the greatest number recieving the gift in this way

Answers

Answer:

12 boys

Step-by-step explanation:

Given that:

Number of balls to be distributed = 84

Number of bats to be distributed = 180

To obtain the greatest number of boys receiving these items ; obtain the Highest common factor of both numbers ;

84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42 and 84.

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, and 180

The highest common factor here is 12, hence the greatest number of boys receiving the gifts is 12.

A city planner would like to estimate the true mean annual income of all households in the city. She selects a random sample of 50 households and determines that the 99% confidence interval for the true mean annual income of all households in the city to be $42,000–$68,000. Which of these statements is a correct interpretation of the confidence level?

Answers

Answer:

If many random samples of size 50 are selected from all households in the city, approximately 99% of the intervals would capture the true mean household income.

Step-by-step explanation:

EDGE2021

System of equations that have the same slope have what kind of lines?

Answers

Answer:

parallel lines

Step-by-step explanation:

with an infinite number of solutions

Answer:

I think you are intended to answer parallel lines

Step-by-step explanation:

There are two answers to this.

1) The lines could be parallel if their y intercepts are different.

2) The lines are different forms of the same line.

For example

parallel:

y = 3x + 5y = 3x - 2

Different forms of the same line.

y = 4x + 22y = 8x +4

The second condition is termed consistent. The second condition is of 2 lines with the same slope and the same y intercept.

pls help with this question

Answers

Answer:

B, 11

Step-by-step explanation:

The Triangle Angle Sum Theorem states that the interior angle of a triangle adds up to 180 degrees, which means...

90 + 46 + 4x = 180

136 + 4x = 180

4x = 44

x = 11  

Jackie bought 100 stamps. Each stamp cost $0.37. How much did Jackie spend?

Answers

1.06 because I had that question before

If the area of a rectangle is 64cm squared, how many different perimeters are possible when the dimensions are whole numbers

Answers

Answer:

2 different perimeters, 32 cm and 40 cm

Step-by-step explanation:

Given the area of a rectangle is 64 cm squared.

We know, Area of the rectangle is = length x breath

∴  64 = 8 x 8

Hence the sides can be 8 cm by 8 cm.

So the perimeter of the rectangle is = 8 cm + 8 cm + 8 cm +8 cm

                                                            = 32 cm

Also, Area of the rectangle is = length x breath

∴  64 = 16 x 4

So the perimeter of the rectangle is = 16 cm + 4 cm + 16 cm +4 cm

                                                            = 40 cm  

Please give me the correct answer.Only answer if you're very good at math.​

Answers

Answer:

0.5

Step-by-step explanation:

It is increasing 0.5 as a topping is added

Megan finds a bag of 24 craft bows at the store. The bag indicates that 23 of the bows are striped. Megan wants to know the number of bows in the package that are striped. Select ALL the statements that are true.

Answers

Answer: B. Megan can divide the number 24 by 3 and then multiply the result by 2 to find the number of striped bows.

C. Megan can multiply the number 24 by 2 and then divide the result by 3 to find the number of striped bows.

F The number of striped bows in the package is 16.

Step-by-step explanation:

Here's the options:

A. Megan can divide the number 3 by 24 and then multiply the result by 2 to find the number of striped bows.

B. Megan can divide the number 24 by 3 and then multiply the result by 2 to find the number of striped bows.

C. Megan can multiply the number 24 by 2 and then divide the result by 3 to find the number of striped bows.

D. Megan can multiply the number 24 by 3 and then divide the result by 2 to find the number of striped bows.

E The number of striped bows in the package is 36.

F The number of striped bows in the package is 16.

The number of bows in the package that are striped will be calculated as:

= 2/3 × 24

= 16

Based on the options given, the correct answers will be:

B. Megan can divide the number 24 by 3 and then multiply the result by 2 to find the number of striped bows.

C. Megan can multiply the number 24 by 2 and then divide the result by 3 to find the number of striped bows.

F The number of striped bows in the package is 16.

The correct options are B, C and F.

||
o34
38
o33
оз10
Y’all what this is ?

Answers

Answer:

i think its the 3rd one im sorry if im wrong

Step-by-step explanation:

Answer correctly !!!!!!!!! Will be marking Brianliest !!!!!!! URGENT URGENT !!!!!!!!!!!!!!!

Answers

Answer:

(-13/2,5/2)

Step-by-step explanation:

-5+(-8)/2,(0+5)/2

-5-8/2,5/2

-13/2,5/2

Answer:

B(-2, -5)

Step-by-step explanation:

Points given:

M(-5, 0) - midpoint A( -8, 5) - endpoint B(x, y) - endpoint

Use midpoint formula to find the coordinates of B:

x = (x1 + x2)/2, y = (y1+ y2)/2

Substitute known values and solve for x and y:

-5 = (-8 + x)/2 ⇒ -10 = -8 + x ⇒ x = -10 + 8 ⇒ x = -2 0 = (5 + y)/2 ⇒ 0 = 5 + y ⇒ y = 0 - 5 ⇒ y = -5

Point B is:

(-2, -5)

Write an equation for the nth term of the arithmetic sequence. Then find a10.

−3,−6,−9,−12,...

an=

a10=

Answers

Answer:

-3n

a10= -30

Step-by-step explanation:

the distance between -3 and -6 is 3.

if you multiply 3 by the 1st term, it's just 3, so the 3 needs to be a -3.

For a10, you plug in 10 into the equation which is -3n. and that is -30.

Dion predicted that he would sell 87 art prints. He actually sold 100 art prints. What are the values of a and b in the table below?

Percent Error

Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Art prints
87
100
a
b


a = negative 13; b = negative 13
a = negative 13; b = 13
a = 13; b = negative 13
a = 13; b = 13

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Plz help.
I will mark Brainlyist

Answers

Answer:

the answer is 2hsox864

Step-by-step explanation:

so I'd you with all the way I wasn't really going on the road to be there today because I have to be with my mom said to me that was the first one I've been to know you can do that is weird but you have a lot to say that I have to say that you have to do it this is what I sent you and you can be a witch and you will be able and I dont you are so

Find the x- and y-intercepts of the graph of 4x + 4y = 20. State your answers as
whole numbers or as improper fractions in simplest form.

Answers

Answer: x-intercepts = (5,0)

y-intercepts = (0,5)

Step-by-step explanation:

Plug y=0 into the equation and solve the resulting equation 4x=20 for x

Plug x=0 into the equation and solve the resulting equation 4y=20 for y

Which of the following angle relationships in △ABC are correct? Select all that apply. There is a triangle ABC in which the length of side AB is 3.1, the length of side BC is 3, and the length of side AC is 2.9.
A. m∠A < m∠C B. m∠B = m∠C C. m∠A < m∠B D. m∠B < m∠A < m∠C

Answers

9514 1404 393

Answer:

  A, B, D

Step-by-step explanation:

The sides in order from smallest to largest are ...

  AC, BC, AB

Then the opposite angles in order from smallest to largest are ...

  B, A, C

Let's consider the choices:

A. m∠A < m∠C --- true

B. m∠B = m∠C --- true

C. m∠A < m∠B --- false

D. m∠B < m∠A < m∠C --- true

p ⋅ 4,600 = 6,440 There was a % percent increase in video game sales.

Answers

Answer:

the main reason why theres a rise in game sales is bc there are more ppl getting bored during the pandemic

Rectangular field that measure 2 feet by 18 inches

Answers

Answer:

432 square inches

Step-by-step explanation:

thats the area, perimiter is 84 inches

Answer:

Area: 24*18= 432 inches squared

Perimeter: 18+18+24+24= 84 inches

Step-by-step explanation:

2 feet can also be 24 inches

Find the length of an arc intercepted by a central angle o in a circle of radius r.
r= 30.14 ft, 0 =Pi/25 radians
A. 11.4 ft
B. 1.9 ft
C. 7.6 ft
D. 3.8 ft

Answers

Answer:

D. 3.8 ft

Step-by-step explanation:

circumference = 2π * 30.14

arc length = 2π*30.14 * (π/25) / 2π = 60.28π/50 = 3.7875 ≈ 3.8

Penelope buys bracelets in bulk at a cost of $8 each to sell at her store. She uses a markup of 125%, which is added to the bracelet cost. What is the retail price of a bracelet?

A.$18
B.$10
C.$12
D.$8

Answers

The correct answer is A. $18

8 x 125% or 8 x 1.25 = 10

Add $10 to $8 and you get $18

HELP ILL GIVE BRAINLIEST

Answers

Answer:

-5/7

Step-by-step explanation:

Do you want one?

Answer: -5/7

Step-by-step explanation:

Cooper is going to invest $2,100 and leave it in an account for 14 years. Assuming the interest is compounded monthly, what interest rate, to the nearest tenth of a percent, would be required in order for Cooper to end up with $5,300?

Answers

Answer:

6.6

Step-by-step explanation:

I just did this :)

The interest rate annually will be 6.6% for the given compound interest will be 6.6%.

What is compound interest?

Compound interest is applicable when there will be a change in principal amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount.

As per the given,

Principle amount P = $2100

Time period T = 14 years

The annual rate of interest is R

Total investment = $5300

Number of times interest applied per time period n = 12

By compound interest formula,

5300 = 2100[1 + R/(100)]^(12 x 14)

(1 + R/1200)¹⁶⁸ = 5.524

1 + R/1200 = 5.51 x 10⁻³

R = 6.6% annually

Hence "The interest rate annually will be 6.6% for the given compound interest will be 6.6%".

For more information about compound interest,

brainly.com/question/26457073

#SPJ2

Add 3p2q

3+ 7 pq2+1 and – 8pq2

-2p2q

3​

Answers

did u say the answer ?

WILL GIVE BRAINLIEST ANSWER!!
What is the markup price for a computer that costs $500 and the percentage of markup on cost is 15%? (Markup is cost
multiplied by percentage then add)

Answers

$575 would be the answer. :)

Answer:

$575

Step-by-step explanation:

15% if 500= 15/100 ×500= 75

75+500=575

24. Jeremiah is building a fence around his swimming pool 25 yards long
using standard fencing that is 48 inches high. What additional information
is necessary to determine the number of fence posts he will need?
A) The length of each post
B) The distance between posts
C) How deep the posts will be set
OD) The number of feet in a roll of fencing

Answers

It should be b but I don’t really know
It’s B but you would also need to know the width of the pool

the sum of the digits of the two-digit number is 5. when the digits are reversed, the number increases by 27. Find the original number.​

Answers

The original number is 14
The answer is 14.

“The sum of the two digit number is 5”

1 + 4 = 5


“When the numbers are reversed the number increases by 27.”

14 reversed is 41.

41 - 14 = 27

So, the number is 14.
Other Questions
State whether the following statements are true or false. Write the correct statements, if they arewrong(i) Each angle of a square is a right angle.(1) All the sides of a parallelogram are of equal length.(iii) The diagonals of a rectangle are perpendicular to one another.CAN ANYONE SAY THE ANSWER PLSSSSSSSSSSSSSSSSSSS The octet rule states that atoms tend to gain, lose, or share electrons in order to acquire a fullset of valence electrons. Which type of model could be used to demonstrate this process? Which type of payment has increased the most since 2000? How many billions of credit card transactions occurred in 2018?Predict how many billions of non-prepaid card transactions will occur in 2020. In 2004, the number of credit card and debit card transactions were quite similar. By 2018, they had very different usage. What do you think caused the variance in growth? Check transactions have decreased every year since 2000. Hypothesize what the graph for check transactions will look like by the year 2030. 8 inches is which fraction of 1 yard? What is the chemical name of SiF4? sulfur fluoride silicon fluoride sulfur tetrafluoride silicon tetrafluoride Please help to write a paragraph about your personal experience.Think about a time when you tried a new activity for the first time. Describe the activity. where were you? What did you do? Please help do that and check your correct grammar, capital letters, punctuation, and spelling please help me. Sum of 2 numbers is 36. The larger is 3 more than twice thesmaller number, Find the smaller number below. What is the area of the square given the side length 20.5in This is the second one max has 3 5/6 pounds of potting soil. She uses 2 3/8 pounds to fill a pot. how many pounds of potting soil does max have left? ............... The benefits, there are also certain risks. A) Alongside B) Through C) Near D) Toward E) By Please really need help on this please If 70% of college students say they have a job what is the probability that 3 randomly selected college students say they have a job? HELPPP PLEASEEE!!!!! How does a republic contrast with a democracy Why is Conrad Grebel called the Father of Anabaptists? if anyone could pls help!! WHO CAN HELP 20 pys answer the question10 points Why is it important to learn different textstructures?It helps us keep our writing varied and interesting andmakes reading more interestingIt helps us recognize if something is a fiction text ornon-fiction text.While reading, it helps us understand a text better.While writing, it helps us present our ideas moreclearly