Two men p and q set off from a base camp r prospecting for o,p moves 40km on a bearing 205 degree and q moves 30km on a bearing of 060 degree
a. Find the distance of q from p
b. The bearing of q from p
Answers
Answer:
(a) By cosine rule, /PQ/2=202+152−2×20×15×cos145°
= 400+225−600cos145°
= 625+600×0.8192
= 491.52+625
/PQ/2=1116.52⟹/PQ/=1116.52−−−−−−√=33.41
≊33km ( to the nearest whole number)
(b) By sine rule,
sin<QPR15=sin14533.41
sin<QPR=15sin14533.41
sin<QPR=15×0.573633.41=0.2575
<QPR=14.92°
∴ Bearing of Q from P = 25° + 14.92° = 39.92°.
≊40° (to nearest whole number)
Step-by-step explanation:
hope it helps
...
Related Questions
geometry: follow directions below for each figure. Show steps. Circle answers. find the area of each figure.
HELP ASAP!!!!
THANK YOUUUUU
Answers
Answer:
575sq. ft
Step-by-step explanation:
The diagram given can be divided into two rectangles.
Area of a rectangle = length * width
Area of the larger rectangle = 15 * (45 - 10)
Area of the larger rectangle = 15 * 35
Area of the larger rectangle = 525sq. ft
Area of the smaller rectangle = 5 * 10
Area of the smaller rectangle = 50 sq. ft
Area of the room = 525 + 50
Area of the room = 575sq. ft
Order each set of numbers from least to greatest
1.[tex]\sqrt{200}[/tex], 14, [tex]\frac{41}{3}[/tex]
Answers
Answer:
41/3, 14, square root of 200
Step-by-step explanation:
41/3 = 13.66
14 is just 14
and square root of 200 is 14.14
hannah has $345 in her savings account she wants to icrease that number by 20%
Answers
Answer:
345 × 20%
= $69 (20% increase)
345 +69
= $414 (final amount with 20% increase)
The teacher and her students are playing a game. The students take turn to say from 1 to 100 (1 student says 1 number in each turn). However, in the turn that students need to say the number which has the digit 7, they need to say "Buzz" instead. For example, if Hoa has number 17 in her turn, Hoa will say "Buzz" instead of "seventeen". How many times will the students say "Buzz" in total?
Answers
Answer:
19
Step-by-step explanation:
If the number has atleast 1 digit that is 7, they say "Buzz."
7
17
27
37
47
57
67
70
71
72
73
74
75
76
77
78
79
87
97
I counted 19.
I hope this helps!
pls ❤ and give brainliest pls
To paint a wooden cube, Pinocchio used 4 gram of paint. When it is dry, he cut the cube into 8 equal cubes of smaller size. How much paint additional paint does Pinocchio need to paint the unpainted surfaces of smaller cubes?
Answers
Answer:
game1321.netlify.app
Step-by-step explanation:
This is a test sorry I'm trying to see if you can post links in comments
Store employees are handing out coupons. Every 5th customer gets a free bagel coupon. Every 9th customer gets a free drink coupon.
Which customer is the first to receive both coupons?
Answers
Answer:
the 45th customer.
Step-by-step explanation:
9•1= 9 9•2=18 9•3=27 9•4=36 9•5=45
5 doesn't go into any other number except for 45.
The first customer to receive both a free bagel coupon and a free drink coupon is the 45th customer.
To find the first customer who receives both coupons (a free bagel coupon and a free drink coupon), we need to determine the least common multiple (LCM) of 5 and 9, which represents the point at which both coupon distributions coincide.
The LCM of 5 and 9 is 45.
This means that the first customer to receive both coupons will be the 45th customer. On the 45th customer, both the 5th customer and the 9th customer coincide, so this customer will receive both a free bagel coupon and a free drink coupon.
To know more about coupon, refer here:
https://brainly.com/question/1813434
#SPJ3
Kandace spent 3/4 an hour putting on her makeup. how many seconds did she spend in front of the mirro?
Answers
Answer:
Kandace spent 2700 seconds in front of the mirror
Step-by-step explanation:
3/4 × 60 = 45
She spent 45 minutes on her makeup
If 60 seconds are in a minute,to find how many seconds are in 45 minutes we simply multiply 45 by 60
= 2700
A package of 3 pairs of insulated gloves costs $26.07. What is the unit price of the pairs of
gloves?
Answers
Answer:
8.69 per pair
Step-by-step explanation:
Take the total cost and divide by the number of pairs
26.07 /3
8.69 per pair
11. Find out price elasticity of demand from the following table:
Price per unit()=8,10
Quantity Demanded (Units)=200,150
Answers
Answer:
Price elasticity of demand = 1
Step-by-step explanation:
Old quantity demanded = 200
New quantity demanded = 150
Old price = 8
New price = 10
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
percentage change in quantity demanded = change in quantity demand / old demand × 100
= 50/200 × 100
= 0.25 × 100
= 25%
percentage change in price = change in price / old price × 100
= 2/8 × 100
= 0.25 × 100
= 25%
Price elasticity of demand = percentage change in quantity demanded / percentage change in price
= 25% / 25%
= 1
Price elasticity of demand = 1
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah, a total of 8 people took the trip. She was able to purchase coach tickets for $300 and first-class tickets for $1060. She used her total budget for airfare for the trip, which was $6960. How many first-class tickets did she buy?
How many coach tickets did she buy?
number of first-class tickets bought nothing number of coach tickets bought nothing
Answers
Answer:
She bought 6 first class tickets and 1 coach ticket
Step-by-step explanation:
1060(6)= 6360 and 6960-6360=300 and 300 is the price for a coach ticket.
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the median of the data set that consists of 10, 10, 8, 4, 5, 7, 7, 4, 3, 10.
A. 10
B. 7.5
C. 7
D. 6.8
Answers
Answer:
7
Step-by-step explanation:
the median is the middle value of the list. first off, write the list of numbers in ascending order (small to big)
3, 4, 4, 5, 7, 7, 8, 10, 10, 10
since there are 10 values, there are two middle numbers which are 7 and 7. since they are both 7, the median is 7
Find an explicit rule for the nth term of the arithmetic sequence.
-9, -4, 1, 6, ...
Answers
Answer:
hope it's helpful
Step-by-step explanation:
glad to help
according to the rational root theorem which of the following are possible roots of the polynomial function below? F(x)=6x^3-7x^2+2x+8
Answers
Answer:
Hello,
Step-by-step explanation:
all potential roots are of the form a/b where a is a divisor of 8
and b is a divisor of 6 ( in Z)
So A,D,E,F may be roots
but B and C not.
A rectangular field 50m wide and xm long, requires 260m of fencing. find x.
Answers
Answer:
80
Step-by-step explanation:
use formula for perimeter of rectangle but put X in place of length 50 m as breadth. so,
2(50+X)= 260
solve this and you will get X= 80
Answer:
80
Step-by-step explanation:
Perimeter area = 2(l × w)
Plug in:
2(x + 50) = 260
2x + 100 = 260
-100 -100
---------------------
2x = 160
---- -----
2 2
x = 80
So, x will be 80
Three identical squares are placed side by side to form a rectangle with a perimeter of 104 inches. What is the area, in square inches, of each square?
Answers
Answer:
13 inches
Step-by-step explanation:
I have done a Little draw because I don't know how i can explain you this exuse me
The step function g(x) is defined as shown.
-3, X < 0
g(x) = 2 0 < x < 4
5, 4 < x < 10
What is the range of g(x)?
0 -3 = g(x) 5
Os g(x) = 10
O {-3, 2, 5)
{0, 4, 10}
Answers
The 3rd option is correct.
The range refers to the y-values so the multiple choice answer is restricted to the 1st and 3rd options. The range of the step function is not continuous, it is only the discrete values {-3, 2, 5}.
PLEASE HURRY I HAVE 3 mins left Which relationship could be the one shown on the graph?
10fx
9
8+
7
6
5
4.
3
2+
1
1 2 3 4 5 6 7 8 9 X
Answers
Option A
Must click thanks and mark brainliest
Sorry if i am wrong
Which shapes have the greatest area?
(Select all that apply.)
Answers
Answer:
the trapiezium
Step-by-step explanation:
It has a area of 4 which is the highest
Comparing Ratios
Which ratios are less than 8 to 10? Check all that apply.
16
20
3:5
50
100
13.15
Answers
Answer:
3/5 and 50/100
Step-by-step explanation:
changing the ratios into fractions are an easy way to check,
8/10 = 0.8
16/20 = 0.8
3/5 = 0.6
50/100 = 0.5
13/15 = ~0.8666
I need help, can someone help me. please
Answers
Answer:
y = - 1/3x
Step-by-step explanation:
So the equation of a line can be written in the form y= mx+ c
Here y is the value of y in the y axis, x is the value of x in the x axis, m is the gradient ad c is the co-efficient.
We need to find the gradient of the line which is - 1/3.
That makes our equation y = - 1/3x
HOPE THIS HELPED
PLEASE HELP ill give you 45 points and mark brainliest if it’s correct
Answers
Answer:
The answers are below,...
Step-by-step explanation:
1. LN = 37
2. NM = 23
3. x = 4
4. EF = 58 / x = 16
5.
6.
7.
8.
Moreover explanation:
Okay so with 5-8 I was unable to figure out the answer,... I guess I shouldn't be answering your questions if I have to figure them out as well. lol,... I did however try (I've been working on just 5-6 for the last hour or so) so I guess brownie points for me for that,... so sorry I couldn't help completely though,... I asked my older brother how to solve them and he is going to get back to me on them (he also has a schedule to keep) I'll hopefully get back to you soon so stay tuned (or not cause hopefully someone else has already answered them) again, so sorry. and the best of luck to you! later!
If f(x) = x/2 -2 and g(x) = 2x+ +x= 3, find (f + g)(x).
Answers
Answer:
.
.
.❥︎ᴀᴀɴᴋʜ ᴜᴛʜɪ ᴍᴏʜᴀʙʙᴀᴛ ɴᴇ ᴀɴɢᴅᴀɪ ʟɪ ,
.ᴅɪʟ ᴋᴀ sᴀᴜᴅᴀ ʜᴜᴀ ᴄʜᴀɴᴅɴɪ ʀᴀᴀᴛ ᴍᴇ ❣︎
.
.
Find the mean of the data in the bar chart below. coins collected by each person in a scavenger hunt.
Answers
Answer:
There's no chart below
Step-by-step explanation:
Answer:
6.2 coins he will have
Step-by-step explanation:
its the anwser on han i go it wrong :( the first time and 12 was the anwser!
what is an equation of the line that passes through the points (-6,-5) and (-4 -6)
Answers
Answer:
y=-2x-15
Step-by-step explanation:
first find the slope. the formula for finding slope is (y_1 - y_2)/(x_1 - x_2) (rise over run) so we plug in the values and get (-6+4)/(-5+6)= -2/1=-2 so m=-2 and we have y=-2x+b. then plug in either point for x and y and solve for b. -5= -2*-5 +b, -5= 10+b, b=-15, y=-2x-15
Answer:
y=-0.5x-8
Step-by-step explanation:
i got it right
Mrs. Helton is making gift bags as prizes for her math classes. She has 30 little bags of Hershey Kisses and 15 Blow Pops. What is the greatest number of gift bags she can make if all gift bags are the same, and she does not want any left over?
Answers
Answer:
15
Step-by-step explanation:
For this we must find the GCF, or greatest common factor, because we cannot have multiples.
Factors of 30:
1 , 2, 3, 5, 6, 10, 15, 30
Factors of 15:
1, 3, 5, 15
GCF = 15
Each bag will have 2 Hershey bags, and 1 Blow Pop
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
graph the solution of this inequality: 4/9 x- 10 > x/3-12
Answers
Answer:
7
Step-by-step explanation:
HELPPPPPPPP MEEEEE PLEASEEEE
Answers
Step-by-step explanation:
a rectangle has two pairs of equally long sides and each of the 4 angles between the sides is 90 degrees.
given that ABCDEF is a regular hexagon, it means that all its sides are equally long, and therefore also all internal angles are the same size.
that means for ACDF that the sides DC and FA are equally long.
DEF and ABC are congruent triangles, as the sides DE = BC, EF = AB, and the angle E is congruent to angle B.
based on the SAS criteria this confirms that DF is congruent to AC.
the angles ACB, CAB, EDF and EFD have to be all the same, and therefore also the angles FDC, DCA, CAF and DFA.
so, all 4 angles of the parallelogram ACDF are the same, and the sum of all these angles has to be 360 degrees, we have
360 = 4×angle
angle = 90 degree.
so, all angles are 90 degrees and we have two pairs of equally long sides : this process that ACDF us a rectangle
Which of the following planets has the strongest winds in the solar system?
O Jupiter
O Mars
O Neptune
O Venus
Answers
Answer: The answer is Neptune ^-^
Step-by-step explanation:
Got it correct on the test :]
The difference of two numbers is 12. If the greater number is three times the smaller one, find the numbers.
Answers
Answer:
Let the two numbers be X
The great number is X and the smaller number is 3X
X=3X
X-3X=12
-2X=12
X=12/-2
X=-6
The other number =3*6=18
2 numbers to find are a and b
We have: a - b = 12; a = 3b
=> a = 18; b = 6
Someone help pleasee
Answers
Answers:
a = 3
b = 3
c = -6
=====================================
Explanation:
The roots are x = 1 and x = -2. This leads to the factors x-1 and x+2 respectively.
This is because something like x = 1 becomes x-1 = 0 after subtracting 1 from both sides. For x = -2, we add 2 to both sides getting x+2 = 0.
The factorization is y = a(x-1)(x+2)
Plug in (x,y) = (2,12) and solve for 'a'
y = a(x-1)(x+2)
12 = a(2-1)(2+2)
12 = a(1)(4)
12 = 4a
12/4 = a
3 = a
a = 3
So we have y = a(x-1)(x+2) update to y = 3(x-1)(x+2)
--------------------------------------
The last thing we need to do is expand everything out (use the FOIL rule then distributive rule) to get the equation into standard form
y = 3(x-1)(x+2)
y = 3(x^2+2x-1x-2)
y = 3(x^2+x-2)
y = 3x^2+3x-6
Comparing this to y = ax^2+bx+c shows that:
a = 3
b = 3
c = -6
The graph is below.
