N
The accurate scale drawing shows
the positions of port P and a lighthouse L.
►
c)
N
Lindsey sails her boat from port P
on a bearing of 050°
She sails for 12 hours at an average
speed of 5 km/h to a port Q.
Ito-
L
p*
Scale: 1 cm represents 3 km.
a) Indicate the position of port Q on the drawing (use the x tool).
(2)
b) Find the distance, in km, of port Q from lighthouse L.
(1)
c) Find the bearing of port Q from lighthouse L.
)
(2)
Total marks: 5
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Answers
The Indication of the position of port Q on the drawing is shown by using the example of the image attached.
What is the distance about?To Indicate the position of port Q on the drawing (use the x tool).
12 * 5 = 60km
Note that S= VT
Because 1cm represent 3km
1/3 =x/60
3x = 60
x= 60/3
x= 20
So therefore, 60km needs 20cm.
Learn more about distance from
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Related Questions
If the number under the square root radical has no perfect souare
factors, then it cannot be simplified further.
TRUE
FALSE
Answers
Answer:
true
Step-by-step explanation:
Examples :
180 = 5 × 2² × 3²
Then
The number 180 has perfect square factors which are 2 and 3
Then
The number √180 can be simplified because:
[tex]\sqrt{180} =\sqrt{5\times 2^{2}\times 3^{2}}[/tex]
[tex]=\sqrt{5\times \left( 2\times 3\right)^{2} }[/tex]
[tex]=\sqrt{5\times \left( 6\right)^{2} }[/tex]
[tex]=\sqrt{5} \times \sqrt{6^{2}}[/tex]
[tex]=6\sqrt{5}[/tex]
On the other hand :
10 = 5 × 2
Then
The number 10 has no perfect square factors
Then
The number √10 cannot be simplified because:
[tex]\sqrt{10} =\sqrt{5\times 2} =\sqrt{5} \times \sqrt{2}[/tex]
[tex]\text{and} \ \sqrt{5} \times \sqrt{2} \ \text{is not a simplified expression of} \ \sqrt{10} \ \\\text{,in fact it is more complicated than} \ \sqrt{10}[/tex]
A cylinder has a radius of 11 cm. The height
is 9 cm. What is the volume of the cylinder?
Answers
Answer:
621.72
Step-by-step explanation:
The explanation is that the formula is V=2HπR
Multiply all of that and you get your answer of 621.72
100% O De a
Becca surveyed the students at her school to find out which cellphone company they use. Her results are listed in the table.
Freshman Sophomore Junior Senior Total
Company A 27 34 24 18 103
Company B 10 15 43 42 110
Company 40 36 34 30 140
77 85 101 90 353
Total
What is the probability that a randomly chosen student is a junior who uses company B?
ОА.
43
353
OD
43
101
OB.
101
353
O E
-43
110
Ос.
110
353
Answers
Answer:
[tex] \frac{43}{110} [/tex]
Step-by-step explanation:
43 is the total amount of junior students
while 110 is the total amount of students who use Company B
and... in probability it's never more than one that's why it isn't
[tex] \frac{110}{43} [/tex]
Hope it helps
Jasmine had $120,000 last year.
This year she has $50,000.
What is the percentage
difference?
[?]%
(Round your answer to the nearest percent.)
Enter
Answers
Answer:
[tex] \approx58\%[/tex]
Step-by-step explanation:
Initial amount = $120,000Final amount = $50,000Difference in amount = 120,000 - 50,000 = $70,000Difference percentage [tex]=\frac{70,000\times 100}{120,000}[/tex]Difference percentage =58.33%Difference percentage[tex] \approx58\%[/tex]A certain buffalo population increases by a factor of 1.2 each year. Of the following which best approximates the factor by which the population will increase over a ten year period?
Answers
The best approximation of the factor by which the population increases over a ten years period will be 6.19.
What is an exponent?The exponent denotes that the base will rise to a specific level of strength. The base is X, and the power is n.
A certain buffalo population increases by a factor of 1.2 each year.
Then the best approximation of the factor by which the population increases over a ten years period will be
→ 1.2¹⁰
→ 6.1917
→ 6.19
More about the exponent link is given below.
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find x.
An image of two parallel lines cut by a transversal. 8x-1 on top line and 3x-9 on bottom line . how do i get x
Answers
To solve this problem, we have to understand that the parallel lines cut will form two alternate angles which are equal to each other. The value of x is equal to -8/5
Alternate AnglesIn the given question, we have two alternate angles fixed at opposite end to each other.
Data;
8x - 13x - 9Since we've established that alternate angles are equal to each other, we can proceed to equate the two angles and solve for x
[tex]8x -1 = 3x - 9\\8x - 3x = - 9 + 1\\5x = - 8\\x =-\frac{-8}{5}[/tex]
The value of x is equal to -8/5
Learn more on alternate angles here;
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what is the answer??
Answers
Answer:
76 unit^2
Step-by-step explanation:
Total area: (0.5 * base * height) +( length * breadth ) + (0.5 * base * height)
= (0.5 * 8 * 2) + ( 7*8) +( 0.5 * 8 * 3) = 8 + 56 + 12 = 76
Help pls 85 points??
Answers
NEED HELP ASAP
The system has
One solution
Two solutions
No solution
An infinite number of solutions
Answers
Answer:
The answer is one solution because the graphs are together in one specific point.
Answer:
Two solutions
Step-by-step explanation:
In circle O, AD and BE are diameters. The measure of arc AB is 55° and the
measure of arc CD is 25º.
What is the measure of BC?
80
110
90
100
Answers
Answer:
Arc AB = 55°
Angle AOB = 55° ( Centre angle is equal to respective arc )
Arc CD = 25°
Angle COD = 25° ( Centre angle is equal to respective arc )
Angle AOB + Angle BOC + Angle COD = 180° ( AD is the diameter)
55° + Angle BOC + 25° = 180°
Angle BOC + 80° = 180°
Angle BOC = 100°
Q) Rewrite these newspaper headline in PERCENTAGE?
1.There was a one in two chance that the goldfish would swin to left.
Answers
Answer:
There was a 50% chance that the goldfish would swim to the left
Step-by-step explanation:
Percentage means "amount in one hundred".
[tex]\textsf{one in two}=\sf \dfrac{1}{2}=\sf \dfrac{1\times 50}{2 \times 50}=\dfrac{50}{100}=50\%[/tex]
Newspaper headline:
There was a 50% chance that the goldfish would swim to the left.
determine the amplitude, b value, period, phase shift, and vertical shift for each function. y = 2 sin 3 (x + 3/2π)
Answers
Answer:
Amplitude:2
b value: pi/6 ± 2 pi/3
period: 2 pi /3
phase shift: 3/2 pi to the left
vertical shift: 0
Hope this helps!!!
Please mark me as brainliest!!!
P.S. I only need one more brainliest to get Virturoso
For a scavenger hunt, Jim's mom distributed a bag of 520 jelly beans evenly into 20 plastic containers and hid them around theyard. If, after the hunt, Jim has a total of 182 jelly beans, then how many of the plastic containers did he find?
A. 338
B. 140
C. 9
D. 7
Answers
Explanation:
First divide 520 and 20 to get the answer of 26.
Then, divide 182 and 26 to get 7.
I hope this helped!
A bag contains 8 red marbles, 4 white marbles, and 5 blue marbles. You draw one marble at random. Find Pared and blue) (1 point) 40 o 17 00 o SIAMO 0
Answers
Answer:
5/(8+4+5) = 5/17
Step-by-step explanation:
total has (8 red +4 white+5 blue）= 17
we looking for blue , so is 5.
5/17
Trey earned $23, $26, $25, $24, $23, $24, $6, $24, and $23 in tips working at a deli. Find the mean of the amounts of tips he earned.
Answers
Answer:22
Step-by-step explanation:
23 plus 26 plus 25 plus 24 plus 23 plus 24 plus 6 plus 24 plus 23= 198 so count how many numbers there are we had to add so its 198 divided by 9 gives you the answer 22
really need help with my aleks
Answers
Answer:
(4x -4)° +x° +(6x-3)° = 180°J = 99°K = 64°L = 17°Step-by-step explanation:
The relation that helps you write an equation for x is, "the sum of angles in a triangle is 180°."
__
equation(4x -4)° +x° +(6x -3)° = 180° . . . . . sum of angles in this triangle
solution for x11x -7 = 180 . . . . . . . divide by °, collect terms
11x = 187 . . . . . . . . add 7
x = 17 . . . . . . . . . divide by 11
angle valuesm∠J = (6x -3)° = (6(17) -3)° = 99°
m∠K = (4x -4)° = (4(17) -4)° = 64°
m∠L = x° = 17°
Which equation says that the area of the picture
itself is 700 in ²?
Answers
Answer:
See below
Step-by-step explanation:
(36 - 2x) * (17-2x) = 700 I think, given the info
4x^2 - 106x + 612 = 700 expanded....
Which is the value of the 4 in 5,138.204?
Answers
Answer:
thousandths
Step-by-step explanation:
Determine the volume of a cube with sides of 30mm
Answers
Answer: Hello, your answer would be [tex]2.7x10^-5m^3[/tex]
Step-by-step explanation:
[tex]30mm[/tex]
[tex]a=0.03m[/tex]
[tex]V=a^3=0.03^3=2.7x10^-5m^3[/tex]
(the answer is also in the picture)
Answer:
V≈2.7×10^-5m³
Step-by-step explanation:
a=edge
Unit Conversion:
a=30mm/1000m
a=0.03m
Solution
V= a³= 0.03³
a³=0.03x0.03x0.03 ≈ 2.7×10^-5m³
A function is shown below.
f(x) = 8x - 11
What value of x makes f(x) = 21?
Answers
f(21)
x=21
f(21)=8(21)-11
f(21)=168-11
f(21)=157
The correct value in this function is f(21) = 157
This question is related to substitution of values. To solve it, just: change x by the indicated value and thus calculate normally.
– The given function being f(x) = 8x - 11, replace X by 21:
f(x) = 8x - 11
f(21) = 8 . 21 - 11
– Finally, just calculate the expression now, like this, multiplying and subtracting the numbers:
f(21) = 8 . 21 - 11
f(21) = 168 - 11
f(21) = 157
Therefore, the correct value of this function will be f(21) = 157
Anyone could help out with this
Answers
Answer:
C
Step-by-step explanation:
The answer is the orange one because pie * radius^2 leads to the area of the circl.e
Find the mean, median, mode, and range for the data set.
12, 46, 32, 18, 26, 41, 46
5890 108 134 115 221
7.3.16
Answers
Answer:
515.1
Step-by-step explanation:
easy
The graph of y = cos x is transformed to the graph below. Which statement
about the graph is not correct?
QA. There is no phase shift.
OB. The period is pi.
OC. The amplitude is 2.
O. D. The midline is y = 1.5.
EIN
5
Answers
Answer:
d)The midline is y=1.5
Step-by-step explanation:
Because you can see in the graph that the midline is 1. So only c is no correct.
The amplitude is measured between the midline and the pik(highest or lowest value) of the function. This case is 2. True
The period is the distance between “equivalent” points. pi in this case. True.
The phase shift occur when the function is shifted on the x-axis. There is no phase shift. True.
Are the following ratios equivalent? 5 cookies: 8 glasses of milk and 7 cookies: 9 glasses of milk.
Answers
Answer:
no
Step-by-step explanation:
Two numbers are in the ratio 3 : 5. if each number is increased by 10, the ratio becomes 5 : 7.The numbers are .
Answers
Given 3x and 5x --------------- (i)
(3x+10)/(5x+10) = 5/7
On cross multiplication we get :-21x + 70 = 25x + 50
On solving we get :-4x = 20
x = 5
on substituting x in (i) we get 15 and 25.From the triangle, find the missing length
Answers
When you have your final draft, you are ready to_________your essay using the work processor.
A. Peer edit
B. Publish
C. Revise
D. Prewrite
Answers
Answer:
C) Revise
Step-by-step explanation:
A final draft needs to be revised before it can be published
please help asap giving brainiest and lots of points! this is an easy math/ engineering question if you dont know theres online calculators just pls help!
The initial velocity of a projectile is 57 m/sec, and the firing angle is 22°. Calculate the horizontal distance.
a 230 meters
b 330 meters
c 430 meters
d 130 meters
Answers
Answer:
a 230 metera 230 metersa 230 metersa 230 metersa 230 metersa 230 meters
covert this rational number to its decimal form and round to the nearest thousandth. 7/9
Answers
Answer:
0.778 to the nearest thousandth.
Step-by-step explanation:
Dividing 7 by 9:
9) 7.000000
0.7777777 .... <-- quotient
So it is 0.778 to the nearest thousandth.
What is the measurement of angle C?
Answers
Answer:
84 degrees
Step-by-step explanation:
180-96=84