Answer: option C.
Step-by-step explanation:
If city X is in the point (0,0)
Now, we can use that a displacement of L in distance with an angle A, gives us that the components of the displacement are:
X = L*cos(A)
Y = L*sin(A)
So we know that the city Y is located in:
(40m*cos(40°), 40m*sin(40°))
Now, from this point he moves other 40m with an angle of 140°.
The new position is
(40m*cos(40°) + 40m*cos(140°), 40m*sin(40°) + 40m*sin(140°))
this is:
40m*(cos(40°) + cos(140°), sin(40°) + sin(140°)) = 40m*( 0, 1.28)
the new position is (0, 51.2m)
This means that for a new displacement L and angle A we have:
X = L*cos(A) = 0
Y = L*sin(A) = 51.2m
Cos(A) is only 0 when A = 90° or 270°,
and we know that sin(90°) = 1 and sin(270°) = -1
As we have a positive number in the Y equation, we can conclude that A must be 90°.
Then
Y = L*sin(90°) = L = 51.2m
Here we finded that the bearing of Z from city X is 90°
5x/3y + x
X= 6 and Y= -4
Step-by-step explanation:
Putting values of x and y.
5(6) / 3(-4) + 6
30 / - 12 + 6
10 / - 4 + 6
5 / - 2 + 6
= 3.5
If Quadrilateral JKLM is a square, where points J(0, 5), K(4, 7), L(?, ?) and M(2, 1) are known. Find the coordinates of point L
Group of answer choices
(7, 2)
(6, 3)
(5, 4)
(4, 4)
Answer:
THANKS FOR THE POINTS ^^^^
Step-by-step explanation:
(6,3)
A torch and a battery cost £2.50 altogether.
The torch costs £1.50 more than the battery.
What fraction of the total price is the torch?
Give your answer in its simplest form.
PLEASE CHECK UR ANSWER
Answer:
1 1/2 i think
Step-by-step explanation: to find out the batteries price you subtract 2.50 from 1.50 and get 1 then convert to fractions so 1 1/2 and 1 and when you add them together you get the total price so the torch accounts for 1 1/2 of the total price.
what is the domain and range of this graph?
Answer:
Domain- {-2,2}
Range-{-3,2}
Step-by-step explanation:
Find each boundary of the line and make the corresponding points because its a continuous line.
Please help! This is Quadratic Formula and the discriminant. The answer is -3+3 square root symbol 5 over 2. Every time i try to get that answer I get a different one. Please help asap
Answer:
See explanation
Step-by-step explanation:
[tex]n^2+3n-7=2[/tex]
Subtract 2 from both sides:
[tex]n^2+3n-9=0[/tex]
Using the quadratic formula:
[tex]n=\dfrac{-3\pm\sqrt{9+36}}{2}=\dfrac{-3\pm \sqrt{45}}{2}=\dfrac{-3\pm 3\sqrt{5}}{2}[/tex]
I agree with you on the answer, have you tried both adding and subtracting the root? That is important, because there are two solutions to this problem. Feel free to discuss more and I can try to help!
A hemisphere has a diameter of 48 inches. What is the volume of the
hemisphere? Use 3.14 for and round to the nearest tenth.
Answer:
9,216π or 28,938.2 meters³
Step-by-step explanation:
Given: diameter 48 inches
Radius 24 inches
Note:
Volume of hemisphere = volume of sphere / 2
Volume of hemisphere = 1/2 • 4/3 • πr³
= 1/2• 4/3×π×24³
= 1/2•18432π
= 9,216π
= 28,938.2 meters³
Roger currently makes $11 per hour after taxes. He works 34 hours per week. If Roger works 45 weeks out of the year, how much money will he earn during that time?
Answer:
$16,830 for the year
Step-by-step explanation:
34 hours per week at $11 per hour comes to $374 total per week.
Multiplying this by 45 weeks yields $16,830 for the year.
Apply the distributive property to factor out the gcf 6+30=
Answer:
Step-by-step explanation:
the distributive properrty of 6 + 30
6(1 + 5)
Find the area of the parallelogram
Answer:
17.94
Step-by-step explanation:
Area of a parallelogram is base times height.
Base: 3.9 in
Height: 4.6 in
3.9x4.6=17.94
if there are 60 songs on a mp3 and 21 are rock. what is the ration of rock songs not being played at all
Answer:
rock: not rock
7:13
Step-by-step explanation:
First determine how many songs are not rock
60-21 = 39
There are 39 songs that are not rock
ratio of rock to not rock
rock: not rock
21:39
We can divide by 3
21/3:39/3
7 : 13
What value of x makes the
equation frue?
X - 13 = 25
Answer:
38
Step-by-step explanation:
x-13=25
+13 +13
_________
x=38
Answer:
38
Step-by-step explanation:
38-13=25.
To find this add thirteen to 25
which is the equation of a line that has a slope of -2/3 and passes through point (-3,-1)
Answer:
y = -2/3x - 3
Step-by-step explanation:
y = mx + b
m = slope
(-3,-1) = (x,y)
Plus in the coordinates
-1 = -2/3(-3) + b
negative times negative = positive
-2/3 * -3 = 2
-1 = 2 +b
Use inverse operations
-2 --2
-3 = b
y = -2/3x - 3
Answer:
y = -2/3 x - 3
Step-by-step explanation:
since you have a point and a slope, you can use point - slope form
[tex]y - y_{1} = m (x - x_{1} )[/tex] plug in the point as [tex](x_{1}, y_{1})[/tex] and the slope as my - (-1) = -2/3(x - (-3)) change two negatives into positivey + 1 = -2/3 (x+3) distribute the -2/3y + 1 = -2/3x - 2 subtract 1 from both sidesy = -2/3 x -3Charlie has a box that is In the shape of a rectangular prism its height is twice the length its length is three times the width in the word measures 4 inches what is the volume of the box the volume of the box is
Answer:
1152 in ^ 3
Step-by-step explanation:
We know that the width is:
w = 4 in
They also tell us that the length is three times the width, therefore:
l = 3 * w
l = 3 * 4 = 12
l = 12 in
and as for the height, they tell us that it is twice the length, so:
h = 2 * l
h = 2 * 12 = 24
h = 24 in
now the volume is w * l * h, replacing:
v = 4 * 12 * 24
v = 1152
volume equals 1152 in ^ 3
Kim ate 10 apples and had 30 apples in the began
Answer:20 apples
Step-by-step explanation:
30-10=20
The repairmen are fixing 9 cars 2 motorcycle and 6 trucks what is the ratio of cars to motorcycle?
Answer:
9:2
Step-by-step explanation:
Put in what we know
cars: motorcycles
9 2
please answer my question −4y−4+(−3)
Answer:
-4y - 7
Step-by-step explanation:
−4y−4+(−3)
Combine like terms
-4y - 7
Answer:
5
Step-by-step explanation:
y= 4+ 4 - 3
please answer from the attachment
Look at the attached picture
Hope it will help you..
Good luck for the test...
(◕ᴗ◕✿)(ʘᴗʘ✿)
a boys buys 9 apples for Rs 9.60 and sells them at 11 for rs 12 find his gain or loss percent
Find the surface area.
Any help will be appreciated. Thank you
Answer: 144 units squared
Step-by-step explanation:
Rec- 3 x 11 = 33
Rec- 4 x 11 = 44
Rec- 5 x 11 = 55
Tri- 3 x 4 = 12 12/.5 = 6
Tri- 3 x 4 = 12 12/.5 = 6
33 + 44 + 55 + (6 x 2)
33 + 44 + 55 + 12 = 144
find the area of a regular octagon with a radius of 20
1325.5
im not too sure, but i think that is the answer.
Answer:
Area = 2 x Sqrt (2) x r^2
Area = 2 x sqrt(2) x 20^2
Area = 2 x 1.414 x 400
Area = 1131.37
Step-by-step explanation:
Someone please help me. ASAP
Answer:
z = -7.5
Step-by-step explanation:
3.5z -2.7z = -6
Combine like terms
.8z = -6
Divide each side by .8
.8z/.8 = -6/.8
z = -7.5
Answer:
z= 12 over 47
Step-by-step explanation:
first you have to collect like terms..then that will get you -23.5z=-6 then divide both sides by -23.5z..then you should get your answer
determine the slope an y intercept :
y = 3/2x + 3
Answer:
Slope: -3/2 y intercept: 3
Step-by-step explanation:
Correct Answers only!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
$12000
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 40000 × 15/100 × 2
I = $12000
How far can light travel in 1 year? Remember there are 3.15576 x 10^7 seconds in a single year.
Answer: [tex]9.465\times 10^{15}\ m[/tex]
Step-by-step explanation:
Given
Seconds in a year is [tex]3.155\times 10^7[/tex]
We know
[tex]Distance=speed\times time [/tex]
Speed of light in vacuum is [tex]3\times 10^8\ m/s[/tex]
So distance traveled [tex]=3\times 10^8\times 3.155\times 10^7[/tex]
[tex]distance=9.465\times 10^{15}\ m[/tex]
What is the sum of the geometric series 2+6+18+...+486?
Answer:
728
Step-by-step explanation:
2+6+18+...+486
a=2
r=6/2=3
[tex]a_{n}=ar^{n-1}\\486=2(3)^{n-1}\\3^{n-1}=486/2=243=3^5\\n-1=5\\n=5+1=6\\S_{6}=2\frac{3^6-1}{3-1} \\=2\frac{729-1}{2}\\=728[/tex]
Complete 5-8 for 15 points.
helpppppp pros only helppppppp me plzzzzzzzzzzz ill reporte you if you do bad qweshtones
Answer:
We are looking for 2 numbers that have a product of 72 and a sum of 17. These 2 numbers are 9 and 8. Therefore, the factored version would be (z + 9)(z + 8), or A.
Hope this helps!
f(x) = (x – 1)(x + 4)?
Answer:x^2+3x-4
Step-by-step explanation:
complete this series of number : 9=4, 21=9, 22=9, 24=10, 8=5, 7=5, 99=10, 100=7, 16=?, 17=?
Answer:
16= 7 &
17= 9
Step-by-step explanation:
What is the measure of mop
