Answer:
44.5 km on a bearing of 134.1°
Step-by-step explanation:
A suitable vector calculator will tell you the location of the ship from port is ...
21∠32° +45∠287° = 44.5∠-45.9°
The bearing of the port is in the reverse direction, so 180° added to this:
180° +(-45.9°) = 134.1°
The distance from port is 44.5 km. The bearing of the port is 134.1°.
_____
Additional comment
The distance from port is perhaps most easily found using the Law of Cosines. It is the third side of a triangle with sides 21 and 45. The included angle is (287° -(180° +32°)) = 75°. The distance is then ...
c = √(a² +b² -2ab·cos(C)) = √(21² +45² -2·21·45·cos(75°)) ≈ √1976.83
≈ 44.5 km
The angle between the 32° bearing and the bearing from the port to the ship can be found using the Law of Sines.
B = arcsin(b/c·sin(C)) = arcsin(45/44.5sin(75°)) ≈ 77.9°
so, the bearing angle from the ship to the port is ...
180° +(32° -77.9°) = 134.1°
__
Bearings are measured clockwise from north. A diagram can be helpful.
Which expression is equivalent to -2( x-7 )?
Answer: -2x+14
Step-by-step explanation: use the distributive property. -2 times x and -2 times -7. -2x+14
Answer: -2x+14
and have a bless day
The ages of two people add up to 25 and their ratio is 2: 3. What is the age of the younger person?
Answer:
10
Step-by-step explanation:
2 + 3 = 5
25/5 = 5
2 · 5 = 10
3 · 5 = 15
This table shows the battery percentage of a phone after it
has been used for x hours.
When graphed, all of these points lie on the same line.
What is the y-intercept and slope of this line?
Drag an answer into each box.
Answer:
yint -= (0,100) slope = -5 2/3
Step-by-step explanation:
yint is (0,100) because thats where it hits the y axis
slope equation is (y1-y2)/(x1-x2), just pick out any two points to do this with
(83-66)/(3-6)
17/-3
-5 2/3
Answer:
slope -17/3 y -intercept 100
Step-by-step explanation:
Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes it would take her to eat
35 hot dogs if she can keep up the same pace.
Answer: Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes it would take her to eat
35 hot dogs if she can keep up the same pace.
Step-by-step explanation: Hope I am right.
9 4/5÷3 1/2 as a fraction
Answer:
14/5
Step-by-step explanation:
Answer:
2 4/5
Step-by-step explanation:
9 4/5÷3 1/2
Change mixed fractions into improper fractions.
9 4/5=49/5
3 1/2=7/2
Keep Change Flip
49/5 x 2/7 =14/5
=2 4/5
Hope this helps :)
I am exhausted could someone pls help me 3(-2+-8+9)divided by 4
Answer: you can use a calculator, -0.75
Step-by-step explanation:
-2+-8+9
The + and - make a - so you can simplify to
-2-8+9
-1x3
-3/4
a rectangle is 40cm long and 30cm wide, use a scale of 1cm to represent 10cm to draw a scale diagram of the rectangle on the grid.
Hello mariamhifzur!
Given,
A rectangle is 40 cm long & 30 cm wide. So,
Length = 40 cmWidth = 30 cmNow, using a scale of 1 cm to represent 10 cm we need to draw a scale diagram of the rectangle on the grid.
At first we need to convert the measurements of the rectangle in real life to its scale measurements. In the question given, we need to convert 10 cm to 1 cm in the scale. So,
Length = 40 cm = 4 cm (in the scale figure)Width = 30 cm = 3 cm (in the scale figure)Now, suppose each grid is equal to 1 cm. Then, we can take the measurements as :
Length = 4 cm = 4 boxes/gridsWidth = 3 cm = 3 boxes/gridsLet's draw the figure now. Our rectangle looks like ... (see the attachment).
_____________
[tex]\mathfrak{Lucazz}[/tex]
PLSSSSS HELP MEEEEEE DUE TODAY!!!!!
Answer:
4/5 or .8
Step-by-step explanation:
giving brainliest to someone earning it
Answer:
um... okie
Step-by-step explanation:
Accessing logarithmic Matrix..Terminal sequence pairs = 1 0 - 83 - 32 5 - 128
Answer:
7
Step-by-step explanation:
can somebody help like rn
Answer:
4
Step-by-step explanation:
(25-18+5)/4=4
(insert the variables)
If the sum of two consecutive
even integers is - 18, find the
integers.
-10 and -8????
I believe because -10 + -8 = -18 and they are both consecutive
please help easy points
Answer:
<=3 let me know if its correct or not if it's not I'm so srry in advance if it's right your welcome
please I need help solving the equation, -2/5c < 9
Answer:
c > -22 1/2
Step-by-step explanation:
Step 1: Multiply both sides by -5/2 and flip the sign.
[tex]-\frac{2}{5}c * -\frac{5}{2} < 9 * -\frac{5}{2}[/tex] [tex]c > -\frac{45}{2}[/tex] [tex]c > -22\frac{1}{2}[/tex]Therefore, the answer is c > -22 1/2.
If f (x) = -2x^2 + 3 then f (-3) =
1. -15
2. 21
3. 39
4. -18
Answer:
-15
Step-by-step explanation:
put f(-3)=-2*(-3)^2+3
During second period, Bonnie completed a grammar worksheet. She got 18 out of 20 questions correct. What percentage did Bonnie get correct?
Answer:
90% correct
Step-by-step explanation:
You want to make calculating easy and to do this, you multiply write out 18 out of 20 like a fraction, 18/20, and multiply both the numerator and the denominator by 5 because 20*5 = 100. 18*5 = 90. 90/100 is the same thing as 90%. Hope this helps!
use lagrange multipliers to find the maximum and minimum
What is the x-intercept of the line with this equation
8x-1/3y=16
9514 1404 393
Answer:
x = 2
Step-by-step explanation:
You find the x-intercept by setting y=0 and solving for x.
8x -1/3(0) = 16
8x = 16
x = 16/8 = 2
The x-intercept is 2.
_____
Additional comment
As you can see, the x-intercept is the ratio of the constant to the x-coefficient. The same is true for the y-intercept. It is 16/(-1/3) = -48.
The grocery store carries diapers for children. Each diaper container has 48 diapers. Two dozen babies each need a container of diapers. How many diapers are needed?
Answer:
1152 diapers are needed
Step-by-step explanation:
2 dozen babies is equall to 24 babies
-(1 dozen is 12 babies)
If 24 babies need a package of diapers which includes 48 diapers, we need to multiply 24x48 which equals 1152 diapers
Answer:1152
Step-by-step explanation:1 DOZEN MEANS 12 SO 2 DOZEN IS 12*2WHICH IS 24
NUMBER OF DIPER A BABY WOULD NEED IS 48
NUMBER OF BABIES IS 12*2 =24
THEREFORE IF 24 BABIES EACH WOULD REQUIRE A CONTAINER WITH 48 DIPERS TOTAL NUMBER OF DIPERS NEEDED IS 24*48 WHICH IS 1152
PLEASE SOMEONE EXPLAIN THIS I HAVE NO CLUE WHAT THIS MEANS OR WHAT THE ANSWER IS
What is the domain of this function?
(-3, -7)
(-8, 8)
(10, 1)
(9, 4)
(7,-4)
(-6, -9)
Answer:
-8,-6,-3,7,9,10
Mary can swim 3 laps in 6
minutes. Use an equivalent ratio
to determine how many laps
Mary can swim in 18 minutes.
How many laps?
Answer:
9 laps
Step-by-step explanation:
Set up a proportion
3 laps / 6 minutes = x [which represents laps]/18 minutes Cross multiply
6*x = 3 * 18 Combine
6x = 54 Divide by 6
6x/6 = 54/6
x = 9
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Answer:
d
Step-by-step explanation:
Answer:
D. Step-by-step explanation:How many cubic blocks of side length
inch would it take to fill a
rectangular prism with a length,
width, and height of inch,
inch, and inch, respectively?
Answer: inch cubic blocks
Step-by-step explanation:
Find the slope of each line.
Answer:
Step-by-step explanation:
There are 4 conditions that have to be met before you can declare what the slope is.
1. y has to be on one side of the equation.
2. y must have a coefficient of +1
3. the other side contains the x value. It can have any number as the slope which is in front of x.
4. The value of the number by itself which is not connected to x or y can also be any value including the irrational numbers.
Examples
y = 5x + 4
slope = 5
y intercept = 4
y = πx + sqrt(5)
slope = pi
y intercept = sqrt(5)
Answer to your question
slope = 7/5
y intercept = 5
3/11 divided by 3/11 in simplest form
Answer:
1
3/2 or 1 1/2
Step-by-step explanation:
3/11 ÷ 3/11
Copy dot flip
3/11 * 11/3
3/3 * 11/11
1*1
1
9/10 ÷3/5
Copy dot flip
9/10 * 5/3
9/3 * 5/10
3 * 1/2
3/2
help me
[tex] \: [/tex]
if mCE =100° ,mCA =110° and CR is a diameter find
mAR
mER
ANSWER 6-10 PLSS
see the attachment plss
need properly answer
right answer get brainlist
nonsense answer will be reported
[tex] \: [/tex]
Step-by-step explanation:
#6mAR = mCR - mCA = 180° - 110° = 70°#7mER = mCR - mCE = 180° - 100° = 80°#8m∠CAR = 90° as CR is diameter#9m∠CRA = 1/2(mCA) = 1/2(110°) = 55°#10m∠ROE = m∠COR - m∠COE = 180° - 100° = 80°Please, help me with this question
Answer:
x=0
Step-by-step explanation:
2.5^2x = 1
2.5^2x=2.5⁰
2 x = 0
x=0
What is 1/6 to the power of 3
Answer:
[tex]\frac{1}{216}[/tex]
Step-by-step explanation:
Exponents on fractions work like this:
[tex](\frac{x}{y} )^a=\frac{x^a}{y^a}[/tex]
Apply that to your problem:
[tex](\frac{1}{6} )^3\\\\\frac{1^3}{6^3} \\\\\frac{1}{216}[/tex]
Answer:
1/216
Step-by-step explanation:
1/6 x 1/6 is 1/36
1/36 x 1/6 is 1/216
1 angle and 5 angle are what kind of angles
Answer:
They r corresponding angles.
6 boys on the baseball team split 9 cupcakes after the game what fraction of the cupcakes did each boy get?
Answer:
2/3
Step-by-step explanation: