The magnitude of the total velocity of the boat is 38 knots, and the direction is 32°, so the correct option is d.
How to get the velocity of the boat?
First, we need to write need to find the component of the two given velocities.
For the boat, the magnitude is 28 knots and the angle is 36°, then the components are:
x-component = (28 knots)*cos(36°) = 22.65 knotsy-component = (28 knots)*sin(36°) = 16.46 knotsFor the wind, the components are:
x-component = (10 knots)*cos(22°) = 9.27 knotsy-component = (10 knots)*sin(22°) = 3.75 knotsAdding these, the total components of the boat's velocity are:
x-comp = 22.65 knots+ 9.27 knots = 31.92 knotsy-comp = 16.46 knots + 3.75 knots = 20.21 knotsThen the magnitude of the velocity is:
|V| = √( (31.92 knots)^2 + (20.21 knots)^2) =37.78 knots
That can be rounded to 38 knots
To get the angle, we take the arctangent of the quotient between the y-component and the x-component:
a = Atan(20.21 knots/31.92 knots) = 32.34°
Then the correct option is d) 38 knots and 32°
If you want to learn more about velocity, you can read:
https://brainly.com/question/4931057
Answer:
It is 38 knots; 32 degrees
Step-by-step explanation:
The answer below is right
I took the test
Subtract --5x^2-
9x- 8 from
-6x^2 + 5.
Answer:
-x²+9x+13
Step-by-step explanation:
if your question is (-6x²+5)-(-5x²-9x-8)
-(-a-b)=(a+b)
=-6x²+5+5x²+9x+8
=-6x²+5x²+9x+5+8
=-6x²+5x²+9x+13
Then the answer is -x²+9x+13
What is 53 times 6987 times 34 plus 67964?
Answer:
The answer is 12,658,538
Step-by-step explanation:
53 times 6,987 = 370,311
370,311 times 34 = 12,590,574
12,590,574 plus 67964 = 12,658,538
Answer:
12,658,538
Step-by-step explanation:
I used a calculator
PLSSSS HELP <3
Which value of C represents a system with infinitely many solutions?
{6x+4y=14}
{9x+6y=C}
Answer: Option 2
Step-by-step explanation:
Solve for x. Leave your answer in simplest radical form
Answer:
sqrt213
Step-by-step explanation:
Attached photo might help you out
Answer:
x = √213
Step-by-step explanation:
Step 1 : Solve for hypotenuse in the right triangle.
h² = 7² + 10²h² = 149Step 2 : Solve for x.
x² = h² + 8²x² = 149 + 64x² = 213x = √213please help i hate math
Answer:
B and D I think
Step-by-step explanation:
The cost of pool service includes labor and supplies. labor is 80% of the total cost. the cost of labor for a certain pool service is $220.
what is the total cost of the pool service?
enter your answer in the box
Answer:
I know im late but the answer is 275 I just took the test on k-12
Step-by-step explanation:
!!20 points and Brainliest please help!!!
Which of the following could be factored by grouping?
A) ab + ad - ac + ae
B) ac + ad + bc - bd
C) ab + cd – ab + cd
D) ac + ad + bc + bd
D) ac + ad + bc + bd
Hope it helps :)
Answer:
D) ac + ad + bc + bd
Step-by-step explanation:
Turner works a part-time job at a video game shop. He makes $12.30 per hour. If he works 22.5 hours this week, how much will he earn?
Answer:
Step-by-step explanation:
You multiply 12.30 x 22.5 and that = $276.75
A bag contains 24 ounces of soil. You use 2 7/8 ounces of soil to plant 1 herb.Is there enough soil in the bad to plant 8 herbs?
Answer:
Yes
Step-by-step explanation:
2 7/8x8=23
So you would have enough and one oz left over.
help its for calculus
Answer:
maybe its e(1/y)
Answer:
it should be e(1/y)
Write the equation of the line that is parallel to the line y=3x+7 and passes through the
point (-4,-14).
Answer:
y = 3x - 2
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope slopes.
The first line is y = 3x + 7. Its slope is 3. A line parallel to this one will also have a slope of 3.
Plug this value (3) into your standard point-slope equation of y = mx + b.
y = 3x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (-4, -14). Plug in the x and y values into the x and y of the standard equation.
-14 = 3(-4) + b
To find b, multiply the slope and the input of x (-4)
-14 = -12 + b
Now, add 12 to both sides to isolate b.
-2 = b
Plug this into your standard equation.
y = 3x - 2
This equation is parallel to your given equation (y = 3x + 7) and contains point (-4, -14)
Hope this helps!
Learn with another example:
https://brainly.com/question/27121082
What is the FIRST STEP to solve this equation?
3x+2=17
Question 5 options:
Add 2 to both sides
Subtract 2 from both sides
Multiply both sides by 3
Divide both sides by 3
Answer:
2nd option I believe
Step-by-step explanation:
subtract 2 from both sides
Answer:
The first step is to subtract from both sides
Step-by-step explanation:
if you do this it's method of balancing equations whereby you have. 3x+2-2=17
If y’all r smart, then answer this.
Please help..
Answer
just add everything but the answer is 130
Which Expression represents the perimeter of the figure below?
А 5x+2y
B x + y +z
C 5x + 2y + 2
D (5+2 + 1)(x + y + 2)
Answer:
The C option is correct
TRUST ME
Step-by-step explanation:
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASEFill in the table using this function rule
y=5+4x
please help like u don’t know how many times I’ve posted this :,)
Plug in the values of x and solve for y:-
y=5+4x
y=5+4(4)
y=5+16
y=21
________________________________
y=5+4x
y=5+5(5)
y=5+20
y=25
_________________________________
y=5+4x
y=5+4(8)
y=5+32
y=37
___________________________________
y=5+4x
y=5+4(10)
y=5+40
y=45
__________________________________
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Answer:
see explanation
Step-by-step explanation:
substitute the values of x from the table into the rule and evaluate for y
x = 4 → y = 5 + 4(4) = 5 + 16 = 21
x = 5 → y = 5 + 4(5) = 5 + 20 = 25
x = 8 → y = 5 + 4(8) = 5 + 32 = 37
x = 10 → y = 5 + 4(10) = 5 + 40 = 45
then
x y
--------
4 21
5 27
8 37
10 45
A rectangular piece of poster board measures 60 centimeters by 80 centimeters. Linn draws the net of a box on the poster board and cuts it out. If the box measures 10 centimeters by 16 centimeters by 27 centimeters, what is the area of the poster board left?
The mass is divided by 2 and the volume is multiplied by 4 what happens to the density
Answer:
Density is mass over volume so if the mass is being divided the value is smaller and volume is being multipliedd so value is larger but since volume is the denominator and is getting larger you are going to end up with a smaller number since smaller number gets/ larger number gets = smaller value gets
Step-by-step explanation:
Giving brainiest and 50 points! :)
Answer:
105 cm³
Step-by-step explanation:
Given:
Height of triangular base: 7 cmBase of triangular base: 5 cmHeight of triangular prism: 6 cmFormula:
[tex]\text{Area of triangular prism:} \ (\text{Area of triangle}) \times \text{Height of triangular prism}[/tex]
Substitute the given measures in the formula to determine the volume.
[tex]\implies\text{Area of triangular prism:} \ (\frac{1}{2} \times 5 \times 7) \times 6[/tex]
Simplify the expression as needed.
[tex]\implies\text{Area of triangular prism:} \ (17.5) \times 6[/tex]
[tex]\implies\boxed{\text{Area of triangular prism:} \ 105 \ \text{cm}^{3}}[/tex]
Answer:
105 cm³
Step-by-step explanation:
Given:
Height of triangular base: 7 cm
Base of triangular base: 5 cm
Height of triangular prism: 6 cm
Formula:
Substitute the given measures in the formula to determine the volume.
Simplify the expression as needed.
help me please i rate you highest
Step-by-step explanation:
circumference = 2 pi r
2 × 3.14 × r = 527.52 yd
r = 527.52 × 1/2 × 1/3.14
r = 84 yd
Surface area = 4 pi r²
= 4 × 3.14 × 84²
= 88,623.36 yd²
The measures of angles A and B are supplementary. What is the measure of each angle?
Answer:
any angle that can give the 180 degree is the answer but these angle is found face to face each other
Kendra and Dalisay practice archery. Kendra hits the target 3 times for every 5 misses. Dalisay hits the target 5 times for every 7 misses. Who hits the target more?
Using proportions, it is found that Dalisay hits the target more.
What is a proportion?A proportion is a fraction of a total amount.
Kendra hits the target 3 times for every 5 misses, that is, she hits the target 3 out of 8 times, hence her proportion is:
pK = 3/8 = 0.375.
Dalisay hits 5 out of 12 times, hence:
pD = 5/12 = 0.4167.
Due to the higher proportion, Dalisay hits the target more.
More can be learned about proportions at https://brainly.com/question/24372153
Jen and her friends would like a curved pit to be included in next year’s obstacle course. they found this equation to model their suggested curved pit using a computer simulation. in the equation, y is the depth of the pit in relation to the surface of the course, and x is the horizontal distance from the left edge of the entire obstacle course. both distances are in feet. y = 0.75x^2 − 13.5x + 57.75 select the correct answer from each drop-down menu. a robot traveling along the surface of the curved pit reaches a (maximum, minimum, or contrast) depth of (-3, -9, 4, or -7) feet
Considering the vertex of the quadratic function, it is found that:
A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
[tex]y = ax^2 + bx + c[/tex]
The vertex is given by:
[tex](x_v, y_v)[/tex]
In which:
[tex]x_v = -\frac{b}{2a}[/tex][tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]Considering the coefficient a, we have that:
If a < 0, the vertex is a maximum point.If a > 0, the vertex is a minimum point.In this problem, the function is given by:
y = 0.75x² - 13.5x + 57.75.
Which means that the coefficients are a = 0.75 > 0, b = -13.5, c = 57.75.
Thus, the minimum value is given by:
[tex]y_v = -\frac{(-13.5)^2 - 4(0.5)(57.75)}{4(0.75)} = -22.25[/tex]
Thus:
A robot traveling along the surface of the curved pit reaches a minimum depth of -22.25 feet.
More can be learned about the vertex of a quadratic function at https://brainly.com/question/24737967
The of a sister is two times of her brother ages. Two years ago, the age sum of the ages was 26 years. Find their ages. k
Use the relationship between the angles in the figure to answer the question.
Which equation can be used to find the value of x?
Answer:
x=52°
Step-by-step explanation:
because of the vertical angles theorem
Answer:
x=52°
Step-by-step explanation:
the vertical angles theorem
6 a =24
Help me please
You need a new mat to place under your dogs water bowl. The mat has a diameter of 24 inches and the water bowl has a diameter of 8 inches. What is the approximate space of the mat not covered by the water bowl?
Answer:
200.96
Step-by-step explanation:
So, we have to find the area of both.
The area for the mat is
(pi)12^2=3.14x144. However, since it is HALF a circle, we divide it by two.
So, 226.08
Next, the water bowl.
(3.14)4^2=50.24.
226.08-25.12=200.96
I may be wrong!
the answer choices are
A. 2 1/4 inches
B. 3 inches
C. 4 1/2 inches
D. 5 inches
Check the picture below.
[tex]\stackrel{X}{1\frac{1}{2}}~~ + ~~\stackrel{X}{1\frac{3}{4}}~~ + ~~\stackrel{X}{1\frac{3}{4}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{mixed}{1\frac{1}{2}}\implies \cfrac{1\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{3}{2}} ~\hfill \stackrel{mixed}{1\frac{3}{4}}\implies \cfrac{1\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{7}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{2}~~ + ~~\cfrac{7}{4}~~ + ~~\cfrac{7}{4}\implies \cfrac{(2)3~~ + ~~(1)7~~ + ~~(1)7}{\underset{\textit{using this LCD}}{4}}\implies \cfrac{20}{4}\implies 5[/tex]
A bag contains 6 yellow cubes, 14 red cubes, and 2 blue cubes. Determine whether the following event is impossible, unlikely, as likely as not, likely, or certain.
A red cube is randomly drawn from the bag.
i would be as likely to happen because there are more red cubes then any other cubes.
-1/5 = w - 4/5 whats the value of w
[tex]w = \frac{3}{5} [/tex]
I Need Help! Please!
A local grocery store buys fresh carrots from a nearby farm for $0.65 per pound and sells them for $0.88 per pound. What markup rate does the grocery store use? Round to the nearest whole percent.
The markup rate that the grocery store uses is _____ % (Round to the nearest whole percent.)
Answer:
35%
Step-by-step explanation:
I'm sorry if it isn't right but I tried.
