Answer:
The directional bearing of the boat is N 30º E
Step-by-step explanation:
Let [tex]\vec v = (25, 25\sqrt{3})[/tex], where [tex]\vec v[/tex] is the vector velocity. Given that such vector is represented in rectangular, a positive value in the first component is the value of the vector in the east direction, whereas a positive value in the second component is in the north direction. The directional bearing of the boat ([tex]\theta[/tex]), measured in sexagesimal degrees, is determined by trigonometrical means:
[tex]\theta = \tan^{-1}\frac{v_{y}}{v_{x}}[/tex] (1)
If we know that [tex]v_{x} = 25[/tex] and [tex]v_{y} = 25\sqrt{3}[/tex], then the directional bearing of the boat is:
[tex]\theta = \tan^{-1} \sqrt{3}[/tex]
[tex]\theta = 60^{\circ}[/tex]
In consequence, we conclude that the direction bearing of the boat is 30 degrees to the East from the North (N 30º E).
Answer:
A) N 30 E
Step-by-step explanation:
The volume of vegetable soup in a serving is proportional
to the mass of the serving. A 290 mL serving of vegetable
soup has a mass of 180 g. What is the mass of a 348 mL
serving of soup?
Answer:150
Step-by-step explanation:
The mass of 348mL serving soup is 216 grams
The serving is proportional; so, we have:
[tex]\mathbf{290mL = 180g}[/tex]
[tex]\mathbf{348mL = x}[/tex]
Where x represents the mass of 348mL serving soup.
Cross multiply.
So, we have:
[tex]\mathbf{x \times 290mL = 180g \times 348mL}[/tex]
Cancel out common units
[tex]\mathbf{x \times 290 = 180g \times 348}[/tex]
[tex]\mathbf{x \times 290 = 62640g}[/tex]
Divide both sides by 290
[tex]\mathbf{x = 216g}[/tex]
Hence, the mass of 348mL serving soup is 216 grams
Read more about proportional equations at:
https://brainly.com/question/894687
At a local school, students who cut classes receive detention. If they cut more classes, they spend more time in detention.
c = the number of classes cut
t = the amount of time spent in detention
Which variable is the independent variable?
Answer:
C is the independent variable, because the amount of time you spend in class, depends on how many classes are cut
Step-by-step explanation:
What is the value of x in the equation 8+4 = 2(x-1)?
A. 5
B. 11/2
C. 13/2
D. 7
Answer:
D. 7
Step-by-step explanation:
brainiest plz
two thousand brown trout are introduced into a small lake. the lake has a volume of 20,000 cubic meters. use a table to find the probability that three brown trout are found in any given cubic meter of the lake.
a. find the average number of brown trout per cubic meter.
b.identify µ and x
c. use table 3 in appendix B to find the poison probability
d. interpret the results
e. determine whether the event is unusual. explain
Graph the ordered pairs for y=4x+2 using x={-2, 1, 2}
(5x3+7x−8)+(2x3−5x2−x+3). Write the answer in standard form.
please provide explanation
Answer:
7 x^ 3 − 5 x ^2 + 6 x − 5
Step-by-step explanation:
In Mrs. Little’s first period classroom, there are 15 boys
and 8 girls on the roster. However, she would like the ratio
of girls to boys to be higher. If Mrs. Schwartz plans to set
Mrs. Little’s classroom such that 2/5
of the total students are
girls, how many more girls must she add to the classroom
roster?
Step-by-step explanation:
2/5 = x/15+x
= 10
she must add 2 girls to have above 40% girls in the class
pls give brainliest
What does the "5" represent in 132/5
Answer:
the denominator
Step-by-step explanation:
So, say if you have 132 circles, and 5 are shaded in. That would be what 5 represents!
Hopefully, this helps! :D
Ask your question below.
3/4(3x+6)−14(5x−24) How do I solve this
Answer:
1362−271x/4
Step-by-step explanation:
STEP 1 :
Equation at the end of step 1
(3/4 * (3x+6))-14*(5x-24)
STEP 2 :
Simplify 3/4
Equation at the end of step 2 :
3
(— • (3x + 6)) - 14 • (5x - 24)
4
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
3x + 6 = 3 • (x + 2)
Equation at the end of step
4
:
9 • (x + 2)
——————————— - 14 • (5x - 24)
4
STEP
5
:
Rewriting the whole as an Equivalent Fraction
5.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 4 as the denominator :
14 • (5x - 24) 14 • (5x - 24) • 4
14 • (5x - 24) = —————————————— = ——————————————————
1 4
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
9 • (x+2) - (14 • (5x-24) • 4) 1362 - 271x
—————————————————————————————— = ———————————
4 4
Final result :
1362 - 271x
———————————
4
-x-4y=-10 in ordered pai
Answer: x=−4y+10
Step-by-step explanation:
Please answer asap take ur time
Maya is going to an amusement park. The price of admission into the park is
$10, and once she is inside the park, she will have to pay $2 for every ride she
rides on. How much money would Maya have to pay in total if she goes on 15
rides? How much would she have to pay if she goes on r rides?
For the line segment whose endpoints are X(1,2) and Y(6, 7) find the x coordinate for the point located 1/3 the distance from X to Y.
Answer:(2.6,3.6)
So 2.7
Step-by-step explanation:
Find the distance between 1 and 6 then divide by 3 and do the the same thing for2 and 7
Laurie had three $2 off coupons for the mini-golf course, but everybody else had to pay $9 per person, the full price. What was the total cost for their group of 8 to play mini-golf?
A: $51
B:$62
C:$63
D:$66
Answer:
D
Step-by-step explanation:
9x8=71
2x3=6
71-6=66
Answer:
D $66
Step-by-step explanation:
So first we need to figure how much money she was able to deduct from the three $2 coupons. Remember the original price is $9
3×2=6 (which means she can get $6 off of the original price $9.)
9-6= 3 (So now she only has to pay $3 while the other seven people in her group pays the original price $9.)
9×7= 63 (So $9 for the 7 other people equals $63. That is how much they are paying. Now let's add Laurie's amount!)
63+3=66 (So altogether everyone including Laurie is paying $66.)
So the final answer is $66
(I hope this helps you! Have a wonderful day everyone!)
:)
UREGENT‼️‼️
4. Find the slope of the line that passes
through the following pairs of points:
Answer:
A.-8 B.1/10
Step-by-step explanation:
a. -75--51=-24
10-7=3
-24/3=-8
b. 12.5-10.5=2
25-5=20
2/20=1/10
Please please help on the first question only! Will mark brainliest :)
Answer:
y=-25x+15
Step-by-step explanation:
I just used the y=mx+b equation and plugged in the numbers we know by the graph.
Find the slope and the y-intercept of the graph of y + 1 = x.
Answer: The slope is 4/3
Step-by-step explanation:
Whatever number is attatched to the "x" is the slope.
Answer:
Slope: M = 4/3
Y-Intercept: : (0,−1)
Step-by-step explanation:
WILL GIVE BRAINLIEST!! How do we calculate relative frequencies?
Answer:
When we look at relative frequency, we are looking at the number of times a specific event occurs compared to the total number of events.
Step-by-step explanation:
Hey now you can give me a brainliest for actually giving an answer haha :)
11.43 round to the nearest number.
Answer:
11
Step-by-step explanation:
Since 4 is not 5 or higher you round down so it is just 11
Answer:
11.4
Step-by-step explanation:
In AFGH, the measure of ZH=90°, the measure of ZF=18°, and GH = 9.4 feet. Find
the length of HF to the nearest tenth of a foot.
Answer:
20.9 feet
Step-by-step explanation:
i really hope this helps and have a good day
Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 4 units up, what are the coordinates of A'?
Answer:
The coordinates of point A' will be: A'(-2, 0)
Step-by-step explanation:
We know that a translation is basically a transformation that occurs when an object is moved from one place to another place.
Translation does not change the size, orientation, or shape of the original object.
Translating a point P(x, y) 4 units up means we need to add to use P'(x, y+4), that is adding 4 units to the y-coordinate of the point P'(x, y).
Now we have to translate the triangle 4 units up. So, use the formula
P(x, y) → P'(x, y + 3)
Thus, the coordinates of point A' will be:
A(-2, -3) → A'(-2, -3+3) → A'(-2, 0)
Therefore, the coordinates of point A' will be: A'(-2, 0)
What is the answer to this equation
give a step by step instructions
(just show ur work you don’t have to explain it)
it’s due today please help ;-;
Answer:
1. X-intercept is 5 Y-intercept is 4 (Red Line)
2. X-intercept is 1 Y-intercept is 2 (Blue Line)
3. X-intercept is -2 Y-intercept is 4 (Green Line)
Step-by-step explanation:
DESMOS graphing calculator. Here is the graph showing my work:
Renee has a total of 12 cookies in chocolate chip and peanut butter, C + P = 12. The number of chocolate chip cookies is three times the number of peanut butter cookies, C = 3P. How many of each type of cookie does she have?
Answer:
Renee has 9 Chocolate chip cookies and 3 peanut butter cookies.
Step-by-step explanation:
This is a system of equations:
C + p = 12
C = 3P
All you need to do is substitute C for 3P in the first equation.
C + P = 12
3P + P = 12
4P = 12
Divide both sides by 4
4P/4 = 12/4
P = 12/4
P = 3
Now, substitute P for 3 in the first equation.
C + P = 12
C + 3 = 12
Subtract 3 from both sides
C + 3 - 3 = 12 - 3
C = 12 - 3
C = 9
C = 9, P = 3
Set up a system of equations in 2 variables.
ASAP WILL GIVE BRANLIEST !!!!!!!!!
Answer:
6[tex]\sqrt{5}[/tex]-4[tex]\sqrt{7}[/tex]
Step-by-step explanation:
3[tex]\sqrt{5} -2\sqrt{7} +3\sqrt{5} -\sqrt{28}\\6\sqrt{5}-2\sqrt{7} -2\sqrt{7} \\6\sqrt{5}-4\sqrt{7}\\=2.8334[/tex]
Answer:
The 3rd one!
Step-by-step explanation:
Pls give brainliest i rlly rlly need it—..
Find the smallest solution, and describe the steps you used...[tex]-5ex^{-4x+2}+3=\frac{1}{2}log(x^2+1)[/tex] IM GIVING 50 POINTS!!!
Answer:
You said that you're giving "50" points, but you're actually giving "25" points.
Help please help help
Answer:
7+x
Step-by-step explanation:
the prefix bi means two there for two variables just like in the word bicycle which means two wheels
How many 0.1 slices of portabella mushroom will go on each boot long hoagie? 1.2 lbs of portabella divided by 0.4 lb
Answer:
3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Answer is 4
PLEASE HELP!
functions:
w(x)=-2x+12
m(x)=1/2x-4
find m(2w(x))
Answer:12
Step-by-step explanation:
The height of 2 ball in meters is given by the quadratic equation y= -5+² +14t +3, where t is the time in seconds. After how many
seconds will the ball hit the ground?
Answer: after 3 seconds
when the ball hit the ground => - 5t² + 14t + 3 = 0
⇔ (5t + 1)(t - 3) = 0
⇔ t = 3 or t = -1/5
but t is a positive integer => t = 3
so the ball will hit the ground after 3 seconds
Step-by-step explanation:
Convert 6 miles to feet. hint: 1 mile is 5280 feet
O 35180ft
O 880ft
O 31680ft
Answer:
the answers got deleted because they didn't give an explanation. so, the explanation is: you multiply 5,280 by 6 to get 31,680 ft
Answer:
31680 feet
Step-by-step explanation:
You multiply 5280 nd and you get 31680...