(2)Please help with both questions
Answer:
See below for answers and explanations
Step-by-step explanation:
Problem 1
Let's think of the boat and wind as vectors:
Boat Vector --> [tex]\langle28cos36^\circ,28sin36^\circ\rangle[/tex]
Wind Vector --> [tex]\langle10cos22^\circ,10sin22^\circ\rangle[/tex]
Now, let's add the vectors:
[tex]\langle28cos36^\circ+10cos22^\circ,28sin36^\circ+10sin22^\circ\rangle[/tex]
Find the magnitude (the true velocity):
[tex]\sqrt{(28cos36^\circ+10cos22^\circ)^2+(28sin36^\circ+10sin22^\circ)}\approx37.78\approx38[/tex]
Find the direction (angle):
[tex]\theta=tan^{-1}(\frac{28sin36^\circ+10sin22^\circ}{28cos36^\circ+10cos22^\circ})\approx32.32^\circ\approx32^\circ[/tex]
Thus, D is the best answer
Problem 2
Recall that the angle between two vectors is [tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})[/tex] where [tex]u\cdot v[/tex] is the dot product of the vectors and [tex]||u||*||v||[/tex] is the product of each vector's magnitude:
[tex]\theta=cos^{-1}(\frac{u\cdot v}{||u||*||v||})\\\\\theta=cos^{-1}(\frac{\langle-82,47\rangle\cdot\langle92,80\rangle}{\sqrt{(-82)^2+(47)^2}*\sqrt{(92)^2+(80)^2}})\\\\\theta=cos^{-1}(\frac{(-82)(92)+(47)(80)}{\sqrt{6724+2209}*\sqrt{8464+6400}})\\\\\theta=cos^{-1}(\frac{(-7544)+3760}{\sqrt{8933}*\sqrt{14864}})\\\\\theta=cos^{-1}(\frac{-3784}{\sqrt{132780112}})\\\\\theta\approx109.17^\circ\approx109^\circ[/tex]
Therefore, C is the best answer
x – 5 ÷ 3 + b
6b + 15b ÷ 3
c - 2c × 4
PLEASE ANSWER ITS CONFUSING
Hey there!
Basically for all of your equations/questions you have to COMBINE the LIKE TERMS (if they are any in the particular equation you have)
/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\
QUESTION/EQUATION #1
x - 5 ÷ 3 + b
We pretty much CANNOT do anything to this equation because it doesn’t have that many like terms.
So, thus your answer will most likely be/
[b + x - 5 ÷ 3]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
QUESTION/EQUATION #2
6b + 15b ÷ 3
= 21b ÷ 3
= 7b
Thus, your answer is: [7b]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
QUESTION/EQUATION #3
c - 2c × 4
REWRITE
= 1c - 2c × 4
COMBINE the LIKE TERMS
= 1c - 7
= -7c
Thus, your answer is: [-7c]
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
I need help with this question
Step-by-step explanation:
Whats the value of the question
Answer:
8
----
125
Step-by-step explanation:
(2/5)³
2 2 2 8
--- x --- x --- = ---------
5 5 5 125
I hope this helps!
99 PTS PLS HELP! Data Set 1 has a mean of 152.7 and a MAD of 2.5.
Data Set 2 has a mean of 170.2 and a MAD of 1.7.
What can be concluded about the two distributions?
Select each correct answer.
The means-to-MAD ratio is 10.
The distributions are different.
The distributions are somewhat similar.
The means-to-MAD ratio is 7.
Answer:
the means to and reroof is 10
the distributions are somewhat similar
Step-by-step explanation:
if josh gives 13 fried fish and molly eats 10 how many left are there
Answer:
13-10=3 hence, the Q of ans is 3
a large University with over 40,000 took a recent survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample of 250 students was selected. b = the proportion of students in the sample who claimed to work out 3 at least 3 times a week. What is the standard deviation of the sampling??
Answer:
A large university with over 40,000 students recently took a survey in which 31% of the students claimed to exercise at least 3 times a week. A simple random sample …
✓ approximately Normal, because we would expect at least 10 success and 10 failures
Step-by-step explanation:
Woody has a lasso is 11ft long. No peep has a lasso that is 23ft longer than wordy how long is no peep lasso
Answer:
Bo Peep's lasso is 34ft long.
Step-by-step explanation:
Simply add 11 to 23.
Hope that helps!
Answer:
no peep lasso: 34ft
Step-by-step explanation:
11 + 23 = 34
A cashier samples the transaction of every 10th person who goes though the line at a craft store out of 40 people, 32 used a coupon. If 750 people go to this store each day, how many people would you expect to use a coupon?
If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon
What is probability?Probability is the likelihood of occurrance of an event. It is given by:
Probability = number of occurrence / total number of possible occurence
A cashier samples the transaction of every 10th person who goes though the line at a craft store out of 40 people, 32 used a coupon.
Probability of using coupon = 32/40 = 0.8
Hence if 750 people go to this store each day, number of people sampled = 75.
Number of people expected to use the coupon = 75 * 0.8 = 60
If 750 people go to this store each day, 75 people would be sampled and 60 people would be expected to use a coupon
Find out more on probability at: https://brainly.com/question/24756209
need help with this question please
Answer:
your answer is correct
Step-by-step explanation:
I need help with this question?
Answer:
38.5 cm²
Find area of the full rectangle:
Length * Width
6 * 7
42 cm²
Find area of the missing triangle
1/2 * base * height
1/2 * 7 * 1
3.5 cm²
Area of the figure:
42 - 3.5
38.5 cm²
A prize is divided in the ratio 5:1 if the larger share is £65 what is the total prize?
Answer:
£78
Step-by-step explanation:
65 divided by 5= £13
13+65=£78
Answer:
£78
Step-by-step explanation:
Let the total value be T.
£65/T = 5/(5 + 1)£65/T = 5/6T = 65 x 6 / 5T = 13 x 6T = £78What is the perimeter of the pentagon below? 3.2 cm?
Answer:
You didn't attach a picture of the pentagon, but the perimiter can easily be found using one of the following formulae:
Step-by-step explanation:
P = 5s, where s is the length of a side
P = 2r × Sin(180/5), where r is the radius
AB is a diameter. 48° B A What is the measure of BC? 180° 84 42° 96°
Answer:
84°
Step-by-step explanation:
The central angle of a circle is twice any inscribed angle subtended by the same arc.
because AB is a diameter, we also know that the triangle angle at C is 90° (all the inscribed triangles with their baseline being a diameter are right-angled).
as always, the sum of all angles in a triangle is 180°.
so, we know the triangle angle at A is
180 - 90 - 48 = 42°.
this is also the inscribed angle of the arc BC.
the central angle for arc BC (that is what is requested here) is then twice that angle : 2×42 = 84°
Match each equation to the situation it represents.
Answer:
First one is 10x + 5 = 35
Second one is 5x + 10 = 35
Third one is 35x + 5 = 10
Which of the following is equivalent to
x
2
+
5
x
+
1
=
0
?
Answer:
x= -1/7
Step-by-step explanation:
2x + 5x + 1 = 0
7x = -1
x = -1/7
Lin’s family needs to travel 325 miles to reach her grandmother’s house. At 377 miles, what percentage of the trip’s distance have they completed?
None of these answer this question and I cant get it anywhere else
Answer:
325/377×100= 116% it means they completed 116%of the trip
PLEASE HELP PLEASE HELP
Answer:
Acute angle
Step-by-step explanation:
Acute angle = less than 90 degrees
Answer:
acute angles
Step-by-step explanation:
Angles between 0 and 90 degrees (0°< θ <90°) are called acute angles. Angles between 90 and 180 degrees (90°< θ <180°) are known as obtuse angles. Angles that are 90 degrees (θ = 90°) are right angles.
Plsss helppp me find the slope and yint
Answer:
Y-Intercept: (0, -5)
Slope: 1/2
Explanation:
The y-int is when x = 0. The slope formula is (y2 - y1)/(x2 - x1) in which you use 2 points on the line.
How to change account to have access to tutor
go into settings and click on subscription
Which of the following units are units of capacity? Select all that apply.
Steve wants to download a selection of new music. How many ways can Steve select three rock songs, four alternative songs, and three rap songs from a list of eleven rock songs, five alternative songs, and four rap songs?
Using the combination formula, it is found that there are 3300 ways to choose the songs.
The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.
What is the combination formula?[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
For the rock songs, we have three from a set of eleven, hence:
[tex]C_{11,3} = \frac{11!}{3!8!} = 165[/tex]
For the alternative songs, we have four from a set of five, hence:
[tex]C_{5,4} = \frac{5!}{4!1!} = 5[/tex]
For the rap songs, we have three from a set of four, hence:
[tex]C_{4,3} = \frac{4!}{3!1!} = 4[/tex]
Since the songs are independent, the total number of ways is given by:
[tex]T = 165 \times 5 \times 4 = 3300[/tex]
More can be learned about the combination formula at https://brainly.com/question/25821700
Can someone help me please?
Answer:
11/2
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
This is because each dot represents one plot, and the only number with one plot above it is 1 and 1/2, aka D
Find the area of the figure.
Pls help
It's a trapezoid
Base=15+5=20cmAnother side=15cmHeight=12cmNow
Area:-
1/2(Sum of parallel sides)(Height)1/2(15+20)(12)6(35)210cm^2Phoebe rounded a number to the nearest tenth and got 6.5. When she rounded it to the nearest whole number, she got 7. Which number could be the number she rounded?
Answer:
6.7
please give brainliest
Find the product of 4+3i and its conjugate.the answer is a +bi where
The value of a and b in the product of 4+3i and its conjugate in the format a + bi are 25 and 0.
What is conjugate?The conjugate is where we change the sign in the middle of two terms. For example:
3y + 1
conjugate of 3y + 1 is 3y - 1.
Therefore, the conjugate of 4 + 3i is 4 - 3i.
The product of 4 + 3i and its conjugate is as follows:
(4 + 3i)(4 - 3i) = 16 - 12i + 12i - 9(i)²
Therefore,
16 - 9i²
i² = -1
Hence,
16 - 9(-1) = 25
It can be written in the form a complex form → (25 + 0.i)
Therefore, a = 25 and b = 0.
learn more on conjugate here: https://brainly.com/question/20757260
PLSS ANSWER
Ian drinks two and seven eighths liters of water. Farida drinks one and two eighths liters of water. How many more liters of water does Ian drink than Farida?
a. one and five eighths
b. one and one half
c. one half
d. two eighths
PLEASE HELP ME WITH THIS QUESTION
Answer:
The second option, 1,008 cm²
Step-by-step explanation:
This shape has 5 sides to solve for with reguards to surface area.
Let us solve for them all.
[1 & 2 - the triangles]
12 * 9 = 108 cm²
-> I am not going to divide since we have 2 congruent triangles
[3 - the bottom side]
25 * 12 = 300 cm²
[4 - the side facing away]
25 * 9 = 225 cm²
[5 - the side facing up]
25 * 15 = 375 cm²
Now we will add them together for the total.
108 + 300 + 225 + 375 = 1,008 cm²
The surface area for the triangular prism shown is 1,008 cm².
Answer:
Your answer would be:
C.) 1,350 cm2
Volume = 0.5 x b x h x length
0.5 x (25 x 12) x 9 =
0.5 x 300 x 9 =
= 1,350 cm2
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Look at this parallelogram. Find the value of p.
Answer:
15
Step-by-step explanation:
15 is the answer
If you need solution do let me know in the comments
A tree is 18 feet tall and casts a shadow
that is 22 feet long. How far is it from the
end of the shadow to the top of the tree?
Show your work.
Answer:
28.42 feet
Step-by-step explanation:
Given
Height of tree = 18 feetLength of shadow = 22 feetTo Find
Distance b/w top of tree and end of shadowSolving
This resembles a right triangle⇒ We can use Pythagorean Theorem!⇒ 18² + 22² = L²⇒ L² = 324 + 484⇒ L² = 808⇒ L = 2√202 ⇒ L = 2 x 14.21⇒ L = 28.42 feetAnswer:
28.4 feet
Step-by-step explanation:
The question can be solved by using Pythagoras Theorem.
Given:-
Height of tree :- 18 feet (Perpendicular)
length of shadow :- 22 feet (Base)
To find:-
Distance of shadow from the end to the top of the tree
Solution:-
We know the Pythagoras theorem,
Which is , H² = P² + B²
So putting the given value , we get
H² = 18²+22²
H² = 324 + 484
H = √ 808 feet
H = 28.4 feet