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:
A student has a container with the volume 1.5 liters. She estimates the volume to be 1.2 liters. By what percent is the student's estimate off? I don't need a step-by-step explanation, I just want the right answer.
Answer:
20%.
1.2/1.5 = 0.8
0.8*100 = 80%
100%-80% = 20%.
We can verify this:
1.5-20% = 1.2.
Answer: 20%
Step-by-step explanation:
At a store each notebook has a cost of
inequality?
dollars. Which situation can be represented by this
5x < 3x + 2
A The cost of 5 notebooks is greater than the cost of 3 notebooks plus a $2 pen.
B The cost of 5 notebooks is less than the cost of 3 notebooks with a $2-off coupon,
C The cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen.
D The cost of 5 notebooks is $2 greater than the price of 3 notebooks.
Answer:
The answer is C.
Step-by-step explanation:
The < sign means that it will be less than so you can remove A and D. But it's not B either because of the $2 off coupon. Off means you would be subtracting meaning it'll look like this 5x < 3x - $2. So the correct answer is C.
Hope this helps!
The inequality is transformed into a sentence will be the cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen. Then the correct option is C.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The act of converting mathematical equations into a specified statement is known as equation-to-sentence transformation.
The inequality is given below.
5x < 3x + 2
The inequality is transformed into a sentence will be the cost of 5 notebooks is less than the cost of 3 notebooks plus a $2 pen. Then the correct option is C.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ5
please help
Greater than
Less than
or Equal to
7x-7=3x-23. can u show the steps
Answer: ight bet i gotchu its x=−4
Step-by-step explanation:
Let's solve your equation step-by-step.
7x−7=3x−23
Step 1: Subtract 3x from both sides.
7x−7−3x=3x−23−3x
4x−7=−23
Step 2: Add 7 to both sides.
4x−7+7=−23+7
4x=−16
Step 3: Divide both sides by 4.
4x/4=-16/4
ANSWER: X = -4
is j + 8 = 72 a solution
The revenue from selling x tickets is r(x) = 10x. The cost for buying x tickets is c(x) = 8x + 40. The profit from selling x tickets is p(x) = r(x) – c(x).9. What is p(x)? *
Answer:
p(x)=2x-40
Step-by-step explanation:
Substitute the variables
p(x)=10x-(8x+40)
p(x)= 10x-8x-40
p(x)=2x-40
Answer:
p(X) = r(X) - c(X).9
⇔ p(X) = 10x - (8x+ 40).9
⇔ p(X) = 10x - 72x - 360
⇔ p(X) = -62x - 360
Step-by-step explanation:
Given the functions f(x) and g(x + 2) - 4, what translation(s) to the graph of f(x) is (are) done so that the graph of g(x) is obtained from the graph of f(x)?
Answer:
my mom calls me I'll be back
Calculate the composite surface area of the figure !!
Brenda and Cody are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large boxes of tangerines. Brenda sold 12 small boxes of tangerines and 1 large box of tangerines for a total of $151. Cody sold 1 small box of tangerines and 3 large boxes of tangerines for a total of $68. Find the cost each of one small box of tangerines and one large box of tangerines
Answer:the cost of a small box of tangerine= $11 and the cost of a large box of tangerine= $19
Step-by-step explanation:
Step 1
Let price of small box of tangerines be represented as x
and price of large box of tangerines be represented as y
Such that the equqtion for Brenda who sold 12 small boxes of tangerines and 1 large box of tangerines for a total of $151 be represented as
12x + y = 151--------equation 1
and
the equation for Cody who 1 small box of tangerines and 3 large boxes of tangerines for a total of $68
x + 3y= 68-------equation 2
Step 2
12x + y = 151--------equation 1
x + 3y= 68-------equation 2
By eliminaton methd multiply equation 2 by 12
x + 3y= 68-------equation 2 x (12)
12x + 36y=816 --------equation 3
Subtract equation 1 from equation 3
12x + 36y=816 --------equation 3
-12x + y = 151--------equation 1
35y=665
y=665/35 =19
to get x , we substitute the value of y=19 into equation2
x + 3y= 68
x+ 3 x 19=68
x=68-57
x=11
Therefore the cost of a small box of tangerine= $11 and the cost of a large box of tangerine= $19
ASAP solve 21x+6=300 30 points
Answer:
x = 14
Step-by-step explanation:
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression. 21x+6=300 X=14, 21x14=294+6=300.
what is the value of x?
Answer:
x=3
Step-by-step explanation:
Please answer ASP
1. Fill in the blank. When you clear out the fractions in the equation you ______.
2. Trey was solving the equation below in class. The teacher has already told Trey his answer is incorrect but he can’t find his mistake. What mistakes has Trey made that are preventing him from getting a correct answer? What is the correct answer?
9514 1404 393
Answer:
1. multiply both sides by 3
2. (a) chose to multiply by 2/3 instead of 3/2; (b) did the multiplications incorrectly, both for the fraction and the integer; (c) x = 9
Step-by-step explanation:
1. If you want to "clear fractions," you multiply by the denominator of the fraction.
3(2/3)x = 3(6)
2x = 18
__
2. The coefficient of x is 2/3. If you want it to be 1, you need to multiply by the multiplicative inverse of 2/3, which is 3/2. Doing that gives ...
(3/2)(2/3)x = (3/2)6
Then simplifying gives ...
x = 18/2 = 9
__
Trey's mistakes were: a) choosing the wrong multiplier; b) carrying out the multiplication incorrectly. (2/3)(2/3) = 4/9, and 6(2/3) = 4. Had Trey done the multiplications correctly, he would have seen that he needed a different multiplier to get to the answer.
Does (–3, 9) make the equation y = –3x true?
Answer:
Yes, (-3,9) makes the equation of y = -3x true
Step-by-step explanation:
y = -3x (-3,9)
9 = -3(-3)
9 = 9
TRUE
Answer:
Move convo here
Step-by-step explanation:
Convert 6 4/5 into improper fractions.
32/6
32/5
33/5
36/5
Answer: 34/5
Step-by-step explanation:
which one doesn’t belong?
come to your house to pick it lowest to go with D
Answer:
All of them have different answers so gonna say D because its only one number
Step-by-step explanation:
Hope this helps
sorry If its wrong
Select the correct answer.
Which function is represented by the graph?
Answer: B
Step-by-step explanation:
ITS D
Step-by-step explanation:
Urgent!!! What is the solution of the system?
Answer:
(-38,18)
Step-by-step explanation:
Step: Solvex+3y=16for x:
x+3y+−3y=16+−3y(Add -3y to both sides)
x=−3y+16
Step: Substitute−3y+16forxin2x+5y=14:
2x+5y=14
2(−3y+16)+5y=14
−y+32=14(Simplify both sides of the equation)
−y+32+−32=14+−32(Add -32 to both sides)
−y=−18 Divide both sides by -1
[tex]\frac{-y}{-1} =\frac{-18}{-1}[/tex]
y=18
Step: Substitute18foryinx=−3y+16:
x=−3y+16
x=(−3)(18)+16
x=−38
Anyone know this pls help me
What is the slope of a line that is perpendicular to the
line shown on the graph?
5
4
4 3
2
1
54 -3 -2 -11
1 2 3 4 5 X
4
-2
1-3
-4
25
Answer:
The slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
Step-by-step explanation:
From the line equation, let us take two points
(0, 2)(4, 1)Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:2\right),\:\left(x_2,\:y_2\right)=\left(4,\:1\right)[/tex]
[tex]m=\frac{1-2}{4-0}[/tex]
[tex]m=-\frac{1}{4}[/tex]
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line, so
The slope of the perpendicular line will be:
[tex]-\frac{1}{-\frac{1}{4}}=4[/tex]
Thus, the slope of a line that is perpendicular to the line
shown in the graph is = 4
Hence, option 'd' is true.
Jackie weighed an Amazon box that was delivered to her home.The box weighed 192 ounces.How much does the box weight in pounds
Answer:
12 pounds
Step-by-step explanation:
You have to divide the mass value by 16.
Combine like terms:
8b + 8 -4b -3
Which expression has a value of 50 after simplifying?
A.
(24 + 48) ÷ 4 + 2
B.
8 + (15 – 4) x 4 – 10 ÷ 5
C.
36 – 24 ÷ 6 + 24
D.
(8 + 12) – 6 + 9
Answer:
B number is right.
8 + (15 – 4) x 4 – 10 ÷ 5
8+11×4--10÷5
8+11×4-2
8+44-2
52-2
50
8. Write the equation of the line in standard form with integer coefficients.
y= 3/2 x - 1/2
Answer:
y= 1 1/2x-1/2
Step-by-step explanation:
(Timed) Solve the system of equations work shown
Substitution Method
For x:
[tex]y = \frac{5}{4}x - 2\\y = -\frac{1}{4}x + 19\\\\\frac{5}{4}x - 2 = -\frac{1}{4}x + 19\\\\\frac{3}{2}x - 2 = 19\\\\\frac{3}{2}x = 21\\\\x = 14[/tex]
For y:
[tex]y = \frac{5}{4}(14) - 2\\\\y = 17.5 - 2\\\\y = 15.5[/tex]
Solution:
[tex](14, 15.5)[/tex]
Graphing Method
According to this graph, the solution will be [tex](14, 15.5)[/tex].
what is the value of k in the following equation?
12+k/22=13
Answer: k=22
Step-by-step explanation:
12+k/22=13
-12 -12
k/22=1
k=1*22
k=22
Determine which set of numbers represent the lengths of the sides of a triangle.
A.
15, 12,9
B.
20, 10,9
C.
47, 21, 70
D.
12, 2.2, 14.3
will give brainliest!!
Answer:
I think its A
Step-by-step explanation:
Please mark brainliest
If the line y = x is flipped over the x axis and made flatter by a factor of 1/2 , write the equation of the new line .
PLEASE HELP
One to one function and value
Answer:
yes
Step-by-step explanation:
no two points have the same y value
How much interest will you pay on a loan of $2,620, with a 3% interest rate, paid over 5
years?
Answer:
You'll pay $3013
Step-by-step explanation:
Amount to pay=$2620+Interest accrued
A=$2620+($2620×0.03×5)
A=$2620+$393
A=$3013
I need help! please help
Answer:
B
Step-by-step explanation:
Please mark me brainleist