9514 1404 393
Answer:
a) 123.4°
b) 3.3 km
Step-by-step explanation:
In (N, E) coordinates, Boat 1 is located relative to the lighthouse at ...
2(cos(60°), sin(60°)) = (1.0, 1.732) . . . . . km
Boat 2 is located at ...
3(cost(340°), sin(340°)) = (2.819, -1.026) . . . . . km
So, relative to Boat 2, Boat 1 is located at ...
(1, 1.732) -(2.819, -1.026) = (-1.819, 2.758) . . . . . km
This is at a bearing of ...
arctan(2.758/-1.819) = 123.4°
and a distance of ...
√(1.819² +2.758²) ≈ 3.304 . . . . . km
a) Boat 2 would need to travel on a bearing of 123.4°.
b) Boat 2 would need to travel 3.3 km.
_____
Additional comment
We use (North, East) coordinates so we don't have to do the mental gyrations necessary to translate to and from (E, N) coordinates. The latter would correctly orient a map relative to the X-Y Cartesian plane. The former are equivalent to flipping the map over and looking at it from the back side. This is a "rigid transformation", so angles and distances remain unchanged.
Mrs. Moore used the spinner below for a game played during Bear Time.
What is the probability that the next student to spin the spinner will get
blue?
Red Orange
Blue
Red
Red
Blue
Green Orange
1/4
1/2
O 1/8
O 3/5
Answer:
1/8
Step-by-step explanation:
yay
-3/5 + ( - 1/10) simplified fraction
Answer:
-1/2
if it's not right let me know
Step-by-step explanation:
Help plz!!,!!!!!!,!!!!!,!,!,!,
Answer:C
Step-by-step explanation:
Quadrilateral GHIJ has coordinates G(5, 1), H(4, -3), I(6, -1), and J(2, 1). If the quadrilateral is reflected over the line y = -x, what are the coordinates of G'?
Answer:
Where is the diagram
Step-by-step explanation:
1/3 HB=T solve for B
Answer:
yes I agree B=3t/h
Step-by-step explanation:
hope this helps :)
Can someone help me with 6?
Answer:
you mesuare the apple to see if it greater or less than 3 centimeter
Step-by-step explanation:
please i need help with this asap!!! I will give brainliest!!! please and thank you!!
Answer:
The y-intercept is 2 and the slope is 1/2. So the equation is y = 1/2x + 2
Step-by-step explanation:
The y-intercept is where the line starts on the y-axis. For the slope to the next point on the line you have to move 2 units to the right and 1 unit up. When writing the slope as a fraction, you always put how far you move up or down above how far you move to the right or left.
What the answer to this question 8 (x+5)
Tickets to the school play cost $9 for adults and $5 for students. The Wilson family bought 3 adult tickets and 4 student tickets. Which expression matches the situation?
A. 9(3) + 5(4)
B. 3(5) + 9(4)
C. (5+9) + (3+4)
D. 47
A
Because of 3 adults bought 3 tickets, 9 x 3. 9(3)
4 students bought 4 tickets, 4 x 5, 4(3)
How likely is it that the spinner will land on a green space?
Answer:
1/5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
A water faucet leaked 2 1/6 liters of water every 2/5 of an hour. It leaked at a rate of how many liters per hour?
$4,000 principal earning 6% interest after 3 years Simple Interest
Answer:
$4720
Step-by-step explanation:
Simple Interest
A=P(1+in)
A- Accumulated Amount
P- Principal Amount
i- Interest (÷100)
n- Number Of Years
A=P(1+in)
A=4000(1+0.06×3)
A=4000(1.18)
.°.A=$4720
Help with this question
Solve 5x/2 > 7
Answer:
x > [tex]\frac{14}{5}[/tex]
Step-by-step explanation:
Given
[tex]\frac{5x}{2}[/tex] > 7 ( multiply both sides by 2 to clear the fraction )
5x > 14 ( divide both sides by 5 )
x > [tex]\frac{14}{5}[/tex]
Solve the equation square root x+4-3=1 for the variable. Show each step of your solution
So can you just explain how to do it
PLS HELP ME I WILL MARK!!!!~ don't need to show work
Answer:
The answer is: 2x+1f(x)=
Step-by-step explanation:
The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.
Solve for x. Round all answers to the nearest tenth
(7^3)^-5
Please help! :)
Question 3
Simplify the expression by combining like terms
Expression: 8y + 14x - 7y2 - 15x + 3y
Like Terms: I
Simplified Expression:
Answer:
-7y^2-x+11y
Step-by-step explanation:
Which system of linear equations has a solution of (2, 3)?
Answer:
i don't know
Step-by-step explanation:
find the value of x ?
Answer:
Step-by-step explanation:
x = 1.5·42 = 63
How can you determine the number of solutions of a system of linear equations by inspecting its equations?
Step-by-step explanation:
To find - How can you determine the number of solutions of a system
of linear equations by inspecting its equations?
Proof -
There exists three types of solution for a system of linear equations.
1. No solution.
2. Unique solution.
3. Infinite many solutions.
Now,
Let the 2 linear equations are as follows :
y = ax + b
y = cx + d
1. For no solution -
a = c and b ≠d
For example-
y = -2x + 5
y = -2x - 1
Subtract first equation from second , we get
y - y = -2x - 1 - ( -2x + 5)
⇒0 = -2x - 1 + 2x - 5
⇒0 = -6
Not possible
So, There exist no solution.
2. For unique solution -
a ≠ c and b , d can be any value
For example -
If b and d are same ,
y = 2x - 4
y = -3x - 4
Subtract equation 1st from 2nd , we get
y - y = -3x - 4 - ( 2x - 4)
⇒0 = -3x - 4 - 2x + 4
⇒0 = -5x
⇒x = 0
⇒y = 2(0) - 4 = -4
∴ we get
x = 0, y = -4
If b and d are different
y = 2x - 4
y = -3x + 5
Subtract equation 1st from second
y - y = -3x + 5 - 2x + 4
⇒0 = -5x + 9
⇒-5x = -9
⇒x = [tex]\frac{9}{5}[/tex]
⇒y =2([tex]\frac{9}{5}[/tex]) - 4 = [tex]\frac{18}{5} - 4 = \frac{18 - 20}{5} = -\frac{2}{5}[/tex]
∴ we get
x = [tex]\frac{9}{5}[/tex] , y = [tex]-\frac{2}{5}[/tex]
3. Infinitely many solution -
a = c and b = d
For example -
y = -4x + 1
y = -4x + 1
Subtract equation first from equation second
y - y = -4x + 1 - ( -4x + 1)
⇒0 = -4x + 1 + 4x - 1
⇒0 = 0
Satisfied
So, Infinite many solution possible.
A restaurant has a total of 30 employees there are 14 who work in the evening and the rest work during the day what is the ratio of employees who work in the evening to employees who work during the day?
A: 7:8
B: 7:15
C: 8:7
D: 8:15
the cost of 5 cans of dog food is 4.35. how much do 11 cans of dog food cost
É só vc ir somando até 11.
Ou multiplicar por 11.
4,35x11
Espero ter ajudado!
URGENT !!!!!!!!! Please answer correctly !!!!! Will be marking Brianliest !!!!!!!!!!!!!!!!
Last week, the price of gas was $2.25 per gallon. This week,
the price of gas has increased by 4%. What is the price of gas
this week?
G
Answer:
$2.25 + 4% = $2.34
It increased by 9 cents
Step-by-step explanation:
Write an expression equivalent to 6 - 4(3 - 6m) + 12m that is the product of two factors. Show your work.
Answer: 6(6m - 1)
Step-by-step explanation:
6 - 4(3 - 6m) + 12m
= 6 -12 + 24m + 12m
= 36m - 6
= 6(6m - 1)
Write the expression in repeated multiplication form. Then write the expression as a power. (-8)^3*(-8)^4 The expression in repeated multiplication form is... can someone help me im kinda confused
Given:
The expression is
[tex](-8)^3\cdot (-8)^4[/tex]
To find:
The expression in repeated multiplication form and then write the expression as a power.
Solution:
We have,
[tex](-8)^3\cdot (-8)^4[/tex]
The repeated multiplication form of this expression is
[tex]=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)][/tex]
[tex]=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex]
Clearly, (-8) is multiplied seven times by itself. So,
[tex]=(-8)^7[/tex]
Therefore, the repeated multiplication form of the given expression is [tex](-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex] and the expression as single power is [tex](-8)^7[/tex].
Canarie Manufacturing produces snow shovels. The selling price per snow shovel is $29.00. There is no beginning inventory. Costs involved in production are: Direct material $4.00 Direct labor 4.00 Variable manufacturing overhead 3.00 Total variable manufacturing costs per unit $11.00 Fixed manufacturing overhead per year $233,550 In addition, the company has fixed selling and administrative costs of $162,400 per year. During the year, Canarie produces 51,900 snow shovels and sells 46,500 snow shovels. Exercise 5.11 What is the value of ending inventory using full costing? Value of ending inventory
Answer:
Value of ending inventory = $97,650
Step-by-step explanation:
Full costing is a costing method that consider all the costs including all variable and fixed costs in determining the cost of producing products or services.
From the question, we have the following:
Total variable manufacturing costs per unit = $11.00
Fixed manufacturing overhead per year = $233,550
Number of snow shovels produced during the year = 51,900
Number of snow shovels sold during the year = 46,500
Therefore, we have:
Total variable manufacturing costs incurred during the year = Total variable manufacturing costs per unit * Number of shovels produced during the year = $11.00 * 51,900 = $570,900
Based on full costing, we have:
Total cost of producing snow shovel during the year = Fixed manufacturing overhead per year + Total variable manufacturing costs incurred during the year = $233,550 + $570,900 = $804,450
Production cost per unit = Total cost of producing snow shovel during the year / Number of snow shovels produced during the year = $804,450 / 51,900 = $15.50
Number of ending inventory = Number of snow shovels produced during the year - Number of snow shovels sold during the year = 51,900 - 46,500 = 6,300
Value of ending inventory = Number of ending inventory * Production cost per unit = 6,300 * $15.50 = $97,650
Who want to help me out
Answer:
A, B, and C
Step-by-step explanation:
Since there are no right angles, 89 is too close to 90 which is a right angles (which there are no angles even close to 90) and 94 would be too large since all angles are less than 90 degrees.
what is the exact value of X
Answer:
x=2
Step-by-step explanation:
hi so im gonna be honest im too lazy to write down how i found the answer but it should be x=2. hope it helps!
ps pls tell me if it was correct :)