This can solved using the cosine law which is:
c² = a² + b² - 2ab cos θ
Using the values given from the problem
6² = b² + b² - 2bb cos 112.62
And solving for b
36 = 2b² - 2b² cos 112.62
b = 3.6
The answer is the 3rd option.
Answer:
b = 3.6
Step-by-step explanation:
a.
Which of the following equations correctly describes how to calculate net income?
net income = (cost of goods sold) - (net sales) - (operating expenses)
b. net income = (operating expenses) - (cost of goods sold) - (net sales)
net income = (operating expenses) + (cost of goods sold) - (net sales)
d. net income = (net sales) - (cost of goods sold) - (operating expenses)
C.
Please select the best answer from the choices provided
Ο Α
B
OD
Answer:
net income = (cost of goods sold) - (net sales) - (operating expenses)
Step-by-step explanation:
because income is based on sales, thus the cost of how much you got minus all the expenses must be the net income.
A submarine dove to a level of 450 meters below the surface of the ocean. Later it
climbed 270 meters and finally dove 80 meters more. At what depth did it stop?
Answer:
260 Meters Below the Surface
Step-by-step explanation:
"Dove 450 meters" = - 450
"Climbed 270 meters" = +270
"Dove 80 meters more" = - 80
-450+270-80
-180-80
-180+(-80)
-260 or 260 Meters Below the Surface
−1−(−5x)−2x+2x 2 +7
Simplify this expression as much as possible
Answer:
Hello, the simplified expression would be:
7x + 6
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Triangle ABC is defined by the points A(3,8), B(7,5), and C(2,3).
Create an equation for a line passing through point A and perpendicular to BC.
y=
X +
Reset
Next
Answer:
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex]
Step-by-step explanation:
Calculate the slope m of BC using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = B (7, 5 ) and (x₂, y₂ ) = C (2, 3 )
[tex]m_{BC}[/tex] = [tex]\frac{3-5}{2-7}[/tex] = [tex]\frac{-2}{-5}[/tex] = [tex]\frac{2}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{5} }[/tex] = - [tex]\frac{5}{2}[/tex] , then
y = - [tex]\frac{5}{2}[/tex] x + c ← is the partial equation
To find c substitute A (3, 8 ) into the partial equation
8 = - [tex]\frac{15}{2}[/tex] + c ⇒ c = 8 + [tex]\frac{15}{2}[/tex] = [tex]\frac{16}{2}[/tex] +[tex]\frac{15}{2}[/tex] = [tex]\frac{31}{2}[/tex]
y = - [tex]\frac{5}{2}[/tex] x + [tex]\frac{31}{2}[/tex] ← equation of perpendicular line
The equation for a line passing through point A and perpendicular to BC is 2y = -5x +31 or y = -2.5x +15.5.
What is the equation of a Straight Line ?The equation of the straight line is represented by
y = mx+c
where m is the slope , and c is the intercept on y axis.
The equation of the line BC for points B(7,5), and C(2,3) is
y- y' = m(x-x')
m = 2/5
and c =
y-5 = (2/5)x - (14/5)
y = (2/5)x+(11/5)
The slope of the line perpendicular rot this line is given by
as the product of two perpendicular lines should be -1
m = -5/2
y = (-5/2)x +c
8 = (-15/2) + c
8 +(15/2) = 0
31/2 = c
Therefore the equation for a line passing through point A and perpendicular to BC is
2y = -5x +31
To know more about equation of a Straight Line
https://brainly.com/question/959487
#SPJ5
Select the situation that have a unit rate equivalent to 3 units to 1 unit
Answer:
A gardener harvested 15 tomatoes from 5 plants
[tex]77 \times 5 \: equal \: what \\ [/tex]
what is the answer
Answer:
385 is the result of multiply 77 by 5
How many intervals are there in the hisogram in figure 1.4?
Answer: 5 to 20 intervals.
Step-by-step explanation:
$5.95-$2.29 explained step by step
Answer:
$3.66
Step-by-step explanation:
5.00-2.00 = 3.00
0.95-0.29 = 0.66
3.00 + 0.66 = $3.66 which is the answer
Ok,so:
We don’t need the $ sign now.
So.
1. 5.95 -2.29 which is 3.66!
5 - 2 is 3, and 0.95 - 0.29 is 0.66.
So now add :3 + 0.66 is 3.66
So $3.66!
Hope this helped!
Solve: 4x − 9 = 39
help
Answer:
Group into like terms. divide both sides by the coefficient of xFind the slope and y intercept of the line 3x+2y=-6
Answer:
Step-by-step explanation:
Slope - -3/2
y-intercept- (0,-3)
what is the value of 17-2(5-3)
Answer:
13
Step-by-step explanation:
17-10+6
7+6=13
hope it helps
- 5/2 divided by 5)7
Answer:
-7/2
Step-by-step explanation:
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
[tex] \boxed{ - \frac{7}{2} }[/tex][tex] \huge \boxed{ \mathfrak{Explanation}}[/tex]
let's solve ~
[tex] \dfrac{ - 5}{2} \div \dfrac{5}{7} [/tex][tex] \dfrac{ - 5}{2} \times \dfrac{7}{5} [/tex][tex] \dfrac{ - 1 \times 7}{2 \times 1} [/tex][tex] - \dfrac{7}{2} [/tex]PLEASE HELP ME. HAVE TO BE DONE IN FRACTION
3/4 - 7/9 + 2/3 =
Answer:
23/36
Step-by-step explanation:
use BODMAS
fist add 3/4+2/3
to get 17/12
then subtract 17/12-7/9
to get 23/36
A sales person at a car dealership earns a monthly salary of $2400 and $250 for each vehicle sold
3. The car dealership sets a goal for each salesperson to sell at least 12 cars per month. The salesperson
achieves this goal every month for the entire year. What is the minimum amount of money the
salesperson earns for the entire year? Show your work.
I
Answer:
8 vehicles
Step-by-step explanation:
Given: Monthly salary of salesperson is $2400
Incentive of salesperson is $250 per vehicle sold.
First, lets compute income to earned apart from salary.
∴ Deduct salary from the target amount
$2000 need to be earned only through incentive, which is $250 per vehicle sold.
Now, solving to get number vehicles to be sold to earn $2000 as incentive.
Number of vehicle=
8 vehicles need to be sold by salesperson to get total earning as $4400.
No weird websites ONLY HElP
Nico uses a uniform probability model for an experiment using a deck of 40 cards. There are 10 blue cards, 10 red cards, 10 green cards, and 10 yellow cards in the deck. Cards will be drawn one at a time and then replaced in the deck before another card is drawn. He uses the probability model to determine the probability of drawing a green card or a red card. What is P(green or red)? Enter your answer as a simplified fraction in the box.
Answer:
it's 1/2
50%
Step-by-step explanation:
i did the quiz in k12 ND GOT IT RIGHT HOPE THIS HELPS, IF ITS RIGHT CAN YOU PLS MARK ME THE BRAINLIEST.
Answer: The answer is 1\2 or 50%
Explanation: I took the test and this was right
Hope this helps
Estimate the product 2.1 x 0.9
Answer:
2.0 estimated product
1.89 Actual product
Step-by-step explanation:
2.0*1.0=2.0
2.1*1.0=1.89
The product of 2.1 x 0.9 = 1.89
What is Product?A product is something that has been multiplied one or more times. For instance, the mathematical formula "times equals" would be written with the terms "times," "multiplicand," and "product," respectively.
Given:
2.1 x 0.9
Now, Multiplying
2 . 1
x 0 . 9
_________
1 8 9
0 0 x
__________
1 . 8 9
Hence, the product of 2.1 x 0.9 = 1.89
Learn more about product here:
https://brainly.com/question/624355
#SPJ2
STATE THE MODULES THAT ARE INCLUDED WHEN LEARNING CALCULUS I.
Answer:
Calculus is the branch of mathematics studying the rate of change of quantities (which can be interpreted as slopes of curves) and the length, area, and volume of objects. The chain rule is a formula for the derivative of the composition of two functions in terms of their derivatives.
The sum of two numbers is twenty-four. The difference of the two numbers is four.
Answer:
[tex]x + y = 24[/tex]
[tex]x - y = 4[/tex]
Now, add these two equations.
You get,
[tex]2x = 28[/tex]
[tex]x = \frac{28}{2} [/tex]
[tex]x = 14[/tex]
Given,
[tex]x + y = 24[/tex]
[tex]14 + y = 24[/tex]
[tex]y = 24 - 14[/tex]
[tex]y = 10[/tex]
You can test this to the other equation as well.
[tex]x - y = 4[/tex]
[tex]14 - 10 = 4[/tex]
Hence, the two numbers are 14 and 10.
What are the terms in the expression 2d + 7 + 5f?
ASAP
2 and 5
d and f
2d, 7, and 5f
2, 7, and 5
2d, 7, and 5f i hope this helps
Answer:2d,7,and 5f
Step-by-step explanation:
A rectangle is drawn so that the width is 1 feet shorter than the length. The area of the rectangle is 72 square feet. Find the length of the rectangle.
Answer:
9 ft
Step-by-step explanation:
Atea = length* width
what two numbers multiply to 72 but are one number apart
9 * 8
9 is the length since the width is given as being shorter.
other numbers can multiply to 72 but they are not one number apart.
Answer:
9ft
Step-by-step explanation:
Complete each ordered pair so that it is a solution of the given linear equation. x - 3y=4;(.-3), (-11, ) The first ordered pair is 0-3).
Answer:
Step-by-step explanation:
x - 3y = 4
x - 3(-3) = 4
x + 9 = 4
x = -5
(-5, -3)
-11 - 3y = 4
- 3y = 15
y = -5
(-11, -5)
I don't see how (0, -3) could be a solution to the equation.
What is the product of 246 and 176?
Answer:
43296
Step-by-step explanation:
Answer: 43296
Step-by-step explanation:
If you multiply 246 and 176, you get 43296.
2/3 : 2/6 as a unit rate
Answer:
3/1
Step-by-step explanation:
PLZ HELP ME SOMEONE!!!
Answer:
131
Step-by-step explanation:
Hope this helps
Answer:
the answer is 130.9 round it up and you get 131
Step-by-step explanation:
Simplify (−4.5)(−6)(5.4).
i need the answer pls
Answer:
145.8
Step-by-step explanation:
−4.5 x −6 x 5.4
Answer:
the answer is 145.8
Step-by-step explanation:
sorry if I did it wrong
(7x)(2xy) how do I rewrite that as a sum
A recipe called for the ratio of sugar to flour to be 10:3, if you used 70 ounces of sugar, how many ounces of flour would you need to use
Answer:
21 ounces of flour
Step-by-step explanation:
10/3 = 70/x
isolate the so that it is on the top, so multiply by x on the right and on the left
this gives you:
x*10/3=70
try to isolate x and multiply by 3 to get rid of the denominator
x*10=70*3
x*10= 210
finally isolate x by dividing by 10 and getting rid of the 10 multiplying with it
x= 210/10
x=21
you need 21 ounces of flour if you have 70 ounces of sugar you can double check by making sure the ratio of 10/3 is equal to 70/21 and of course they both equal 3.33 repeating, therefore your answer is correct Hope that helps
Answer:
You would need 21 ounces of flour
Step-by-step explanation:
sugar:flour
10:3
10x7=70
70:?
3x7=21
70:21
A number that has more than two factors is a
Composite number? I’m not sure if that’s what you’re working on but it’s a true statement.
The system shown has
solution(s).
y= 2x+1
X
2y-x = 6
No
one
Infinite
9514 1404 393
Answer:
one solution; (x, y) = (4/3, 11/3)
Step-by-step explanation:
The two lines described by the equations have different slopes, so there will be exactly one solution to the system of equations.
__
The slope of the line will be the coefficient of x when you solve for y. In the first equation, the slope is 2. In the second equation, you can solve for y by adding x, and dividing by 2. Then the slope of that line is found to be 1/2.
Lines with different slopes must intersect somewhere. That point of intersection is the (one) solution to the system of equations.
2/3 divided by 3/4 simplified
