Answer:
cos α = - [tex]\frac{12}{13}[/tex]
Step-by-step explanation:
Since α is in second quadrant then cosα < 0
Using the identity
sin²α + cos²α = 1 then
cosα = - [tex]\sqrt{1-sin^2\alpha }[/tex]
= - [tex]\sqrt{1-(\frac{5}{13})^2 }[/tex]
= - [tex]\sqrt{1-\frac{25}{169} }[/tex]
= - [tex]\sqrt{\frac{144}{169} }[/tex]
= - [tex]\frac{12}{13}[/tex]
Movers Company manufactures sneakers. The production of their new sneaker for the coming three months is budgeted as follows: August 30,000 September 50,000 October 35,000 Each sneaker requires 2 hours of direct labor time. Direct labor wages average $15 per hour. Monthly overhead averages $10 per direct labor hour plus fixed overhead of $4,500. What is the direct labor cost budgeted for September?
Answer:
Direct labor cost= $1,500,000
Step-by-step explanation:
Giving the following information:
Production:
September 50,000
Each sneaker requires 2 hours of direct labor time.
Direct labor wages average $15 per hour.
First, we need to calculate the number of direct labor hours required:
Direct labor hours= 50,000*2= 100,000 hours
Now, the direct labor cost:
Direct labor cost= 100,000*15= $1,500,000
Michael invests USD 20 000 at 9.6% p.a. compounded monthly.
How long will it take for his investment to reach USD 25 000?
Given :
A = 25000
P = 20000
r % = 9.6 % = 0.096
n = 12
To Find :
The time taken say t.
Solution :
We know, compound interest is given by :
[tex]A=P(1+\dfrac{r}{n})^{n.t}[/tex]
Taking log both sides :
[tex]A=P(1+\dfrac{r}{n})^{n.t}\\\\log\ \dfrac{A}{P}= n.t\times log( 1+\dfrac{r}{n})\\\\t =\dfrac{1}{n}\times \dfrac{log\ \dfrac{A}{P}}{log(1+\dfrac{r}{n})}\\\\\\t=\dfrac{1}{12}\times \dfrac{log\ \dfrac{25000}{20000}}{log(1+\dfrac{0.096}{12})}\\\\\\t=2.33\ years[/tex]
Hence, this is the required solution.
What is the area, in square meters, of the shape below? Express your answer as a fraction in simplest form
Answer:
[tex]\frac{5}{12}[/tex]m²
Step-by-step explanation:
Given parameters:
Base = [tex]\frac{5}{3}[/tex]m
Height = [tex]\frac{1}{2}[/tex]m
Unknown:
Area of the triangle = ?
Solution:
The area of a traingle is given as:
Area = [tex]\frac{1}{2}[/tex] x base x height
Insert parameters and solve;
Area = [tex]\frac{1}{2}[/tex] x [tex]\frac{5}{3}[/tex] x [tex]\frac{1}{2}[/tex] = [tex]\frac{5}{12}[/tex]m²
Answer:
Step-by-step explanation:
5/10
What is the value of x?
Answer:
x = 32
Step-by-step explanation:
Each angle of the equilateral triangle is 60°.
(2x -4)° = 60°
x -2 = 30 . . . . . . divide by 2°
x = 32
__
5y° = 60°
y = 12 . . . . . . . . . divide by 5°
18. Supongamos que tras una encuesta se ha concluido que si se elige al azar a una persona, la probabilidad de que esté a favor de la retransmisión de partidos de fútbol es de 0,8; de que esté a favor de la existencia de canales de televisión de pago, de 0,4;y de que esté a fa vor de la retransmisión de partidos de fútbol y tam bién de la existencia de canales de pago, de 0,3 a) Calcula la probabilidad de que una persona esté a favor de la retransmisión de partidos de fútbol o de la existencia de canales de televisión de pago.
Responder:
0,9
Explicación paso a paso:
Sea P (MuT) la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago
probabilidad de que esté a favor de retransmitir partidos de fútbol sea P (M) = 0,8
Probabilidad de que esté a favor de la existencia de canales de televisión de pago P (T) = 0,4
La probabilidad de que esté a favor de la retransmisión de partidos de fútbol y también de la existencia de canales de pago sea P (MnT) = 0,3
Usando la fórmula de notación de conjuntos
P (MuT) = P (T) + P (M) - P (MnT)
Sustituir los parámetros dados
P (MuT) = 0,4 + 0,8-0,3
P (MuT) = 1,2-0,3
P (MuT) = 0,9
De ahí que la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago es de 0,9.
Answer:Responder:
0,9
Explicación paso a paso:
Sea P (MuT) la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago
probabilidad de que esté a favor de retransmitir partidos de fútbol sea P (M) = 0,8
Probabilidad de que esté a favor de la existencia de canales de televisión de pago P (T) = 0,4
La probabilidad de que esté a favor de la retransmisión de partidos de fútbol y también de la existencia de canales de pago sea P (MnT) = 0,3
Usando la fórmula de notación de conjuntos
P (MuT) = P (T) + P (M) - P (MnT)
Sustituir los parámetros dados
P (MuT) = 0,4 + 0,8-0,3
P (MuT) = 1,2-0,3
P (MuT) = 0,9
De ahí que la probabilidad de que una persona esté a favor de retransmitir partidos de fútbol o la existencia de canales de televisión de pago es de 0,9.
Step-by-step explanation:
I need help asap please
Answer:
its correct
Step-by-step explanation:
Answer:
I can help
Step-by-step explanation:
but i don't see the rest of the question lol
what is x5/3x + 1/3x=10+7/3x
Answer:
x=6/25 or decimal = x=-0.24
Step-by-step explanation:
R
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Landon invests $3000 into stocks. The
account has a rate of 10% and is com-
pounded annually. How much money is
in the account after 5 years? How much
interest did he earn?
If has a decimal approximation of 3.4, then is between which two integers? In your final answer, include all calculations.
Answer: It is between 3 and 4.
Step-by-step explanation:
Integers are whole numbers and its opposite, for example, -5,-4,-3,-2,-1, 0, 1,2,3,4, 5 ,....
Meaning that 3.4 is not an integer so it fall between two integers and those integers has to be positive because 3.4 is a positive number.
3.4 is slightly greater than 3 but is less than 4.
Meaning that 3.4 is between the integers 3 and 4.
can you guys help, plz i dont understand it
Answer:
21x+6
Step-by-step explanation:
Battery wholesaler produces 5200 batteries. Of those batteries produced, 8% are defective. How many batteries are defective?
40
416
650
41,600
Answer:
416
Step-by-step explanation:
Took the quiz. :<C
Andrea conducts a science experiment and observes that the height of a plant depends on the amount of sunlight it receives. The plant’s height is 37 centimeters, and it grows at a rate of 0.004 centimeter per hour of sunlight. If the number of hours of sunlight is represented by the variable s, which function can represent the height of the plant?
s(h) = 0.004h – 37
f(h) = 37h + 0.004
f(s) = 0.004s + 37
Answer:
f(h) = 0.004s + 37
Step-by-step explanation:
The correct representation of the height of the plant is;
f(h) = 0.004s + 37
Given parameters;
Height of plant = 37cm
Rate of growth = 0.004cm/hr
Number of hours of sunlight = s
To solve this problem, the height of the plant is directly dependent on the amount of sunlight;
f(h) signifies that height is a function
The height of the plant is 37cm;
f(h) = 37
The plant grows at a rate of 0.004cm/hr; number of hours of sunlight is s;
0.004s
Therefore;
f(h) = 37 + 0.004s
Answer:
f(s)=0.004s+37
Step-by-step explanation:
15-7m=-5-2m solve the equation
Approximate √60 to the nearest tenth with step by step directions please! And thanks!
Answer:
7.7 is the answer
Step-by-step explanation:
(credit to manics.info)
Step 1:
Calculate the square root of 60 to be:
√60 = 7.74596669241483
Step 2:
Reduce the tail of the answer above to two numbers after the decimal point:
7.74
Step 3:
Round 7.74 so you only have one digit after the decimal point to get the answer:
7.7
To check that the answer is correct, use your calculator to confirm that 7.72 is about 60.
Hope this help and have a great day!
i need help with geometry
Answer:
5
Step-by-step explanation:
x divided by six eqauls twentyfive
x/6=25
Answer:
x = 150Step-by-step explanation:
x / 6 = 25
x = 25 (6)
x = 150
Answer: x=150
Step-by-step explanation:
Please help me!, 40 points!
Answer:
what is the question
Step-by-step explanation:
Answer:
What is the question?
Step-by-step explanation:
Solve using the standard algorithm.
a. 0.3 + 0.82 = ____________
b. 1.03 + 0.08 = ___________
Answer:
A= 1.12
B= 1.11
Step-by-step explanation:
A. 0.82 B. 1.03
+ 0.3 + 0.08
______ _______
1.12 1.11
3x + 5y + z = 2
x + 2y + 3z = 6
2x + 4y + 2z = 9
Please help!!!!!!!!!
Answer:
bottom one
Step-by-step explanation:
You and your sister help your neighbor rake their lawn. Your sister can rake at a rate of 2
square meters per minute, and you can rake at a rate of 4 square meters per minute. You
start at the same time. After how many minutes will you rake 8 square meters more than
Your sister?
Answer:
4 minutes
Step-by-step explanation:
Min. Sister. You
1. 2. 4
2. 4. 8
3. 6. 12
4. 8. 16
What is the result when x^3+2x^2– 11x + 8 is divided by x - 1?
Answer:
result is x^2+3x-8 sorry for the photo quality
Jacob has unlocked 6 less than
twice as many game levels as
Shannon. If Jacob has unlocked 14
levels, how many levels has
Shannon unlocked?
Answer:
Shannon has unlocked 40 levels.
Step-by-step explanation:
14 + 6 = 20
20 * 2 = 40
Please answer this, i really need it its my last question
Answer:
y=-4 to 4
x=-1 to -7
Step-by-step explanation:
George is in a book club. He earns 6 points for every 9 books he reads, and he needs to earn 24 points to receive a free book. How many points does he earn per book?
Answer:
36 books
Step-by-step explanation:
9=6
6*4=24 (9*4=36)
What’s the answer please help
Answer:
The correct answer is a.
simplify this surd expression
Answer:
4√6
Step-by-step explanation:
Given: 9-4x = -19
Prove: x = 7
Answer:
Easy
Step-by-step explanation:
-19-9=-28
-28/-4=7
thus x=7
3.5 in/year=cm/day
help
Answer:
.024 cm/day
Step-by-step explanation:
what is the graph of y= -4x -1?
Answer:
The y-intercept is -1
The slope is -4 so you will go down 4 and over 1 to the right.
The line is negative
So it will be pointing Northwest and Southeast \ that way.
Step-by-step explanation:
Did you understand this??