Answer:
D) 41.81 degrees
Step-by-step explanation:
In this problem, we are given a leg length (a=12) and the hypotenuse (c=18).
We need to select which trigonometric identity to use with the acronym SOHCAHTOA:
SOH -> sine=opposite/hypotenuse
CAH -> cosine=adjacent/hypotenuse
TOA -> tangent=opposite/adjacent
Given side a is opposite of angle A and side c is the hypotenuse, we clearly need to use the sine function.
Set up an equation based on the information you have:
sin(A)=12/18
Now take the inverse:
sin^-1(sin(A))=sin^-1(12/18)
A=41.8103149
So the best option is answer D) 41.81 degrees
A toy factory makes 15 teddy bears every 10 minutes. The factory makes teddy bears for 8 hours each work day. What is the fewest number of work days the factory will need to make 5,000 teddy bears? Write an explanation to show how you determined your answer.
Answer:
hats
Step-by-step explanation:
SHOW ALL WORK!
A ticket service is selling tickets to a concert. An order of 4 tickets has a price of $63 and an order
of 6 tickets has a price of $92. Write an equation to find the price of any amount of tickets.
Answer:
y = 14.5x + 5
Step-by-step explanation:
x = Number of tickets for the concert
y = Price of the order of x tickets
y = 14.5x + 5
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Order of 4 tickets has a price of $63
Order of 6 tickets has a price of $92
2. Write an equation to find the price of any amount of tickets.
Let's find out the price of a ticket to understand if there's a service fee and how much is it, this way:
Price of a ticket = (Order of 6 tickets - Order of 4 tickets)/2
Price of a ticket = (92 - 63)/2
Price of a ticket = 29/2 = 14.50
If a ticket costs $ 14.50, 4 tickets will cost $ 58 and 6 tickets will cost $ 87, therefore there is a service or delivery fee of $ 5.
Order of 4 tickets - Price of 4 tickets = Service or delivery fee
Replacing, we have:
63 - 58 = 5
Order of 6 tickets - Price of 6 tickets = Service or delivery fee
Replacing, we have:
92 - 87 = 5
Now, we can write the equation to find the price of an order of any amount of tickets, this way:
x = Number of tickets for the concert
y = Price of the order of x tickets
y = 14.5x + 5
4. (2)
Divide $27,000 into 3 parts so that the second part is three times the first and the
third part is twice the second.
Please help!!!! (dont steal or guess)(I will give brainiest if you have proof) means Alot thank you
Answer:
I'm positive its C
Step-by-step explanation:
Based on the table of values below, find the slope between points where x = 5 and where x = 10.
Hello!
[tex]\large\boxed{m = 1}[/tex]
Use the slope formula to determine the slope between the points:
m = (y2 - y1) / (x2 - x1)
Plug in the values:
m = (7 - 2) / (10 - 5)
m = 5 / 5
m = 1
(-33/60) (-40/88)
Simplify fraction
Justify why the sum of 3a and
2b cannot be represented as 5ab.
Answer:
You cannot add two numbers that have different variables.
Step-by-step explanation:
You can multiply them, but since 3 is multiplied by "a" or a different number than "b" then the answer would be incorrect.
Answer:
because 3a and 3b have different variables. You can't add "unlike terms" to each other because the variables have different values. by writing 3a+2b as 5ab, you're completely changing the meaning of the problem. You would get a totally different answer than you would by just adding the two terms together.
3х — 7y = 21
6x = 14y + 42
Solve each system of equations using elimination (⚠️ I will give you brainliest if you answer correctly!‼️⚠️)
PLEASE HELPPPPPP. I NEED IT DONEEEEE.
Answer:
1. Couples tickets: $8
Individual tickets: $4
2. Song download cost: $2
Movie download cost: $15
Step-by-step explanation:
You can solve both of these questions by doing system of equations.
Let's start with question 1.
There are 2 variables in this equation:
- Couples tickets price: let's represent these with the letter C
- Individual tickets price: let's represent these with the letter K
Writing the two equations would look this these:
5c + 2k = 48
3c + 2k = 32
Next, isolate a variable. I am going to isolate K in the first equation.
[tex]2k = -5c + 48 \\k = -\frac{5}{2}c + 24[/tex]
Now that we isolated a variable we can plug that back in to the second equation:
[tex]3c + 2(-\frac{5}{2}c + 24) = 32\\3c - \frac{10}{2}c + 48 = 32\\3c -5c + 48 = 32\\-2c + 48 = 32\\-2c = -16\\c = 8[/tex]
We found that c is equal to 8 so we can put that back in to an equation to solve for k.
5(8) + 2k = 48
40 + 2k = 48
2k = 8
k = 4
Therefore, the price for couples tickets is $8 and the price for individual tickets is $4.
Check #1:
5(8) + 2(4) = 48
40 + 8 = 48
48 = 48
3(8) + 2(4) = 32
24 + 8 = 32
32 + 32
Now, let's go on to question 2.
There are 2 variables in this equation:
- Price of songs downloaded: let's represent these with S
- Price of movies downloaded: let's represent these with M
Writing the two equations would look like this:
15s + 11m = 195
15s + 8m = 150
There is a simple way to answer this system, however.
If you change the bottom equations signs to negative you can minus the second equation from the first equation like this:
15s + 11m = 195
-(15s +8m = 150)
Minus them to get this equation:
3m = 45
Solve
m = 15
We have found that each movie download costs $15, now let's plug this back into an equation:
15s + 11(15) = 195
15s + 165 = 195
15s = 30
s = 2
Each song costs $2 to download.
Check #2:
15(2) + 11(15) = 195
30 + 165 = 195
195 = 195
15(2) + 8(15) = 150
30 + 120 = 150
150 = 150
I hope this helps!!
- Kay :)
Use these properties to rewrite 7/4 + 1/2 + 5/3 + 1/3 + 1/4 + 1/2 in a way that makes the addition easier. Explain how your changes simplify the addition
The addition of the 7 / 4 + 1 / 2 + 5 / 3 + 1 / 3 + 1 / 4 + 1 / 2 is 5.
What is fraction?A fraction represents a portion of a total. This entire may refer to a place or a group of places. The Latin word "fraction," which means "to break," is the source of the English term "fraction."
The distribution of food and supplies as well as the lack of a metal currency were among the mathematical issues that the Egyptians utilized fractions to solve because they were the first civilization to understand fractions.
Given:
7 / 4 + 1 / 2 + 5 / 3 + 1 / 3 + 1 / 4 + 1 / 2
Rearrange the number as shown below,
7 / 4 + 1 / 4 + 1 / 2 + 1 / 2 + 5 / 3 + 1 / 3
Add the like terms as shown below,
(7 + 1) / 4 + (1 + 1) / 2 + (5 + 1) / 3
8 / 4 + 2 / 2 + 6 / 3
Divide the terms as shown below,
2 + 1 + 2
5
Thus, the addition is 5.
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Graph the line 4x+y= 8
f(x) = 2x³ + 7x² - 4x - 5
g(x) = 3x - 2
Find (f - g)(x).
The value of (f-g)(x) is 2x³ + 7x²-7x-3.
As we know that, the composition of functions is the criteria of combining two or more functions into a single function. A function represents some work. The combination of two or more function always results in a new function.
Given that, f(x) = 2x³ + 7x² - 4x - 5 and g(x) = 3x - 2 and we have to calculate the value of (f - g)(x).
Suppose h(x) = (f - g)(x)
Now, we simply have to solve (f - g)(x), let's proceed to solve
= (f - g)(x)
= f(x)-g(x)
= 2x³ + 7x² - 4x - 5-(3x-2)
= 2x³ + 7x² - 4x - 5-3x+2
= 2x³ + 7x²-7x-3
h(x) = (f - g)(x) = 2x³ + 7x²-7x-3
∴ (f - g)(x) = 2x³ + 7x²-7x-3
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Mai earns $7 per hour mowing her neighbor’s lawns. She also earned $14 for hauling away bags of recyclables for some neighbors. Priya babysits her neighbor’s children. She earns $8.40 per hour. Priya and Mai have agreed to go to the movies the weekend after they have earned the same amount of money for the same number of hours. How many hours do they have to work before they can go to the movies? How much will they have earned.
Answer:
5 hours for priya 4 of yard mowing and 1 bag moving and they will both earn 42 dollars
Step-by-step explanation:
Questlon 10 of 10
In the diagram below, DË is parallel to. What is the value of y?
105
OA. 85
O B. 105
OC. 125
OD. 75
1. Distance in space is often written using a light year. A light year is the distance light travels in
one year. It is equal to about 6,000,000,000,000 miles. Write this measurement in scientific
notation.
A. 6 x 10¹0 miles
B. 6 x 10¹1 miles
C. 6 x 10¹2 miles
D. 6 x 10¹3 miles
If the distance in space is often written using a light year and a light year is the distance light travels in one year. It is equal to about 6,000,000, 0 0 0, 0 0 0 miles. This measurement in scientific notation is: C. 6 x 10¹2 miles.
Scientific notationGiven:
Measurement = 6,000,000,000,000 miles
Since the given measurement in mile is 6 trillion, now let convert the measurement in mile to scientific notation.
6 trillion = 6,000,000,000,000 miles
Hence,
6,000,000,000,000 miles = 6 × 10^12
Therefore the correct option is C.
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Divide the fractions:
5/8 divided by 1/24 =
Answer:
The answer to this question is 15.
Step-by-step explanation:
We know that dividing a fraction by another fraction is the same as multiplying a fraction by the other fractions reciprocal, where the numerator and denominator are switched.
5/8 ÷ 1/24 =
5/8 x 24/1 =
120/8
120 ÷ 8 = 15.
Hence, the answer to this question is 15.
Hope this helps! :D
Final Answer:
15
Step-by-step explanation:
5/8 ÷ 1/24
5/8 ÷ 24/1
5/8 × 24/1 = 120/8
120/8 ⇒ 15/1 ⇒ 15
The formula to convert from Celsius to Fahrenheit is
F=95C+32 . Use this formula to complete the statements below. Round your answers to the nearest tenth as needed.
If the temperature is 78 degrees Fahrenheit , that is equivalent to
degrees Celsius.
If the temperature is 41 degrees Celsius, that is equivalent to
degrees Fahrenheit.
The temperature in Celsius will be 25.5556 °C and he temperature in degree Fahrenheit will be 105.8 °F, respectively.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given the function to convert temperature from Celsius to Fahrenheit is F=(9/5)C+32.
A.) Given that If the temperature is 78 degrees Fahrenheit. Therefore, the temperature in degree Celsius will be,
F = (9/5)C + 32
78 = (9/5)C + 32
78 - 32 = (9/5)C
46 = (9/5)C
C = (46 × 5)/9
C = 25.5556
Hence, the temperature in Celsius will be 25.5556 °C.
B.) Given that the temperature is 41 degrees Celsius. Therefore, the temperature in degree Celsius will be,
F = (9/5)C + 32
F = (9/5)41 + 32
F = 73.8 + 32
F = 105.8
Hence, the temperature in degree Fahrenheit will be 105.8 °F.
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Please answer the question following the instructions
9514 1404 393
Answer:
a. n² +10n +25 = 0
b. 0
c. 1 real solution
Step-by-step explanation:
a. Add 25 to put the equation in standard form.
n² +10n +25 = 0
__
b. The discriminant is d = b²-4ac.
d = 10² -4(1)(25) = 0
The discriminant is 0.
__
c. A discriminant of 0 means there is 1 real solution.
If $8000 is invested at 5% compounded quarterly , what is the amount after 6 years?
PLZ HELP ME WITH THIS!?!?! I WILL MARK BRAINLIEST!!!
Answer:
a: 1/7 +2/7
b:1/7 +1/7+1/7
PLEASE HELP FOR ALGEBRA I’M FAILING :(
On a coordinate plane, a line is drawn from point J to point K. Point J is at (1, negative 10) and point K is at point (7, 2). What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 –8 –5 0 6
Answer:
5
Step-by-step explanation:
lol
Answer:
the answer is c 0
Step-by-step explanation:
2 Thessalonians 3:16
Now may the Lord of peace himself give you peace at all times and in every way. The Lord be with all of you.
jesus loves you!!!
The graph below shows the solution to a system of inequalities: Solid line joining ordered pairs 0, 3.75 and 15, 0. Shade the portion of the graph above the line in the first and second quadrant Which of the following inequalities is modeled by the graph? (5 points) Group of answer choices x + 4y ≥ 15; y ≥ 0 x − 4y ≥ 15; y ≥ 0 x + 4y ≤ 15; y ≥ 0 −x − 4y ≥ 15; y ≥ 0
Answer:
x + 4y ≥ 15; y ≥ 0
Step-by-step explanation:
The solid line signifies it is a ≤ or ≥.
The equation of the line joining 0, 3.75 and 15, 0 is gotten using the formula:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\\\Substituting:\\\\y-3.75=\frac{0-3.75}{15-0}(x-0)\\\\ y-3.75=-\frac{1}{4}x\\\\y=-\frac{1}{4}x+3.75\\\\4y=-x+15\\\\4y+x=15[/tex]
Since the first and second quadrant are shaded, this represents y ≥ 0.
Also, above the solid line of 4y + x = 15 is shaded, this represents 4y + x ≥ 15.
Hence the inequality modeled is x + 4y ≥ 15; y ≥ 0
Answer: He right
Step-by-step explanation:
1. how can we get equation B from A
A. 4x+2=6-x
B. 5x+2=6
Answer:
since equation a has -x on one side just add x to both sides to get rid of the -x and since you do it to both sides you maintain balance
Step-by-step explanation:
Answer:
4x+x=6-2
5x=6-2
5x+2=6
Step-by-step explanation:
Given mn, find the value of x.
Please help me
Answer:
126°
Step-by-step explanation:
A line is equal to 180°
to find x you would subtract 180° - 54°
The answer is 126°
My work is in the picture below
I hope it helped!
Have a nice day!
In the figure, the angle x° is an alternate angle with angle 54° so the measure of angle x° is 54°.
We have,
From the figure,
Line m and line n are parallel.
Line t is the transversal line.
Now,
Alternate angles are a pair of angles that are formed when a transversal (a line that crosses two other lines) intersects two parallel lines.
When this happens, the alternate angles are on opposite sides of the transversal and are congruent, which means they have the same measure.
Angle 54° and angle x° are alternate angles.
Alternate angles are equal.
So,
x° = 54°
Thus,
The measure of angle x° in the figure is 54°.
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What number is represented by point A?
Answer:
Third choice, 3/4
Step-by-step explanation:
There's 3 lines in the middle before it's the number 1, if u count 1 into the lines then there's 4, 1 divided by 4 is 0.25 or 1/4, so each small line is going up or down by 1/4. So it's 0 -> 1/4 -> 2/4 -> 3/4 which is A -> 4/4 which is 1
So A is 3/4
tony earns $100 for walking 5 dogs. how much would he earn for each dog
Answer:
500
Step-by-step explanation:
Answer:
20$
Step-by-step explanation:
because 20*5 =100 which 20 times 5 is the same thing as adding 20+20
+20+20+20 witch is 20$ per dog he walks. hope this helps!
PLEASE HELP ASAP!!!!
Sue is a waitress in a restaurant. She started the day with $20 in her pocket, and she earns an average of $5 for each table that she waits on. Which of the following graphs represents the money that Sue has in her pocket after waiting on x tables?
the last one
Hope this helps! :3
plz mark as brainliest!
Maths help 15 points for correct answer
Solve for b. d = abc