The sine of an acute angle is less than one because it is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse in a right triangle. Since the side opposite the angle is shorter than the hypotenuse, the ratio is always less than one.
To what does sin equate?
In contrast to the cosine of an angle, which corresponds to the ratio of the nearby side to the hypotenuse, the sine of an angle is the ratio of the opposite side to the hypotenuse.
It's also the same reason why the cosine of an acute angle is always less than one because it is the ratio of the adjacent side of the angle to the hypotenuse.
It's important to note that this is only true for acute angles, angles smaller than 90 degrees.
For obtuse angles, greater than 90 degrees, the sine and cosine values are greater than one.
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An ice cream factory makes 310 quarts of ice cream in 10 hours how many quarts could be made in 48 hours what was the ate per day
The factory can make 744 quarts of ice cream per day.
To find out how many quarts of ice cream could be made in 48 hours, we can use the principle of proportionality. Since the factory makes 310 quarts of ice cream in 10 hours, we can set up a proportion:
310 quarts / 10 hours = x quarts / 48 hours
To solve for x, we can cross multiply:
310 quarts * 48 hours = 10 hours * x quarts
x = (310 quarts * 48 hours) / 10 hours = 1480 quarts
So the factory could make 1480 quarts of ice cream in 48 hours.
To find the rate per day, we need to divide the number of quarts made per hour by the number of hours in a day. Since there are 24 hours in a day, we can calculate the rate per day as:
rate per day = (310 quarts / 10 hours) * 24 hours = (31 quarts/hour) * 24 hours = 744 quarts/day
So the factory can make 744 quarts of ice cream per day.
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Mrs. Harris took 6 oranges out of the refrigerator and cut them into wedges, each wedge represents 1/6 of the entire orange. Her children at 3/4 of the wedges.
A) how many wedges did her children eat
B) how many wedges are left?
Please help! Will give brainiest to correct person!! No links please!
Answer:
39 inch
Step-by-step explanation:
Answer:
H=39.0625
Step-by-step explanation:
D=32in
R=1/2d=32/2=16
Volume of cylinder:pi r^2h
V=pir^2h
10000pi=16^2hpi
256h=10000
h=39.0625
What are the 3 steps for solving a quadratic equation?
Determine what a, b, and c are worth. the quadratic formula in writing. After that, enter the values for a, b, and c. Simplify.
what is quadratic equation ?A quadratic polynomial in a single variable is represented by the expression x ax2+bx+c=0, which is a quadratic equation. a 0. Since it is a second order polynomial, the Fundamental Theorem of Algebra guarantees that it has at least one solution. Simple or difficult solutions are both possible. The term "quadratic equation" refers to an equation that is quadratic. It must square at least one word, according to this indication. One of the common solutions for quadratic equations is the formula "ax2 + bx + c = 0." where the variables "X" are undefined and are numerical coefficients or constants a, b, and c.
given
steps are
Find out what a, b, and c are worth.
Quadratic formula: write it down.
Add the values of a, b, and c after that. Simplify.
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Molly bought a large basket of 60 apples.
When she got home, she found 4 rotten
ones. If she goes back and buys 200 more
apples, how many rotten apples would she
expect there to be?
Group of answer choices
20
24
13
8
Step-by-step explanation:
1. 60 apples
2. 60-4=56
3. 56+200=256
200/60
60/4
60+60=120
120+60=180
I think either 13.
Rewrite 7[tex]x^{\frac{1}{2}[/tex] as a radical expression
Sara had 222 dollars to spend on 9 books after buying then she had 15 dollars how much did each book cost
Answer:
each book cost=222-15=207/9=22.88 dollar
Frank earns an annual salary of $42,800. He pays 8% in total taxes. How much money will Frank pay in taxes each year?
Answer:
$3424
Step-by-step explanation:
42800 x .08
.08 = 8%
Marshall has $8.25 totally in his collection, consisting of quarters and nickels. The number of nickels is three more than the number of quarters. How many nickels and how
many quarters does Ross have?

Answer:
where did Ross come from? is that just misplaced or what. or am I reading it all wrong
t(28 – 8) = 24(28 – 8)
- 24 1)
Answer:
24(24)
Step-by-step explanation:
[tex] \rm \mapsto \: t(28 - 8) = 24(28 - 8) \\ \rm \mapsto \: t(24) = 24(24) \\ \rm \mapsto \: 24t = 576 \\ \rm \mapsto \: t = \frac{576}{24} \\ \rm \mapsto \: t = 24[/tex]
The solution to the equations are
a) The quantity ( 28 - 8 ) represents the discounted price of the tickets
b) The total cost of the 24 tickets is given by the equation A = $ 480
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of 24 tickets be represented as A
Now , the equation will be
The initial cost of a ticket = $ 28
The discounted cost of the ticket = $ 8
So , the final cost of the ticket = $ 28 - $ 8 = $ 20
Now , the cost of t tickets = 20t
So , when the value of t = 24
Substitute the value of t in the equation , we get
The cost of 24 tickets A = 20 ( 24 )
On simplifying the equation , we get
The cost of 24 tickets A = $ 480
Therefore , the value of A is $ 480
Hence , the equation is A = $ 480
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Substitution method.
y=x - 5
y —3х – у = -3
Answer : ( 1, - 4 )
Explanation : y=x - 5
y —3х – у = -3
Step 1 : Consider the first eqaution. Subtract X from both sides.
y - x = -5
Step 2 : Consider the second eqaution. Combine y and -y to get 0 .
-3x = -3
Step 3 : Divide both sides by -3
x = -3 / -3
Step 4 : Divide -3 by -3 to get 1
x = 1
Step 5 : Consider the first eqaution. Insert the known values of variables into the equation.
y - 1 = -5
Step 6 : Add one to both sides.
y = -5 + 1
Step 7 : Add negative 5 and one to get negative 4 .
y = -4
Therefore, the answer is ( 1, - 4 )
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A circle has a circumference of 10 millimeters. What is the circle's diameter? Use 3.14 for pi and round your answer to the nearest tenth.
Answer:
To find the diameter divide the circumference by pi
10÷3.14
=3.2 mm
need help with this
Answer:
im sorry what exsactly is the question?
Step-by-step explanation:
60 workers can complete a work in 21 days. How long will it take to complete the some work if 10 more workers were added?
Answer:
Step-by-step explanation:
set 1 is the work, then 60 works finish 1/21 per day. [tex]\frac{1}{21*60}[/tex] is the work for per workers. so, the days for 70 workers is [tex]\frac{21*60}{70}=18[/tex] days.
it will spend 18 days to complete
Monty is working on a formula to determine the amount of profit (P) he will make when he sells his pottery. He has already spent $50 on materials and plans to sell each pot for $5. If x represents the number of pots he sells, which formula represents Monty's profit from his sales?
Answer:
P=5x-50
Step-by-step explanation:
Profit is represented by P.
$5 is what Monty plans to sell each pot for and x represents how many pots he sells.
therefore 5x-50=P
Martin will earn $20 per hour at a new job. During training, he will earn $15 per hour. What percent of Martin’s regular hourly rate will he earn during training?
Answer:
5
Step-by-step explanation:
Jelani has twice as much money on his subway pass as Alexis. If they both add $20 to their passes, Jelani will have 1.5 times as much on his pass as Alexis. Write an equation to represent this situation. How much do Jelani and Alexis have on their subway passes now?
Answer:
x = 2x
x + 20 = 2x + 20
And,
1.5(x + 20) = 2x + 20
x = 20 i.e. Alexis
And, Jelani be 40
Step-by-step explanation:
Given that
Jelani has twice as much as Alexis
And, both can added $20
Jelani will have 1.5 times as much on his pass on Alexis
We need to write an equation also the amount does Jelani and Alexis have
So,
Let us assume the alexis be x
And, Jelani be 2x
Now
x = 2x
x + 20 = 2x + 20
And,
1.5(x + 20) = 2x + 20
1.5x + 30 = 2x + 20
-0.5x = -10
x = 20 i.e. Alexis
And, Jelani be 40
The picture shows a shed. Find the length, AB, of the roof.
The length AB of the roof is 3.20 m.
What is the Pythagorean theorem.
The Pythagorean theorem is one that can be used to determine the value of the unknown side of a right triangle when given two of its sides.
The theorem states that;
/Hyp/^2 = /Adj/^2 + /Opp/^2
Considering the given picture of the shed, draw a perpendicular to B from a point C on parallel line A. So that the length of AB can be referred to as the hypotenuse of triangle ABC.
Now applying the Pythagorean theorem, we have;
/Hyp/^2 = /Adj/^2 + /Opp/^2
/AB/^2 = /2/^2 + /2.5/^2
= 4 + 6.25
/AB/^2 = 10.25
AB = (10.25)^ 1/2
AB = 3.20
Thus, the length of AB of the roof is 3.20 m.
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A solution set always includes...
A. all the numbers that make the inequality false.
B. all the numbers that make the inequality true.
C. zero and infinity.
D. negative infinity.
Answer:
A
Step-by-step explanation:
i got the same answer and got ir right
I need to know the andwer to 0.03 divided by 0.81 in division of decimals
Answer: 0.0370 (Italic part repeats forever)
Step-by-step explanation:
Answer: 0.037...
Step-by-step explanation:
temperature of an oven in a laboratory rises until it reaches a maximum temperature of 32°C. The oven then stops heating and reactivates only when the temperature goes down to a minimum of 18°C. At 12:00 pm, the oven starts at room temperature, which is 18°C, and takes 3 hours to reach 32°C Write a function in the form 0(t)= Acos(bt)+c, that represents the temperature of the oven, O. in terms of the number of hours, t, since 12:00pm. Then, sketch the function on the provided grid for one full cycle. Be sure to scale your axes trig.
Answer:
123456789123345
Step-by-step explanation:
A bag of
.5 red marbles
.6 blue marbles
.3 green marbles
.4 black marbles
.2 yellow marbles
A marble will be drawn from the bag and replaced 100 times how many green and black marbles will be drawn?
The number of green and black marbles will be 15 and 20 black marbles respectively.
How to illustrate the probability?Probability simply means the chance that a particular thing or event will happen. It is the occurence of likely events. It is simply the area of mathematics that deals with the numerical estimates of the chance that an event will occur or that a particular statement is true.
We have the following information:
5 red marbles
6 blue marbles
3 green marbles
4 black marbles
2 yellow marbles
Total marble = 20 marbles
The number of green marbles:
= 3/20 × 100
= 15
The black marbles will be:
= 4/20 × 100
= 20
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Which point represents the approximate location of 388 squared
Answer:
Point D
[tex] \sqrt{388} = 19.7 \\ between \: 19 \: and \: 20[/tex]
Caculate the total amount from a simple interest account
Principal $300
interest rate 7%
Time 2
Answer:
$42.00
Step-by-step explanation:
Interest = principle x rate x time
Interest = 300 x .07 x 2
Interest = 42
Jamila deposits $800 in an account that earns yearly simple interest at a rate of 2.65%. How much money is in the account after 3 years and 9 months?
Answer:
$821.2
Step-by-step explanation:
cause 2.65 percentage of 800 dollars is 800/100=8*2.65=21.2dollars.+800 =$821.2
Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.
Answer:
C) {6+√43, 6-√43}
Step-by-step explanation:
Applying,
x = [-b±√(b²-4ac)]/2a.................... Equation 1
From the question,
Given: a = 1, b = -12, c = 7
Substitute these values into equation 1
x = [-(-12)±√(-12²+4×1×7)]/2×1
x = [12±√(144+28)]/2
x = [12±√172]/2
either,
x = (12-√172)/2
x = (12-2√43)2
x = (6+√43)
or
x = (12+√172)/2
x = (12+2√43)/2
x = (6+√43)
Hence,
The right answer is C). {6+√43, 6-√43}
How do you multiply FG?
FG cannot be multiplied because it is not a numerical value.
Multiplication is a mathematical operation that involves multiplying two numerical values together to produce a single numerical result. In order for multiplication to be possible, both values must be numerical values. FG is not a numerical value, which means that it cannot be multiplied. In order for FG to be multiplied, it would need to be replaced with a numerical value, such as a number or an expression that can be evaluated to a number. Without a numerical value, multiplication is not possible. Multiplying numerical values is done by taking the product of the two values, meaning that the result of the multiplication is the sum of each value multiplied by itself the number of times the other value is. For example, if you were to multiply 3 and 4, the result would be 12 because 3 multiplied by itself 4 times is 12, and 4 multiplied by itself 3 times is also 12. Without numerical values, this operation cannot be performed.
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Clara baked a sheet cake with a length of 0.5 meters. She covered the cake in small 1 frosting polka dots that are the length of the cake. What is the approximate 100 length of a polka dot, in meters?
Answer:
kkuguftfhbnkmom ugvtvtv uvbuub
Solve the following equation for mathwatch
3x-1/2= x+5/5
0.75 i think
Isolate the variable by dividing each side by factors that don't contain the variable.
Exact Form:
x=34x=34
Decimal Form:
0.75
What is the domain and range of √ X 2?
The domain of √ X 2 is X ≥ 4. The range is all real numbers.
Here is the proof, In order for the square root to be defined, the radicand (the value inside the square root symbol) must be greater than or equal to zero. In this case, the radicand is X - 2, so we must have X - 2 ≥ 0, which is equivalent to X ≥ 4. Therefore, the domain of √ X - 2 is all values of X that are greater than or equal to 4. The range of √ X - 2 is all real numbers because the square root of any non-negative value is a real number.
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