Answer:
x = π n + cot^(-1)(22/29) for n element Z
Step-by-step explanation:
Solve for x:
cos(x) = (22 sin(x))/29
Divide both sides by sin(x):
cot(x) = 22/29
Take the inverse cotangent of both sides:
Answer: x = π n + cot^(-1)(22/29) for n element Z
PLEASE HELP :( A wood burning oven in a diner can burn for 16 hours on 3 packs of wood. The cost of one pack of wood= $4.60. Which is the closest to the cost per hour to run the oven?
A: $0.50
B: $1
C: $2
D: $5
Answer:
B
Step-by-step explanation:
16 / 3 = 5.3
5.3 hours = $4.60
5.3 / ? = 1 ? = 5.3
4.60 / 5.3 = 0.90
$0.90 is the closest to $1
Sarah Dirk and Dusty went for a walk one walked 2 1/6 miles one walked 9/4 miles and the other walked 25/12 miles. if Sarah walked released and Dirk walked the most how far did Dusty walk?
Answer:
To solve this problem, we need to first convert all of the distances to a common denominator so that we can compare them. We can do this by multiplying each fraction by a suitable value to obtain a fraction with a common denominator.
For example, to compare 2 1/6 miles to 9/4 miles, we can multiply the first fraction by 4/4 and the second fraction by 6/6 to obtain the following:
2 1/6 miles = (24 + 14)/(64) = 8/24 miles
9/4 miles = (96)/(4*6) = 27/24 miles
We can do the same thing to compare 25/12 miles to the other two fractions:
25/12 miles = (252)/(122) = 50/24 miles
Now that all of the fractions have a common denominator, we can easily compare them and determine that Dirk walked the most, at a distance of 50/24 miles. Therefore, Dusty must have walked the least distance, which is 8/24 miles.
So the answer is that Dusty walked 8/24 miles.
Step-by-step explanation:
Answer:
nice
Step-by-step explanation:
William just won a king sized snickers bar at the county fair. It is 16 inches by 3 inches.
What is the area of the king sized snickers bar?
Answer: 48 inches
Step-by-step explanation:
16x3=48 inches
Answer: 48
Step-by-step explanation: 16 times 3 =48
x-2y=3, x^2-2y=3, x^2-2xy+4y^2=11, find the value of x^2y-2xy^2
This is a system of three equations with two unknowns, x and y. To solve it, we can use the method of elimination. First, we can eliminate y by subtracting the first equation from the second equation:
x^2-2y=3 - (x-2y=3) => x^2-x=0
Then we can factor the resulting equation and find the values of x:
x^2-x=0 => x(x-1)=0 => x=0 or x=1
Next, we can substitute these values of x into any of the original equations and find the corresponding values of y. For example, using the first equation:
x-2y=3 => 0-2y=3 => y=-3/2 when x=0 x-2y=3 => 1-2y=3 => y=-1 when x=1
Finally, we can substitute these values of x and y into the expression x2y-2xy2 and evaluate it:
x2y-2xy2 => 02(-3/2)-2(0)(-3/2)2 => 0 when x=0 and y=-3/2 x2y-2xy2 => 12(-1)-2(1)(-1)2 => -3 when x=1 and y=-1
Therefore, the value of x2y-2xy2 can be either 0 or -3 depending on the values of x and y.
i need help for my little sister
Good evening,
Answer: (8;6)
Answer:(8,6)
Step-by-step explanation: "X" always comes first, so in the case of getting to A, you would want to count to the right eight times and six times up. If that makes sense
At the zoo, for every 666 adult camels, there are 555 baby camels. There are a total of 444444 adult and baby camels at the zoo.
Complete the table.
Original ratio Number in the zoo
Baby camels 555
Adult camels 666
Total camels
444444
Answer:
1 adult camel for every 11 baby camels, or 1:11
draw a number line to represent the inequality y less than 3
Answer:
You mean like this?
Step-by-step explanation:
The blue line
help pls due sunday (unhelpful answers will be reported)
This is really hard to explain how to do in words, so I will give you physical movements to perform.
For the first one, draw the graph, then rotate the paper. Redraw the graph on another paper, but draw the triangle where it is on the rotated paper.
For the second, draw the graph, then flip the paper. Place the paper on a light source and trace it on the back.
These strategies are much easier than actually mathing through it, and take much less energy and time.
Answer:
Step-by-step explanation:
This is the graph of a polygon. What is the approximate perimeter of the polygon?
A:18.3 units
B:20.5 units
C:24.3 units
D:28.5 units
NO LINKS OR IMPROPER ANSWERS
write an equation 331 students went on a Field trip's buses were filled and 7 students traveled in cars. How many students were in Each bus
Answer:
Step-by-step explanation:
i belief it is a subtraction problem so the answer should be 324
Answer:
52
Step-by-step explanation:
6x=331−7
Then 6x=324
After that you find out that x= 324/6 equals 52
Use complete sentences to describe why √-1 ≠ -√1
Well let's say that to compare these two numbers, we have to start with the definition first.
Definition
\( \displaystyle \large{ {y}^{2} = x} \\ \displaystyle \large{ y = \pm \sqrt{x} }\)
Looks like we can use any x-values right? Nope.
The value of x only applies to any positive real numbers for one reason.
As we know, any numbers time itself will result in positive. No matter the negative or positive.
Definition II
\( \displaystyle \large{ {a}^{2} = a \times a = |b| }\)
Where b is the result from a×a. Let's see an example.
Examples
\( \displaystyle \large{ {2}^{2} = 2 \times 2 = 4} \\ \displaystyle \large{ {( - 2)}^{2} = ( - 2) \times ( - 2) = | - 4| = 4}\)
So basically, their counterpart or opposite still gives same value.
Then you may have a question, where does √-1 come from?
It comes from this equation:
\( \displaystyle \large{ {y}^{2} = - 1}\)
When we solve the quadratic equation in this like form, we square both sides to get rid of the square.
\( \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{ - 1} }\)
Then where does plus-minus come from? It comes from one of Absolute Value propety.
Absolute Value Property I
\( \displaystyle \large{ \sqrt{ {x}^{2} } = |x| }\)
Solving absolute value always gives the plus-minus. Therefore...
\( \displaystyle \large{ y = \pm \sqrt{ - 1} }\)
Then we have the square root of -1 in negative and positive. But something is not right.
As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.
Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.
Then we have another number which is -√1. This one is simple.
It is one of the solution from the equation y^2 = 1.
\( \displaystyle \large{ {y}^{2} = 1} \\ \displaystyle \large{ \sqrt{ {y}^{2} } = \sqrt{1} } \\ \displaystyle \large{ y = \pm \sqrt{1} }\)
We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.
Conclusion
So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.
Answer:
Therefore \(\sqrt{1} \neq -\sqrt{1}\)
Step-by-step explanation:
\(\sqrt{-1} \\\) cannot be calculated as no two identical numbers that are multiplid could give -1. However - \(\sqrt{1}\) means -1 x \(\sqrt{1}\) = -1 x 1 = -1 . Therefore \(\sqrt{1} \neq -\sqrt{1}\)
In a forest, it rained 36 out of 90 days. What is a decimal equivalent of 36 out of 90?
Answer:
0.4
Step-by-step explanation:
36/90 = 40%
in decimal format that would be 0.4
Answer:
0.4
Step-by-step explanation:
A triangle has sides with lengths 5, 6, and 7. Is the triangle right, acute, or obtuse? Question 2 options: A) Obtuse B) Right C) Can't be determined D) Acute
Answer:
D: Acute triangle
Step-by-step explanation:
First check whether this could be a right triangle. Using the Pythagorean Theorem, we get:
5^2 + 6^2 = ? = 7^2 This equation is not true, and therefore the triangle is not a right triangle.
The side lengths 5, 6 and 7 are very close to one another, and so the triangle must have essentially similar interior angles, which means that all three angles are acute. Answer D is correct: This is an acute triangle.
Answer: D) Acute
Step-by-step explanation:
pls help me with this math question.
question is below
Answer:
6x + 13= 19x
Step-by-step explanation:
purple wolf
helps
Find each value. (1.2) to the power of 3, (1/4) to the power of 4, (2) to the power of 6, 2 to the power of 6.
Answer:
1.728
Step-by-step explanation:
1.2^3 = 12^3/10^3
12^3/10^3 = 1728/1000
1728/1000 = 1.728
Susan deposited $275 in a savings account that earns simple interest at a rate of 4.5%. She made no additional deposits and no withdrawals. When Susan closed the account, she had earned a total of $148.50 in interest. How long was the account open?
Answer: 12 years
Step-by-step explanation:
Answer:
12 Year.
Hope this helps
Step-by-step explanation:
When we perform rigid transformations on parallel lines, what do we know about their image? Does the distance between the lines change?
Answer:
The distance between each line does not change.
Explanation:
Because you are just transforming it. It's not like you are changing the shape at all, you are just moving it to a different area on the grid. You can transform it over the x-axis, or you could transform it over the y-axis. It doesn't matter. Hope that answered your question.
Answer: the length between every line wouldn't´ change
Step-by-step explanation:
A rigid transformation changes the location of a shape without changing the size of the shape. There are three basic rigid transformations: reflections, rotations, and translations.
The weights of 3 puppies at one week old were 6.5 ounces, 7.3 ounces, and 6.4 ounces. If each puppy gained 2.1 ounces, how much would the puppies weigh?
Select all that apply.
To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion Which of the following proportions are correct?
12.5 cm/1 cm = 140mm/x
10mm/1 cm = 140mm/x
1 cm/10 mm = 12.5 cm/x
10 mm/1 cm= x/140 mm
Answer:
c
Step-by-step explanation:
If we need to convert 12.25cm to mm we know
that 1cm =10mm so we need to find out how many
mm are in 12.25cm and let 12.5 cm =x
mark me as brainlist!
Answer:
C is your answer
Step-by-step explanation:
Sorry if i'm wrong
could someone help me
Answer:
70°
Step-by-step explanation:
180°-(2×55°)=70° a plane line is always 180°
Someone please help me with this
Answer:
y = -6x - 8
Step-by-step explanation:
The slope(m) is -6 (rises 6, runs 1 -> 6/1, but negative because this is a negative line) and the y-intercept(b) is at -8.
I need help with my ups check...
2+2x2-2+2 divided by 2x2-2+2+2+2
Answer:
2+2x2-2+2=6
2x2-2+2+2+2=8
6+8=14
Answer:
10
2+2x2-2+2=6. 2x2-2+2+2+2=8
=14
Linn evaluated (40.2)(1/8) + (2.1)(-56?5) and said the answer was 18.495 is Linn's answer reasonable? estimate using compatible numbers.
Answer:
no it is not
-112.575
Step-by-step explanation:
whats the surface area?
Answer:
1108 in²
Step-by-step explanation:
You want the total surface area of the pentagonal prism shown.
Base areaThe area of each of the two pentagonal bases is the sum of the area of the yellow rectangle and the area of the triangle above it. That sum is ...
A = LW +1/2bh
A = 5(12) +1/2(12)(9) = 12(5 +9/2) = 114 . . . . square inches
Lateral areaThe lateral area of the prism is the sum of the areas of the 5 rectangles. That sum will be the product of the perimeter of the pentagonal base and the distance between bases.
LA = (12 +5 +11 +11 +5)(20) = (44)(20) = 880 . . . . square inches
Total areaThe total surface area of the figure is the sum of the two base areas and the lateral area:
SA = 2(114 in²) +880 in² = 1108 in²
The surface area of the composite figure is 1108 in².
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Write and solve a real-world problem involving a percent of increase with decimals.
Please help and thank you in advance! =)
Step-by-step explanation:
Here's a real-world problem involving a percent increase with decimals:
Suppose you have a savings account with a balance of $500. The bank offers an interest rate of 2.5% per year. How much will your balance increase after one year, including the interest earned?
To solve this problem, we can use the formula for percent increase:
Percent increase = (new value - old value) / old value x 100%
Let x be the amount of interest earned after one year. Then, the new value of the savings account after one year is:
New value = old value + interest earned
New value = $500 + x
The percent increase is given as 2.5%, which can be written as a decimal as 0.025. Using the formula above, we can write:
0.025 = (New value - $500) / $500 x 100%
Simplifying this equation, we get:
New value - $500 = $500 x 0.025
New value - $500 = $12.50
New value = $512.50
Therefore, the balance of the savings account will increase by $12.50 after one year, which represents a 2.5% increase from the original balance of $500. The new balance will be $512.50.
the profit a shoe store maker for selling x pairs of of sneakers can be represented by the function p(x) = 12x. If a store makes a profit of $540 for selling 45 pairs of sneakers, which of the following is true?
- P (540)=45
_ P (45)=540
_p(12)=1
P(45)=12
Answer:
im very dumb sorry :(
Step-by-step explain
:'(
There are four trees in the corners of a square backyard with 30-ft sides. What is the distance between tree A and tree P to the nearest tenth?
A.30.0 ft
B.42.4 ft
C.42.3 ft
D.30.3 ft
Answer:
Step-by-step explanation:
A scuba diver is 15.5 feet below the surface of the water. If the diver continues to swim downward at a rate of 2.5 feet per second, what is her location, in feet, relative to the surface after 712 seconds? feet
The answers is: 33
33 is the integer that represents her location relative to the surface after 7 seconds.
And 33 feet far the diver have to go to return to the surface.
Step-by-step explanation:
Given:
A scuba diver is 15.5 feet below the surface of the water.
The diver continues to swim downward at a rate of 2.5 feet per second.
Now, to find the integer represents her location relative to the surface after 7 seconds.
And to find how far does the diver have to go to return to the surface.
So, to get the integer represents her location relative to the surface after 7 seconds.
Initial depth = 15.5 feet.
Distance traveled down = 7 × 2.5 = 17.5 feet.
Final depth of water surface = Initial depth + Distance traveled down.
Final depth of water surface = 15.5 feet + 17.5 feet.
Final depth of water surface = 33 feet.
Thus, 33 is the integer represents her location relative to the surface after 7 seconds.
Now, to get how far does the diver have to go to return to the surface:
As, the diver goes to 33 feet down to the surface.
Thus, the diver to return she have to go through the same distance.
So, to return to the surface she need to go to 33 feet far.
Therefore, 33 is the integer that represents her location relative to the surface after 7 seconds.
And 33 feet far the diver have to go to return to the surface.
Solve this please help me
Answer:
1/2 or 0.5
Hope it helps!