Answer:
cot 840° = [tex]\sqrt{3}[/tex]
Step-by-step explanation:
First, we must bring the value of 840° down to a value less than 90°.
To do that, we have to consider how many full rotations 840° is on the coordinate plane.
Start by dividing by 360°, since that is one full rotation.
840°/360°=2 R.120
So now we know that 840° is 120° extra, and therefore, the two calues will be equal.
So, cot840°, will be the same as cot120°
But now we need to make 120° a value less than 90°. So we can divide by 90°
120°/90°, and you get 1 R.30°
So now we also know that cot120° = cot 30°
Using your trigonometric table, we see that cot 30° = [tex]\sqrt{3}[/tex]
Hope this helped
Answer:
cot840=cot(180×5-60)=cot(-60)since cot is negative in second quadrant
cot(-60)=1/(tan(-30))=1/(-1/√3)=-√3
Very confused. Will give 40pts.
Answer:
Y = 10.25 or 10.247
Step-by-step explanation:
Alright So use the Formula A^2 + B^2 = C^2
You have one leg and the hypotenuse so first you are going to find 19 ^2 = 361.
Next, you need to find 16^2 = 256.
Last but not least, you subtract the leg from the hypotenuse, which equals 361-256=105
Finally, you take 105 and find its square root.
And depending on how far you round it down, your answer would be 10.25(that is in tenths), or 10.247(which is rounded to hundredths)
Hope this helps!
intro to inequalities 16>f, if f=17
Answer:
Is No Solution
Step-by-step explanation:
There are 1,092 people who work in an office building. The building has 4 floors, and the same number of people work on each floor. How many people work on each floor?
Answer:
273 people.
Step-by-step explanation:
Given that,
Total number of people working on an office building = 1092
The building has 4 floors, and the same number of people work on each floor.
We need to find how many people work on each floor. Let there are n people in each floor.
n = Total number of people/Total number of floors
[tex]n=\dfrac{1092}{4}\\\\n=273[/tex]
So, there are 273 people working on each floor.
One side of a rectangle is three yards longer than twice the length of the other side. If the perimeter is 27 yards, what is the length of the other side? Please help I'll give brainliest
Answer:
Length of sides ;
3.5 yards ; 10 yards.
Step-by-step explanation:
Let :
Side 1 = x
Side 2 = y
x = 2y + 3
Perimeter (P) of rectangle = 2(side1 + side2)
Perimeter, P = 27
P = 2(x + y)
27 = 2(2y + 3 + y)
27 = 2(3y + 3)
27 = 6y + 6
27 - 6 = 6y
21 = 6y
y = 21/6
y = 3.5
From ; x = 2y + 3
x = 2(3.5) + 3
x = 7 + 3
x = 10
Length of the other side of the rectangle will be 10 yards.
Perimeter of a quadrilateral:Perimeter of a quadrilateral is given by sum of all the sides.
Perimeter of a rectangle = 2(Length + Width)
Given in the question,
One side of the rectangle is three yards longer than twice of the other side.Perimeter of the rectangle = 27 yardsLet one side of the rectangle = x yards
Therefore, other side of the rectangle = (2x + 3) yards
Substitute the values in the expression for the perimeter,
Perimeter = 2[x + (2x + 3)]
27 = 2(3x + 3) [Simplify the equation]
27 = 6x + 6
6x = 21
x = 3.5 yards
Other side of the rectangle = (2x + 3) yards
= 2(3.5) + 3
= 10 yards
Therefore, length of the other side of the rectangle will be 10 yards.
Learn more about the perimeter of a quadrilateral here,
https://brainly.com/question/20521578?referrer=searchResults
Elliot is promoting a concert and needs to print posters to put up aro und the city. He gets information from two companies on printing costs. APlus Printing charges a setup fee of $20 and 10 cents for each poster printed. PrintMore, a competing company, charges $55.00 for setup and five cents per poster. How can Elliot determine which plan will be cheaper?
Step-by-step explanation:
Each of the printing companies have their own advantages. APlus Printing has a lower setup fee and PrintMore has a lower cost for each poster printed. We can find out at what number of posters are the 2 costs the same.
Let x be the number of posters.
We have $20 + $0.1x = $55 + $0.05x.
=> $0.05x = $35
=> x = 700
Hence we can give a conclusion:
If Elliot is printing less than 700 posters, he should use APlus Printing.If Elliot is printing more than 700 posters, he should use PrintMore.If Elliot is printing exactly 700 posters, he should use either company.Tyler says he invented a number puzzle.
He asks Clare to pick a number, and then asks her to do the following:
Triple the number
Subtract 7
Double the result
Subtract 22
Divide by 6
Clare says her final answer is -3. Tyler says her original number she thought must have been 3.
How did Tyler know that? Explain or show your reasoning.
Jared painted a mug 3 16 red and 5 16 blue. What part of the mug is not red or blue? of the mug is not red or blue.Jared painted a mug 3 16 red and 5 16 blue. What part of the mug is not red or blue? of the mug is not red or blue.
Answer:
8 16
Step-by-step explanation:
3/16+5+16=8/16
16/16(the whole mug)-8/16=8/16
Answer:
8 16
Step-by-step explvanation:
Liam and Harper are racing on a track. Liam runs 4 miles per hour and gets a 0.25 mile head start. Harper runs 0.5 miles per hour fastet than Lism. If harper and Liam run the same distance, how many hours, x, do they run?
Answer:
30 minutes = 0.5 hour
Step-by-step explanation:
0.5 miles faster than Liam:
4x + 0.25 = 4.5x
0.25 = 4.5x - 4x
0.25 = 0.5x
x = 0.25 / 0.5
x = 0.5 hours
x = 30 minutes
Which has the same product as 2/3 x 8
A. 5/6 x 7
B. 1/4 x 13
C. 3/8 x 2
D. 1/3 x 16
Answer: D. 1/3 x 16
Step-by-step explanation:
Alicia already spent $8.25 of her paycheck. If this was 15% of her paycheck, how much was she paid?
A. $15.00
B. $23.25
C. $55.00
D. $123.75
Answer:
She was paid $55.
Step-by-step explanation:
15%=0.15
8.25/0.15=55
Algebraically find the vertex of the function f(x) = x2 – 6x + 16.
Lee filled several jars with 1/4 cup of water in each jar .He used a total of 8 cups of water. Let j represent the number of jars that Lee filled. Write and Solve an equation to find out how many jars lee filled.
Answer: 32
Step-by-step explanation:
8x4 = 8 / 0.25
NEED ASAP PLEASE HELP
Answer:
Step-by-step explanation:
Im sorry but looks hard
For each point Identity where the point is located
HELP THIS IS LEGIT OVERDUE BY TWO HOURS
Answer:
3, 1, 2, 4, 5, 6
Step-by-step explanation:
i gave it to you in order from top to bottom
Mmmm! I love apple cider punch this time of year, and so do all my neighbors. My recipe calls for two quarts of apple cyder, three teaspoon of cinnamon, and one pint of lemon-lime soda. This will make enough for 8 people to share. In my neighborhood, however, there are 36 people. How much do I need for each ingredient to make enough for everyone?
Answer:
j
Step-by-step explanation:
Juan made $115 for 5 hours of work how many hours would he have to work to make $414
Answer:
He would need to work for 18 hours.
Step-by-step explanation:
115÷5=23 (dollars)
414÷23=18 (hours)
Answer:
18 hours because Juan makes $23 an hours and if you divide the $414 by 23 you get 18 so he needs to work 18 hours to get $414
Step-by-step explanation:
Which of the equations below has a slope of of 1/5 ?
Do this for a lot of points and brainly!!! Asap
Answer:
(-4,1)
Step-by-step explanation:
you can choose any point on the line
Please help me with this question!!
What is the y-intercept of the function nx) = x + 5
costs us when ons
Ill mark you brainliest And you'll get 20 points!
Answer:
F. 3k - 11 =-34
Step-by-step explanation:
3(-15) -11 = -34
-45 - -11 =-34
- + - = a positive
-45 + 11 = -34
Thelma ordered 2 tacos and 1 quesadilla and paid $5.51. Louise ordered 2 quesadillas and 1 taco and paid 7.09 find the cost for 1 of each of these items
Answer:
A single taco costs $1.31
A single quesadilla costs $2.89
Step-by-step explanation:
Let's suppose that:
T is the price of a single taco.
Q is the price of a single quesadilla.
Thelma ordered 2 tacos and 1 quesadilla, and she paid $5.51, this can be written as:
2*T + 1*Q = $5.51
And we know that Louise ordered 2 quesadillas and 1 taco, and she paid $7.09, this can be written as:
1*T + 2*Q = $7.09
Then we have a system of equations:
2*T + Q = $5.51
T + 2*Q = $7.09
To solve this, we first need to isolate one of the variables, let's isolate T in the second equation:
T = $7.09 - 2*Q
Now we can replace this in the first equation:
2*($7.09 - 2*Q) + Q = $5.51
Now we can solve this for Q.
2*$7.09 - 2*(2*Q) + Q = $5.51
$14.18 - 4*Q + Q = $5.51
$14.18 - 3*Q = $5.51
$14.18 - $5.51 = 3*Q
$8.67 = 3*Q
($8.67)/3 = Q
$2.89 = Q
This means that the price of a single quesadilla is $2.89
Now we can use the equation:
T + 2*Q = $7.09
T + 2*($2.89) = $7.09
T + $5.78 = $7.09
T = $7.09 - $5.78 = $1.31
The price of a single taco is $1.31
find the x for these
Answer:
i hope these are helpful
NEED NOW PLZ !!!!!!!!!!!!!!!!!!!!!!1
What is the area of the trapezoid?
Answer:
it 40 :)
Step-by-step explanation:
Answer:
1476
Step-by-step explanation:
what is the value of x and y?
Tile costs $28 per square meter. How much will it cost to cover the countertop with the new tile? It will cost $ to cover the countertop with new tile.
Answer:
A. 4.4652 square meters
B. $125.03
Step-by-step explanation:
A countertop is 16 feet long and 3 feet wide.
A. Calculation for What is the area of the countertop in square meters
First step is to calculate to convert 16 feet long length to meters and 3 feet wide length to meters
Since 1 meter=3.28 Feet
Hence,
Meters=16 feet long /3.28 Feet
Meters=4.88 meters
Meters=3 feet wide/3.28 Feet
Meters=0.915 Meters
Now let calculate the area of the countertop in square meters
Area of the countertop=4.88 meters*0.915 Meters
Area of the countertop=4.4652 square meters
B. Calculation for How much will it cost to cover the countertop with new tile
Total cost=$28*4.4652 square meters
Total cost=$125.03
Therefore How much will it cost to cover the countertop with new tile is $125.03
The perimeter of parallelogram ABCD is 92 cm. AD is 1 cm more than twice AB. Find the lengths of all four sides of ABCD
(1 point)
Answer:
Step-by-step explanation:
The perimeter of a parallelogram ABCD IS 92cm. AD is 1cm more than twice AB. Find the lengths of all four sides of ABCD
~~~~~~~~~~~~~~~~~~~~~~~~~~~
Let x = |AD| (the length of the side AD).
Let y = |AB| (the length of the adjacent side AB).
Then
2x + 2y = 92 (the perimeter)
x - 2y = 1 ("AD is 1cm more than twice AB.")
Add the two equations (both sides) and get
3x = 92 + 1 ---> 3x = 93 ---> x = 93/3---> x = 31.
Then from the second equation 2y = x - 1 = 30-1 = 30.
Hence, y = 30/2 = 15.
Answer. The sides of the parallelogram are 31, 15, 31 and 15 cm long.
help please n thank u
i’ll mark brainlist
Answer:
Slope = -1/4
Y-intercept = 50
Step-by-step explanation:
Change in y/ change in x = slope
75/-100 = -1/4
For y, the numbers decrease 25 each time so the change in y is -25.
For x, the numbers increase 100 each time so the change in x would be 100.
The fraction you have left is -25/100
Now, you simplify -25/100 and you get -1/4.
The y-intercept is 50 because x is 0 at the same time in the chart.
Pls help and show workings
It due ASAP
Answer:
its SAS
Step-by-step explanation:
As S stand for side A for angle
so side angle side gives SAS
Answer:
Side Angle Side Postulate. The Side Angle Side postulate (often abbreviated as SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Step-by-step explanation: Perhaps the easiest of the three postulates, Side Side Side Postulate (SSS) says triangles are congruent if three sides of one triangle are congruent to the corresponding sides of the other triangle. This is the only postulate that does not deal with angles.
Refer to the diagram shown.
Answer:
60º
Step-by-step explanation: