The exact value of the cotangent of theta in simplest radical form is -21/20.
What is the simplest radical form?
The simplest radical form is the expression of a radical without any factors inside the radical that can be further simplified.
To find the exact value of cotangent of theta, we need to find the values of cosine and sine of theta first.
Given that the terminal side of the angle passes through the point (21,-20), we can use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the angle and the x and y-axes:
[tex]h = \sqrt{(21^2 + (-20)^2)} = \sqrt{(841 + 400)} = \sqrt{(1241)}[/tex]
Then, we can find the values of cosine and sine of theta using the x and y-coordinates of the point:
cos(theta) = adjacent/hypotenuse = 21/sqrt(1241)
sin(theta) = opposite/hypotenuse = -20/sqrt(1241)
Now we can find the value of cotangent of theta:
cot(theta) = cos(theta) / sin(theta) = (21/sqrt(1241)) / (-20/sqrt(1241))
= -21/20
Therefore, the exact value of the cotangent of theta in simplest radical form is -21/20.
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Question 1
Form the largest 5-digit number using the digits 9, 2,5, 4, 7 only once
a. 97542
b. 97524
c. 97425
d. 24579
Answer:
97542
Step-by-step explanation:
Write all the numbers in descending order
hope it helps
Answer: 97542
Step-by-step explanation: go in order of largest to smallest number as starting with a bigger number will let you end with a bigger number
Find the slope, or rate of change, from the following tables:
Please help me
23.
Maria has a rectangular cookie sheet that measures 10 in. by 14 in. What is the approximate
length of the diagonal of the cookie sheet?
A.
B.
17 in.
4 in.
C.
D.
296 in.
24 in.
plz help with the problem
add it and you will get 24 so pick D
An animal shelter has 44 dogs and 54 cats. Then, 13 of these animals get placed in
new homes. How many animals are left at the shelter?
Answer:
44+54= 98
98-13=85
Step-by-step explanation:
Answer:
85 animals are left.
Step-by-step explanation:
44 + 54 = 98.
98 - 13 = 85.
The price of an item has dropped to $98 today Yesterday it was $140. Find the percentage decrease
Answer:
30%
Step-by-step explanation:
30% of 140 is 98
a cube has edges measuring 5 inches. Find the surface area of the cube.
9
Find mZWVT
T
35x-2
U
93 °
W
V
7x + 5
mZWVT =
Answer:
40
Step-by-step explanation:
[tex] \frac{35x - 2 - 93}{2} = 7x + 5[/tex]
[tex] \frac{35x - 95}{2 } = 7x + 5[/tex]
[tex]17.5x - 47.5 = 7x + 5[/tex]
[tex]17.5x = 7x + 52.5[/tex]
[tex]10.5x = 52.5[/tex]
[tex]x = 5[/tex]
Plug 5 in for 7x+5.
[tex]7(5) + 5 = 40[/tex]
Is 0.999 repeating equal to 1? Please explain
Answer:
It is not equal to 1
Step-by-step explanation:
It's not equal to one because even if it is repeating forever it will never ever get to one, just take a look
0.999...... every 9 get's smaller and smaller in value
like 0.9 is bigger then 0.09 and that is bigger then 0.009
so even thought it is always gaining value by every 9 the value it gains is smaller and smaller and will never be equal or larger then 1
Evaluate without a calculator:
cot -270°
Answer:
0
Step-by-step explanation:
The cotangent function is defined as cot x = adj / opp.
The terminal side of 270 degrees is the lower half of the y-axis. The adj side is zero (0) and the opp side is -1;
Therefore, cot (-270 degrees) = adj / opp = 0/(-1) = 0
The required answer is cot(-270°) is undefined
Given that cot(-270°).
To evaluate cot(-270°) without a calculator, use the trigonometric properties and definitions.
First, let's recall the definition of the cotangent function. The cotangent of an angle is defined as the ratio of the adjacent side to the opposite side in a right triangle.
cot(theta) = adjacent side / perpendicular
When we consider -θ, it represents a reflection or rotation of θ about the origin. This reflection does not affect the ratio of the adjacent side to the opposite side in a right triangle.
Thus, cot(-θ) = cot(θ).
In this case, dealing with an angle of -270°. Since angles can be measured counterclockwise, -270° represents a rotation of 270° clockwise from the positive x-axis.
At -270°, the terminal side of the angle lies on the negative y-axis.
cot(-270°) = cot(270°)
Since 360° - 270° equals 90°, cot(360° - 270°) = cot (90°)
At 90°, the terminal side of the angle lies on the positive y-axis.
In a right triangle formed with the terminal side of the angle, the adjacent side and the opposite side are both zero.
Since the cotangent is the ratio of the adjacent side to the opposite side, and both sides are zero in this case, the cotangent of -270° is undefined or "not defined."
Therefore, cot(-270°) is undefined.
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Sarah is filling 6 vases with water. Each vase will get of a liter of water. How many liters of water will be in the 6 vases? A. B. C. D.
What shape is this figure?
A cylinder.
cylinder
sphere
cone
pyramid
Answer:
Cylinder
Step-by-step explanation:
The shape of this figure is cylinder.
Answer:
a cylinder
Step-by-step explanation:
tis not sphere, cone, or pyramid :)
Jacob wants to purchase a new computer, but he does not have enough money in his bank account to pay for one.
Which of these is not an option for Jacob?
He can purchase the computer now using his his debit card.
He can put more money in his bank account and use his debit card to purchase the computer at a later date.
He can buy the computer using cash once he has saved enough money.
He can purchase the computer now using his his credit card.
Answer:
A is wrong. A debit card uses the money you have.
PLEASE HELP ME!!
Brainliest for most helpful
If you use bit. ly I will ban you
Don't try me
All I need is a decimal
It might be 0.432 because add all the mornings numbers, 19,2,6,16.
19+2+6+16 = 43.
How many Freshman? 19 so 19/43 and then you divide 19 and 43
19/43 and you get 0.4418604651 about and it looks to be close to 0.432.
What is the combined weight of all the kittens
Answer:
[tex]5[/tex]
Step-by-step explanation:
3/4+12/8+3/2+10/8=5
help out please !
Select all of the quadratic expressions in vertex form.
A (2+4)^2– 3
B (- 5)^2+ 2
C x^2+ 2x + 5
D x (x+2)
E (2+4)^2
Answer:
A C E
Step-by-step explanation:
write the equation of the line with a slope of -2/3 and a y intercept of (0, 6) in standard form *
Answer:
y=-2/3x+6
Step-by-step explanation:
I'm not sure of the question but that's the picture
Answer:
The answer is the first one
Step-by-step explanation:
[tex]46.2 \: {ft}^{2} [/tex]
Yha it is bad question :)
I hope that is useful for you
please help solve for x step by step ASAP!
Answer:
x=26
Step-by-step explanation:
the angle is a right angle so
90-37= 53
53-1=51
52/2= 26 thats x?
if you dont understand i can still describe more
GUYS PLEASE ASAP I WILL FAIL IF U GUYS DONT ANSWER PLEASE
Answer: a square is both rectangle and quadrilateral.a trapezoid, rhombus and parallelogram is a quadrilateral. A parallelogram is also a rectangl.
Step-by-step explanation:
Barkley's team won 40% of their games last season. If they won 12 games total last season, how many games did they play?
Step-by-step explanation:
40% × 12 = 4.8
12 + 4.8 = 16.8
rounded off = 17 games
find the perimeter and area of the shape based on the information provided
Answer:
If you were to attach the shape, I could help.
Three interior angles of a polygon are,100degrees,120degrees,and 108degrees.Find the remaining two sides,if one of them is three times the other
Answer:
Joe Mama :))))))))))))))))))))))
Step-by-step explanation:
Lia has a ribbon 325 4/5m long. She cuts off a 150 3/5m long piece; then she divided the rest of the ribbon into 3 parts of equal length. Find the length of each part.
Answer:
Each part is 56 11/15 m long.
Step-by-step explanation:
325 4/5 - 150 3/5
= 170 1/5
170 1/5 = 851/5
851/5 / 3
= 851/5 * 1/3
= 851/15
= 56 11/15.
Use the recursive relationship to complete the next two rows of Pascal's triangle. Row 5: 1 _ _ _ _ 1 Row 6: 1 _ _ _ _ _ 1
Answer:
1 5 10 10 5 1 Row 5
1 6 15 20 15 6 1 Row 6
Recursive relationship:
Each row has number of positions = row number + 1. The Row 0 is always 1.
The first and last number in each row is 1, the number in the second position and the penultimate corresponds to the number of the row. The middle numbers correspond to the sum of the two numbers in the top row. The resulting number from the addition is located in the middle of the numbers added in the next row.
Step-by-step explanation:
The pascal's triangle
* Row 0 = 1
* Row 1 = 1 1
1 Row 0
1 1 Row 1
Since there are only two positions, the first and last are 1.
*Row 2 = 1 _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
2 is the sum of 1 + 1 and we place it in the next row between the added numbers 1 and 1.
* Row 3 = 1 _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 + 2 = 3 (the row number and the and adding the numbers from the previous row)
* Row 4 = 1 _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 + 3 = 4 (the row number)
3 +3 = 6
* Row 5 = 1 _ _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 10 10 5 1 Row 5
1 + 4 = 5
4 + 6 = 10
* Row 6 = 1 _ _ _ _ _ 1
1 Row 0
1 1 Row 1
1 2 1 Row 2
1 3 3 1 Row 3
1 4 6 4 1 Row 4
1 5 10 10 5 1 Row 5
1 6 15 20 15 6 1 Row 6
1 + 5 = 6
5 + 10 = 15
10 + 10 = 20
Find the values of x and y.
Answer:
Step-by-step explanation:
y = 5
All sides measure the same So 8y= 40 y = 5
x = 30 degrees
The straight line of 40+40 is a straigth angle of 180 Each angle of equilateral triangle is 60 degrees.So its supplementary is 120.The other 2 angles need to add to 60 (30 each) to sum 180 in a triangle
A cylinder has a radius of 5 centimeters
and a height of 17 centimeters. What is
the total surface area of the cylinder?
Use 3.14 for
SA for a cylinder = 2 pie r squared + 2 pie r h
= 2 x pie x 25 + 2 x pie x 5 x 17
= 220 pie or 690.8 if you use 3.14 instead of the full value
Jessica got fast food for lunch. Jessica paid 3.10 dollars on fries and 4.88 on the sandwich with a $10 bill. Jessica got a combo deal. What was the change from the purchase?
Answer:
$2.02
Step-by-step explanation:
If Jessica paid $3.10 for fries and $4.88 for the sandwich, we need to add these two values together to find the total cost of her entire meal.
3.10 + 4.88 = 7.98
Since Jessica paid with a $10 bill then we need to subtract the total from the bill in order to find the change that Jessica will receive from her purchase.
$10 - $7.98 = $2.02
Now we can see that Jessica will receive a total of $2.02 in change after making her purchase.
1 of 5
A = 3(a+b)h
Work out A if a = 6,b= 4 and h = 5 .
A=
Need help with number 6 please.
Answer: D
Step-by-step explanation:
36.20/10= 3.62
3.62x7= 25.34
$25.34
please help!!!
i need help with this
Answer:
Step-by-step explanation:
Combine like terms. Like terms have same variable with same power
a) (2xy + 4x) + (15xy - 5x) = 2xy + 15xy + 4x - 5x
= 17xy - x
b) (6a + 4b² - 3) + (3b² - 5) = 6a + 4b² + 3b² - 3 - 5
= 6a + 7b² - 8
c) (4x³ - 3x² +4x) + (8x² - 5x ) = 4x³ - 3x² + 8x² + 4x - 5x
= 4x³ + 5x² - x
d) (7b - 6a + 9y) - (12b + 5a - 2y) =
In subtraction, add the additive inverse of (12b + 5a - 2y)
additive inverse = - 12b - 5a + 2y
(7b - 6a + 9y) - (12b + 5a - 2y) = 7b - 6a + 9y -12b -5a + 2y
= 7b - 12b -6a - 5a + 9y + 2y
= -5b - 11a + 11y
e) (2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)
Additive inverse of 13x + 4x² + 5 - 6y = -13x + 4x² - 5 + 6y
(2x² + 7x - 2 + 9y) - (13x + 4x² + 5 - 6y)= 2x² + 7x - 2 + 9y -13x - 4x² -5 +6y
= 2x² - 4x² + 7x -13x -2 - 5 + 9y + 6y
= -2x² - 6x - 7 + 15y