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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simplify the expression 10+7x-5+4x
Answer:
11x + 5
Step-by-step explanation:
To simply, just combine like terms.
10 + 7x - 5 + 4x
[Add 7x and 4x]
↓
11x + 10 - 5
[Subtract 5 from 10]
↓
11x + 5
Which temperature is warmer, -2 degrees Celsius, or -5 degrees Celsius?
-2
-5
Answer:
-2 is warmer the -5 degrees
Answer:
-2 Celsius
Step-by-step explanation:
The negative degrees in Celsius work the same way as Fahrenheit
The closer the number is to 0 the warmer the temperature is... -2 is closer to 0 than -5
Which minor scale has 3 flats
Answer:
C Minor
Step-by-step explanation:
Jaspar has a lemonade stand. One glass of lemonade has 4950 milligrams of sugar. One weekend, he sells 87 glasses of lemonade. How many grams of sugar does Jasper use that weekend?
Answer:430650
Step-by-step explanation: all you do is multiply 87 x 4950.
someone please help me!
Answer:
x = 13
Explanation
The radius of a circle is 4 feet. What is the length of a 90° arc? HELP ME PLEASE
Answer:
6.3feet
Step-by-step explanation:
Given data
Radius= 4feet
The expression for the circumference of a circle is
C= 2πr
Substitute
C=2*3.142*4
C=25.136 feet
Also, a 90° arc is 1/4 of the circumference of a circle
Hence the length of the 90° arc is
=25.136/4
=6.284 feet
=6.3feet
Please help me find this answer
Answer:
A = 706.9 ft²
C = 94.2 ft
Step-by-step explanation:
A = πr²
C = πd
r = d/2 = 30 ft/2 = 15 ft
A = π × (15 ft)² = 225π ft² = 706.9 ft²
C = π × 30 ft = 30π ft = 94.2 ft
A school club is raising money for a trip, and needs to reach $10,000. Their fundraising progress is modeled by the function
f(x) = 435 + 1200x, where x is measured in weeks.
What is the meaning of the coefficient 1200?
Answer:
maybe the amount of money by each student
Multiply.
-0.2(24)=
-100(-9.287)
Answer:
-0.2(24)= -4.8
-100(-9.287)= -9.287
63/8 as a mixed number
Answer:
7 7/8
Step-by-step explanation:
find the solution to the system of equations
Answer:
(-2,0)
Step-by-step explanation:
The solution is where the two graphs intersect.
Plss help ! I will give you brainliest
Answer:
16 + -16 -4 ( 20 ) - 6)
Step-by-step explanation:
here is answer
Answer:
16 + -16 -4 ( 20 ) - 6)
Step-by-step explanation:
Please mark me brainliest
select all of the expressions that are equivalent to 4(5x+2y)
Answer:
Where are the expressions?
Step-by-step explanation:
Answer:
Step-by-step explanation:
In the right triangle shown, m\angle Y = 30\degreem∠Y=30°m, angle, Y, equals, 30, degree and XY= 6XY=6X, Y, equals, 6.
Answer:
YZ = 6.93
Step-by-step explanation:
Find the complete question attached
From the diagram, we are to look for YZ
Given the following
XY = adjacent = 6
measure of m<Y = 30degrees
Required
YZ = hypotenuse
Using the SOH CAH TOA identity
Cos theta = adjacent/hypotenuse
Cos 30 = XY/YZ
Cos 30 = 6/x
x = 6/cos30
x = 6/0.8660
x = 6.93
Hence the length of YZ is 6.93
The area of the rectangle below is 18 square units and the length is 3 3/4 .What is the width of the rectangle?
Answer:4.8
Step-by-step explanation:18/3.75=4.8
I need help!!!!!!!! Please help me solve this!!!
Answer: y = 2x + 2
Step-by-step explanation:
Estimate, then add. Write each sum in the simplest form.
Answer:
add the fractions and then divide
Step-by-step explanation:
so you add the top two and then the bottem two and then after you get those two anwsers divide them
A restaurant sells large and small bowls of soup. A 150-ounce pot of soup can make 10 large bowls. A small bowl of soup is 3/5 the size of a large bowl. How many small bowls of soup can be served from a 108 once pot of soup
12 small bowls of soup can be served from a 108 ounce pot of soup
150-ounce pot of soup can make 10 large bowls. Hence:
Number of ounce in each large bowl = (150 / 10) = 15 ounce per bowl
For 108 ounce pot of soup:
Number of bowls = 108 ounce / (15 ounce per bowl) = 7.2 large bowls
1 small bowl = (3/5) large bowl
7.2 large bowl = 7.2 large bowl / (3/5 large bowl per small bowl) = 12 small bowls
Therefore, 12 small bowls of soup can be served from a 108 ounce pot of soup.
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please help xx 10 points
I uploaded the answer to a file hosting. Here's link:
bit.[tex]^{}[/tex]ly/3a8Nt8n
i need help plz help me
Answer:
B. 6 x 1.05
Step-by-step explanation:
Answer:
do 6 * 1.05 and that will be your answer if any other questions please
If Greg Has 15 Jars of Cookies, and there are 143 cookies IN TOTAL how many cookies are left over after EQUALLY distributing them.
WILL GIVE BRAINLIEST!!!!!!
Answer:
8 cookies left over
Step-by-step explanation:
use long division.
divide 143 by 15.the remainder is 8
Salma made 378 for 18 hours of work.
At the same rate, how much would she make for 5 hours of work?
Please help me answer this question!
Answer:
Sorry, I can't help you with that :( I hope someone else can tho!
Step-by-step explanation:
Felix puts 6000 into saving bonds that pay a simple interest rate of 4.4 how much money will the bonds be worth at the end of 6 years
Answer:
$7,584
Step-by-step explanation:
The computation of the amount worth at the end of 6 years is shown below:
As we know that
SImple interest = Principal amount × rate of interest × time period
= $6,000 × 4.4% × 6
= $1,584
Now the amount at the end of 6 years is
= Principal amount + simple interest
= $6,000 + $1,584
= $7,584
Hence, the amount would be $7,584
the number of miles to the nest service station and the number of kilometers
Answer:
<3
Step-by-step explanation:
is a linear relationship as the are 1.6 Km in 1 mile .
Plz help ASAP just say give me the answer and the number the answer goes in thank you very much
Answer:
1) 85
2) 95
3) 75
4) 90
5) 120
6) 110
7) 65
8) 130
Select the three equations that have the same solution.
A. y + 3 = 4
B. y/1.75 =4
C. 5y = 35
D. 22 + y = 29
Answer:
B,C,D
Step-by-step explanation:
B= solve your equation step-by-step.
y
1.75
=4
Step 1: Multiply both sides by 1.75.
y
1.75
=4
(
y
1.75
)*(1.75)=(4)*(1.75)
y=7
----------------------------------------------------------
C= solve your equation step-by-step.
5y=35
Step 1: Divide both sides by 5.
[tex]\frac{5y}{5}[/tex] = [tex]\frac{35}{5}[/tex]
Thus y=7
---------------------------------------------------------
D= solve your equation step-by-step.
22+y=29
Step 1: Simplify both sides of the equation.
y+22=29
Step 2: Subtract 22 from both sides.
y+22−22=29−22
y=7
------------------------------------------------------------
Write the number 0.00058 in scientific notation.
will mark brainliest.
Answer:
5.8 x 10 -4
Step-by-step explanation:
move decimal to 5.8 then find out how many times the decimal is moved from the final 5.8 to initial .00058
can you pls help!!!!??!?!?!,!
The diagram below shows some 1-inch cubes placed in a box.
5 in.
1 in.
4
in.
I
-8 in.
How many more 1-inch cubes are needed to completely fill the box?
Answer:
Step-by-step explanation:
Question 3 of 10
What is the formula for finding the break-even point?
A. Break even point =
(0.125)(# of points)
monthly savings
B. Break even point =
(0.01)(# of points) (P)
monthly savings
C. Break even point =
(0.125)(# of points) (P)
monthly savings
D. Break even point =
(0.01) (# of points)
monthly savings
SUB
Answer: B. Break even point=(0.01)(# of points)(P) / monthly savings
Step-by-step explanation: took the quiz.
The formula for finding the break-even point is: Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit).
What is break-even point?The break-even point is the point at which a company's total revenue from sales equals its total costs, resulting in a profit of zero. There is no profit or loss at the break-even point.
The formula for finding the break-even point is:
Break-even point = Fixed costs ÷ (Unit price - Variable costs per unit)
Where:
Fixed costs: the costs that do not change with the level of production or salesUnit price: the selling price of one unit of the product or serviceVariable costs per unit: the costs that vary with the level of production or sales, such as materials, labor, and shipping costs.Thus, the break-even point is the point at which the total revenue from sales equals the total costs, so there is neither a profit nor a loss.
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