Answer:
The answer would be 120! I got it right
If θ is an angle in standard position and its terminal side passes through the point (21,-20), find the exact value of \cot\thetacotθ in simplest radical form.
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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At a tournament, the bowling league is providing 160 sandwiches for its members.
The table shows the number of different types of sandwiches that were ordered.
The ratio of turkey sandwiches to roast beef sandwiches is 5:3.
Drag the numbers to complete the table.
Turkey: 80
Roast beef: ?
Vegetarian: ?
The number of beef sandwich is 48 and vegetarian sandwich is 32.
What are word problems?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given that, total number of sandwiches = 160, ratio of turkey sandwiches to roast beef sandwiches = 5:3. Number of turkey sandwiches = 80
Let the number of turkey sandwich and that of roasted beef sandwich be 5x and 3x respectively,
5x = 80
x = 16
Therefore, number of roasted beef sandwiches = 16 × 3 = 48
Total number of turkey sandwich and beef sandwich = 48 + 80 = 128
The number of vegetarian sandwich = 160 - 128 = 32
Hence, the number of beef sandwich is 48 and vegetarian sandwich is 32.
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A new car has a sticker price of $25750, while the invoice price paid on it was 21950, what is the percentage?
Answer:
24750/21950 = 1.12756 or 112.756% of the original price. 12.76% is the correct answer.
Step-by-step explanation:
Answer:
24750 ÷ 21950 = 17.31% as the original price
Step-by-step explanation:
Keion is calculating his expenses from his work trip to San Francisco. Below is the expense log he kept while traveling.
Expense Amount of Expense
Airfare $379.00 round trip minus $15.00 movie on plane
Hotel $154.00 per night × 3 nights
Dinner $65.00 plus $13.00 tip
Car Mileage $0.55 per mile × 63 miles
Keion will submit all of the expenses to his company for reimbursement except for the movie on the plane. How much will he be reimbursed for?
A
$784.65
B
$923.65
C
$925.65
D
$938.65
Answer:
D
Step-by-step explanation:
379.00 - 15.00 + 154.00 x 3 + 65.00 + 13.00 = 904
0.55 x 63 = 34.65
34.65 + 904 = 938.65
Answer:
Your answer is D
Step-by-step explanation:
because 379-15+154x3+65+13+0.55x63=938.65
63 > -73
I need help plssss
Answer:
that statement is true
is this the answer you are looking for?
Answer:
True
Step-by-step explanation:
(HELP I BEG U THERE IS 20 MIN LEFT I NEED SLEEP AND I WILL GIVE BRAINLY )
Answer:
your answer is number 3 or 4 I believe it is both
Vani signed up for a streaming music service that costs $12 per month. The service allows Vani to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $1.25 per song. How much total money would Vani have to pay in a month in which she downloaded 30 songs? How much would she have to pay if she downloaded s songs?
Answer:
49.5$
Step-by-step explanation:
first you need to multiply 1.25*30 which will give you 37.5 then from there add the monthly cost which is 12$ giving you the total of 49.5$
Find the surface area of the triangular prism?
Answer:
Step-by-step explanation:
Surface area of a triangular prism
Height = 8cm
12cm
10cm
This given as:
S.A = B + Ph
what is1 00 + 84 – 62x = 494
Which graph best represents the equation 2x + 4y = -8?
Answer:
y = -1/2x - 2
Step-by-step explanation:
2x + 4y = -8
4y = -2x - 8
y = -1/2x - 2
Need help with this asap!
Answer:
Step-by-step explanation:
area circle = πr² or π(d/2)² but how to find the diameter?
The only angles I can see to calculate is in the small right triangle
The smaller angle on the right is ...
sin Ф = opp/hyp = 6/10 Ф = 36.87°
This angle is the same as the small angle on the LARGE right triangle
So now I want to calculate the side (diameter) opposite the smaller angle
sin Ф = opp/hyp = diameter/300 = sin 36.87°
diameter = 300 sin 36.87°
= 300 (6/10)
= 180 ft
area circle = πr² or π(d/2)²
area circle = π(180/2)²
area circle = 25446 ft² which is close to answer A 25434 ft²
There is actual no need to find the sin Ф wasted step
just use 6/10 small triangle is similar to diameter/300 the large triangle
opp / hyp small 6/10 = diameter/300 diameter = 180
area circle = π(180/2)² = 25446
5
?
Find the arc length of the partial circle.
Either enter an exact answer in terms of Tor use 3.14 for and enter your answer as
decimal.
units
Answer:
its 7.5 pi
Step-by-step explanation:
The length of the arc of the particle circle is equal to 23.55 units
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here the radius of the circle as 5 units thus the length of the arc which makes an angle of π-π/2=3π/2 is angle subtended at the centre times the radius of the circle
Arc length = 5×3π/2
= 15π/2
= 15×3.14 /2
= 23.55 units
Hence The length of the arc of the particle circle is equal to 23.55 units
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Find the area of the trapezoid.
12.5 cm
6 cm
17.5 cm
A. 90 cm2
B. 118.75 cm2
C. 130 cm2
D. 146.25 cm2
Answer: A.90 cm^2
Step-by-step explanation: A= a+b/2 h
A= 17.5+12.5/2 *6
A = 30/2*6
A= 15*6
A=90
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
2:3
Step-by-step explanation:
You can divide 6:9 by 3
6/3=2
9/3=3
So, therefore the answer is 2:3.
Which inequality represents this situation?
The number of students, s, who ride in a bus is less than 30.
s< 30
s> 30
S 30
ss 30
Answer:
s<30
Step-by-step explanation:
s is the number of students. the staement says the number of students is less than 30
Ayo can y’all help? No rush but it’s 25 points with brainliest
You know the answer is the third choice (C) because 7^2 is 49 and 8^2 is 56, the two closest squared numbers to 54.
49 < 54 < 56
The square root of 54 is roughly 7.4
I hope that helps :)
I WILL GIVE YOU 58 POINTS!!!!!!!!!
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Input(x) Output(y) 32 20 14 2 ? − 6 -2 -14 -10 ? Complete the function table and write the function rule.
Answer:
3rd box = 6
6th box = -22
y=x-12
output = input-12
Step-by-step explanation:
The input value correspond to output value = -6 is +6
The output value correspond to input value = -10 is -22
What is function Rule?A function rule is the relationship between the dependent and independent variables in the form of an equation.
As per the given data if we follow the pattern we get a relation between Output and Input as:
Output= Input-12
or, input= Output + 12
So, we have to find the input when output= -6
Input = -6+12
=+6
Now, to find the output when input is -10
output= -10-12
=-22
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5(-7)+9(4) I am confused on this problem
Answer:
the answer is 1
Step-by-step explanation:
Answer:
It's really easy, just need to multiply and add the symbol of the multiplication, the answer is: 1
-35+36=1
Jamie sees a sale at the Gaming Store where all games are the same price. He buys 3 video games. His sister talks him into also buying two $1.50 candy bars and a $2.00 drink for a total of $57.50. Write an equation to find the price of one video game.
Answer: 3x + 5 = 57.50
Step-by-step explanation:
Assume that the price of one video game is x. Jamie bought 3 video games so the expression will be:
= 3x
His sister talked him into buying two $1.50 candy bars and a $2.00 drink. The total of this is:
= 1.50 + 1.50 + 2.00
= $5.00
The total amount spent on both the video game and the snacks is $57.50. Equation will therefore be:
3x + 5 = 57.50
A composite shape consists of a square with a semicircle sitting on top of it. The dimension of the square (which is
also the dimension on the half circle) is 20 yards. What is the area of this composite shape?
Answer:
40m i think
Step-by-step explanation:
Time Remaining56:19m:s When I have walked 20 % of the way to school, I have 1200 metres more to walk than when I have 20 % of the walk remaining. How far, in metres, is it from my home to my school?
Answer:
x = Total distance from your home to school = 1,500 meters
Step-by-step explanation:
Let
x = Total distance from your home to school
When you walked 20% of the way to school, you still have 1200 meters more to walk
Walked distance = 20% of x
= 20/100 * x
= 0.2 * x
= 0.2x
Total distance - walked distance = 1200 meters
x - 0.2x = 1200
0.8x = 1200
x = 1200 / 0.8
x = 1,500 meters
x = Total distance from your home to school = 1,500 meters
❗❗❗PLS I NEED HELP ON THIS I DON'T UNDERSTAND PLS HELP❗❗❗❗❗❗
❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗
Answer:
3) H' = (-5,-4) I' = (-2,2) J' = (-2,-4)
4) K' = (-8,-3) L' = (-8,-8) M' = (-6,-8)
5) N' = (2,1) O' = (1,6) P' = (-2,3)
6) Q' = (0,3) R' = (-1,-2) S' = (3,1)
Step-by-step explanation:
All you have to do is exactly what the directions tell you to do. First, plot the original image of the triangle (The letters without the apostrophe (') behind it), and then recreate it on the opposite side of whatever axis it tells you to. The x-axis is the horizontal line, and the y-axis is the vertical line.
When you're doing this, think of it as a mirror. The mirror is whatever line it tells you to reflect the image across. The final product will be the exact same image, but reversed to the opposite of the axis chosen.
Let me know below in a comment if something confused you in my explanation, I'll try my best to re-word it better so you can understand :)
The length of the rectangle is 8 feet. The area is 32 square feet. What is the width of the rectangle?
Answer:
it's four
8×4=32
Program the VR Robot to drive in a square. Make each side of the square 3 grid squares long. What is the area of your square in mm? Use a calculator and/or pencil and paper to find out.
Answer:
9 mm squared
Step-by-step explanation:
hope this helps, lol :b
One hundred tomato plants were randomly selected from a large garden, and a 90% confidence interval was computed to determine the true proportion of plants that produce useable tomatoes. The interval is 0.86 to 0.92.
What would happen to the width of the confidence interval if the confidence level increased to 95%?
Answer:
The width of the interval would increase.
Step-by-step explanation:
What is the simplest form of the fraction below?
24/36
Answer:
2/3
Step-by-step explanation:
Can someone help me real quick? I’ll give brainliest
In the rectangular coordinate system, every point is represented by an ordered pair. The first number in the ordered pair is the x-coordinate of the point, and the second number is the y-coordinate of the point.
What is the 15th term in the sequence with the given formula?
An = 7n – 10
Help please :):))))))))))))))
Answer: the 2nd box
Step-by-step explanation:
Name an outcome that has a probability between 0 and 0.5.