Use a calculator to solve for θ in the given interval. Cot θ= 0.7615, for 0 < θ < 2 pi
Answers
θ = 52.71° or 232.71°
In radians
θ = 0.2928π rad or 1.2928π rad
That is,
θ = 0.92 rad or 4.06 rad
Step-by-step explanation:
Cot θ = 0.7615 for 0 ≤ θ ≤ 2π
Note that Cot θ = (1/tan θ)
(1/tan θ) = 0 7615
tan θ = (1/0.7615) = 1.3132
θ = tan⁻¹ (1.3132) = 52.71°
But, note that tan is also positive in the 3rd quadrant, hence,
θ is also equal to 180° + 52.71° = 232.71°
θ = 52.71° or 232.71°
We now convert to radians
360° = 2π
52.71° = (52.71 × 2π)/360 = 0.2928π = 0.92 radian
232.71° = (232.71 × 2π)/360 = 1.2928π = 4.06 radians
Related Questions
Name three fractions between 1/3 and 1/4
Answers
Answer:
[tex] \frac{2}{7} \\ \\ \frac{5}{16} \\ \\ \frac{7}{24} [/tex]
Which congruent angles can prove that
lines Land M are parallel?
A. 2 and 7
B. 5 and 8
C. 4 and 6
Answers
Answer:
C 4 and 6
Step-by-step explanation:
Because 4 and 6 are coointerior
Ted has 18 feet of lumber. How many 2 1/2 foot shelves can he make? Explain your answer.
Answers
Answer:
The answer is 7.2, and if you round it, it would be 7.
If j= 14, find the value of 1/2j.
Answers
Answer:7
Step-by-step explanation:
1/2 of j is the same as j ÷ 2
14 ÷ 2 = 7
There are 26 red cards and 26 black cards in a standard deck of playing cards, for a total of 52 cards. There are 4 kings to a deck, two of which are red kings and two of which are black kings. A card will be randomly selected from a standard deck of playing cards. Let A represent selecting a king and let B represent selecting a red card. Calculate the following probabilities:
P (A) =
P (A ׀ B) =
Based on these probabilities, are A and B independent events? Explain your reasoning.
Answers
6 Ella is a salesperson for a cosmetics company. She is paid $500 per week and a commission of 3% on sales in excess of $800.
What does Ella earn in a week in which she makes sales of $600?
Answers
The total amount that Ella earned in a week in which she made sales of $600 is; $500
How to solve Algebra Word problems?The parameters given about Ella who is a salesperson are;
Amount paid per week = $500
Commission on sales exceeding $800 = 3%
Total sales for the week = $600
From the parameters above, we see that she didn't make sales exceeding the commission limit of $800 and as such she didn't earn any extra commission.
Therefore her weekly pay was still $500
Read more about Algebra Word Problems at; https://brainly.com/question/21405634
#SPJ1
How? Can a i get a clear explanation. is the question wrong or am i wrong?
Answers
Answer:
U are wrong no need to be pushy to u
Which of the following is a trinomial with a constant term?
A. x + 2y + 10
a
B. X
c. Y6+ 8y3 + 64y
+
D. x2 + y
Answers
Answer:
The answer would be
A. x + 2y + 10
A constant term is considered any term that does not change or have a variable with it. 10 is the only displayed constant term.
Answer:
[tex]\\ \sf\longmapsto x^2+y[/tex]
Step-by-step explanation:
Trinomial means the expression has 3 roots.
In the last one
x has degree 2 so it has 2roots. And there is another variable namely y so another root.Total 3 roots
Please someone help me with this im giving brainliest!!
Answers
Answer:
A) Second step
would be the answer
Write the prime factorization of 128. Use exponents when appropriate and order the factors from least to greatest
Answers
128 = 2^7
There are just seven 2's being multiplied to get to 128,
We know that the factors of 128 are : 1, 2, 4, 8, 16, 32, 64, and 128 itself.
But we need a prime factorization, and so [tex]2^{7}[/tex] is the prime factorization of that number
Find all possible values of P in x^2-10x+P=(x-A)(x-B) if P, A and B are all whole numbers
Answers
The value of P in the expression [tex]x^2-10x+P=(x-A)(x-B)[/tex] is 25
Given the expression [tex]x^2-10x+P=(x-A)(x-B)[/tex]
To get the value of P, we will use the completing the square method;
Add the square of the half of the coefficient of x
The coefficient of x is -10Half of the coefficient of x is -10/2 = 5Square of half of the coefficient of x = 5^2 = 25Hence the complete quadratic expression will be [tex]x^2-10x + 25[/tex]
Hence the value of P in the expression [tex]x^2-10x+P=(x-A)(x-B)[/tex] is 25
Learn more here: https://brainly.com/question/13981588
-1.5x – 2x - 12(x + 10)
Answers
Answer:
-15.5x-120
Step-by-step explanation:
-1.5x-2x-12(x+10)=-1.5x-2x-12x-120
=-15.5x-120
Answer:
-3.5x - 12(x + 10)
-3.5x - 12x - 120
-15.5x - 120
Step-by-step explanation:
brainliest plz
Simplify these epressions.
Answers
Letter c
question 3 please!!!!!!!!!
Answers
Answer:
RIS
Step-by-step explanation:
Answer:
Step-by-step explanation:
Will give brainiest to correct answer
Answers
Answer:
8 x 4 = 5 fours + 3 fours
= 20 + 12
= 32
Hope This Helps! •v•
Please help! If you do so you will get 50 points and brainiest!
Answers
Answer:
1
Step-by-step explanation:
Explanation: 0v0
The sum of three consecutive even integers is 642. What are the integers? (Show your work too please)
Answers
Answer:
212,214,216
Step-by-step explanation:
n+n+2+n+4=642
add the n's and 2 and 4
3n+6=642
subtract 6 from both sides
636 divided by 3
you get 212 then add 2 twice.
Answer:
212, 214, 216
Step-by-step explanation:
Basically you can divide 642 by 3 to find the average number of the 3. get You get 214, so that means 214 + 214 + 214 = 642
We need consecutive EVEN integers though, so you can take the one even BEFORE and then one even AFTER 214
This means 212 and 216 are used as they are 2 before and 2 after, so when added they still total 642.
What is the x-intercept of the line 2x -3y = -6?
Answers
Answer:
The x-int is 3/2y - 3 (x=3/2y-3)
Step-by-step explanation:
2x-3y=-6
2x=3y-6
x=3/2y-3
7-12 plz help me identify each pair of angles
Answers
7. supplementary
8. same side interior angles
9. alternate exterior angles
10. vertical angles
11. complementary angles (I’m not entirely sure about this one)
12. alternate interior angles
Given f(x) = -x + 5, solve for 2 when f(x) = -10.
Answers
Answer:
15
Step-by-step explanation:
replace x with -10
Solve for the indicated variable. Include all of your work in your answer. Submit your solution.
Answers
Answer:
[tex]h = \frac{2a}{a + b} [/tex]
(a) The area of a rectangular parking lot is 7802 m².
If the width of the parking lot is 83 m, what is its length?
Length of the parking lot: Im
(b) The perimeter of a rectangular pool is 352 m.
If the length of the pool is 97 m, what is its width?
width of the pool: Im
Answers
Answer:
A) Length = 94 m
B) Width = 79 m
Step-by-step explanation:
A)
The area of a parking lot is 7802 m²
Area = length x width
7802 = length x 83
length = 7802 ÷ 83
length = 94 m
b)
The perimeter of a pool is 353 m
Perimeter = 2(length + width)
352 = 2(97 + width)
352 = 194 + 2width
2width = 352 - 194
2width = 158
width = 158/2
width = 79 m
-Chetan K
Calvin kicked a soccer ball laying on the ground. It was in the air for 5 seconds before it hit the ground. While the soccer ball was in the air it reached a height of approximately 25 feet. Assuming that the soccer ball’s height (in feet) is a function of time (in seconds), what are the domain and range in the context of this problem?
Answers
Refer to the attachment
If y varies directly with X,
Y
and y= 4.5 when x= 2.5,
what is y when x= 12?
Y
Answers
Answer:
y=1.8x
Step-by-step explanation:
Find the original price of a pair of shoes if the sale price is $28 after a 50% discount.
Answers
Answer:
The original price was 56 dollars
Step-by-step explanation:
28 divided by 0.5 equals 56
Consider the following data set:
2 , − 3 , − 3 , 1 , 8 , 12 , 14 , 2
Find the lower quartile.
Answers
Answer:
-3, -3, 1, 2, | 2, 8, 12, 14
Lower quartile is negative 1
Because the middle number is the median because there is an odd set of numbers.
To find the quartile you have to arrange the numbers from lowest to highest.
When you find middle number you have to find the half of the lower half of the middle, which you will solve the lower quartile. Since there are even numbers you add the two middle numbers and divide it by 2. And you'll get the answer hope that helped
Dividing fractions word problems 1 1 A 16-kilometer stretch of road needs repairs. Workers can repair 2- kilometer of road per week. 4 How many weeks will it take to repair this stretch of road? Weeks Stuck? Reviews related articles/videos or use a hint.
Answers
Answer:
8 weeks
Step-by-step explanation:
16km is the total, 2km is what is completed in a single (1) week.
so our equation is 16÷2
Week 1: 2km
Week 2: 4km
Week 3: 6km
Week 4: 8km
Week 5: 10km
Week 6: 12km
Week 7: 14km
Week 8: 16km (final)
there were 8 gallons of juice for the third grade picnic.How many gallons of juice were there for each of the third grade classes???? please help with my hw!!!
Answers
Find the equation (in terms of x) of the line through the points (-2,4) and (2,0)
y =
Answers
Answer:
y = - x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 4 ) and (x₂, y₂ ) = (2, 0 )
m = [tex]\frac{0-4}{2-(-2)}[/tex] = [tex]\frac{-4}{2+2}[/tex] = [tex]\frac{-4}{4}[/tex] = - 1 , then
y = - x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 0 )
0 = - 2 + c ⇒ c = 0 + 2 = 2
y = - x + 2 ← equation of line
David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:1. He currently has 40 grams of the spice blend, and he can go buy more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David spends 4.50 dollars on rice.
What is the price of rice per gram?
Answers
Answer:
The price of rice per gram is 0.006$
Step-by-step explanation:
I. David wants to make 10 servings,
each require 75 g of rice and 5 spice. When ratio is 15:1
If rice : spice = 75 : x
15x = 75
x = 5
=> 5 * 15 : 1 * 5
= 75 : 5
So rice : spice is 75 : 5
II. When 1 serving require 75 : 5
So 10 servings is 10 * 75 : 5 * 10
= 750 : 50
So he must has 750 grams rice and 50 grams spice.
III. He must buy spice and rice which..
a) He has 40 grams spice, he'll buy for 10 grams spice.
b) He has no rice, he'll buy for 750 grams rice.
But the question only ask for price of rice which he spend 4.5$
= [tex]\frac{4.5}{750}[/tex]
= 0.006$
In 1 gram of rice he spend 0.006$
If 750 grams of rice, he'll spend 750 * 0.006$ = 4.5$ => true
That makes 0.006$ is the right answer.
Hope that help :)