Answers
9514 1404 393
Explanation:
Add sin(θ)
cos(θ) = sin(θ)
Divide by cos(θ)
1 = sin(θ)/cos(θ) = tan(θ)
Square both sides
1 = tan²(θ)
Add 1
2 = tan²(θ) = sec²(θ)
Take the square root
√2 = sec(θ) . . . . for 0 < θ < π
_____
Additional comment
The equation cos(θ) -sin(θ) = 0 has two solutions: θ = π/4 and θ = 5π/4. For the first-quadrant solution, sec(θ) = √2. For the third-quadrant solution, sec(θ) = -√2.
Related Questions
What is the formula for simple interest?
Answers
Answer:
A = P (1 + rt)
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
Step-by-step explanation: brainliest plz
The answer needs to be 20 characters but this is the formula for simple interest.
I NEED HELP ON THIS!!!
Look at the triangle below.
Which equation is equivalent to the law of cosines?
A
a2=c2−2cx+h2
B
a2=c2−2cx+x2+h2
C
a2=c−x2+h2
D
a2=c2−x2+h2
Answers
Answer:
I believe the answer is B. a^2 = c^2 - 2cx + x^2 + h^2
Step-by-step explanation:
The law of cosines states: c^2 = a^2 + b^2 - 2bc * cos(C). If we plug in the values from the diagram, we'll have (c-x)^2 = a^2 + h^2 -2ah * cos(90)
cos(90) = 0, so now we have just (c-x)^2 = a^2 + h^2
Let's expand this to c^2 -2cx + x^2 = a^2 + h^2
Isolate a^2 and we now have a^2 = c^2 -2cx + x^2 + h^2
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9 = n – 4pppppppllllllllsssssssssss help
Answers
Answer:
5
Step-by-step explanation:
Reverse it into n+4 = 9
The answer is 5
Please mark me as brainliest if that helped
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]n = 13[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving for 'n'...}}\\\\9 = n - 4\\-------------\\\rightarrow n - 4 = 9\\\\\rightarrow n - 4 + 4 = 9 + 4\\\\\rightarrow \boxed{n=13}\\[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Use all four operations without parentheses to write an expression that has a value of 10
Answers
Answer:
10-10+10÷10×10
Step-by-step explanation:
10-10=0+10=10÷10=1×10=10
Mercury has a freezing point of -38°F.
Water has a freezing point of 32°F. What is
the difference?
Answers
The difference between the freezing point of water and mercury is 70°F.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that mercury has a freezing point of -38°F and water has a freezing point of 32°F.
The difference between the freezing point of water and mercury is calculated below
Difference = freezing point of water - freezing point of mercury
Difference = 32 - ( -38)
Difference = 70°F
Therefore, the difference between the freezing point of water and mercury is 70°F.
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Sum is -4
It is an integer question
Answers
Answer:
Yes, this is an integer question.
solve 4(x-3) -2(x+1) =2
Answers
Answer:
8
Step-by-step explanation:
4(x-3) -2(x+1) =2
=> 4x - 12 - 2x - 2 = 2 [opening brackets]
=> 4x - 2x - 12 - 2 = 2
=> 2x - 14 = 2
=> 2x = 14 + 2
=> 2x = 16
=> x = 16/2
=> x = 8
4 ( x - 3 ) - 2 ( x + 1 ) = 2
2 ( x - 3 ) - ( x + 1 ) = 1
2x - 6 - x -1 = 1
2x - x = 1 + 6 + 1
x = 1 + 6 + 1
x = 7 + 1
x = 8
(-8\9×1\-5)+(-8\9×-7\11)= -8\9×(1\-5×-7\11)
Answers
[tex]( \frac{ - 8}{9} \times \frac{1}{ - 5} ) + (\frac{ - 8}{9} \times \frac{ - 7}{11} ) = \frac{ - 8}{9} \times ( \frac{1}{ - 5 } \times \frac{ - 7}{11} )[/tex]
[tex] \frac{ - 8}{9} = 0[/tex]
all like terms to be cancel = -0.888888please mark this answer as brainlist
12 more than x
algebra expression
Answers
Answer:
the expression + 12
Step-by-step explanation:
anything that has 'than' after it will be comparing "a" and "b" will be switched
a: 12
b: the expression
a more than b
it'll become
'b + a'
because its comparing both variables of which one is greater than the other in terms of quantity
Answer: 12 + x
Concept:
In mathematics, there are four general wordings for operations:
Addition (+): more than, adding toSubtraction (-): minus, less thanMultiplication (×): multiplied, the product of A and BDivision (÷): Divided by, the quotient of A and B, divideSolve:
Given expression
12 more than x
Find the corresponding operation
more than →→ refers to addition
(Refer to the list above)
Apply the operation to the expression
[tex]\boxed{12+x}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
What is the equation of the line in Ax + By = C form that passes through the points (1, -3) and (-5, 9)
Answers
Answer:
-2x-y=1
Step-by-step explanation:
steps are in the picture above.
Note:if you need to ask any question please let me know.
What is the difference between opposites and integer
Answers
Answer:
An integer is any positive whole number or its opposite. Here, opposite means sign. So a positive integer has a negative opposite and vice versa
Step-by-step explanation:
-5 and 5 are an example.
HELP please help help
Answers
Answer:
4778.4
Step-by-step explanation:
The volume of a cone is given by:
(π•r²•h)/3
(π•13²•27)/3
(π•169•27)/3
(4,563•π)/3
14,334.66/3=4778.4
＝π×13²×27×1/3
＝1521π
≈4778.36243
≈4778.4
Hope my answer helped u :)
Write the equation of the line that passes through the points (2, -6) and (8, -2).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answers
y + 6 = 2/3 (x - 2)
Step-by-step explanation:
Step 1. Find the slope
m = slope
m = change in y/change in x
m = (y2 - y1)/(x2 - x1)
points: (2, -6) & (8, -2)
m = (-2 - -6)/(8 - 2)
m = 4/6
m = 2/3
Step 2. Create the point-slope equation by using the slope and the first point
Point-slope formula: y - y1 = m(x - x1)
Where m = slope and (x1, y1) = first point
Point-slope form: y + 6 = 2/3 (x - 2)
PLEASE HELP
write and solve an equation to find the value of X. please explain in details and show your work!
Answers
Answer:
Ok. so let's teach you how to find the angles of a triangle. When you add all three sides, they must equal 180 degrees. Because of this, let's do some math. What is 96+35. Ima pretend you said 131 and so you would be right. Now let's subtract that from 180 degrees. 180-131 is 49 and so x is 49 degrees. Hope this helps!!
What is the value of this expression?
[tex]18 + (6 - 3)^{2} \div 3[/tex]
Choose the correct answer below.
A. 21
B. 19
C. 17
D. 9
Answers
Answer:
21 or A
Step-by-step explanation:
Brackets first: 6 - 3 = 3
Squared: 3^2 = 9
Now divide by 3 ÷ 3 = 9 ÷ 3 = 3
Finally add 18; 3 + 18 = 21
A teacher wants to find out the average number of weekly reading hours of her students. She noted the number of reading hours of 5 of her students as shown below:
6, 2, 5, 3, 4
Which measure of central tendency is most appropriate for this situation, and what is its value?
Only the median; 5
Only the mean; 4
Either the mean or median; both are 5
Either the mean or median; both are 4
Answers
Determine the x-intercept for 3x +2y=14
Answers
Answer:
([tex]\frac{14}{3}[/tex],0) or (4.6,0)
Step-by-step explanation:
3x+2y=14
3x+2·0=14 (An x-intercept's y-value is always 0, so substitute!)
3x+0=14
3x=14
x=[tex]\frac{14}{3}[/tex] or 4.6
khloe’s parents allow her to watch 8 1/2 hours of tv a week. so far this week she has watched 4 1/2 hours. how many hours does she have left?
Answers
Answer:
4
Step-by-step explanation:
8 1/2- 4 1/2 is 4
Enter the degree of the polynomial below:
9x2 + 3x8 + 6x + 586 -7x5
Answers
[tex] \large \mathfrak{Answer : }[/tex]
The degree of a polynomial is the highest power among its terms .
i.e 8 for the above expression :
9x² + 3x⁸ + 6x + 586 - 7x⁵
Round to the nearest thousandth.
-49.5176
Answers
Answer:
-49.518
This should suffice.
simplify the equation 5+4(8-6)^2
Answers
Answer:
21
Step-by-step explanation:
5+4(8-6)^2
5 + 4 (2)^2
5 + 4 (4)
5 + 16
21
Answer:
21
5+4(8-6)^2
5 + 4 (2)^2
5 + 4 (4)
5 + 16
=21
Hope this helps <3
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Order the numbers from least to greatest.
1.25, 11, -0.41, -0.41111..., -16, 3/7
Answers
Answer:
[tex] - 16 < - 0.41111... < -0.41 < \frac{3}{7} < 1.25 < 11[/tex]
Step-by-step explanation:
[tex] \frac{3}{7} = 3 \div 7 = 0.428...[/tex]
A t-shirt is on sale for 8% off. The price after the discount is applied is $27.60.
Find the original price of the t-shirt,
Answers
Find the equation of the
line in standard form with
slope m = - 1/3 and
passing through the point
(1, 1/3).
Answers
Answer:
y=-1/3 x +2/3
Step-by-step explanation:
all steps are in picture
1. Write the following numbers in words:
(a) 74 325 (b) 43 711 (c) 19 560
(e) 67 459
(1) 25 302
(g) 36 721
(1) 62 897 () 37 264 (k) 45 129
(d) 75 434
(h) 78 065
(1) 43 275
numerals
Answers
(B) 43,711 forty-three thousand seven hundred eleven
(C) 19,560 nineteen thousand five hundred sixty
(E) 67,459 sixty-seven thousand four hundred fifty-nine
(1) 25302 = twenty-five thousand three hundred two
(G) 36,721 thirty-six thousand seven hundred twenty-one
(1) 62,897 = sixty-two thousand eight hundred ninety-seven
() 37, 264 = thirty-seven thousand two hundred sixty-four
(K) 45,129 forty-five thousand one hundred twenty-nine
(D) 75,434 seventy-five thousand four hundred thirty-four
(H) seventy-eight thousand sixty-five
(1) 43, 275 = forty-three thousand two hundred seventy-five
Sum is -4
We should make a question to get this integer answer
please
Answers
Answer:
{4,8,3,7,2,6,1,5,9}
Step-by-step explanation:
this is the multiple of 4
and the sum of -4 is -4 + -4 = 8
Which of the following is equivalent to 3 up 4
7
81
12
64
Answers
Answer:
81.
If it wrong, then sorry.The difference of 5 times a number and 7 equals 53.
Translate
Answers
Answer:
difference means subtraction operation.
let the number be n :
[tex](5 \times n) - 7 = 53[/tex]
arrange the equation:
[tex]5n - 7 = 53[/tex]
______________________________________
---------------------------♦ end ♦----------------------------------
further more [ getting value of n ]
add 7 on all sides:
[tex](5n - 7) + 7 = 53 + 7 \\ 5n = 60[/tex]
divide all sides by 5:
[tex] \frac{5n}{5} = \frac{60}{5} \\ \\ n = 12[/tex]
Which equation is represented by the graph?
Answers
Answer: i think its 3
Step-by-step explanation:
i think its 3 not sure tho
What is the least three-digit whole number that has exactly five positive factors?
Answers
There is no three-digit whole number that has exactly five positive factors.
The prime factorization of a number with five factors will be of the form p⁴ or p²q, where p and q are distinct prime numbers.
p⁴:
The smallest prime number greater than or equal to 10 is 11.
So, let's consider 11⁴:
11⁴ = 14641 (which is a five-digit number)
p²q:
To minimize the number, we need the smallest prime numbers possible. The two smallest prime numbers greater than 10 are 11 and 13.
Let's consider the product of these two primes:
11² × 13 = 1573 (a four-digit number)
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