Answers
9514 1404 393
Answer:
π/4, 7π/4
Step-by-step explanation:
Adding √2 and dividing by 2 makes the equation ...
cos(θ) = (√2)/2
The first-quadrant solution is ...
θ = arccos((√2)/2) = π/4
The angle in the 4th quadrant with the same reference angle will have the same cosine value.
θ = 2π -π/4 = 7π/4
The two solutions are θ = π/4, 7π/4.
Related Questions
Imagine looking for a certain angle whose cosine is positive and whose sine is negative.
Part 1: Name the two quadrants in which cosine is positive.
Part 2: Name the quadrants in which sine is negative.
Part 3: Use the information in parts a and b to identify the quadrant in which cosine is positive and sine is negative.
Part 4: Write down one angle, in degrees, that has a negative sine and a positive cosine.
Part 5: Using your calculator, confirm your choice by writing the cosine of your angle and the sine of your angle below.
Answers
The two quadrants in which cosine is positive are the first quadrant (Q1) and the fourth quadrant (Q4).
How to explain the informationPart 2: The quadrants in which sine is negative are the third quadrant (Q3) and the fourth quadrant (Q4).
Part 3: Based on the information from parts 1 and 2, the quadrant in which cosine is positive and sine is negative is the fourth quadrant (Q4).
Part 4: One angle that has a negative sine and a positive cosine in the fourth quadrant is 135 degrees (or 3π/4 radians).
Part 5: Using a calculator, we can confirm the values of cosine and sine for 135 degrees:
Cosine of 135 degrees: cos(135°) ≈ -0.7071 (rounded to four decimal places)
Sine of 135 degrees: sin(135°) ≈ -0.7071 (rounded to four decimal places)
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How many years will it take for your salary to be $105,000 per year?
Answers
Answer:
simple answer in edmentum
Step-by-step explanation:
Use the elimination method to solve the system of equations.Choose the correct ordered pair. -x + y -2 , 2x -3y = 4
Answers
Answer:
To use the elimination method one coefficient of either x or y must be the same number with opposite signs, so the ordered pair is (-10, -8)
Step-by-step explanation:
2(-x+y=2) Make one of the coefficients equal, with opposite signs.
2x-3y=4 Combine equations.
-y=8 Solve, y=-8
Then find x, -x-8=2
-x=10, so x= -10
(-10, -8) is your answer.
Phoebe is 3 years less than half her brother’s age. Phoebe is 13 years old. Her brother is b years old. Write an equation that could be used to find her brother’s age.
plzzzzzz help
Answers
Answer:
dont know dont care
Step-by-step explanation:
u should pay more attention to what you lesson/teacher is teaching you
Find the GCF of 2m^5 and 28m4
a. 28m^4
b. m^4
c. 2m^4
d. 2m
Answers
Hi there, hope everyone is well and staying cool :D
Pls can you answer this question!
Brainliest, brainliest, brainliest.................
Pls send me your name first, then i will call you brainliest
The quickest and right answer gets to be brainliest and the rest I will thank you
ENJOY!!!!!!!!
Answers
Answer:
A) By using the Pythagorean Theorem, we will see that [tex]8^2 + 15^2 = 17^2[/tex]. If we simplify it, we will find that the hypotenuse of Δ[tex]ABC = 17[/tex]
B) approximately [tex]18.79[/tex]
Step-by-step explanation:
A) In all honesty, you don't really need to look at ΔACD at all for this one. Just use the Pythagorean Theorem (like previously stated) and solve!
***Pythagorean Theorem is [tex]leg^2 + leg^2 = hypotenuse^2[/tex]
B) Here, you can also use the Pythagorean Theorem! However this time, the equation will be, [tex]8^2 + 17^2 = AD[/tex].
[tex]8^2 + 17^2 = 64 +289[/tex][tex]64 + 289 = 385[/tex][tex]\sqrt{385} \\[/tex] ≈ [tex]18.79[/tex]Hope you do well on the rest of your math problems :D
You are cutting pieces of fabric for a craft project. You need three pieces that measure 6 2/3 inches, 4 1/2inches, and 3 5/8inches.
What is the total length of fabric that you need ?
Answers
Answer:
You need 14 19/24 inches of fabric
Step-by-step explanation:
We'll need a common denominator between 2/3, 1/2, and 5/8. 24 is the least (lowest) common denominator.
3 x 8 = 24, so we multiply the numerator and denominator by 8 and 6 2/3 becomes 6 16/24ths
2 x 12 = 24, so we multiply the numerator and denominator by 12, and 4 1/2 becomes 4 12/24
8 x 3 = 24, so we multiply the numerator and denominator by 3, and 3 5/8 becomes 3 15/24.
Now we are adding 6 16/24 + 4 12/24 + 3 15/24
6 16/24 + 4 12/24 + 3 15/24 = 6 + 4 + 3 + 16/24 + 12/24 + 15/24
= 13 + 43/24 = 14 19/24
Please lmk if you have questions.
Maria needs to be at the airport terminal at 18:45. It will take 2 3/4 hours to drive to the airport from her home, and a further 40 minutes to park and get to the terminal.
What is the latest time she should leave home?
Give your answer as a time in the 24-hour clock.
Answers
Answer:
18:45
Step-by-step explanation:
The amount of revenue for a business can be modeled by the function
H(t) = 8400(3)2. Write an equivalent function of the form H(t) = ab'.
Answers
Answer:
Step-by-step explanation:
Which number completes the inequality? 2/3
Answers
Answer: it’s 3/4
Step-by-step explanation: you have to make the Denominator equal for all of them In order to be able to compare. So if you make the denominator equal to 36 you then have to multiply the numerator by the same number you did for the denominator. Once doing that you will find that 24/36 < 27/36 < 28/36
Plz brainliest.
Evaluate r^2−s^2, when r=12 and s=5.
Answers
Step-by-step explanation:
Given r = 12, s = 5,
[tex] {r}^{2} - {s}^{2} = {12}^{2} - {5}^{2} \\ = 144 - 25 \\ = 119[/tex]
Which of the following functions is graphed below?
15
10
5
o
5
-8
-6
-4
-20
N
4
6
od
.
5
Answers
(15, 10)-00=n4
substitute all the characters and then you will get (-4, 20)
William says that 15years from now his age will be 3 times his age 5 years ago if x represents williams present age complete the following sentences
Answers
Answer:
Is the question complete
PLS HELP WILL GIVE BRAINLIEST IVE BEEN ASKING FOREVER :(((((
Answers
Answer:
__C) 0.36
Step-by-step explanation:
4÷11= 0.36363636363636
so it's 0.36 with a line over it indicating a repeating decimal
This solid was created by joining two right rectangular prisms.
7 cm
9 cm
5 cm
4
4 / 3cm
12 cm
Enter the volume of the solid in cubic centimeters.
Answers
Answer: 648
Step-by-step explanation:
The area of a rectangular deck is 680 square feet. The deck's width is 17 feet. What is the length?
Answers
Answer:
40
Step-by-step explanation: im sorry i dont know how to explain but hope this helps!
Answer:
ik what ur doing
Step-by-step explanation:
thsdpgiojojotnhtofkghbtnkjwalhbwgjknhbwthjgl;n: it is A aka 40 ft
9. Dawn has 338 peanuts and 13 boxes. If she wants to pack an equal number of peanuts in each box, how many peanuts will there be in each box?NO HACKERS AND I NEED ANSWERS QUICK
Answers
Answer:
26 in each box
Divide the total of 338 peanuts by 13 boxes (338÷13=26)
Which point represents the opposite of —5 on the number line?
Answers
Answer:
5 :)
Step-by-step explanation:
Sarah is going to invest $280 and leave it in an account for 9 years. Assuming the interest is compounded continuously, what interest rate, to the nearest tenth of a percent, would be required in order for Sarah to end up with $410?
Answers
Answer:
4.2%
Step-by-step explanation:
Solve the equation. Find all real solutions.
9r3 - 144r = 0
Answers
Answer:
r=0
Step-by-step explanation:
9r x 3 - 144r = 0
27r-144r=0
-117r=0
r=0
Help please will mark brainliest
Answers
Answer:
9.9
Step-by-step explanation:
4.8 x 2 = 9.6
29.5 - 9.6 = 19.9
19.9/2 = 9.95
round up
9.9
Answer:
10 I think
Step-by-step explanation:
p=. RS. 200, R= 6%per six months. T= 3years
Answers
Answer:
36
Step-by-step explanation:
200×3×6/100 =36.is the ans
someone please help me answer this!!
Answers
Answer:
7.8 mi is the answer.
Step-by-step explanation:
a = 6 mi
b = 5 mi
c = ?
According to the Pythagorean theorem,
a² + b² = c²
6² + 5² = c²
36 + 25 = c²
c² = 61
c = 7.810
Round to the nearest tenth,
c = 7.8 mi
Solve for u. -5u/8=-10
Answers
Answer:
u 16
Step-by-step explanation:
solve the equation
3b/7 -1 = 5
Answers
Answer:
b = 14
Step-by-step explanation:
The required solution to the equation 3b/7 - 1 = 5 is b = 14.
What is simplification?Simplification involves directions of arithmetic and algebra to remove disproportionate terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve. For example, simplifying an algebraic expression might involve combining like terms, factoring, or using the distributive property
Here,
To solve for b, we need to isolate b on one side of the equation.
First, we add 1 to both sides of the equation to get:
3b/7 = 5 + 1
Simplifying the right-hand side:
3b/7 = 6
Next, we multiply both sides by 7/3:
(7/3) * (3b/7) = (7/3) * 6
Simplifying:
b = 14
Therefore, the solution to the equation 3b/7 - 1 = 5 is b = 14.
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Please help I'll give brainliest
Answers
Answer:
m∠A = 130
Step-by-step explanation:
Here, In a given figure
m∠A = 2x - 30°
Now, we know that the sum of all angle is 180° on a straight line
So,
2x - 30° + 50° = 180°
2x + 20° = 180°
2x = 180° - 20°
2x = 160°
x = 160° ÷ 2
x = 80°
Here, we get the value of x is 80°
Now,
m∠A = 2x - 30°
m∠A = 2(80°) - 30°
m∠A = 160° - 30°
m∠A = 130
Thus, m∠A = 130
-TheUnknownScientist
Solve for x: wx-x=d
w does not equal 1
PLEASE HELP NEED ASAPPP WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWERRRR
Answers
Answer:
x=w/1+yz
Step-by-step explanation:
Hope this helped!
Can someone help me?
Answers
In the formulae below, make x the subject:
1. a) P = 2mx
Answers
Answer:
x = P/2m
Step-by-step explanation:
x is the subject of the formula, and we can express it as: x = P / (2m)
How make x the subjectTo make x the subject in the formula P = 2mx, we can rearrange the equation to isolate x on one side.
Starting with the equation:
P = 2mx
To solve for x, divide both sides of the equation by 2m:
P / (2m) = (2mx) / (2m)
This simplifies to:
P / (2m) = x
Therefore, x is the subject of the formula, and we can express it as:
x = P / (2m)
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Convert 80 liters into gallons. Round your answer to the nearest tenth.
Answers
Answer:
21.13 US gallons
Step-by-step explanation:
. _ .
Answer:
21.1338 rounded to the nearest tenth is 21.10
Step-by-step explanation: