Answer: Another angle ϕ between 0∘ and 360∘ that has the same cosine as 71∘ is approximately 288.99∘.
Step-by-step explanation:
To obtain another angle ϕ between 0∘ and 360∘ that has the same cosine as 71∘, we can use the fact that the cosine function has a period of 360∘.
This means that the cosine of an angle and the cosine of that angle plus a multiple of 360∘ are equal.
To obtain ϕ, we can use the following formula: cos(ϕ) = cos(71∘ + 360∘k) where k is an integer.
We want to get the smallest positive value of k that gives an angle between 0∘ and 360∘.
Using a calculator, we can obtain the cosine of 71∘:cos(71∘) ≈ 0.309.
Now we can solve for ϕ:cos(ϕ) = cos(71∘ + 360∘k)ϕ = ±acos(cos(71∘ + 360∘k))
We want to get the value of k that makes ϕ between 0∘ and 360∘.
Since cos(71∘) is positive, we can take the positive value of the arccosine function:ϕ = acos(cos(71∘ + 360∘k))
We can use a table of cosine values to find the value of ϕ. Since cos(71∘) is positive, ϕ is either in the first or fourth quadrant. In the first quadrant, ϕ is equal to 71∘.
In the fourth quadrant, the cosine function is positive between 270∘ and 360∘, so we can add 360∘k to 71∘ to get a positive angle:ϕ = acos(cos(71∘ + 360∘k)) ≈ 288.99∘
Therefore, another angle ϕ between 0∘ and 360∘ that has the same cosine as 71∘ is approximately 288.99∘.
Learn more about angles here, https://brainly.com/question/25716982
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finding value of x. PQR
P- 2x°
3
3
3
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Equilateral Triangles.
Since, we know that, all the sides of a triangle are equal, hence it is a Equilateral triangle.
Equilateral triangle has one all angles equal to 60°.
so, major angle P = 60°
hence, 2x=60°
===> x = 30°
The number 6545 can be written as a product of a pair of positive two digit integers. What are these two integers?
Answer:
77 and 85
Step-by-step explanation:
Since the number 6545 ends in a 5, we can assume that one of the two digit numbers ends in a 5. I tried 55, 65, 75, and 85, and I just divided 6545 by those numbers until I got a two-digit positive integer as my answer,
85 * 77 = 6545
Therefore, the answer is 85 and 77.
I hope this helps!
Evaluate the following expression when x = 5. -4x^2 + 3x + 12
Answer:
-73
Step-by-step explanation:
-4(5)^2+3(5)+12
5^2=25
25*-4=-100
-100+15+12=-73
Which values of a and b make the following equation true?
Answer:
a=11 , b=7
Step-by-step explanation:
When integer multiply with integer, the base were same, then we just add both powers.
for example
[tex]x {}^{2} \times {x}^{3} = {x}^{2 + 3} = {x}^{5} [/tex]
-2 + b < 3
.............
Answer:
I believe we are solving for b. b<5
Step-by-step explanation:
Solve 3(x - 2) < 18.
What is x?
Answer:
x < 8
Step-by-step explanation:
First you divide 18 by 3, which gives you 6.
x − 2 < 6
Then, you add 2 to 6, which gives you 8, which leaves you with :
x < 8
:)
Answer:
X<8
Step-by-step explanation:
Distribute the 3 to get 3x-6<18. Then add the 6 to 18 leaving 3x<24. Then divide 24 by 3 to leave x by itself. x<8
I hope this helped! :)
The sum of two numbers is 12. The product of those same two numbers is -64. Find the numbers.
Answer: The answer for the 2 numbers are 16 and -4.
Step-by-step explanation: 16 + (-4) is 12, and 16 x (-4) is -64.
4(x - 9) plz answer quickly
Answer:
4x - 36
Step-by-step explanation:
7/8m^3 +3-1/2m^3. can u please help me solve this
Answer:
3m^3/8 + 3
Step-by-step explanation:
It can't be solved but that's the most simplified version.
Answer:
15/8m^3
Step-by-step explanation:
7/8m^3+2/2m^3
7/8m^3+1/m^3
=15/8m^3
Which shows the distributive property?
1. 5x + 2 = 2 + 5x
2. 5(x + 2) = 5x + 10
3. 5(x + 2) = 5(2 + x)
solve each equation by substituting. y=-3x+5
5x-4y=-3
not different problems they are in the same problem
Answer:
(1, 2 )
Step-by-step explanation:
Given the 2 equations
y = - 3x + 5 → (1)
5x - 4y = - 3 → (2)
Substitute y = - 3x + 5 into (2)
5x - 4(- 3x + 5) = - 3 ← distribute and simplify left side
5x + 12x - 20 = - 3
17x - 20 = - 3 ( add 20 to both sides )
17x = 17 ( divide both sides by 17 )
x = 1
Substitute x = 1 into (1) for corresponding value of y
y = - 3(1) + 5 = - 3 + 5 = 2
solution is (1, 2 )
Answer:
x = 1 and y = 2
Step-by-step explanation:
y + 3x = 5 -------------> (1)
-4y + 5x = -3 -------------> (2)
(1) * 4
=> 4y + 12x = 20 --------> (3)
(3) + (2)
=> 0y + 17x = 17
=> 17x = 17
by dividing both sides by 17
=> x = 1
by putting x = 1 into (1)
=> y + 3*1 = 5
=> y + 3 = 5
=> y = 5 - 3
=> y = 2
cuántos encuentros son necesarios para una entrevista completa
Pls help me with this math problem
Answer:
12 ima shoot u
Step-by-step explanation:
A water rocket is launched froni a platform. The height,
h in metres, of the water rocket at time & seconds after
it is launched is h= -212 + 74 + 4. When does the water
rocket hit the ground?
Answer:
4.41seconds later
Step-by-step explanation:
Let the equation of the height reached by the water front be h = -2t^2+7t+4
The water hits the ground at h =0
Substitute
0 = -2t^2+7t+4
-2t^2+7t+4 = 0
2t^2 - 7t - 8 = 0
t = 7±√(-7)²-4(2)(-8)/2(2)
t = 7±√49+64/4
t = 7±√113/4
t = 7±10.63/4
t = 7+10.63/4
t = 17.3/4
t = 4.41s
Hence the water hit the ground 4.41seconda later
Which of the following expressions are equivalent to 5(m + 3)? hurryy
Answer:
B 5m + 15
Step-by-step explanation:
Use the distributive property and multiply 5 by both terms inside the parentheses.
5(m + 3) = 5 * m + 5 * 3 = 5m + 15
Answer: B 5m + 15
B. Draw any pictures showing the ratios of:
1. 2 to 5
2.6 to 8
3.4 to 7
4.3 to 9
Given g(x) = -5x+ 2, find g(4).
Answer:
Answer:
-18
Step-by-step explanation:
g(x)=-5x+2
g(4)=-5(4)+2=-20+2=-18
Answer:
-18
Step-by-step explanation:
A. Linear
B. Exponential
C. Neither
the output is double the input
this is just for fun ong sooo yeaaa **delete spaces**
https://meet. go ogle. com/vqk-wfjs-dsa
Answer:
im fanna join
Step-by-step explanation:
the supplement of a 65° angle has a measure of
Answer:
115 degrees
Step-by-step explanation:
supplementary angles add up to 180 degrees, so if x is the angle you're trying to have you get:
[tex]x + 65 = 180\\x = 115[/tex]
NEED HELP ASAPPPPPP PLZZZZZ
Right one paragraph on
What is factoring by using GCF?
Answer:
GCF is the largest factor that all terms have in common.
Order the following from LEAST to GREATEST: 3/5, -1/2, 0.50, -7/10, -0.75 *
Answer:
-0.75, -7/10, -1/2, 0.50, 3/5
Answer:
-0.75, -7/10, -1/2, 0.50, 3/5
Step-by-step explanation:
put all of them as a decimal first
3/5 = 0.6 (5)
-1/2 = -0.50 (3)
0.50 = 0.50 (4)
-7/10 = -0.70 (2)
-0.75 = -0.75 (1)
1) Resolva as expressões numéricas. Não esqueça de deixar os cálculos.
a) 2 + 8-3-5 + 15 =
b) 12 + (35 - (10 + 2) +2] =
c) [(18+32) + 8 +5 3] + 6 =
d) 37 + (-25 - (-11 + 19 - 4)] =
e) 60 = {2 • (-7 + 18 = (-3 + 12)]} - [7 • (-3) - 18 = (-2) + 1) =
f) -8 +{-5 + [(8-12) + (13 + 12)] - 10) =
Answer:
a=17
b=37
c=117
d=8
e=
f=-2
If you are making broccoli cheese soup the ratio of cheese to broccoli to broth is 5:6:10 if there is 100 parts broth how many of each ingredient should you use
Answer: See explanation
Step-by-step explanation:
Since there are 100 parts broth, the number to use for each ingredients will be:
Cheese = 5 × 100/10 = 5 × 10 = 50
Broccoli = 6 × 100/10 = 6 × 10 = 60
Broth = 100
A package weighs 32 ounces. What is the weight of the package in pounds
Answer:
2 pounds
Step-by-step explanation:
1 pound=16 ounces
3÷1 1/4
i need to know ASAP and i need to know how to do it
Answer:
2.4 or 2[tex]\frac{2}{5}[/tex]
Step-by-step explanation:
Let's set this up:
We have 3/1[tex]\frac{1}{4}[/tex]
That's also 3/1.25
For division, we don't divide if there is a fraction, so we move the decimal place over to the right for both the numbers
300/125
Then you long divide as normal:
And it's really hard to show how to long divide on a computer so I'm just going to go ahead and assume you know how to.
But the answer to that would be 2.4 or 2[tex]\frac{2}{5}[/tex]
Thank you, let me know if you have any questions.
A local little league has a total of 60 players, of whom 40% are left-handed. How many left - handed players are there?
Answer:
24 players
Step-by-step explanation:
Answer:
24. 60 X 4/10 is 24
Step-by-step explanation:
what is the equation?
Answer:
y=22x
Step-by-step explanation:
If x=1 and y=22 then y=22x
(07.02)
How many solutions can be found for the equation 4x+5=10?
A. Zero
B.One
C. Two
D.Infinitely Many