An angle that shares the same sine value of an angle that measures 5pi/4 radians is located where?
Answers
Substitute 180 for pi.
(5 x 180) / 4
900 / 4
= 225 degrees
Now, the angle that has the same sin value of 225 is the angle's reference angle, or the angle that it makes with the x-axis.
225-180 = 45
45 is the angle that shares the same sin value
Answer: 45 degrees
Hope this helps :)
Answer:
quadrant 1
Step-by-step explanation:
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(2^-5) ____= 2^-15
Answers
(x^m)^n=x^(mn)
(x^-5)^n=2^-15
-5 times n=-15
divide both sides by -5
n=3
(x^-5)^3=2^-15
answe is 3
Answers
Answer:
p is 16 and N is 49.
Step-by-step explanation:
Answer:
p = 16
n = 49
Step-by-step explanation:
p + n = 65
p + 3.55n = 189.95
To solve this system of equations, you have to use substitution. This means that you have to set one equation equal to one of the variables. You then have to substitute that variable into the second equation.
Rearrange the first equation so that it equals p.
p + n = 65
p = 65 - n
Substitute the p-value into the second equation.
p + 3.55n = 189.95
(65 - n) + 3.55n = 189.95
Solve for n.
65 - n + 3.55n = 189.95
65 + 2.55n = 189.95
(65 + 2.55n) - 65 = 189.95 - 65
2.55n = 124.95
(2.55n)/2.55 = 124.95/2.55
n = 49
Use this n-value to solve for p. You can pick whichever equation you want to solve for p and get the same answer. I will use the first answer.
p + n = 65
p + 49 = 65
(p + 49) - 49 = 65 - 49
p = 16
There are 16 pounds of almonds and 49 pounds of cashews.
Answers
answer is A. 12y
Answer: 12y
Step-by-step explanation:
Answers
Answer:
The next three terms of the sequence are 182.3, 273.5 and 410.3 respectively (all rounded to the nearest tenth value)
Step-by-step explanation:
A geometric sequence is one in which successive members are multiples of a constant common ratio.
From the sequence, we can identify that;
First term a = 36
common difference = 2nd term/first term = 3rd term/second term = 4th term/3rd term
Hence, common difference d = 54/36 = 81/54 = 1.5
The next three terms of the sequence are the 5th, 6th and 7th term respectively.
For the 5th term, we have 4th term × common ratio = 121.5 × 1.5 = 182.3
For the 6th term, we have 5th term × common ratio = 182.3 × 1.5 = 273.5
For the 7th term, we have 6th term × common ratio = 273.5 × 1.5 = 410.3
Answers
Answer:
The power function and the root function
Step-by-step explanation:
Let's consider each function in turn.
Power function
y = xⁿ
For every value of x, there is a corresponding value of y.
There are no asymptotes.
Reciprocal
y = 1/x
The y-axis is an asymptote, because x cannot equal 0. y ⟶ ∞ as x ⟶ 0₊ and y ⟶ -∞ as x ⟶ 0₋
Similarly, the x-axis is an asymptote, because there is no finite value of x for which y = 0.
Exponential
The x-axis is an asymptote, because y can never be negativeand y ⟶ 0
as x ⟶ -∞.
Logarithmic
The y-axis is an asymptote, because x cannot be negative and logx ⟶ -∞ as x ⟶ 0.
Root
y = \sqrt[5]{x}
There can be no negative value of x, but there is a value of y for every positive value of x.
Thus, there is no asymptote.
The power function and the root function have no asymptotes.
Answer:
Step-by-step explanation:
The graph of the power function has no asymptotes. Check this one.
The graph of the reciprocal function DOES have asymptotes, both vertical and horizontal. Do not check this function.
The graph of an exponential function has one asymptote, which is the line y = 0 (that is, the x-axis). Do not check this function.
The graph of a log function has one asymptote, which is the line x = 0 (that is, the y-axis). Do not check this function.
The root function does not have asymptotes. Check this function.
Answers
Answer:
75 + 64 = 139
Step-by-step explanation:
The measure of the exterior angle is 139
Answer:
2= 139
Step-by-step explanation:
A triangle is 180 degrees.
64+75= 139
180-139=41
A line is also 180 degrees
180- 41= 139