Answers
Answer:
Step-by-step explanation:
Let's break this down. The secant of a negative angle is the same as the secant of the positive angle. This is because secant is the inverse of cosine, and cosine is an even function. f(-x) = f(x) if the function is even, and f(-x) = -f(x) if the function is odd. Sine is odd and has symmetry about the origin; cosine is even and has y-axis symmetry.
Therefore, sec(-θ) = sec(θ) and we have then
sec(θ) - cos(θ). Since secant is the inverse of cosine, we can write:
[tex]\frac{1}{cos\theta}-cos\theta[/tex] and finding a common denominator:
[tex]\frac{1-cos^2\theta}{cos\theta}[/tex] and using a trig identity:
[tex]\frac{sin^2\theta}{cos\theta}[/tex] and simplify that down a bit by breaking it up:
[tex]\frac{sin\theta}{cos\theta}*sin\theta[/tex] finally boils down to
tanθ · sinθ, the last choice there.
Related Questions
What is the degree of -9x^5+3x^2+3-7x+10x^3
Answers
Answer:
5
Step-by-step explanation:
The degree is the highest power of x
The highest power of x is 5 so the degree is 5
Evaluate C=5/9(F−32) for F = 77 degrees.
Answers
Answer:
b:25
Step-by-step explanation:
77 degrees Fahrenheit is 25 degrees Celsius. So, the correct answer for the given equation is the second option.
An equation is a combination of two or more expressions separated by an equal sign(=), indicating that the expressions are equal to each other. The expressions, though, are a group of numbers, variables, mathematical operations, etcetera. An equation can be represented on the Cartesian plane.
The relation between Celsius and Fahrenheit is given by the following equation:
[tex]C =\dfrac{5}{9}(F-32)[/tex],
Substitute F = 77 to convert 77 degrees Fahrenheit to Celsius.
[tex]C =\dfrac{5}{9}(77-32)[/tex]
[tex]=\dfrac{5}{9}(77-32)\\=\dfrac{5}{9}\times45\\= 25[/tex]
Thus, the second option is correct.
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how to simplify: y=3x +38 -4x +19
Answers
Answer:
y = -x +57
Step-by-step explanation:
y=3x +38 -4x +19
Combine like terms
y = 3x-4x + 38 +19
y = -x +57
Answer:
y= -x+57
Step-by-step explanation:
[tex]\sf{}[/tex]
♛┈⛧┈┈•༶♛┈⛧┈┈•༶
✌️
convert 13 into binary numbers
Answers
Answer:
8 4 2 1
1 1 0 1
[tex]13_{ 10} = 1101_{ 2 }[/tex]
Step-by-step explanation:
———
1101
That’s gonna be your anwser
A sample is generated from a population of 20 items. Each of the 20 items are given a label, and a 20-sided die is rolled 3 times to determine which 3 items are in the sample. This is an example of a __________.
A. systematic sample
B. random sample
C. convenience sample
D. self-selecting sample
Answers
Answer:
Option B, random sample
it should be the answer
The given information is an example of a random sample. The correct option is B.
What is a random sample?In statistics, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. It is a method of choosing a sample at random.
It is given that A sample is generated from a population of 20 items. Each of the 20 items is given a label, and a 20-sided die is rolled 3 times to determine which 3 items are in the sample.
The above information is an example of a random sample. Follow the given definition above.
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Find the nth term of each of the sequences.
(a) 16, 19, 22, 25, 28, ...
(b) 1,3,9,27,81,...
Answers
Answer:
a) 16, 19, 22, 25, 28, 31, 34, 37, 40
b) 1, 3, 9, 27, 81, 243, 729, 2187
Explanation:a) Add 3 on every number.
b) Multiply every number by 3.
Solve x^3 = 1 over 8.
1 over 2
±1 over 2
1 over 4
±1 over 4
Answers
Answer:
x = 1/2
Step-by-step explanation:
x^3 = 1/8
Take the cube root of each side
x^3 ^ (1/3) = (1/8)^ (1/3)
Rewriting 8 as 2^3
x^3 ^ (1/3) = (1/2^3)^ (1/3)
x = 1/2
x³ = 1/8
8 can be written as 2³
x³ = 1/2³
(x)³ = (1/2)³
When exponents are same bases are taken and exponents are eliminated
x = 1/2
Hence, the required answer is 1/2ayudenme pls aaaaaaaaaaaaaaaaaaaaaaaaaaaa
Answers
Answer:
aslo bien jjjjjjj
Step-by-step explanation:
r/3 + 5 < 8
please help
Answers
Answer:
r<9
Step-by-step explanation:
r/3 + 5 < 8
Subtract 5 from each side
r/3 + 5-5 < 8-5
r/3 < 3
Multiply each side by 3
r/3 *3 <3*3
r<9
Mrs. barker works 40 hours per week regularly, at a rate of $36.80 per hour. when she works overtime, her rate is time and a half of her regular hourly rate. what is Mrs. Barker hourly overtime rate
Answers
Answer:
$55.20 is Mrs. Barker hourly overtime rate.
Step-by-step explanation:
The term "time and a half" in your question means that Mrs. Baker's overtime rate is 1.5 times her usual hourly rate.
So, ----> $36.80 times 1.5 = $55.20
The sequences below are either arithmetic sequences or geometric sequences. For each sequence, determine whether it is arithmetic or geometric, and write
the formula for the nth term e, of that sequence
Sequence
Type
term formula
(a) 13, 16, 19
Arithmetic
Geometric
(6) 2, 10, 50
Arithmetic
Geometrie
Sum
o
el
Answers
Answer:
a) Arithmetic yₙ = 3*(n - 1) + 13
b) Geometric yₙ = 2*5⁽ⁿ⁻¹⁾
Step-by-step explanation:
The formula for the nth term e, of that sequence is; yₙ = 3*(n - 1) + 13 and yₙ = 2*5⁽ⁿ⁻¹⁾
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:
a, a + d, a + 2d, ... , a + (n+1)d, ...
Its nth term is
T_n = a + (n-1)d
(for all positive integer values of n)
(a) 13, 16, 19
Here, yₙ = 3*(n - 1) + 13
This is an Arithmetic.
b) 2, 10, 50
Here, yₙ = 2*5⁽ⁿ⁻¹⁾
This is Geometric .
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What is the answer? Don’t give me 4.
Answers
Answer:
what?
Step-by-step explanation:
........................................................................
What is 51809 rounded to 1,2 and 3 significant figures?
PLSS HELP
Answers
Answer:
1 significant figure: 50,000 2 significant figures: 52,000 3 significant figures: 51,800
Step-by-step explanation:
FIrst, a significant figure is basically a non-zero digit (at least in your case). Basically, the 1 significant figure in your case would be to the nearest 10 thousand, which would be 50,000. Now, for 2 significant figures. This would be the nearest thousand, 52,000. Finally, 3 significant figures is to the nearest hundred, aka 51,800. Note: If you find a problem like this again 0 in between two digits that aren't 0 is a significant digit, aka the 0 in 51809. Hope this helped!
I need some help with math
#1 rewrite this in standard form, then state the center of the circle as an ordered pair and identify the radius. Show your work
y^(2)-14y+x^(2)-4x+37=0
#2 Write the equation of the circle with center (-2,15) and radius 3.
Answers
Answer:
[tex](y-7)^2+(x-2)^2=16[/tex]
and
[tex](x+2)^2+(y-15)^2 = 9[/tex]
Step-by-step explanation:
The standard equation of a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where the coordinate (h,k) is the center of the circle.
Second Problem:
We can start with the second problem which uses this info very easily.(h,k) in this problem is (-2,15) simply plug these into the equation. [tex](x--2)^2+(y-15)^2=r^2[/tex] .We can also add the radius 3 and square it so it becomes 9. The equation.This simplifies to [tex](x+2)^2+(y-15)^2 = 9[/tex].First Problem:
The first problem takes a different approach it is not in standard form. But we can convert it to standard form by completing the square.[tex]y^2-14y+x^2-4x+37=0[/tex] first subtract 37 from both sides so the equation is now [tex]y^2-14y+x^2-4x=-37[/tex].[tex]y^2-14y+x^2-4x+37=0[/tex] by adding [tex](-\frac{b}{2a} )^2[/tex] to both the x and y portions of this equation you can complete the squares. [tex](-\frac{b}{2a})^2=(-\frac{-14}{2(1)})^2[/tex] and [tex](-\frac{-4}{2(1)})^2[/tex] which equals 49 and 4.Add 49 and 4 to both sides and the equation is now:[tex]y^2-14y+49+x^2-4x+4=-37+49+4[/tex] You can simplify the y and x portions of the equations into the perfect squares or factored form [tex](y-7)^2[/tex] and [tex](x-2)^2[/tex].Finally put the whole thing together. [tex](y-7)^2+(x-2)^2=16[/tex].I hope this helps!
which of the following is a function
please help!!
Answers
Will Mark Brainnlest Please help me
Answers
Answer:
l = 2, m = - 1, n = - 6
Step-by-step explanation:
A scalar matrix has its diagonal elements equal and all other elements zero, so
2l - 4 = 0 ( add 4 to both sides )
2l = 4 ( divide both sides by 2 )
l = 2
---------------------------------------
3l + n = 0
3(2) + n = 0
6 + n = 0 ( subtract 6 from both sides )
n = - 6
--------------------------------------
3m - n = 3
3m - (- 6) = 3
3m + 6 = 3 ( subtract 6 from both sides )
3m = - 3 ( divide both sides by m )
m = - 1
the equation of the line that goes through the points (5,5) and is parallel to the line going through the points (-5,5) and (6,1) can be written in the form y=mx+b where m is and b is
Answers
Answer:
y = -4/11x + 75/11
Step-by-step explanation:
y2 - y1 / x2 - x1 1 - 5 / 6 - (-5) -4/11
y = -4/11x + b
5 = -4/11(5) + b
5 = -20/11 + b
75/11 = b
Need answers now. Not good with geometry or Algebra.
Answers
Answer:
x = 4.98
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 50 = x/6.5
6.5 sin 50 =x
x=4.97928
x = 4.98
1:4 of 2,500 what is it???
Answers
Answer:
40% of 2500=
100
40
×2500
=1000
Step-by-step explanation:
Write the calculation exactly as you say it:
The estimated product of 20.7 and 9.18, after rounding both factors to the nearest whole number,
is
.
Answers
Answer:
20.7 --> 21
9.18 --> 9
21x9 is 189, thus the estimated product is 189.
Let me know if this helps!
PLS HELP ME
Given that the universal set.
U = {X : 30 ≤ X ≤ 40. X is an even number}.
P = {X : X is a multiple of 4}
and Q = {X : X is a number such that the sum of its digits is an odd number}.
find n(P∩Q')
A. 1
B. 2
C. 3
D. None of the above
Answers
Given that
U = {X : 30 ≤ X ≤ 40. X is an even number}.
so Mathematically
U = {30,32,34,36,38 40}.
P = {X : X is a multiple of 4}
P = { 4,8,12,16,20,24,28,32,36,40,44,........}
and Q = {X : X is a number such that the sum of its digits is an odd number}.
Q = {12,14,16,18,21,23,25,27,29,30,32,34,36,38,41,43,45,..........}.
(Q')= U-Q ={40}
(P∩Q')= {40}
n(P∩Q')= 1
(Q') is Q complement which means a set containing those elements of the universal set which are not element of the set Q.
(P∩Q') is a set containing those elements of set P and Q complement which are common to both sets.
n(P∩Q') denotes the number of elements in a set containing those elements of set P and Q complement which are common to both sets which has only 1 element which is 40.
So the best answer is part A = 1.
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Which statement is true regarding the graphed functions
f(4)=g(4)
F(4)=g(2)
F(2)=g(-2)
F(-2)=g(-2)
Answers
When you are on the other side of the = you are opposite.
Find the equation of the linear function represented by the table below in slope-intercept form.
Need Help with this last question plz
Answers
Answer:
y = -3x-4
Step-by-step explanation:
First we find the slope
m = (y2-y1)/(x2-x1)
= (-16 - -7)/(4-1)
= (-16+7) /3
= -9/3
= -3
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -3x+b
Using a point
-10 = -3(2)+b
-10 = -6+b
-10+6 = b
-4 = b
y = -3x-4
Write down at least five number pairs to solve the equation vw = 50
Answers
Answer:
1, 50
2, 25
5, 10
10, 5
25, 2
Answer:
Step-by-step explanation:
V W
1 x 50 = 50
1.5 x 33 1/3 = 50
2 x 25 = 50
2.5 x 20 = 50
3 x 16 2/3 = 50
3.5 x 14 2/7 = 50
4 x 12 1/2 = 50
4.5 x 11 1/9 = 50
5 x 10 = 50
5.5 x 9 = 50
6 x 8 1/3 = 50
6.5 x 7 2/3 = 50
7 x 7 1/7 = 50
7.5 x 6 2/3 = 50
8 x 6 1/4 = 50
8.5 x 5 8/9 = 50
9 x 5 5/9 = 50
9.5 x 5 1/4 = 50
10 x 5 = 50
10.5 x 4 3/4 = 50
11 x 4 5/9 = 50
11.5 x 4 1/3 = 50
12 x 4 1/6 = 50
12.5 x 4 = 50
13 x 3 6/7 = 50
13.5 x 3 5/7 = 50
14 x 3 4/7 = 50
Answers plssssssssssssssssss
Answers
Answer:
3/2
Step-by-step explanation:
if u divide two fractions, it is same as multiplying with its reciprocal
The basic Parabola y = x2 is transformed to make y = (x – 5)2 +3. The
vertical translation is
a. Up
b. Down
c Left
d. Right
e. 3 Units
f. 5 Units
Answers
Answer:
a and f
Step-by-step explanation:
The transformation is 3 units up, which is concluded from the fact that there is a positive 3 meaning up. This also represents the y-intercept.
Hope this makes sense :)
*NEED AN ANSWER ASAP* My book didn’t explain how to solve these ones.
Answers
Answer:
1-2. AC = 13.6
BC = 8.9
3-4. A triangle such as the given value isn't possible
Anyone here that can help me with?
Answers
Answer:
D. 16 years old
Step-by-step explanation:
Step 1: Let T be Tien's age and J as Jordan's age (today),
[tex]T=\frac{1}{4}J[/tex]
Step 2: Let T be Tien's age and J as Jordan's age (in 2 years),
[tex]T+2=\frac{1}{3} (J+2)[/tex]
[tex]T=\frac{1}{3}(J+2)-2[/tex]
Step 3: As their age differences will always be similar we can have the two equations above equal to find Jordan's age,
[tex]\frac{1}{4} J=\frac{1}{3}(J+2)-2\\\frac{1}{4}J-\frac{1}{3}J=\frac{2}{3} -2 \\-\frac{1}{12}J= -\frac{4}{3} \\\\J=16[/tex]
How long would it take the car to travel a distance of 2 meters at this average speed?
Answers
Answer:
1 hour
Step-by-step explanation:
2 ÷2=1 speed divide by distance
Find $24.75 as a fraction of $70.
Give your answer in its lowest terms.
Answers
Answer:
99/280
Step-by-step explanation:
24.75/70
Multiply the top and bottom by 100
2475/7000
Divide the top and bottom by 25
99/280
Answer: $[tex]\frac{9.9}{28}[/tex]
Step-by-step explanation:
[tex]\frac{24.75}{70}[/tex] is the fraction.
First for convenience, let us convert the decimal into a whole number by multiplying both numerator and denominator by 100. This is not necessary and the final answer will be the same but doing this step will make it easier to divide.
{[tex]\frac{24.75 * 100}{70 * 100}[/tex]} = [tex]\frac{2475}{7000}[/tex]
Now, since it is not in its lowest form we need to simplify it.
For ease, we can find the HCF of 2475 and 7000 which is 25 and divide both numerator and denominator with it.
After simplifying, the final answer is [tex]\frac{99}{280}[/tex].
However we need to put back the decimal places.
Final answer is $[tex]\frac{9.9}{28}[/tex]
