Answers
Answer:
see explanation
Step-by-step explanation:
Using identities
sec²x = tan²x + 1
cosec²x = cot²x + 1
cos²x = [tex]\frac{1}{cos^2x}[/tex]
(1)
sin²θ + [tex]\frac{1}{sec^20}[/tex]
= sin²θ + cos²θ = 1
(2)
9sec²θ - 9tan²θ
= 9sec²θ - 9(sec²θ - 1)
= 9sec²θ - 9sec²θ + 9
= 9
(3)
- 8cot²A + 8cosec²A
= - 8cot²A + 8(cot²A + 1)
= - 8cot²A + 8cot²A + 8
= 8
(4)
- 10cosec²β + 10cot²β
= - 10(cot²β + 1) + 10cot²β
= - 10cot²β - 10 + 10cot²β
= - 10
Related Questions
are 46 and 105 relatively prime
Answers
Answer:
They are relatively prime.
Step-by-step explanation:
The prime factorization of 46 is 23 * 2, and the prime factorization of 105 is
3 * 7 * 5. Since there are no common factors, they are relatively prime.
There is no common prime number. Then the numbers 46 and 105 will be relatively prime.
What is relatively prime?When two quantities have just one similar, or if there is no additional value with the same quantity as one, you cannot divide them both and obtain zero as the remainder, two numbers are considered to be relatively prime.
The numbers are 46 and 105.
Then the factor of the number 46 will be
46 = 2 × 23
Then the factor of the number 105 will be
105 = 3 × 5 × 7
There is no common prime number. Then the numbers 46 and 105 will be relatively prime.
More about the relatively prime link is given below.
https://brainly.com/question/4703286
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clara has £7. she buys some chocolate bars at 63p each and has 7p left over. how many chocolate bars did she buy?
Answers
Answer:
11 bars
Step-by-step explanation:
Clara bought 11 chocolate bars. Let x be the number of chocolate bars Clara buys.
The cost of each chocolate bar is 63p, so the total cost of x chocolate bars is 63x pence.
After buying the chocolate bars, Clara has 7p left over.
Now we can write the equation:
Total money spent on chocolate bars + Money left over = Total money Clara has initially
63x + 7 = 700 (Since £7 is equivalent to 700p)
Now, let's solve for x:
63x = 700 - 7
63x = 693
x = 693 / 63
x = 11
To know more about chocolate bars:
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Help me please I’ll reward you brainly
Answers
Answer:
D. pi
Step-by-step explanation:
pi is irrational because you cannot express its value in a simple fraction
:)
PLEASE HELP ME (GIVING BRANLEST)
A bank teller s two customers. Jerry makes a $20
withdrawal, so his balance changes by -$20. Hank makes
a $5 deposit, so his balance changes by $5.
Use absolute value to show the size of each transaction. Which transaction
involves more money?
O A. Hank’s deposit involves more money, because -20 is greater than
5.
O B. Hank’s deposit involves more money, because 1-20 is greater than
151
O C. Jerry’s withdrawal involves more money, because 1-20 is greater
than 51
O D. Jerry’s withdrawal involves more money, because 1-20 is less
than 151
Answers
Jerry's withdrawal involves more money because |-20| is greater than |5|
The vertical bars represent absolute value.
======================================================
Explanation:
Absolute value is the distance a number is from 0. I recommend drawing out a number line. You should see that -20 is further from zero compared to 5.
So this is a visual representation of why Jerry is dealing with more money. You can think of the positive version of each value, which is effectively what absolute value is doing, when comparing the values.
-20 becomes 205 stays at 5We see that 20 > 5, so Jerry is dealing with more money even though he's losing it rather than gaining it.
Need help ASAP! Directions in picture ;)
Answers
< (4x + 8) + < 72° = 180°
Combine like terms:
4x + 80 = 180°
Subtract 80 from both sides:
4x + 80° - 80° = 180° - 80°
4x = 100
Divide both sides by 4 to solve for x:
4x/4 = 100/4
x = 25
To verify whether the value of x is correct, substitute its value into the equality statement:
< (4x + 8)° + < 72° = 180°
< [4(25) + 8]° + < 72° = 180°
< (100 + 8)° + < 72° = 180°
< 108° + < 72° = 180°
180° = 180° (True statement. Therefore, the correct answer is x = 25).
Please mark my answers as the Brainliest if you find this helpful :)
Normal curve A has a wider distribution than Normal curve B. The distribution A must has ____________.
A. a smaller mean
B. a larger standard deviation
C. a smaller standard deviation
D. a larger mean
Answers
The distribution A must has a smaller standard deviation. So, option C is correct.
What does "normal" describe in statistics?Normal usually refers to the word "normal" in normal distribution.
The normal distribution is somewhat similar where the main observation (mean or its surrounding) occurs frequently and as we go far from mean, its chances decrease.
If we've got a normal distribution, then we can convert it to a standard normal distribution and its values will give us the z score.
If we have
[tex]X \sim N(\mu, \sigma)[/tex]
(X is following a normal distribution with mean and standard deviation )
then it can be converted to a standard normal distribution as
[tex]Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)[/tex]
Normal curve A has a wider distribution than Normal curve B.
The distribution A must has a smaller standard deviation.
Learn more about normal distribution here:
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Find all points on the x-axis 8 units from the point (3,-4).
Answers
Answer:
Is this a graph problem?
Step-by-step explanation:
(-0.2)3x 27/1.6 + 0.105
Answers
Answer:
-10.02
Step-by-step explanation:
(-0.2)3×27/1.6 + 0.105-0.6×27/1.6+0.105-10.125+0.105-10.02(x^5-4x^3+4x^2)/(x-4)
Answers
Answer:
(x^5-4x^3+4x^2)/(x-4) = x⁴ + 4x³ + 12x² + 52x + 208 R 832 (or + 832/(x-4))
Step-by-step explanation:
x-4=0 x=4
x⁴ x³ x² x¹ x⁰
4 | 1 0 -4 4 0 0
| 4 16 48 208 832
_______________________
1 4 12 52 208 832
(x^5-4x^3+4x^2)/(x-4) = x⁴ + 4x³ + 12x² + 52x + 208 R 832
Is y=0.4x a proportional equation?
Answers
Someone help plz make sure it’s right will mark brainiest:)
Answers
Answer: y=2/5x+1
Step-by-step explanation: (5,3) 2/5
y=mx+b
3=2/5(5)+b 2/5x5=10/5=2
3=2+b
3-2=b
1=b
answer : y=2/5x+1
Help needed please! *will mark as brainliest if correct
Answers
find the midpoint of the line segment join R(-5,3) S(1,6)
Answers
Answer:
(-2,9/2)
Step-by-step explanation:
x=(-5+1)/2
-4/2
-2
y=(3+6)/2
9/2
Midpoint=(x,y)
What is a cubic polynomial function in standard form with zeros 3 –2 and 2
I really need help with this. At least just a nudge.
Thanks
Answers
Answer:
x^3 - 3x^2 - 4x + 12
Step-by-step explanation:
Okay, so let's work backwards.
3, -2, 2 are the zeros, so we can use these numbers write the equation in factored form. (For right now, as a placeholder, I'll let y = 0)
(x - 3)(x + 2)(x - 2) = 0
If you want to check this, you can insert each of the zeros into the expression with a constant of the opposite sign.
So now, we can just expand the factored form. (I'll be doing this one equation at a time)
(x - 3)(x + 2) = x^2 + 2x - 3x - 6 = x^2 - x - 6
(x^2 - x - 6)(x - 2) = x^3 - 2x^2 - x^2 + 2x - 6x + 12 = x^3 - 3x^2 - 4x + 12
So,
The equation in standard form is x^3 - 3x^2 - 4x + 12
(Don't take my word for it though, now that I've told you how, feel free to do it on your own)
Equation of line p is y=x+7. Equation of a is y=-x+11. Prove that the lines are perpendicular
Answers
Answer:
The Answer is provided in the explanation!
Step-by-step explanation:
The lines are perpendicular because in both of the equations, the x variables are inverses. Meaning, that y=x+7, the x is positive, and y=-x+11, the x is negative. This shows that the slopes of both equations are 1, meaning the graph will have an X shape, provide that lines are perpendicular because they have an inverse of the same slope!
Help me with this please its algebra 1a
Answers
Answer:
answer choice A
Step-by-step explanation:
you make two equations.
Analyzing factors please help lol
Answers
Answer:
The second and last statement are true.
Step-by-step explanation:
f(0)=1/2(0)+3/2 = 3/2
f(4) =1/2(4)+3/2 = 7/2
Someone help me with this I will make you brain
Answers
Answer:
Its the last one D
Step-by-step explanation:
pls mark brainliest
what does product of prime numbers mean
Answers
Answer:
product means addition. So the product of prime numbers would be all of them added together.
Step-by-step explanation:
Can I have brainliest pls Deku?
*i'm muslim 2 btw ;)
Which type of data would be best displayed in a box plot?
Answers
Answer:C
Step-by-step explanation: option C, The number of votes received by each of four candidate can be best displayed in a box plot.
Explanation:
We need to find which type of data can be displayed in a box plot from the given options.
The box plot can used to show the shape of a distribution, the lower value , higher value , the central value, and its variability.
The graph shows how the values of the data are spread out .It is the distribution of numerical data. Box plot can be used to compare multiple groups .
So, the answer can be option C
2[-3(2*-1 + 3-8 + 42) - ½(20-10 - (-3))
Answers
Answer:
[tex]-\frac{433}{2}[/tex]
Step-by-step explanation:
Change: 2[-3(2*-1 + 3-8 + 42) - ½(20-10 - (-3))
To: 2[-3(2*-1 + 3-8 + 42) - ½(20-10+3)
Multiplication calculation: 2 * (-3 x 35) [tex]-\frac{1}{2}[/tex] * 13
Multiply again: 2 * (-105) [tex]-\frac{13}{2}[/tex]
Calculate: -210 [tex]-\frac{13}{2}[/tex]
Answer: [tex]-\frac{433}{2}[/tex]
I hope this help you! :D
Answer:
-238
Step-by-step explanation:
2(-3(2^-1+3-8+42)-1/2(20-10-(-3))=
2(-3(1/2+37)-1/2(10+3)=
2(-3(1/2+37)-1/2(13)=2(-3(75/2)-13/2)
=2(-225/2-13/2)
2(-238/2)= -238
17 x \frac{3}{7}[/tex]
Answers
Among us
Lollllllllllllllllll
Answer:
[tex]7 \frac{2}{7} [/tex]
Step-by-step explanation:
multiply 17 by
[tex] \frac{3}{7} [/tex]
it amounts to
[tex] \frac{51}{7} [/tex]
convert it to a mixed fraction
[tex]7 \frac{2}{7} [/tex]
help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
5
Step-by-step explanation:
Pick two points, so for example (1,2) and (3,12)
the formula for slope is (y2-y1)/(x2-x1)
plug in your coordinates
(12-2)/(3-1)
10/2
5
Answer:
slope (m) = 5
Step-by-step explanation:
(slope)
m = y2-y1 / x2 -x1
Take any of the arbitrary points and plug them into your slope formula.
Let's use (-1,-8) and (1,2) since they are not large numbers (it's easier this way).
-1 (x2) , -8 (y2)
1 (x1) , 2 (y1)
m = -8 - (2) / -1- (1)
= -10/-2
m =5
What is the equation of the graphed line written in
standard form?
X =-3
y=-3
X+y=-3
x-y=-3
Answers
This is because the line is through the x axis
Answer:
i tis b my dudes
say the the line above with an accent it was not a typo
Step-by-step explanation:
jesus loves you!!!!!
Help pls, Write in Cardinal form
1. A= {x : x is an odd number between 1 and 10 }
2. B= { 7,14,21,28,... 77 }
3. C= {x:x is an even number below 20 }
4. D= {x:x is a vowel in the English alphabet }
5. E= { x : x is a prime number below 5 }
6. F= { 1,2,3,4,... 100}
7. G = { 2,4,6,8,10,12 }
8. H = { x ∈ N , 5
9. I = { x ∈ N , x < 10 }
10. J = { x ∈ N , x<50 }
Answers
Answer:
A: 1,3,5,7,9
B {x:x is a multiplier of 7}
C: 18,16,14,12,10,8,6,4,2,0
D: A E I O U Y
E: 1,2,3
F:{x:x is a number between 1 and 100}
G: {x:x is an even number between 2 and 12}
H (not sure sorry)
I: 1,2,3,4,5,6,7,8,9
J:1,2,3,4...49
7(x-2) = 3(x+4)? Please help soon!
Answers
So
7x-14= 3x+ 12
Then subtract the x value from one side and move it to the other
Example
7x-14=3x+12
-3x. -3x
Therefore you’d have
4x-14=12
then move your negative 14
4x-14=12
+14 +14
4x=26
Divide both sides by 4
X=6.5
Answer:
x=6.5
Step-by-step explanation:
7(x-2)=3(x+4)
Step 1. Distribute
7x-14=3x+12
Step 2. Combine like terms and calculate
4x=12+14
Step 3. Divide 4 on both sides
4x=26
Solution:
x=6.5
Hope this helps! :)
If you filp a coin twice, what is the probability that you will get heads both times?
Answers
Answer:
If you flip a coin twice there are 4 different possible combinations:
HT
HH
TH
TT,
The probability of getting heads twice is C 1/4
Answer:
1/4
Step-by-step explanation:
flipping and getting heads 1 time is 1/2 chance so 2 times is 1/4 chance
The length of a rectangle is 3 meter shorter than3 times its width.Find the length and width if the perimeter is 210 meters
Answers
Answer:
length = 78 m , width = 27 m
Step-by-step explanation:
let w represent width then length l = 3w - 3
the perimeter (P) is calculated as
P = 2l + 2w = 210 , substitute values
2(3w - 3) + 2w = 210 ← distribute parenthesis and simplify left side
6w - 6 + 2w = 210
8w - 6 = 210 ( add 6 to both sides )
8w = 216 ( divide both sides by 8 )
w = 27 and l = 3(27) - 3 = 81 - 3 = 78
Then length = 78 m and width = 27 m
Find the unknown sizes of angles in the following figure (please explain it):
Answers
Answer:
x = 56
MKL = 56
KML= 63
MLK = 61
Step-by-step explanation:
We know that the sum of the interior angles of a triangle = 180 degrees.
So, x+ (x+7)+ ( x+5) = 180
3x+ 12= 180
3x= 180-12 = 168
168/3 = x
therefore, x= 56 degrees.
So MKL = 56
KML= 56+ 7 = 63
MLK = 56+5 = 61
Find the value of 7p – 3q when p= 8 and q = -5
Answers
Step-by-step explanation:
7p – 3q
if p= 8 and q = -5
7(8)-3(-5)
56+15
=71
Answer:
71
Step-by-step explanation:
7(8)-3(-5)
56-(-15)
71