Answer:
[tex]to \: know \: the \: answer[/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
Hope this helps !!Trigonometric identities are used to prove or disprove trigonometric ratios
The trigonometry identity is given as:
[tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex]
Simplify the trigonometry identity, as follows:
[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]
This is so because:
[tex]\cos(\pi + x) = -\cos(x)[/tex]
[tex]\cos(-x) = \cos(x)[/tex]
[tex]\sin(\pi -x) = \sin(x)[/tex]
[tex]\cos(\frac{\pi}{2} + x)} = -\sin(x)[/tex]
So, we have:
[tex]\frac{-\cos(x) \cos(x)}{\sin( x) \cdot - \sin( x)} = \cot^2x[/tex]
Evaluate the products
[tex]\frac{-\cos^2(x)}{-\sin^2(x)} = \cot^2x[/tex]
Cancel out the common factors
[tex]\frac{\cos^2(x)}{\sin^2(x)} = \cot^2x[/tex]
Rewrite the trigonometry identity, as follows:
[tex](\frac{\cos(x)}{\sin(x)})^2 = \cot^2x[/tex]
In trigonometry,
[tex]\frac{\cos(x)}{\sin(x)} = \cot x[/tex]
So, we have:
[tex](\cot(x))^2 = \cot^2x[/tex]
Remove the bracket
[tex]\cot^2x = \cot^2x[/tex]
The above equation is true.
Hence, [tex]\frac{\cos(\pi + x) \cos(-x)}{\sin(\pi - x) \cos(\frac{\pi}{2} + x)} = \cot^2x[/tex] has been proved
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a and b are two similar solids. the volume of a is 400cm^3
work out the volume of b
Answer:
1350 cm³
Step-by-step explanation:
we have given that,
• Height of A = 10 cm.
1350
• Volume of A = 400cm³.
• Height of B = 15 cm.
• Both A and B solids are similar.
from above told concept we get,
→ V(A) / V(B) = (Height of A)³ / (Height of B)³
Putting all given values we get,
→400/ V(B) = (10)³/(15)³
→400/V(B) = (1000/3375)
→ V(B) = (400*3375) / 1000
→ V(B) = (4 * 3375) / 10
→ V(B) = 1350 cm³. (Ans.)
Hence, Volume of B will be 1350 cm³.
2. Which identity could be the missing step to verify the identity (cos e )(csce)=cote? (1 point)
1
cose
= cote
seca
1
cos e
= cote
sin
1
sin e = cote
csce
cos e
= cote
tan
Answer:I hope it helps to you it's so important to you right♡
The identity could be the missing step to verify the identity
(cosФ)(cscФ) = cotФis, (cosФ)(1/sinФ) = cotФ.
What are periodic functions?A periodic function has a range that is determined for a fixed interval and a domain that includes all real number values.
Any function that has a positive real integer p such that f (x + p) = f(x), with all x being real values, is said to be periodic.
We know, sin/cos = tan = 1/cot = cos/sin.
Given, (cosФ)(cscФ) = cotФ.
We know, sin = 1/csc.
Therefore,
(cosФ)(cscФ) = cotФ.
cosФ×1/sinФ = cotФ.
cosФ/sinФ = cotФ.
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Study and Learn
pasagutan plss..
sum of 5r and 7, divided by 15
Answer: 7r/3
Step-by-step explanation:
5r*7/15 = 35r/15 = 7r/3
4x²-8xy
factorise completely
Answer:
4x (x - 2y)
Step-by-step explanation:
Pull out what factors they both have and put it outside the parentheses, put the rest inside after dividing.
The factoring of the algebraic form 4x² - 8xy is 4x(x - 2y).
INTRODUCTION~Algebraic Forms and their ElementsAlgebraic form is a mathematical form whose presentation involves symbols or letters to represent unknown numbers.
Elements of Algebra:1. Variables, Constants and Coefficients
Pay attention to the algebraic form 3x + 2y + 3
From the algebraic form above, x and y are variables (variables), while the number 3 is a constant. A variable is a substitute symbol for a number whose value is not clearly known. While constants are terms of an algebraic form in the form of numbers and do not contain variables.
And what is meant by the coefficient is the constant factor of a term in algebraic form. The coefficient on the 3x term is 3, on the 2y term it is 2.
2. Terms and Factors
» The term is part of the algebraic form which is limited by the operation of addition (+) or difference (-). The term one is an algebraic form that is not connected by the operation of addition or difference.
Example: 2x, 2a², -4xy, . . .
» Term two is an algebraic form that is connected by an operation of sum or difference.
Example: 2x + 3, a² - 4, 3x² - 4x, . . .
» Similar terms in algebraic form are terms that have the same variable and the same power.
Example:
2a is similar to 3a, 4a, etc.
» Factors are part of the algebraic form that is restricted to multiplication operations.
Example: 5n = 5 × n, 5 and n are factors of 4n, respectively.
Calculation Operations on Algebraic Form1. Addition and subtraction of algebraic forms can only be done on similar terms.
2. Multiplication and division of algebraic forms.
Multiply two terms by constants or variables.
Example:
3 (4y + 5)
= (3 × 4y) + (3 × 5)
= 12y + 15
Division of two terms with a variable or constant, for example:
(8y+4)/2 = 8y/2 + 4/2 = 4y + 2
DISCUSSION4x² - 8xy
= 4xx - 8xy
= 4xx + 2 × 4xy
= 4x (x - 2y)
Conclusion:So, The factoring of the algebraic form 4x² - 8xy is 4x(x - 2y).
Learn More:(mampir ke indo:v)
Algebraic subtraction material: https://brainly.co.id/task/35216852Algebraic arithmetic operations: https://brainly.co.id/task/26250852The equation of the value of x in algebraic form: https://brainly.co.id/task/42124780_____________
Answer Details:Class: 7 Middle SchoolSubject: MathMaterial: Chapter 2.1 -Operations of Algebraic FormsCategorization Code: 7.2.2.1Keywords: Factor algebraEvaluate 5−1/−90. Write your answer as a fraction in simplest form.
Answer:
2/-45
Step-by-step explanation:
5-1 = 4
4/-90 = 2/-45
Hope that helps
The height of a tennis ball tossed into the air is modeled by h(x) = 40x â€" 16x 2, where x is elapsed time in seconds. During what time interval will the tennis ball be at least 15 feet above the ground? x > 0. 5 seconds and x > 2. 04 seconds x > 0. 5 seconds and x ≤ 2. 04 seconds x ≥ 0. 5 seconds and x > 2. 04 seconds x ≥ 0. 5 seconds and x ≤ 2. 04 seconds.
The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.
Given that,
The height of a tennis ball tossed into the air is modeled by,
[tex]\rm h(x) = 40x - 16x^2[/tex]
Where x is elapsed time in seconds.
We have to determine,
During what time interval will the tennis ball be at least 15 feet above the ground?
According to the question,
The height of a tennis ball tossed into the air is modeled by,
[tex]\rm h(x) = 40x - 16x^2[/tex]
Where x is elapsed time in seconds.
Then,
When the tennis ball be at least 15 feet above the ground,
[tex]h(x) = 15[/tex]
Substitute the value of h(x) in the equation,
[tex]\rm h(x) = 40x - 16x^2\\\\ 15 = 40x - 16x^2\\\\ 16x^2-40x+15=0[/tex]
Factorize the equation for finding the time interval will the tennis ball be at least 15 feet above the ground is,
[tex]\rm 16x^2-40x+15= 0\\\\x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\x = \dfrac{-(-40)\pm \sqrt{(-40)^2-4 \times 16 \times 15}}{2 \times 16}\\\\x = \dfrac{-(-40)\pm \sqrt{1600- 960}}{32}\\\\x = \dfrac{40\pm \sqrt{640}}{32}\\\\x = \dfrac{40 + 25.29}{32} \\\\x = \dfrac{40 + 25.29}{32} \ and \ x = \dfrac{40 - 25.29}{32}\\\\x = \dfrac{65.29}{32} \ and \ x = \dfrac{14.71}{32}\\\\x = 2.04 \ and \ x = 0.45[/tex]
Hence, The time interval x >0.5 and x > 2.04 will the tennis ball be at least 15 feet above the ground.
For more details about Inequality refer to the link given below.
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GEOMETRY QUESTION NEED HELP ASAP 20 POINTS
Answer:
24 units
Step-by-step explanation:
I dont know if im right but hope this helps!
convert the following
1. 0.3 m
2. 37 cm
3. 3.3 cm
4. 4,000 dm
5. 6 hm
6.0.441 L
7. 24.96 L
8. 1,915 ml
9. 13.8 kg
10. 1,698 9
Answer:
I dont need
Step-by-step explanation:
what to convert
Dress:$35.99 tax:6.75%
Answer:
38.14 but if rounded up it becomes 38.15
Simplify the question
Find the solution set for 15 + 6y > 0, y ∈ . Represent the solution set on the number
line.
Step-by-step explanation:
6y>0-15 collect like term
6y=-15 calculate the difference
y=-15/6 convert to lowest form
y=-5/2
i hop it helps you ❤
expand the following by removing the brackets
-2 (3x + 4)
m ( my -3)
Answer:
-6x-8
m^2y-3m
Step-by-step explanation:
For the first one we simply need to multiply both figures in the bracket by the outer number.
For the second one we do the same thing but as there is an "m" in the bracket and an "m" outside the bracket, this makes a square "^2" which is essentially a figure multiplied by itself.
Write one way you can read the time. Like 3:55
first is 3:56
And is three fivety six
Could someone help please
Step-by-step explanation:
1. x/3-2=6
x-6=18
x=18+6
x=24
2. x/5+1=5
x+5=25
x=25-5
x=20
Answer:
x = 24 , x = 20
Step-by-step explanation:
(a)
[tex]\frac{x}{3}[/tex] - 2 = 6 ( add 2 to both sides )
[tex]\frac{x}{3}[/tex] = 8 ( multiply both sides by 3 to clear the fraction )
x = 24
(b)
[tex]\frac{x}{5}[/tex] + 1 = 5 ( subtract 1 from both sides )
[tex]\frac{x}{5}[/tex] = 4 ( multiply both sides by 5 to clear the fraction )
x = 20
List the ordered pairs
Step-by-step explanation:
C. in descending order by weight<br /><br />
HELP IVE BEEN STUCK ON THE SAME QUESTION NOBODY WILL HELP ME I CANT CALM DOWN HELP ME
Hello! :p
[tex]\sqrt{-8}[/tex] = [tex]2i\sqrt{2}[/tex]
[tex]\sqrt{-36}[/tex] = [tex]6i[/tex]
[tex]\sqrt{-5}[/tex] = [tex]i\sqrt{5}[/tex]
I hope you do well on your assignment! I also hope this helps! :)
MY HEAD IS HURTING I BEG FOR YOUR HELP. I WILL MARK BRAINLIST!!
Answer: No association
Step-by-step explanation:
There is absolutely no pattern going on. This means that the miles ran per week are not really affecting the standing heartbeat. Therefore, I'd say there is no association.
what is 1/8 divided by 2 3/4?A 1/32B 2 1/3C 1/22D 2 1/2
Answer: It is letter C. 1/22
Step-by-step explanation:
Change 2 3/4 to an improper fraction to get 11/4, then multiply 1/8 by the reciprocal of 11/4 which is 4/11.
1/8 x 4/11= 4/88
4/88 simplified = 1/22
What is the slope of the following line?
Answer:
1/2
Step-by-step explanation:
becase 1(0,0) 2(2,1) = 1/2
Goran bought a sofa on sale for $172.80. This price was 36% of the original price.
What was the original price?
Answer:
$270
Step-by-step explanation:
So Big G gets a great deal on a sofa...$172.80...the original price has to be higher, right? He (? She?) got 36% off...This means that they DID NOT pay 36%, but they DID pay 64% (bc 36 + 64 = 100%)
SO, you need to change percents to decimals to work with them in an equation. Let p be the original price. Original price times 64% will equal the sale price.
.64p = 172.80
DIVIDE BY .64
p = 270
You can check it using the 36% ---
270 × .36 = 97.2
The discount is $97.20
270 - 97.20 = 172.80✅
The original price for Goran's sofa was $270.00
A package of Oreos typically contained 45 cookies. Recently, Nabisco reduced the number to 39 cookies in a package because of inflation! What is the percent of change?
Answer:
Percentage of change - 15.4% (simplified)
Step-by-step explanation:
15.384%
RSM problem solve it please for me
hello! :p
area of shape one is 12
and area of shape to is 36
In not 100% sure but I thought I could try to help! Don't take my word for it though. :) Have a wonderful day!
I AM ON MY LAST BRAINLY POINTS! NOBODY WILL HELP ME T-T! EVERYBODY SENDS ME RANDOM LINKS! IF U HELP ME U CAN GET THE CROWN
David mixed 5 3/8 cups of popcorn with 3 5/8 cups of pretzels. He then divided the snack into bags with 2/3 cups in each. After dividing, how many bags of snack bags will David have?
Answer: 13.5 bags
Explanation:
5 3/8 = 43/8
3 5/8 = 29/8
43/8 + 29/8 = 9
9 divided by 2/3 is 13.5
Hope this helps :)
Answer:
[tex]13 \frac{1}{2} [/tex]
Step-by-step explanation:
So first we can add the two snack together
So the
[tex]5 \frac{3}{8} + 3 \frac{5}{8} = 9[/tex]
Once we have that we can say 9÷2/3
And this will give us 13.5 or 13 and a half.
I really hope this helps
May is going to the grocery store to buy bananas and oranges. The bananas can only be purchased in groups of 65 and the oranges can only be purchased in groups of 5. If May wants to buy the same amount of bananas and oranges, then what is the lowest quantity of bananas that May can buy?
Answer:
65
Step-by-step explanation:
65 is a multiple of 5, so May can purchase 1 group of 65 bananas and 13 groups of 5 oranges to have 65 of each.
Convert:
a) 5810 to base 2
b) 101112 to base 10
Step by step would be awesome
I suppose you mean to convert 58₁₀ to base 2, and not 5810₁₀ to base 2.
Write 58 as the sum of the largest powers of 2 that you can:
58 = 32 + 26
58 = 32 + 16 + 10
58 = 32 + 16 + 8 + 2
58 = 2⁵ + 2⁴ + 2³ + 2¹
58 = 1×2⁵ + 1×2⁴ + 1×2³ + 0×2² + 1×2¹ + 0×2⁰
⇒ 58₁₀ = 111010₂
To convert from base 2 to base 10, write out and simplify the decimal expansion as in the last line of the previous example.
10111₂ = 1×2⁴ + 0×2³ + 1×2² + 1×2¹ + 1×2⁰
10111₂ = 16 + 0 + 4 + 2 + 1
⇒ 10111₂ = 23₁₀
#a
[tex]\\ \sf\Rrightarrow (58)_{10}[/tex]
[tex]\\ \sf\Rrightarrow (2+8+16+32)_{10}[/tex]
[tex]\\ \sf\Rrightarrow (2^1+2^3+2^4+2^5)_{10}[/tex]
[tex]\\ \sf\Rrightarrow 0(2^0) 1(2^1)+0(2^2)+1(2^3)+1(2^4)+1(2^5)[/tex]
[tex]\\ \sf\Rrightarrow (111010)_2[/tex]
#b
[tex]\\ \sf\Rrightarrow (10111)_2[/tex]
[tex]\\ \sf\Rrightarrow 1\times 2^0+1\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]
[tex]\\ \sf\Rrightarrow 1+2+4+16[/tex]
[tex]\\ \sf\Rrightarrow (23)_{10}[/tex]
60 is 15% of what number?
Answer:
400 is the number
Step-by-step explanation:
Is means equals and of means multiply
60 = 15% * W
Change to decimal form
60 = .15W
Divide by .15
60/.15 = .15W/.15
400= W
I will give 100 points for 5 questions
Answer:
1. SSS
2. SAS
3. SAS
4. 1?
5. SSS
Step-by-step explanation:
Jenna walks 12 miles in 5 days. Alex walks 15 miles in 6 days. Who walks more miles per day? Show your work to prove your answer.
Answer:
Alex walked more
Step-by-step explanation:
Jenna: 12/5= 2.4
alex: 15/6=2.5
what is -150 + -12 =?
Answer:
-162
Step-by-step explanation:
Answer:
your answer is -162
Step-by-step explanation:
if you owe someone 150 dollars and then you owe them another 12 dollars you'll owe them a total of 162 dollars. Your losing 162 dollars which is -162 form the amount that you have