Answer:
See below.
Step-by-step explanation:
I'm going to use what I assume is the correct question.
[tex] \dfrac{1 - \sin x}{\cos x} = \dfrac{\cos x}{1 + \sin x} [/tex]
[tex] \dfrac{\cos x}{\cos x} \times \dfrac{1 - \sin x}{\cos x} = \dfrac{\cos x}{1 + \sin x} [/tex]
[tex] \dfrac{\cos x(1 - \sin x)}{\cos^2 x} = \dfrac{\cos x}{1 + \sin x} [/tex]
Now use the identity
[tex] sin^2 x + cos^2 x = 1 [/tex]
[tex] cos^2 x = 1 - sin^2 x [/tex]
We replace [tex] \cos^2 x [/tex] in the left denominator.
[tex] \dfrac{\cos x(1 - \sin x)}{1 - \sin^2 x} = \dfrac{\cos x}{1 + \sin x} [/tex]
Factor the difference of squares in the left side denominator.
[tex] \dfrac{\cos x(1 - \sin x)}{(1 + \sin x)(1 - \sin x)} = \dfrac{\cos x}{1 + \sin x} [/tex]
[tex] \dfrac{\cos x}{1 + \sin x} = \dfrac{\cos x}{1 + \sin x} [/tex]
Given that the quadrilateral is a parallelogram,
QS = 5x – 5 and RT=2x + 13, what is RT?
Answer:
25
Step-by-step explanation:
5x-5 = 2x+13
5x-2x = 13+5
3x = 18
x = 6
RT = 2(6) + 13 =25
Read the proof. Given: m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° Prove: △HKJ ~ △LNP Triangles H K J and L N P are shown. Triangle L N P is smaller and to the right of triangle H K J. Statement Reason 1. m∠H = 30°, m∠J = 50°, m∠P = 50°, m∠N = 100° 1. given 2. m∠H + m∠J + m∠K = 180° 2. ? 3. 30° + 50° + m∠K = 180° 3. substitution property 4. 80° + m∠K = 180° 4. addition 5. m∠K = 100° 5. subtraction property of equality 6. m∠J = m∠P; m∠K = m∠N 6. substitution 7. ∠J ≅ ∠P; ∠K ≅ ∠N 7. if angles are equal then they are congruent 8. △HKJ ~ △LNP 8. AA similarity theorem Which reason is missing in step 2? CPCTC definition of supplementary angles triangle parts relationship theorem triangle angle sum theorem
Answer:
The correct option is;
Triangle angle sum theorem
Step-by-step explanation:
Statement [tex]{}[/tex] Reason
1. m∠H = 30° m∠J = 50°, m∠P = 50° m∠N = 100°[tex]{}[/tex] Given
2. ∠H + m∠J + m∠K = 180° [tex]{}[/tex] (Triangle angle sum theorem)
3. 30° + 50° + m∠K = 180° [tex]{}[/tex] (Substitution property)
4. 80° + m∠K = 180° [tex]{}[/tex] (addition)
5. m∠K = 100° [tex]{}[/tex] (subtraction property)
6. m∠J = m∠P; m∠K = m∠N [tex]{}[/tex] (substitution)
7. m∠J ≅ m∠P; m∠K ≅ m∠N[tex]{}[/tex] If angles are equal then they are congruent
8. ΔHKJ ~ ΔLNP [tex]{}[/tex] [tex]{}[/tex] AA similarity theorem.
Answer:
Triangle angle sum theorem
Step-by-step explanation:
Which names are other ways to name angle 1?
Writing and Solving an Equation to Find Negative Integers Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two integers
Answer:
-23
Step-by-step explanation:
Let first negative integer = x
The second = x +5
Their product = 126, hence,
x * (x +5) = 126
x^2 + 5x = 126
x^2 + 5x - 126 = 0
Two numbers whose product gives - 126 and sun gives 5
x(x + 14) - 9(x+14) =0
(x - 9) = 0 or (x + 14) = 0
x = 9 or x = - 14
Since x is said to be a negative integer,, the our x = - 14
First integer = - 14
Second integer = (x + 5) = (-14 + 5) = - 9
Sum of both integers :
-14 + - 9 = - 23
Answer:
-23
Step-by-step explanation:
Doing it on EDG right now!
Can confirm that the person above me is correct!
Wish you all luck :)
11. A bus currently has three passengers,
Crew, Marty and Blakely. Marty's age is 1.5
times Crew's age. Blakely's age is .75 times
Crew's age. If the sum of the three ages is
104, find the age of each passenger.
Crew :
Marty:
Blakely:
Answer:
Crew: 32
Marty: 48
Blakely: 24
Step-by-step explanation:
I mainly just used guess and check. Crew is 32 years old. So, let's find Marty's age.
32 × 1. 5 = 48
Marty is 48. Now, let's find Blakely's age.
32 × 0.75 = 24
Add all the ages together.
32 + 48 + 24 = 104
Hope that helps.
Crew's age is 32, Marty's age is 48 and Blakey's age is 24
Let :
c represent Crew's age
m represent Marty's age
b represent Blakely's age
From the question, the following can be derived
m = 1.5c
b = 0.75c
m + b + c = 104
Substitute for m and b in the above equation
c + 1.5c + 0.75c = 104
3.25c = 104
divide both sides of the above equation by 3.25
c = 104 / 3.25
c = 32
Substitute for c in the equations that represent Marty and Blakely's age
m = 1.5c
m = 1.5(32)
m = 48
b = 0.75c
0.75(32)
b = 24
To learn more, please check : https://brainly.com/question/20758742?referrer=searchResults
-5а - 12а + 2b - 3Ь
Answer: Hi!
To simplify this expression, we will combine like terms.
-5a - 12a + 2b - 3b
-5a - 12a = -17a
2b - 3b = -1b
Our equation now looks like this:
-17a - 1b
We have nothing left to simplify, so we're done!
Hope this helps!
Find the indicated area under the curve of the standard normal distribution; then convert it to a percentage and fill in the blank. About ______% of the area is between z = − 2 and z = 2 (or within 2 standard deviations of the mean).
Answer:
95.44%
Step-by-step explanation:
We can find the percentage of area lies within 2 standard deviations of mean by computing P(-2<Z<2).
So,
P(-2<Z<2)=P(-2<Z<0)+P(0<Z<2)
Using normal area table P(0<Z<2)=0.4472. So,
P(-2<Z<2)=0.4472+0.4772
P(-2<Z<2)=0.9544
Thus, the 95.44% of area lies within 2 standard deviations of mean.
1-40.
A line passes through the points A-3, -2) and B(2, 1). Does it also pass through the point
C(5,3)? Justify your conclusion. 1-10 HW Jool (Desmos). Homework Help
I
Answer: No it does not .
Step-by-step explanation:
First use the coordinates of point A and B to write an equation.
A (-3,-2)
B(2,1)
We will need to use these points to find the slope first and by doing that we will find the difference in the y values and divide it by the difference in the x values.
-2-1= -3
-3-2 = -5
-3/-5= 3/5
The slope is 3/5 and now we need to find the y intercept using the same points. As you can see the equation will have to be in slope intercept form which uses the formula y=mx+b where m is the slope and b is the y-intercept.
We will plot the first points in and solve for b.
-2=3/5(-3) + b
-2= -9/5 + b
+9/5 +9/5
b = -1/5
We will now write the equation y=3/5x - 1/5 .
Now using the equation try point c to see if it fits the graph.
Point C is (5,3) so again plot in the x and y coordinates and solve,
3= 3/5(5) - 1/5
3 = 3 - 1/5
3[tex]\neq[/tex] 14/5
In this case 3 does not equal 14 over 5 so Point c does not fit the graph
Which numbers in set ={,,,,,,,,,}eh equals left brace 1 comma 2 comma 3 comma 4 comma 5 comma 6 comma 7 comma 8 comma 9 comma 10 right brace are elements in both the subset of odd numbers and the subset of multiples of 3?
Answer:
the answer is: [tex]\{3, 9\}[/tex]
Step-by-step explanation:
Given a set:
Let S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
Two subsets,
One subset of odd numbers:
A = {1, 3, 5, 7, 9, 11, 13, 15, 17, ......}
Other subset of multiples of 3:
B = {3, 6, 9, 12, 15, .....}
To find:
Which number in set S are elements in both A and B.
So, we need to find intersection of A and B provided the number is between 1 to 10 (1 to 10 are the elements of S).
First of all, let us have intersection (i.e. common elements) of A and B:
[tex]A\cap B = \{3, 9, 15, 21, ......\}[/tex]
Now, the numbers between 1 to 10 are:
[tex]\{3, 9\}[/tex]
So, the answer is: [tex]\{3, 9\}[/tex]
Tristan got in the elevator at level 2. He then went 5 floors down towards the parking garage. Finally he went back up 6 floors and got out of the elevator. On which floor did Tristan exit the elevator?
Answer: 1st floor
Step-by-step explanation:
From the descriprion Tristan got in the elevator on the second floor (2nd). He went five floors down toward the Parking garage this meant at the end of the journey he was on the seventh (7th) floor of the building. He went back of six (6) More floors before existing the elevator this would put Tristan on first (1st) floor of the building.
Order the numbers from least to greatest.show your work by changing all numbers into standard form
0.0000375
37.5x10^5
3.75x10^9
3.75x10^-3
37,500,000
Answer:
0.0000375, 3.75x10^-3, 37.5x10^5, 37,500,000, 3.75x10^9
Step-by-step explanation:
0.0000375
37.5x10^5 = 37.5 * 100,000 = 3,750,000
3.75x10^9 = 3.75 * 1,000,000,000 = 3,750,000,000
3.75x10^-3 = 3.75 * 0.001 = 0.00375
37,500,000
Answer:
0.0000375
3.75x10^-3
37.5x10^5
37,500,000
3.75x10^9
Simplify 12 to the 16th power over 12 to the 4th power. 1212 124 112 14
Greetings from Brasil...
Here's our problem:
[tex]\large{\frac{12^{16}}{12^{4}}}[/tex]
From potentiation properties:
Mᵃ ÷ Mᵇ = Mᵃ⁻ᵇ
division of power of the same base: I repeat the base and subtract the exponents
Bringing to our problem
12¹⁶ ÷ 12⁴
12¹⁶⁻⁴
12¹²Answer:
[tex]12^{12}[/tex]
Step-by-step explanation:
Find the difference of (3x^2 – 5x + 7) and (x^2+ 2x - 1).
a. Is 3x^2 – 5x + 7 a polynomial? If not, give an explanation.
b. Is x^2+ 2x – 1 polynomial? If not, give an explanation.
c. Is the difference a polynomial? If not, give an explanation.
d. If the difference is a polynomial, identify the constant term.
Answer:
Step-by-step explanation:
A polynomial is a mathematical expression in sum of powers with one or more variables multiplied by coefficients.
a) 3x² - 5x + 7 is a polynomial
b) x² + 2x - 1 is a polynomial
c) 3x² - 5x + 7 - [x² + 2x -1 ]= 3x² - 5x + 7 - x² - 2x + 1
{add like terms} = 3x² - x² - 5x - 2x +7 +1
= 2x² - 7x + 8
2x² - 7x + 8 is a polynomial
d) Constant term = 8
=
can you help me find this answer
Answer:
a= 18 girls in the class, b= 20 boys and 15 girls, 12 oranges better price.
Step-by-step explanation:
for question a, there are 18 girls in the class, this is how i worked it out:
the ratio of boys to girls is 4:3.
there are 24 boys.
24 is 6 times more than 4.
if boys are 6 times more than the original ratio, we also have to times the amount of girls by 6.
6x3= 18.
for question b i got 20 boys and 15 girls, this is how i did it.
there are 35 students in total.
4:3= boys to girls.
4+3=7
7 goes into 35 five times.
ratio of boys to girls is 4:3 so 5x4 for boys = 20 and 3x5 for girls = 15.
answer= 20 boys and 15 girls.
12 oranges is a better deal, this is how i worked it out.
it is 60 for 12 oranges.
it is 48 for 8 oranges.
12x5= 60 , 8x6=48.
you only have to times 12 by 5 to get it to the price but you have to times 8 by 6 to get it to the price, proving that 12 oranges for 60 is a better deal.
What is the percent increase from 48 to 50?
Answer:
4%
Step-by-step explanation:
Since percentages are counted with % (100), we multiply 50 by 2 to get 100. We also 48 by 2 to get 96. Then we subtract 96 from 100 to get 4%.
48 increases by 4% o get 50.
Answer:
4 percent
Step-by-step explanation:
hhhhh
Sophia earns $5 in allowance each week for doing her assigned chores. She earns an additional $0.50 for each extra chore that she does in a week. The graph shows the average amount of money she earns each week per additional chore. How can the horizontal asymptote be interpreted in this scenario?
Answer:
The answer is A. The horizontal asymptote is y=0.50 because as Sophia does more and more extra chores, the average amount of money she earns can never be equal or less than $0.50 per extra chores.
Step-by-step explanation:
Brainliest for whoever gets this right!
Make x the subject of the formula
a(x-b)=a^2+bx
Answer:
Step-by-step explanation:
Firstly,open the brackets
ax -ab =[tex]a^{2}[/tex] + bx
collect like terms
ax-bx=[tex]a^{2}[/tex] +ab
factorise
x(a-b)=a(a+b)
x=[tex]\frac{a(a +b)}{a- b}[/tex]
facrorize -a-b+1+ab
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's simplify step-by-step.
[tex]-a - b + 1 + ab[/tex]
[tex]= -a + -b + 1 + ab[/tex]
So the answer is : [tex]\boxed {-a + -b + 1 + ab}[/tex]
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Ok so we need to find out the different kinds of variables/constants.
1st kind: -a
2nd kind: -b
3rd kind: 1
4th kind: ab
-a and -b are different because they are different variables, and since their value is not known, you can't add or subtract them together.
-a, -b, and 1 are not the same because -a and -b are variables and their value is unknown. However, 1 is a constant, and it's value is constant and known.
-a, -b, and ab are different because ab are "fused together" (multiplied) and that means you cannot add them separately.
So this expression cannot be factorized.
♡ Hope this helps! ♡
❀ 0ranges ❀
Name the plane that contains points A, B, and C.
B
S
с
А
D
T
5
Answer:
Plane 'S'
Step-by-step explanation:
Since a plane is a two dimensional surface on which infinitely many points may lie.
In the picture attached, two planes (two dimensional) have been given.
Plane S
Plane T
Plane 'S' contains three points A, B and C and plane 'T' contains points D and E.
Therefore, the plane which contains points A, B and C is Plane 'S'.
The plane that contains points A, B and C is the plane S.
Plane Definition
A plane is simply a 2-dimensional surface or figure.
The above definition of a plane means that, there are only two planes in the given figure.
Plane in the figureThese planes are:
Plane SPlane TOn plane S, we have points A, B and C On plane T, we have points D and E.
Hence, the plane which contains points A, B and C is plane S.
Read more about planes at:
https://brainly.com/question/17268701
Find ST if S(-3, 10) and T(-2, 3).
Answer:
[tex] ST = 5\sqrt{2} [/tex]
Step-by-step explanation:
Given:
S(-3, 10)
T(-2, 3)
Required:
ST
SOLUTION:
Use the distance formula, [tex] \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find ST.
Where,
[tex] S(-3, 10) = (x_1, y_1) [/tex]
[tex] T(-2, 3) = (x_2, y_2) [/tex]
[tex] ST = \sqrt{(-2 -(-3))^2 + (3 - 10)^2} [/tex]
[tex] ST = \sqrt{(1)^2 + (-7)^2} [/tex]
[tex] = \sqrt{1 + 49} [/tex]
[tex] = \sqrt{50} = \sqrt{25*2} [/tex]
[tex] ST = 5\sqrt{2} [/tex]
1) solve 9(x-11)=9
2) solve 4(3x-2)=52
3) solve 44=2(3x-5)
4) solve 2x-4/5 = 4
5) solve 3x+2/2 = 13
6) solve 4x-5/5 = 3
7) solve 10x+4/7 = 8
8) solve 6x-1/2 = 1
I need full workings out please x
thank you
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
1) solve 9(x-11)=9
[tex]x = 12[/tex]
2) solve 4(3x-2)=52
[tex]x = 5[/tex]
3) solve 44=2(3x-5)
[tex]x = 9[/tex]
4) solve 2x-4/5 = 4
[tex]x = \frac{12}{5}[/tex]
5) solve 3x+2/2 = 13
[tex]x = 4[/tex]
6) solve 4x-5/5 = 3
[tex]x = 1[/tex]
7) solve 10x+4/7 = 8
[tex]x = \frac{26}{35}[/tex]
8) solve 6x-1/2 = 1
[tex]x = \frac{1}{4}[/tex]
( Sorry ! The questions are too much for me to add the explanation )
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Have a great day/night!
❀*May*❀
Answer:
see below explanation
Step-by-step explanation:
1. 9 (x - 11) = 9
9x - (9 * 11) = 9
9x - 99 = 9
x = 12
2. 4 (3x - 2) = 52
(4 * 3x) - (4 * 2) = 52
12x - 8 = 52
x = 5
3. 44 = 2 (3x - 5)
44 = (2 * 3x) - (2 * 5)
44 = 6x - 10
x = 9
4. 2x- 4/5 = 4
2x - 2²/5 = 4
5(2x) + (-2²) / 5 = 4
x = 12 / 5
5. 3x + 2/2 = 13
3x + 1 = 13
(3x + 1) + (-1) = 13 + (-1)
x = 4
6. 4x -5/5 = 3
4x - 1 = 3
(4x - 1) + 1 = 3 + 1
x = 1
7. 10x + 4/7 = 8
10x + 2²/7 = 8
7(10x) + 2² / 7 = 8
x = 26 / 35
8. 6x - 1/2 = 1
2(6x) + (-1) / 2 = 1
((2 * 6x) - 1 ) / 2 = 1
x = 1/4
What is the fewest number of distinct points that must be graphed?
Answer:
2
Step-by-step explanation:
This depends on what type of graph, like quadratic, linear, etc. For linear it would be 2 points.
What do ratio and rate have in common
Answer:
Both rates and ratios are a comparison of two numbers. A rate is a specific type of ratio. The difference is that a rate is a comparison of two numbers with different units, where for a ratio compares two numbers with the same unit.
what is the answer for 2/3 ( 1/4 x−6) in distributive property? please explain the steps
Answer:
1/6 2/3x-4
Step-by-step explanation:
What you do to answer the problem is multiply everything in the parenthesis by 2/3.
2/3 of 1/4 = 1/6
With x, you just have 2/3x and leave it at that for now.
2/3 of -6 = -4
so you end up with, 1/6 2/3x-4
(Remember that of means multiplication in my answer)
I hope this helps!
What is 120% of 2,000
2400
Step-by-step explanation:120%×2000 =
= 120×2000/100
= 240000/100
= 2400
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{2400}}}}[/tex]Step-by-step explanation:
[tex] \sf{120\% \: of \: 2000}[/tex]
Convert the percent into a fraction
To convert the percent into a fraction , divide it by 100 and remove the % symbol.
[tex] \sf{ \frac{120}{100} \times 2000}[/tex]
Calculate
[tex] \sf{2400}[/tex]
Hope I helped!
Best regards!!
Assume for a given study that the null hypothesis asserts the expected value of a phenomenon is 10. A research study results in a 95% confidence interval reported as [7.142, 9.865]. What decision would you make based on this confidence interval
Answer:
I would reject the null hypothesis because it falls outside of the 95% confidence interval.
The second digit after the decimal point in a number is 4. What is the value of 4 in the number? 1 thousandth 4 thousandths 1 hundredth 4 hundredths
Answer:
D. 4 hundredths
Step-by-step explanation:
Hello!
The second digit after the decimal point is 4 is shown by
0.04
The points after a decimal point go tenths, hundredths, thousandths etc.
The answer is D. 4 hundredths
Hope this helps!
Answer:
4 hundredths
Step-by-step explanation:
For values of decimals one should note that each additional digit after the decimal is a multiple of (1/10).
Using this knowledge, the first digit would be tenths, the second digit hundredths, the third digit thousandths, etc.
Hence a 4 in the second digit after the decimal would be equivalent to 4 * (1/100) = (4/100) or 4 hundredths.
Cheers.
2. The elevator in the Washington Monument takes 75 seconds to travel 506 feet to the top floor. What is the speed of the elevator in miles per hour
Answer: the speed of the elevator is 4.6 miles per hour.
Step-by-step explanation:
Given, The elevator in the Washington Monument takes 75 seconds to travel 506 feet to the top floor.
Since 1 hour = 3600 seconds
⇒ 1 second = [tex]\dfrac{1}{3600}[/tex] hour
⇒ 75 seconds = [tex]\dfrac{75}{3600}[/tex] hour [tex]=\dfrac{1}{48}[/tex] hour
1 mile = 5280 feet
1 feet = [tex]\dfrac{1}{5280}[/tex] mile
506 feet = [tex]\dfrac{506}{5280}[/tex] miles [tex]=\dfrac{23}{240}[/tex] miles
Speed = [tex]\dfrac{Distance}{Time}[/tex]
[tex]=\dfrac{\dfrac{23}{240}}{\dfrac{1}{48}}\\\\=\dfrac{23\times48}{240}\\\\=\dfrac{23}{5}\\\\=4.6\text{ miles per hour}[/tex]
Hence, the speed of the elevator is 4.6 miles per hour.
Factor.
x3 + 3x2 – 8x - 24
Answer:
=x3 - 8x + 3x2-24
=X(x2- 8) + 3(x2- 8)
=(X+3) (x2- 8)
Answer:
x^(3)-3x^(2)+8x-24
x2 (x-3) +8 (x-3)
Factor the polynomial by factoring out the greatest common factor,
x-3 (x-3) (x2+8)
What is the volume of a rectangular prism 6 m by 2 m by 10 m
Answer:
120[tex]m^{3}[/tex]
Step-by-step explanation:
The formula for V (volume) is l*w*h (length*width*height).
You can substitute each part of the formula for the given units.
6m*2m*10m = V
6m*m2 = 12[tex]m^{2}[/tex]
12[tex]m^{2}[/tex]*10m = 120[tex]m^{3}[/tex]
120[tex]m^{3}[/tex] = V