Step-by-step explanation:
It's given that A = 30° . Lets find the sin , cos & tan of A
⇒ [tex]\sin A=\sin30 = \frac{1}{2}[/tex]
⇒ [tex]\cos A = \cos 30 = \frac{\sqrt{3} }{2}[/tex]
⇒[tex]\tan A = \tan 30 = \frac{1}{\sqrt{3} }[/tex]
Lets solve the LHS (Left Hand Side) :-
[tex]2(\sin A \times \cos A) = 2(\frac{1}{2} \times \frac{\sqrt{3} }{2}) = \frac{\sqrt{3} }{2}[/tex]
Now lets solve the RHS (Right Hand Side) :-
[tex]\frac{2\tan A}{1+\tan ^{2}A } = \frac{2 \times \frac{1}{\sqrt{3} } }{1 + (\frac{1}{\sqrt{3} } )^{2} } = \frac{2}{\sqrt{3} } \div ( 1 + \frac{1}{3} ) = \frac{2}{\sqrt{3} }\div \frac{4}{3} = \frac{2}{\sqrt{3} } \times\frac{3}{4} =\frac{\sqrt{3} }{2}[/tex]
∴ LHS = RHS ( Proved )
marla has 4.55 in dimes and quarters. if she ha s7 more quarters than dimes, how many quarters doe she have?
Answer:
number of dimes is 8
number of quarters is 15
Step-by-step explanation:
let 'd' = number of dimes
let 'd+7' = number of quarters
.10d + .25(d + 7) = 4.55
.10d + .25d + 1.75 = 4.55
.35d = 2.80
d = 8
q = 7 + 8
Can someone help me with letter D?
Answer:
1.5 times greater because the ratio of triangle ABC to triangle DEF is 2:3
Step-by-step explanation:
Answer:
1.4 times is the correct answer
20 points for anyone that can solve the question
Answer:
[tex] {3}^{x} = {9}^{y} - - - eqn(i) \\ 4 ^{xy} = {2}^{x - 2} - - - eqn(ii) \\ from \: (i) \: introduce \: log_{10}\: \: \\ log( {3}^{x} ) = log( {9}^{y} ) \\ x log(3) = y log(9) \\ x log(3) = 2y log(3) \\ x = 2y - - - eqn(iii) \\ substitute \: for \: x \: in \: eqn(ii) \\ {4}^{ {2y}^{2} } = {2}^{2(y - 1)} \\ {4}^{ {2y}^{2} } = {4}^{(y - 1)} \\ from \: indice \: laws \\ {2}^{ {y}^{2} } = y - 1 \\ introduce \: log_{10} \\ {y}^{2} log(2) = log(y) - log(1) \\ log(2) = {y}^{ - 2} log (y \: - \: 1) \\ {y}^{ - 2} (2 - y - 1) = 10 \\ \frac{2}{ {y}^{2} } - \frac{1}{y} - \frac{1}{ {y}^{2} } = 10 \\ 1 - y = 10 {y}^{2} \\ 10 {y}^{2} + y - 1 = 0 \\ [/tex]
hope that step is enough to give you the two values of y, coz I gat no calc here with me.
hint: use the quadratic equation
the zero of the quadratic polynomial x^2+99x+127 are a both positive b both negative c one +ve one-ve d both equal. please help
Step-by-step explanation:
By Descrates' Rule of Signs,
x² + 99x + 127 changes sign 0 times.
Hence it has 0 positive roots.
Since the discriminant b² - 4ac is also positive, there are 2 real distinct roots.
Hence both the roots are negative. (B)
Answer:
Hi Aarav
Your answer in attached below
LoL
URGENT PLEASE HELP. I WILL GIVE BRAINLIEST IF CORRECT!!!
what is the slope between 0,0 and 5,15
- 4x +35> 2 What is the answer?
Answer:
x < [tex]\frac{33}{4}[/tex]
Step-by-step explanation:
Given
- 4x + 35 > 2 ( subtract 35 from both sides )
- 4x > - 33
Divide both sides by - 4, reversing the symbol as a result of dividing by a negative quantity.
x < [tex]\frac{33}{4}[/tex]
1.6 as an improper fraction in simplest form.
Answer:
Step-by-step explanation:
1+0.6
6/10 simplifed into 3/5
+1(which can be written anso as 5/5)
so 3/5 + 5/5 is 8/5 or 1 and 3/5
plz help i will mark brainlist
Answer:
the answer would be graph C
Step-by-step explanation:
also the next time you have a question like this, you can use Desmos is a free graphing platform, thats how I answered this!
Good Luck and have a good day!
Find the missing side of each triangle.
Hello!
[tex]\large\boxed{x = 4.21in}[/tex]
Use the Pythagorean Theorem to solve:
a² + b² = c²
We are given the Hypotenuse (c) and one of the legs (b), so we can plug those values in to solve for a:
a² + (6.8)² = 8²
a² + 46.24 = 64
Subtract 46.24 from both sides:
a² = 17.76
Square root both sides:
a = √17.76
a ≈ 4.21 = x
Can someone help me please
Answer
The answer is +200 or 200.
Please correct me If I am wrong
This is what my teacher taught me
Step-by-step explanation:
A stadium sold 4000 tickets at $75 per ticket 5350 tickets at $62 per ticket and 7542 tickets at $49 per ticket what was the total ticket sales revenue
Answer:
$ 1,001,258
Step-by-step explanation:
Revenue in economics is the profit without the deduction of costs to sell. To find the revenue, multiply the quantity by its given price. Lastly, add all of the numbers up to get the revenue.
The revenue of the stadium is:
(Price 1 × Quantity 1) + (Price 2 × Quantity 2) + .....
(4000×75) + (5350×62) + (7542×49) =
1001258
What’s the answer I really need it
Answer:
ECHA
Step-by-step explanation:
Will mark brainliest
On a coordinate plane, 2 polygons are shown. Polygon A B C D has points (1, negative 6), (5, negative 6), (6, negative 2), and (0, negative 2). Polygon A double-prime B double-prime C double-prime D double-prime has points (1.5, 4), (3.5, 4), (4, 2), and (1, 2). What steps would you take to determine if these figures are similar? Check all that apply. Use a scale factor of 2. Multiply the vertices of polygon ABCD by One-half. Translate the intermediate image 4 units down. Perform two different dilations. Reflect the intermediate image.
Answer:
It is A
Step-by-step explanation:
Given the function f(x) = 2-4, determine the slope of the tangent line of f at
x = -1 using the limit shown below. You do not have to simplify your answer.
Answer:
Slope of the tangent line at x=-1
[tex](\frac{dy}{dx})_{x=-1} = e^{-5}[/tex]
Step-by-step explanation:
Explanation:-
Given function
y = f(x) = e ˣ⁻⁴ ...(i)
Differentiating equation (i) with respective to 'x' , we get
[tex]\frac{dy}{dx} = e^{x-4} \frac{d}{dx} (x-4)[/tex]
[tex]\frac{dy}{dx} = e^{x-4} (1)[/tex]
Slope of the tangent line
[tex](\frac{dy}{dx})_{x=-1} = e^{-1-4} = e^{-5}[/tex]
Yvette's family home is 1600 square feet. They hope to increase the area
by 10%.
PLZ ANSWER ASAP MARKING BRAINLIEST
Answer:
1760 sqft
Step-by-step explanation:
10% is 0.1 in decimal, since its increasing, it would be 1.1
1600 times 1.1 is 1760.
1.) Ethan is typing a 500-word essay for school. He can type 25 words per minute. A. Define a variable. X, B. Write an equation and solve an equation to find the number of minutes he has typed if he has 325 words remaining.
worth 20 points so please help
Answer:
The variable should be m=minutes
The equation should be 25m=175
Thus the answer being 7 minutes.
Please answer ASAP will give brainliest. Given N is the midpoint of MO, find the length of MO.
MO= x units
(5 is not correct)
Answer:
MO = 22 units
Step-by-step explanation:
To solve this problem, you have to set the equations equal to each other. Since we are given that N is the midpoint, MN and NO are going to be equal to each other.
Set them equal and solve for x:
2x+3 = 3x-1
Subtract 2x from the right to get the variable on one side and add 1 to the right side.
4 = x
Now that we know what x is, you can plug it into the equation and add them together
2(4)+3 = 11
3(4)-1 = 11
11+11 = 22
Hope this helps :)
3x+4)2−(x−10)2 .
Escolha uma opção:
a. 10x2−4x+116
b. 8x2−4x−84
c. 8x2+44x−84
d. 8x2−44x−84
e. 8x2+116
Given:
Expression is
[tex](3x+4)^2-(x-10)^2[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex](3x+4)^2-(x-10)^2[/tex]
Using [tex](a+b)^2=a^2+2ab+b^2[/tex] and [tex](a-b)^2=a^2-2ab+b^2[/tex], we get
[tex]=(3x)^2+2(3x)(4)+(4)^2-[(x)^2-2(x)(10)+(10)^2][/tex]
[tex]=9x^2+24x+16-[x^2-20x+100][/tex]
[tex]=9x^2+24x+16-x^2+20x-100[/tex]
On combining like term, we get
[tex]=(9x^2-x^2)+(24x+20x)+(16-100)[/tex]
[tex]=8x^2+44x+(-84)[/tex]
[tex]=8x^2+44x-84[/tex]
Therefore, the correct option is c.
im sorry for asking questions but i suck at math :/
A. 1 pair of corresponding points are N and L or you could use S and H.
but i do not know the question B sorry.
You spend c dollars for p identical pairs of pants. A friend claims that because c increases if you increase p and p increases if you increase c either c or p could be the independent variable. Is your friend right or wrong? Explain.
Answer:
Your friend is wrong.
Step-by-step explanation:
Since we have that you spend c dollars for p identical pairs of pants. We can represent this using:
C = kP.
Where k is the price for one pair of pants whereby the amount of dollars you spend depends on the number of pants picked.
C is the dependent variable here, depending on P and P is independent. Therefore, you have only one independent variable which is P.
Subtract to find the value of 15(2/3-2/5)
Answer:
[tex]4[/tex]
Step-by-step explanation:
Simplify the expression
Daniel and Audrey are reading the same book. At the beginning of the month, Daniel was on page 49 and Audrey was on page 22. Daniel will read 17 pages per day and Audrey will read 20 pages per day. Let D represent the page of the book that Daniel is on at the end of t days into the month, and let A represent the page of the book that Audrey is on at the end of t days into the month. Write an equation for each situation, in terms of t, and determine what page Daniel and Audrey will be on on the day they are both on the same page.
Answer:
9 days
Step-by-step explanation:
First, write the equation for Daniel's situation:
D = 17t + 49
Then, write the equation for Audrey's situation:
A = 20t + 22
Then, set these equations equal to each other and solve for t to find when they will be on the same page:
17t + 49 = 20t + 22
Solve for t:
17t + 49 = 20t + 22
49 = 3t + 22
27 = 3t
9 = t
So, they will be on the same page 9 days into the month.
372,998 round to the nearest tenth thousandths
Answer:
373.000
Step-by-step explanation:
From the given information:
Let classify each digit into their place numbers.
The figure given is:
372,998
8 - unit
9 - tens
9 - hundred
2 - thousand
7 - ten thousand
3 - hundred thousand
To round 372,998 to the tenth thousandths position, then we have a decimal in the ten thousand place.
Note: That when determining the tenth thousandth place, we don't have unit position so counting start with 8 as tenth.
i.e.
37.2998 ≅ 373.000
What is the value of x?
Z=(2x - 4). Y=5y°
Enter your answer in the box.
X=
Answer:
∆XYZ is a equilateral triangle
hence, angle X, angle Y and angle Z =60° each
2x-4=60
2x=64
x=32° (Answer)5y=60
y=12°What is the slope of the line represented by the equation ?
Answer:
I think is 10 because 2 negatives make a positive and 2 would make the answer -10
how do I solve for x ?
Answer: 4
Step-by-step explanation:
Jazmine can run 4 5/6 miles in 2/3 of an hour. How many miles can she run in 1 hour?
Answer: she can run [tex]6\dfrac54[/tex] mile sin 1 hour.
Step-by-step explanation:
Given : Distance run by Jasmine in [tex]\dfrac23[/tex] of an hour = [tex]4\dfrac56\text{ miles}=\dfrac{24+5}{6}\text{ miles}[/tex]
[tex]=\dfrac{29}{6}[/tex] miles
Distance run by Jasmine in 1 hour = [tex]\dfrac{29}{6}\times\dfrac{3}{2}=\dfrac{29}{4}[/tex] miles.
[tex]=6\dfrac{5}{4}[/tex] miles.
Hence, she can run [tex]6\dfrac54[/tex] mile sin 1 hour.
what is the linear equation for this graph? (y=mx+b)
Answer:
y = -3x - 3
Step-by-step explanation:
the y-intercept is -3 as shown in the graph, so, b = -3
if you count, the rise is 3 and the run is -1, so the slope will be -3/1
-3/1 equals to -3
y = -3x - 3
Answer:
y = –3x – 3
Step-by-step explanation:
m = the slope which is 3/1, or 3. Since the line is going from the bottom right corner to the top left, it is a negative slope so –3.
b = the y-intercept which is –3.
So,
y = –3x – 3