3sin60°+xcos30°.tan45°=xcot30°
Answer:
x = (6[tex]\sqrt{2}[/tex])/(4[tex]\sqrt{2}[/tex] -3)
Step-by-step explanation:
sin60 degree = [tex]\sqrt{3}[/tex] /2
cos30 degree = 1/2
tan 45 degree = sin45 degree / cos45 degree = ([tex]\sqrt{2}[/tex]/2)/([tex]\sqrt{2}[/tex] /2) = 1
cot 30 degree = cos30 / sin30 = ([tex]\sqrt{3}[/tex] /2)/(1/2) = [tex]\sqrt{3}[/tex]
so, let us plug the above values in the given eqution and solve for x
3([tex]\sqrt{3}[/tex] /2 ) + x(1/2) *1 = x([tex]\sqrt{3}[/tex])
3([tex]\sqrt{3}[/tex] /2 ) = x([tex]\sqrt{3}[/tex]) -x(1/2)
3([tex]\sqrt{3}[/tex] /2 ) = x(([tex]\sqrt{3}[/tex])-(1/2)) (by taking x as a common factor)
3([tex]\sqrt{3}[/tex] /2 ) = x(((2[tex]\sqrt{3}[/tex])-(1))/2)) (making the same common denominator
now devide both sides by (((2[tex]\sqrt{3}[/tex])-(1))/2))
x = 3([tex]\sqrt{3}[/tex] /2 ) / (((2[tex]\sqrt{3}[/tex])-(1))/2))
x = 3([tex]\sqrt{3}[/tex] ) / ((2[tex]\sqrt{3}[/tex])-(1))
Multiply. (x-6)(x+4) with work.
Answer:
(x+-6)(x+4)
(x)(x)+(x)(4)+(-6)(x)+(-6)(4)
x^2+4x-6x-24
Answer is x^2-2x-24
Step-by-step explanation:
Which polygon appears to be regular?
Figure A
Figure B
Figure C
Figure D
Answer:
Figure B
Have a good day
answer asap please!!
Answer:
Sorry didn't know everything
Step-by-step explanation:
1. b
2.
3. f
4. H
5.a
6.c
7.d
8.
9.
10. I
Answer:
1. x= 3
2. x= -30
3. x= 31/3
4. x= -3
5. x= 2
6. x= -24
7. x= -5
8. x= -55
9. x= -2
10. x= 4
Step-by-step explanation:
8) determine the value again pls
Answer:
4
Step-by-step explanation:
-48/2 ÷ (-6)
-24 ÷ (-6)
4
Please help!!!!!!! Tysm!!
Answer:
it's the first answer
Step-by-step explanation:
its 2/9 because 1/3 × 2/3 = 2/9
Answer:
It's C
Step-by-step explanation:
1/3 x 2/3 = 2/9, which simplifies back to 1/3
and 1/3=2/6
Twelve pounds of beans are distributed equally into 9 bags to give out at the food bank.
How many pounds of beans are in each bag?
Enter your answer in the simplest form.
There are pounds of beans in each bag.
Answer:
1.33 or 1 1/3 pounds
Step-by-step explanation:
12 ÷ 9 = 1.33
!!!PLEASE HELP WILL GIVE BRAINLIEST EASY!!!
17 squared is between which of the following pairs
a. 4 and 5
b.16 and 18
c.288 and 290
d. i dont know
and d is actually a answer i dont know why
NUMBER: 17 SQUARE: 289 SQUARE ROOT: 4.123
Hope this helps a little.
Answer:
a. 4 and 5
Step-by-step explanation:
We are given 17 squared, and are asked on whether which of it is between the following pairs.
Squaring a number always gives it a smaller number since you are trying to find a number times itself to make the number in the square root.
Therefore by this knowledge, a. would be the most reasonable answer, since 17 is quite a small number, squaring it will equal something smaller.
PLEASE HELP
Evaluate the following expressions using the distributive property:
Answer:
You multiply the number outside the parentheses by each one I side the parentheses. Following the distributive property, you have to "distribute" the multiplication, so each number/variable gets multiplied by the first number.
Hope this helps!
Solve for b.
3-2(b-2)=2-7b3−2(b−2)=2−7b
Step-by-step explanation:
3 - 2(b - 2) = 2 - 7b
To solve this first distribute -2 to (b - 2)
3 + (-2b + (-2) x -2) = 2 - 7b
when we simplify this it becomes:
3 + (-2b + 4) = 2 - 7b
We take (-2b + 4) out of the parenthesis:
3 - 2b + 4 = 2 - 7b
Now simplify again.
7 - 2b = 2 - 7b
Now send all the b's to one side and constants on the other.
7 - 2 = -7b +2b
5 = 5b
b = 1
Is 2/5 and 8/20 equivalent
Answer:
Yes, they are.
Step-by-step explanation:
Find the total surface area of the rectangular pyramid.
7 ft
t
6 ft
0 120 12
O 168 112
8412
O 204?

Answer:
I can't really understand the wording but..
Step-by-step explanation
The formula for surface area of a rectangular prism is A=2(wl+hl+hw)
so yeah enjoy freedom for the rest of the day
Which right triangle's unknown leg measure is 43 units? Assume the given length are in the same unit of measure.
60
12
\/44
8
5
90
|/21
19
) Intro
Done
Answer: the fourth triangle
Step-by-step explanation:
I got it right :)
Answer:
The 4th triangle
Step-by-step explanation:
JoAnn paid $3.80 for each book at a book sale.
How much did she spend if she bought 9 books?
Answer:
$34.20
Step-by-step explanation:
total spent =3.80*9=$34.20
I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe
Answer:
the answer is 5 3/8
Step-by-step explanation:
the common denoiminator of 4 and 8 is 8 so you multiply 3 by 2 like you did 4 to get 8 and you multiply 5 by 1 like you did 5 to get 5 and you add it all together
)Suppose is a real number with 0 < < 4 . Set = sin( − ), = cos( + ), = sin( − ), and = cos(2 − ). Arrange the values , , , and in increasing order, and explain how you determined their order.
Answer:
b < c < a < d
Step-by-step explanation:
P.S - The exact question is -
Given - Suppose x is a real number with 0 < x < [tex]\frac{\pi }{4}[/tex] . Set a = sin([tex]\pi[/tex] - x) ,
b = cos([tex]\pi[/tex] + x) , c = sin( x - [tex]\pi[/tex]) , d = cos(2[tex]\pi[/tex] - x)
To find - Arrange the values of a, b, c, d in increasing order , and explain
how you determined their order.
Proof -
Firstly draw a unit circle where you indicate the following
A = ( cos(x), sin(x) )
B = ( cos( [tex]\pi[/tex] - x) , sin ([tex]\pi[/tex] - x) )
C = ( cos([tex]\pi[/tex] + x), sin ([tex]\pi[/tex] + x) )
D = ( cos (2[tex]\pi[/tex] - x) , sin (2[tex]\pi[/tex] - x) )
As we have given that 0 < x < [tex]\frac{\pi }{4}[/tex]
⇒sin (x) and cos(x) are positive and sin(x) < cos(x)
The figure is as follows :
Now
By seeing point B , we can say that
sin ([tex]\pi[/tex] - x) = sin (x) = a
By seeing point C , we can say that
cos([tex]\pi[/tex] + x) = -cos (x) = b
By seeing point C , we can say that
sin( x - [tex]\pi[/tex]) = -sin(x) = c
By seeing point D , we can say that
cos(2[tex]\pi[/tex] - x) = cos(x) = d
As sin(x) < cos(x) ⇒ a < d
-sin(x) > -cos(x) ⇒ c > b ⇒ b< c
and as we know that -sin(x) < sin(x) ⇒ c < a
∴ we get
b < c < a < d
can someone help me with finding the slope of the graph- ONLY GRAPH
Answer:
m = - 2
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
can yall plzz help me i feel supid
Luciana is adding water to a pool at a constant rate. Before she added any water, the pool had $12,000$ gallons of water. Luciana is adding $9$ gallons of water each minute.
Which equation represents the total number of gallons of water in the pool, $w$ , after Luciana adds water for $m$ number of minutes?
Answer:
T(m) = 12,000 gallons + (9 gallons/ minute)m
Step-by-step explanation:
This is a linear function with beginning value 12,000 gallons and unit rate of increase 9 gallons/minute:
T(m) = 12,000 gallons + (9 gallons/ minute)m
PS: Please don't use " $ " to set off numbers. Not needed!
In a lilac paint mixture, 40$ of the mixture is white paint, 205 is blue, and the rest is red. There are 4 cups of blue paint used in a batch of lilac paint. If you get stuck, consider using a tape diagram.
Answer:
White paint is 8
Blue paint is 4
Red paint is 12
The recipe will yield 24 cups of lilac paint if you are talking about the problem i had earlier on my math homework
Mona has a bag containing 4 red marbles, 12 greens marbles, and 8 black marbles. Without looking, she pulls out one marble from the bag
and does not replace it. She then pulls a second marble from the bag. What is the probability that she will pull a red on the first pick and
red on the 2nd pick?
Answer:
1 / 46
Step-by-step explanation:
P(R, R) = [tex]\frac{4}{24}[/tex] · [tex]\frac{3}{23}[/tex] = [tex]\frac{1}{46}[/tex] (simplified form)
Stacy reasons that since dilations change lengths they also change angles by the same factor. Is she correct? If not, explain why, I will list brainlist if you reply fast
Answer:
Stacy is incorrect. Dilations do not affect the angles of a given figure since dilations create parallel lines and the angles on parallel lines are congruent.
Step-by-step explanation:
just took the quiz :)
YALL HELP ME PLEASE ITS URGENT
(8x + 9) + (–6x – 1)
Answer:
5
Step-by-step explanation:
Simplifying
(8x + 9) + -1(6x + -1) = 0
Reorder the terms:
(9 + 8x) + -1(6x + -1) = 0
Remove parenthesis around (9 + 8x)
9 + 8x + -1(6x + -1) = 0
Reorder the terms:
9 + 8x + -1(-1 + 6x) = 0
9 + 8x + (-1 * -1 + 6x * -1) = 0
9 + 8x + (1 + -6x) = 0
Reorder the terms:
9 + 1 + 8x + -6x = 0
Combine like terms: 9 + 1 = 10
10 + 8x + -6x = 0
Combine like terms: 8x + -6x = 2x
10 + 2x = 0
Solving
10 + 2x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 2x = 0 + -10
Combine like terms: 10 + -10 = 0
0 + 2x = 0 + -10
2x = 0 + -10
Combine like terms: 0 + -10 = -10
2x = -10
Divide each side by '2'.
x = -5
Simplifying
x = -5
made by TheRealMarinette
How do you write 927,000 in scientific form
Can someone please answer this please
The inverse, f'(x), of f(x) =
X + 5
Х
can be written as
5
x-1
a) Find f(2)
b) Find f'(2)
Step-by-step explanation:
Given
[tex]f(x) = \frac{x + 5}{x} [/tex]
So
[tex]f(2) = \frac{2 + 5}{2} \\ = \frac{7}{2} [/tex]
Now
[tex] {f}^{ - 1} (x) = \frac{5}{x - 1} [/tex]
So
[tex] {f}^{ - 1} (2) = \frac{5}{2 - 1} \\ = \frac{5}{ 1} \\ = 5[/tex]
Hope it will help :)❤
Randi and Peter are planning a surprise party for Mike and have
requested your services as a party planner. They have a budget of
$460 to spend on the party. Randi and Peter have found two
different companies, Party Your Socks Off and Party Planet, to cater
the event, and would like you to determine which company offers
the best deal based on their budget of $460.
Answer:
the best deal to cater the party isparty planet
15. Asriel thinks he has room for a 50 inch TV in his living room. It turns out
he only has room for a 40 inch TV. What is his percent error? *
10%
25%
20%
30%
Answer: 10%
Step-by-step explanation: because if you subtract 50-40 you get 10 and then you just add the % sign and you can cross out d and b.
hope this helps you
Answer:
20%
Step-by-step explanation:
Since, 40/50 is equal to 80/100 we can tell that the 2 are 80% close to eachother, but there is 20% difference!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
If 9 garden hoses cost $196.83 and the price of each hose is the same how much does each hose cost?
Answer:21.87
Step-by-step explanation:
196.83 divided by 9
Answer:
They each cost $21.87
Step-by-step explanation:
If each hose costs the same you can just divide the total (196.83) by the number of hoses (9) to get 21.87.