Answer:
[tex]sin(x)\,cos(x)-cos^2(x)=\frac{\sqrt{3} -3}{4}[/tex]
Step-by-step explanation:
Recall the Pythagorean identity for cotangent:
[tex]1+cot^2(x)=csc^2(x)[/tex]
where the cosecant is the reciprocal of the sine function. So, since we know the value of the cotangent of the angle, we can derive the value of the square of the sine:
[tex]1+cot^2(x)=csc^2(x)\\1+(\sqrt{3})^2=\frac{1}{sin^2(x)} \\1+3=\frac{1}{sin^2(x)} \\4=\frac{1}{sin^2(x)}\\sin^2(x)=\frac{1}{4}\\ sin(x)=+/-\frac{1}{2}[/tex]
We can also use the Pythagorean identity for sin and cos, to find the value of [tex]cos^2(x)[/tex] and of cos(x):
[tex]cos^2(x)=1-sin^2(x)\\cos^2(x)=1-\frac{1}{4} \\cos^2(x)=\frac{3}{4}\\cos(x)=+/-\frac{\sqrt{3}}{2}[/tex]
We also notice that since the cotangent is positive, the angle "x" must be located in either the firs or the third quadrant, where both sine and cosine have the same sign (both positive in the first quadrant, and both negative in the third quadrant.
Then the requested quantity can be written as:
[tex]sin(x)\,cos(x)-cos^2(x)=(\frac{1}{2}) \,\frac{\sqrt{3} }{2} -\frac{3}{4} =\frac{\sqrt{3} }{4} -\frac{3}{4}=\frac{\sqrt{3}-3 }{4}[/tex]
Please help someone……………………
Answer:
I think it's number one
Step-by-step explanation:
(20 POINTS AND BRAINLIEST)
The Timothy Edwards Matinee Program has a one time fee of $25 to join the bowling club. It then costs $6 each time the club goes bowling.
a) Write an equation in slope-intercept form for the cost y of joining the club and going on x bowling trips.
b) Sarah wants to join and go bowling 10 times. How much will she pay?
c) Tyler wants to join the club and go bowling 7 times. How much will he have to pay?
Answer:
a) The equation is y = 6x + 25 since the 25 is the initial fee.
b) We plug in 10 for x. 6 * 10 + 25 = $85.
c) We plug in 7 for x and get 6 * 7 + 25 = $69.
Answer:
see below
Step-by-step explanation:
a) y = 6x + 25 (because the 25 is the initial fee)
b) x = 10, so:
= 6 * 10 + 25
= $85
c) x = 7, so:
= 6 * 7 + 25
= $69
Hope this helps!
how many speak spanish only?
how many does not speak any if the languages?
Answer:
52 people
Step-by-step explanation:
Suma cyfr szukanej liczby dwucyfrowej jest równa 12. Jeżeli cyfry tej liczby przestawimy, to
otrzymamy liczbę większą o 18 od szukanej liczby. Wyznacz szukaną liczbę
Answer:
yes
Step-by-step explanation:
URGENT
What is the value of y?
A.72°
B.36°
C.54°
D.108°
Answer:
72 + 2y = 180
2y = 108
y = 108/2
y = 54
C. 54
Answer:
C
Step-by-step explanation:
Sum of three angles of triangle = 180
72 + y + y = 180 {add like terms}
72 +2y = 180 {Subtract 72 from both sides}
2y = 180 - 72
2y = 108 {divide both sides by 2}
y = 108 / 2
y = 54°
(3 1/4 + 2 5/6) + 1 3/4
19/6
Step-by-step explanation:
3/4 + 5/3 +3/4
3/4 + 3/4 = 3/2
3/2 + 5/3 =19/6 or 3.16....
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!
Answer:
(x-5)
Step-by-step explanation:
x^2 -25
We know this is the difference of square
(x-5)(x+5)
Since the length is (x+5) the width must be (x-5)
Given:
Area = x² - 25Length = x + 5To be calculated:
Calculate the width of rectangle?
Formula used:
Area of Rectangle = L × b
Solution:
We know,
Area of Rectangle = L × b
⇒ x² - 25 = x + 5 × b
⇒ b = x² - 25 / x + 5
⇒ b = x² - 5² / x + 5
⇒ b = ( x + 5 ) ( x - 5 ) / x + 5
⇒ b = x - 5
Can I get help with this?
Answer:
Around 13.7
Step-by-step explanation:
The cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse. In this case, this means:
[tex]\cos 70= \dfrac{x}{40} \\\\x=40\cdot \cos 70\approx 13.7[/tex]
Hope this helps!
Please look at photo and solve for y
Answer:
y = 45
Step-by-step explanation:
70 and y + 25 are corresponding angle and corresponding angles are equal when we have parallel lines cut by a transversal
70 = y+25
Subtract 25 from each side
70-25 = y
45 = y
[tex]answer \\ y = 45 °\\ solution \\ y + 25 = 70(being \: corresponding \: angles) \\ or \: y = 70 - 25 \\ y = 45 °\\ hope \: it \: helps[/tex]
helppppppppp! i give brainliest !!!!!!
Answer:
7.5g salt, 10g yeast, 50ml oil, 450ml water.
The floor of the cage measures 11 yardyard wide by 66 feetfeet long. One bag of shavings covers 55 square feetfeet. How many bags will HarperHarper have to buy to cover the floor of the cage? Explain.
Answer:
3 3/5 bags
Step-by-step explanation:
We have to find the surface area of the floor of the cage first.
The cage measures 1 yard wide by 6 feet long.
1 yard = 3 feet
The floor of the cage is rectangular, so, the surface area of the floor of the cage is therefore:
3 * 6 = 18 square feet
One bag of shavings covers 5 square feet.
To find the number of bags we need to cover the floor, we divide the surface area of the floor by the number of bags per square feet.
The number of bags needed for the floor of the cage is therefore :
18 / 5 = 3 3/5 bags
The junior class sells tickets to a talent show to raise money. Each ticket sells for $8. How much money do they raise?
Answer:
unsolvable
Step-by-step explanation:
you need to know how many people bought a ticket
HELP ME OUT! A student dissolves 1 gram of sugar in 10 grams of water. She then determines the mass of the solution. What is the mass of the dissolved sugar and water?
Answer:
The mass of the dissolved sugar and water is 11 g.
Step-by-step explanation:
When a substance is dissolved in another, they are mixed together forming a new one, therefore the new substance's mass must be the same as the sum of the individual mass of each substance mixed, because there are no leaks. In this case, there are two substances being mixed, the water which have a mass of 10 grams and the sugar which have a mass of 1 gram, therefore the final solution's mass must be equal to 11 g.
Lakesha is taking three of her friends to see the latest movie. Each ticket is $5.50, and she is paying for all four tickets. How much money does Lakesha need to bring to pay for all of the tickets? A. $16.50 B. $22.00 C. $49.50 D. $55.00
Answer: $22
Step-by-step explanation:
$5.50 * 4 = 22
Answer:
B. $22.00
Step-by-step explanation:
The expression you need to set up is 5.5 times 4, since she needs to pay 4 tickets and each is $5.50. After you multiply, you should get 22, which is the answer.
Share £45 in the ratio 4:5
Answer:
20 : 25
Step-by-step explanation:
A : B : total
4 : 5 : 4+5 = 9
We want to share 45
45/9 = 5
Multiply each share by 5
A : B : total
4*5 : 5*5 : 9*5
20 : 25 : 45
Evaluate 105*95 using identities
Answer:
9975
Step-by-step explanation:
See attachment.
( 105 ) * ( 95 )
(100+5) * (100-5)
100*100 * (1 + 5/100) * ( 1 - 5/100)
10000 * ( 1 - 5/100 + 5/100 - {25/10000} )
- 5/100 + 5/100, they cancel each other out to 0
10000 * ( 1 + 0 - {25/10000} )
10000 * ( 1 - {25/10000} )
10000 - {25*10000/10000}
10000 - {25}
9975
What is the area of Dawn’s porch
what is the sum of (2x - 6) + (4x - 4)
Answer:
6x - 10
Step-by-step explanation:
2x + 4x = 6x
6 + 4 = 10
6x - 10
Can anyone one give me the answer for this??!! Please hurry up to
Answer:
N=6
Step-by-step explanation:
As the answer is 6 and we already have 3 so the other half is 3. Half of 6 is three so n=6
What is the output of the function f(x) = x^2 + 1, when the input is 6? Can someone really help me out on this please i will really thank youuu..
Answer:
37
Step-by-step explanation:
Since the input is 6, you plug it in as the x value to get y.
The input=x value
the output=y value
This is because when you input an x-value into an equation, you would get its y value.
So... 6^2 is 36 and 36+1 is 37
So the final answer is 37
Aubrey's parents are signing her up for summer camps. If there are 5 weeklong camps to choose from, in how many orders can they select 3 of the camps to sign her up for?
Answer:
This can be done in a total of 10 ways
Step-by-step explanation:
This is a selection problem.
What we are trying to do is to properly select 3 week long camps from the total 5. we are looking for the number of ways in which we can do this.
Now, since this is a selection problem, the proper mathematical term and approach to use is the COMBINATION
Mathematically, having r items to pick from a total n, the number of ways to do this is nCr ways
which is mathematically equivalent to;
n!/(n-r)!r!
now applying this to the problem at hand, what we have is 5C3
= 5!/(5-3)!3! = 5!/2!3! = (5 *4)/2 = 20/2 = 10 ways
Sam and Bruno were computing how many kilometers they rode in the 3 bike trips they took last month. In order, they rode 45.7, 40.9, and 38 miles. Their solutions are shown. Sam’s Solution Bruno’s Solution If one kilometer equals 0.621 miles, which is the best solution to find the total number of kilometers they rode? Why is it correct?
Answer:
Bruno will do 45.7
Step-by-step explanation:
1- gather all info
2-subtract
3- YOURE answer
what is the answer to -2x- x +8
Answer:
[tex]x=\frac{8}{3}[/tex]
Step-by-step explanation:
I don't know if this has an =0 at the end, but I assume it does.
This is how you would work it out:
[tex]-2x-x+8=0\\-3x=-8\\x=\frac{-8}{-3} \\x=\frac{8}{3}[/tex]
Another inequality question :( Can someone help pls??
Thanks :D
Answer:
[tex]y\geq x[/tex]
Step-by-step explanation:
Again, let us begin by finding the equation of the line
The y-intercept is 0 and the slope is 1, so the equation of this line would be [tex]y=x+0[/tex] or just [tex]y=x[/tex]
We can see that the shaded region is ABOVE the line, so we would use a greater than (>) sign.
This as the line is shaded in, we must also include that line in the inequality. This means that we will instead use the [tex]\geq[/tex] sign.
This means that our answer would be [tex]y\geq x[/tex]
There are 200 carpenters in a crew. On a certain day, 150 were present. What percent showed up for work?
help please thank you
[tex]answer \\ 187 \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]
what does it mean by bisecting angles
Answer: A line that splits an angle into two equal angles.
Step-by-step explanation: ("Bisect" means to divide into two equal parts.)
Bisecting angles: A line that splits an angle into two equal angles.
Raj’s farmhouse is 1245km away from hiswarehouse. Daily he drivesa certain distance and then his friend Rohantakes aturn to drive his carfor 412km distance to reach thewarehouse.(a)What distance does Raj drivedaily?
Answer:
Step-by-step explanation:
Subtract the distance driven by Rohan from the total distance
Distance driven by Raj = 1245 - 412
= 833 km
Can someone pls help me with this?
Evaluate 10x^2y^–2 for x = –1 and y = –2.
Answer:
10
Step-by-step explanation:
10x^2y^-2
10(-1)^2(-2)^2=10
