Answers
Answer:
see explanation
Step-by-step explanation:
cos150°
= - cos(180 - 150)°
= - cos30°
= - [tex]\frac{\sqrt{3} }{2}[/tex]
-------------------------
sin150°
= sin (180 - 150)°
= sin30°
= [tex]\frac{1}{2}[/tex]
The trigonometric values for cos(150°) and sin(150°) are -√3/2 and 1/2, respectively.
How to find trigonometry values?To find the trigonometric values of cos(150°) and sin(150°), we can use the unit circle and the angle sum formulas.
cos(150°):
We know that cos(180° - θ) = -cos(θ). Therefore, we can rewrite cos(150°) as cos(180° - 30°). Since cos(30°) = √3/2, we have:
cos(150°) = -cos(30°) = -√3/2.
sin(150°):
We know that sin(180° - θ) = sin(θ). Therefore, we can rewrite sin(150°) as sin(180° - 30°). Since sin(30°) = 1/2, we have:
sin(150°) = sin(30°) = 1/2.
Learn more about trigonometric values on:
https://brainly.com/question/15227398
#SPJ6
Related Questions
The triangular park shown below is going to be surrounded by a fence the dimensions of the park are given in feet. How many feet of fencing will be needed to surround the entire park
Answers
Answer:
its 65
Step-by-step explanation:
Answer plz!
Which choices are equivalent to the quotient below? Check all that apply.
Answers
Answer:
A(√2) would be the correct answer.
Answer:
[tex] \boxed{A. \: \sqrt{2} \: \: \: and \: \: \: F. \: \frac{ \sqrt{4} }{ \sqrt{2} }} [/tex]
Step-by-step explanation:
[tex] = > \frac{ \sqrt{18} }{ \sqrt{9} } = \frac{ \sqrt{9 \times 2} }{ \sqrt{9} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{ \sqrt{9}} \times \sqrt{2} }{ \cancel{ \sqrt{9} }} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]
[tex]F. \: \frac{ \sqrt{4} }{ \sqrt{2} } = \frac{ \sqrt{2 \times 2} }{ \sqrt{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{ \cancel{\sqrt{2}} \times \sqrt{2} }{ \cancel{\sqrt{2}}} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \sqrt{2} [/tex]
Which number line correctly shows –0.8 + 0.6? A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.8 to negative 0.2, and then backwards from 0 to negative 0.8. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to negative 0.8 and then from negative 0.8 to negative 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from 0 to 0.8 and then from 0.8 to 1.4. A number line going from negative 1.6 to positive 1.6. An arrow goes from negative 0.6 to 0.2 and then from 0 to negative 0.6.
Answers
Answer:
Hi there, are you sure you didn't forget any parenthesis or signs? I can't find the right answer in the options, the one that would end up at -0.2 in the end I can edit my answer if you tell me some additional option or info about the expression I need to show on the number line
Step-by-step explanation:
which number line shows correctly -0.8 + 0.6?
well lets write it in words minus eight tenths plus six tenths\
so minus:
you go 0.8 units to the left from 0,
then plus:
you go 0.6 units right from -0.8, getting to -0.2
since there is no exact answer like that we can rearrange the addends 0.6-0.8, now:
we go from 0 6 tenths units to the right and get to 0.6, then we go from 0.6 eight tenths unit to the left to get to -0.2
The correct option is Option A: the number line goes from -1.6 to 1.6. An arrow goes from -0.8 to -0.2, and then backs from 0 to - 0.8.
What is a number line?
The number line is a straight line that is infinitely extended on which integers are placed in a unit interval.
Here given that we have to find the number line which shows -0.8 + 0.6
By checking all the options
Option A: in this option arrow goes from -0.8 to -0.2. the distance covered will be -0.2-(-0.8)= -0.2+0.8= 0.6. Then arrow backward from 0 to -0.8. then the distance will be -0.8-0= -0.8. So total displacement will be -0.8+0.6.
Hence option A is correct.
Option B: in this option arrow goes from 0 to -0.8 then the distance will be -0.8-0= -0.8. Then the arrow goes from -0.8 to -1.4. then the distance will be= -1.4-(-0.8)= -1.4+0.8= -0.6. So total displacement will be -0.8-0.6.
Hence Option B is incorrect.
Option C: in this option arrow goes from 0 to 0.8 then the distance will be =0.8-0= 0.8 then the arrow goes from 0.8 to 1.4. Then the distance will be 1.4-0.8= 0.6. So the total displacement will be 0.8+0.6
Hence Option C is incorrect.
Option D: in this option arrow goes from -0.6 to 0.2 then the distance will be 0.2-(-0.6)= 0.8 then the arrow goes from 0 to -0.6 then the distance will be= -0.6-0= -0.6. Then the total distance will be -0.6+0.8
Hence Option D is incorrect.
Therefore the correct option is Option A.
Learn more about the number line
here: https://brainly.com/question/24644930
#SPJ2
A girl flying a kite lets out 130 feet of string that makes an angle of 52° with the ground. If the string forms a straight line, how high is the kite above the ground? Hint: Draw a picture (triangle) and label. 80.04 feet 102.44 feet 166.39 feet 164.97 feet
Answers
Answer:
The height of the kite above the ground is 102 .44 feet
Step-by-step explanation:
To find the height of the kite above the ground, we will follow the steps below:
let h represent the height of the kite above the ground
we will use trigonometric ratio to solve
SOH CAH TOA
sinФ = opposite/hypotenuse
cosФ=adjacent / hypotenuse
tanФ=opposite / adjacent
from the diagram below
opposite = h
hypotenuse = 130 feet
Ф = 52°
The best trig ratio to use is sin
sin Ф = opposite / hypotenuse
sin52° = h / 130
cross-multiply
h = 130 sin 52°
h=102.44°
The height of the kite above the ground is 102 .44 feet
Which is a zero of the quadratic function f(x) = 9x2 - 54x – 19?
x= 1/3
x=3 1/3
Answers
Answer:
x =1/3
Step-by-step explanation:
the zero quadratic function is x=1/3
A planet has a circular orbit around a star. It is a distance of 59,000,000 km from the centre of the star. It orbits at an average speed of 41,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.
Answers
Answer:
380 days
Step-by-step explanation:
Problem in post:
The radius of the orbit of the planet is 59,000,000 km.
The orbit is circular, so the length of the orbit is the circumference of a circle with radius 59,000,000 km.
distance = circumference of orbit = 2(pi)r = 2 * 3.14159 * 59,000,000 km = 370,707,933 km
speed = 41,000 km/h
speed = distance/time
time * speed = distance
time = distance/speed
time = (370,707,933 km)/(41,000 km/h) = 9,042 hours
Now we convert hours into earth days.
1 earth day = 24 hours
9,042 hours * (1 day)/(24 hours) = 376.73 days
Answer: 380 days
Problem in comments:
Nina and Jo both ran an 8 km race.
Nina took 45 minutes to run the whole race.
Jo started the race 4 minutes later than Nina but caught up when they had both travelled 5 km.
If Nina and Jo both ran at constant speeds, what is Jo's speed to 2 dp?
Solution:
They met at 5 km. Let's find out how long it took Nina to run 5 km.
We can use a proportion.
(8 km)/(45 min) = (5 km)/(x)
x * 8 km = 45 min * 5 km
x = [(45 * 5)/8] min
x = 28.125 min
They met after Nina was running for 28.125 minutes.
Jo started 4 minutes after Nina, so Jo ran for 4 minutes less than Nina. Jo ran 5 km in 24.125 minutes.
speed = distance/time
speed = (5 km)/(24.125 min) * (60 min)/(1 hr)
speed = 12.43523 km/h
Answer: Jo's speed is 12.44 km/h
I need help with this question
Answers
-30(E+H=50)
-30E-30H=-1500
30E+60H=1950
(add the 2 equations)
0E+30H=450
H=15
(plug H into first equation)
E+15=50
E=35
Can someone help please
Answers
Answer:
9
Step-by-step explanation:
its perpendicular so you do the negative reciprical
Answer:
The correct answer is
A. 9
Step-by-step explanation:
Since the line is going up the slope will be positive... That leaves us with 2 options A/B. However the red line is much steeper and therefore has a greater slope so A is the answer.
Hope this helps!
- Quinn <3
Find the value of X
Plz help me it’s emergency
Answers
Answer:
x = - 2
Step-by-step explanation:
Using the rules of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]
Evaluating the numerator
9³ × 9 = [tex]9^{(3+1)}[/tex] = [tex]9^{4}[/tex] , thus
[tex]\frac{9^{4} }{9^{6} }[/tex]
= [tex]9^{(4-6)}[/tex] = [tex]9^{-2}[/tex]
and [tex]9^{-2}[/tex] = [tex]9^{x}[/tex]
Since bases on both sides are 9, then equate exponents
x = - 2
Please help! Read the question down below!
Answers
that leaves us with —-> 1 trip and 2 buckets
24 ( minus ) 30 = 6
3 ( times ) 2 = 6 ——> 1 trip and 2 buckets
ANSWERR ASAPP!!! I GIVE BRAINLIESTT!!
Answers
Please help! Read the question below!
Answers
Answer:1 quarter, 2 dimes and 1 nickel, 5 nickels, 3 nickels and 1 dime
Step-by-step explanation:
Point R has coordinates (-5, -7) and point T has coordinates (3,-3).
Which point is located 1/4 of the distance from point R to point T?
Enter x-coordinate of the point here
and they
coordinate of the point here
Answers
Answer:
(-3,-6)
x-coordinate = -3
(I think)
Step-by-step explanation:
The pictures show my explanation.
Hope this makes sense! I hope this helps! Have a great day! :)
3a) What is the side length of the following square?*
Answers
Answer:
5.831
Step-by-step explanation:
This is a similar problem to the last 2 you posted.
Start at bottom vertex. Go up 5. Go left 3.
c^2 = a^2 + b^2
c^2 = 5^2 + 3^2
c^2 = 25 + 9
c^2 = 34
c = sqrt(34)
c = 5.831
Hank’s age is 15 years less than twice his sister’ s age. If Hank’s sister is 22 years old, how old is Hank?
Answers
Answer:
29
Step-by-step explanation:
2s-15=h
2(22)-15=h
44-15=h
29=h
Answer:
29
Step-by-step explanation:
22 multiplied by 2 is equal to 44. Subtract 15 from 44 and you get 29.
Someone help me ASAP please
Answers
Answer:
Step-by-step explanation:
use a^2+b^2=c^2.
5^2+7^2=c^2
25+49=c^2
sqrt74= 8.6 so side c is about 8 units
Answer:
C. about 8 units
Step-by-step explanation:
correct answer is c
I will give brainliest answer and upvote
Answers
Answer:
397.39
Step-by-step explanation:
steps are all stated in the picture, basically use area of circle minus area of rectangle will give you the shaded area
i need help please....
Answers
Answer:
34
Step-by-step explanation:
area = (1/2)base * height.
area= half of 17 times 4
a=8.5 x 4
a=34
Answer: C
Step-by-step explanation:
Area = 1/2 bh
Area = 1/2 x 4 x 17
= 34 sq inches
What is the volume of a figure with that is 6 inches wide, 3 inches tall and 4 inches long?
Answers
Answer:
6*3*4 = 24*3 = 72 in^3
Answer:
72 cubic inches
Steps:
6*3*4 = 72
Description:
So its asking what is the volume. We know that we need to multiply. SO we get all the numbers from the question that is 6, 3 and 4. Multiply 6 times 3 times 4. You will get the answer that is 72.
Answer: 72 cubic inches
Please mark brainliest
Hope this helps.
Is (–6, 6) a solution to the equation y = –x?
Answers
Answer:
yes
Step-by-step explanation:
y = –x
Substitute the point into the equation
6 = - (-6)
6 = 6
This is true so the point is a solution to the equation
Which expression is equivalent to
15a8b4/5a4b?
Answers
Answer:
[tex]3a^4b^3[/tex]
Step-by-step explanation:
[tex]\frac{15a^8b^4}{5a^4b}\\\mathrm{Divide\:the\:numbers:}\:\frac{15}{5}=3\\=\frac{3a^8b^4}{a^4b}\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\frac{a^8}{a^4}=a^{8-4}\\=\frac{3b^4a^{8-4}}{b}\\\mathrm{Subtract\:the\:numbers:}\:8-4=4\\=\frac{3a^4b^4}{b}\\\mathrm{Cancel\:the\:common\:factor:}\:b\\3a^4b^3[/tex]
What is the difference between (8y-7) and (1-3y)?
Answers
________________________________
Solution,
(8y-7)-(1-3y)
= 8y-7-1+3y
= 8y+3y-7-1
=11y-8
Hope it helps
Good luck on your assignment
_____________________________
In a basketball tournament, Team A scored 5 less than twice as many points as Team B. Team C scored 80 more points than Team B. The combined score for all three teams was 983 points. Let the variable b represent Team B’s total points. The equation representing this scenario is (2b – 5) + b + (b + 80) = 983. Team B scored 227 total points.
Which statement is true based on the information?
Team A scored 307 points.
Team C scored 307 points.
Team A scored twice as many points as Team C.
The sum of the points scored by the three teams is 841.
Answers
Answer: The correct answer is B or Team C scored 307 points.
Step-by-step explanation:
Answer:
Choice B. Team C scored 307 points.
Step-by-step explanation:
Team B scored 227 points.
Choice A:
Team A: 2b - 5 = 2(227) - 5 = 454 - 5 = 449
Choice A is false.
Choice B:
Team C: b + 80 = 227 + 80 = 307
Choice B is true.
Choice C:
2 * 307 = 614
614 is not the same as 449.
Choice C is false.
Choice D:
The sum of the points is given as 983.
Choice D is false.
Answer: Choice B. Team C scored 307 points.
5x=29x what is the value of x
Answers
Answer:
x = 0
Step-by-step explanation:
5x=29x
Subtract 5x from each side
5x-5x=29x-5x
0 = 24x
Divide each side by 24
0/24 =24x/24
0 = x
PLEASE HELP ME !!!!!!!!!!
Answers
Answer:
x=139
Step-by-step explanation:
since a straight line is equal to 180 degrees line LN is 180 degrees therefore to figure x you must subtract 41 from 180 to get 139 hope this helps! :)
Answer:
z = 139°
Step-by-step explanation:
LON is a straight angle (an angle with 180°). You can tell just by looking at it.
41° is a supplement (meaning it adds up to 180°) of z.
From there you can just do
180° - 41° = 139°
z° = 139°
hope this help brainliest is always cool
While on the golf course last weekend Marc hit into the rough landing the ball behind a tall tree. His best option was to get it high enough to get over the tree and hopefully come down in the fairway for his next shot. So with a mighty swing he hit the ball into the air and was surprised to see the ball hit near the top of a 300 foot tall tower that he had not noticed. The formula for this shot is: h(x)= -16x^2+120 where h is the height of the ball and x is the number of seconds the ball is in the air.
Question 1. How high did Marc actually hit the ball?
Later during that same golf outing, Marc decided to show off by trying to hit the green in one shot. So with his macho swing, he said he hit the green as the ball hung in the air for 15 seconds. The formula for this shot is: h(x)= -16x^2+200x
Question 2. How long did the ball actually hang in the air?
Answers
Answer:
120 ft at 0 seconds
Question 2: 12.5 seconds in the air
Step-by-step explanation:
h(x)= -16x^2+120
We want to find the vertex
The vertex is at
h = -b/2a = 0/-32 = 0
The maximum is at 0
h(0) = 0+120 = 120
it occurs at 0 seconds and a height of 120 ft
h(x)= -16x^2+200x
We want to find the zeros of the function
0= -16x^2+200x
Factor out -8x
0 = -8x(2x -25)
Using the zero product property
-8x=0 2x-25 =0
x =0 2x =25
x=25/2
The ball starts on the ground at 0 seconds and lands at 12.5 seconds
Graph the following line on the axes provided:
F(x)=5/4x+1
Can you guys please help me am struggling with this
Answers
When a number is decreased by 5%, the result is 20. What is the original number to the nearest tenth?
Answers
Step-by-step explanation:
so round up is b equal a plus 10....
which is lighter 900000g or 9 tonnes
Answers
900000g coz 9 tonnes is like 9000000g
Answer:
900000gm is lighter than 9 tonnes
Step-by-step explanation:
907185 = 1 ton
907185 x 9 = 8164665
You underline how many digits = 7 and see that 900000gm has only 6 digits.
Need Help ASAP will give brainliest!!!!
Answers
Answer:
Puppy' present weight = 2250 grams
Puppy last weight = 600 grams
Difference = 2250-600 = 1650
%age increase = (1650/600) x 100
= 275%
