Hi there! Before we start with your problem. Recall the Trigonometric Function of (-x) first.
sin(-x) = -sinx cos(-x) = cosxtan(-x) = -tanxNow what we need to do is to imagine a unit circle. We know that angle (-x) rotate clockwise while (x) rotates counterclockwise.
Now imagine if it rotates clockwise, it:d start at the fourth quadrant first. That means the y-value is negative while x-value is positive.
We also know that (x, y) = (cos, sin)
Now move to the 2(pi)/3.
[tex] \large{ \frac{2 \pi}{ 3} = \frac{2(180)}{3} \longrightarrow 2(60)= \boxed{120 \degree}}[/tex]
Thus, the value of 2pi/3 is 120°
Now imagine again. In a unit circle, 120° is in second quadrant if we rotate counterclockwise. But if we rotate clockwise, where would the 120° be? Remember that (-x) rotates clockwise. That's right! (-120°) is in the third quadrant. In the third quadrant, cos is negative there along with sin.
So we can conclude that:
cos(-120°) is in third quadrant. cos and sin are negative in third quadrant.120° is also a reference angle of 60° because of 180°-60° = 120°
Thus,
[tex] \large{cos( - \frac{2 \pi}{3} )= cos( - 120 \degree) = cos(120 \degree) \longrightarrow - \frac{1}{2} }[/tex]
Answer/Conclusions
cos(-2pi/3) = -1/2cos(-2pi/3) use the reference of 60°cos(-2pi/3) is in third quadrant.The nutrition committee at a middle school has decided to find out which vegetables are most popular among the 500 students at the school. Which sampling method is the BEST choice to use?
Ask all the students from a randomly chosen class of 25 students to choose their favorite vegetables.
Ask 100 randomly chosen students from the student population to choose their favorite vegetables.
Ask the parents of 100 randomly chosen students to choose their favorite vegetables.
Ask 25 students who have purchased vegetables during lunch to choose their favorite vegetables.
Please help. Thank you
Answer:
y=10x
Step-by-step explanation:
The slope is 10/1 and it's positive.
i need help, agian. please help me
Answer:
It’s a
Step-by-step explanation:
Because it rotates in a 90 degree angle
Answer:
A or the 1st one
Step-by-step explanation:
PLLLZZ HELP I WILL GIVE BRAINLIEST
Answer:
First of all, the subjects Tammy used were from her math class. And of course, people from a math class probably like math more than other subject. Otherwise, why are they in math?
Step-by-step explanation:
#fax
Don't use my exact wording. Some of your points might be cut off.
Karen uses 9.3 pints of blue paint and white paint to paint her bedroom walls. 3/5 of this amount is blue paint, and the rest is white paint. How many pints of white paint did she use to paint her bedroom walls?
Answer:
3.72
Step-by-step explanation:
ok so what i did was i did 2/5 of 9.3 and i got 3.72.
Use net to find the surface area of the regular pyramid. Thanks.
Answer:
178.3 mm
Step-by-step explanation:
PLS HELPP FIRST TO BE CORRECT WILL GIVE BRANLIEST!!
Answer:
Step-by-step explanation:
circumference=2πr
=2*3.14*7.8
=48.98 m
Answer:
C
Step-by-step explanation:
7.8x2=15.6 <----- thats the diameter
15.6x3.14=48.984
QUESTION AND DIAGRAM IN PICTURE
BRAINLIEST TO CORRECT ANSWER
Answer:
h=square root of 55
area of triangle=15*square root of 5
Step-by-step explanation:
Answer:
a. 7.4 cm
b. 22.2 cm²
Step-by-step explanation:
a. Apply Pythagorean theorem to find h.
c² = a² + b²
Where,
c = 8 cm
a = 3 cm
b = h cm = ?
Plug in the values
8² = 3² + h²
64 = 9 + h²
64 - 9 = h²
55 = h²
h = √55
h ≈ 7.4 cm
b. Area of the triangle = ½*bh
b = 6 cm
h = 7.4 cm
Area = ½*6*7.4
Area = 22.2 cm²
Meredith drew the shape below
Find the area of the shape. Enter the values to explain your answer.
The area is __ square feet. You can subtracts the area by two 3x ___ rectangular corners from the large 12 x ___ rectangle around the polygon.
Answer:
156 - area
Step-by-step explanation:
The area is 156 square feet. You can subtract the area by two 3x 7 rectangular corners from the large 12 x 6 rectangle around the polygon.
What’s the product of
4 5 2
×______
3 6
Also can someone tell me what product means in this situation I’m confused?
Step-by-step explanation:
[tex]452 \\ \times 36[/tex]
16272
Answer:
16,272
Step-by-step explanation:
And a product is what the answer to a Multiplication problem is called
(New Rank Reward) Determine the coordinates of the x-intercepts of the parabola.
Answer:
(2,0), (6,0)
Step-by-step explanation:
X-intercepts are just points that are on the x-line. The two points that are on the x-line is (2,0) and (6,0). Therefore, those are the x-intercepts.
If this helps please mark as brainliest
Answer:
(2,0)
(6,0)
Step-by-step explanation:
The X intercept is any point that touches the X-axis on the graph (The X-axis the line that goes from left to right).
From looking at this parabola, we can see that it touches the x-axis twice, at the points (2,0) and (6,0).
Please give me brainliest if I helped!
Can someone please hel pme with these two?
what are the fractions there both different by the way
Answer:
1/3 and 29 1/3
Step-by-step explanation:
Solve this pls. Will give brainliest
Answer:
1. The result can be shown in multiple forms.
Exact Form:
73/14
Decimal Form:
5.21428571…
Mixed Number Form:
5(3/14)
2. The result can be shown in multiple forms.
Exact Form: 15/72
Decimal Form: 78.5
Mixed Number Form: 7(8/12)
3. The result can be shown in multiple forms.
Exact Form: 1373/12
Decimal Form: 114.416
Mixed Number Form: 114(5/12)
4. The result can be shown in multiple forms.
Exact Form: 3079/744
Decimal Form: 4.13844086…
Mixed Number Form: 4(103/744)
Step-by-step explanation:
Find the area of the composite figure.
A = 168 cm
A = 96 cm
A = 264 cm
A = 216 cm
Answer:
216 cm squared
Step-by-step explanation:
14*12 for rectangle area=168 because of l*w
for the triangle: 12 * 8 =96/2=48 because of A=1/2 * b*h
area equals 168+48=216 cm squared
What is the weight of 20 packets , if each packet weighs 3 kg.
How do humans maintain homeostasis in space?
Answer:
In space, astronauts lose fluid volume—including up to 22% of their blood volume. Because it has less blood to pump, the heart will atrophy.
Step-by-step explanation:
Why is this on math?
Choose one group of cubes that forms a rectangular prism that has given dimensions, then Find surface area of prism.
3 x 4 x 1. Thanks, no links.
Answer:
Step-by-step explanation:
Use the algebra tiles to help you solve the equation
3x - 5 = 7.
the given equation is 3x-5=7
so directly talking about results
3x=7+5
3x=12
x=4
now you have the given results now prepare this algebra tiles according to the results
WILL MARK BRainliest
answer choices: 1/3 | 1/2 | 2/3 | 3/5
Answer:
1/3
Step-by-step explanation:
First Spin: There are 3 but I have only 1 = 1/3
Second Spin: There are 4 but I have only 1 = 1/4
Write and solve an equation to determine the value of the variable. Then determine the measure of each angle in the diagram
Step-by-step explanation:
[tex]7x + 21 = 5x + 3 \\ 7x - 5x = -21 + 3 \\ 2x = - 19 \\ x = - 19 \div 2 \\ x = - 9.5[/tex]
Annika weighed boxes for shipping
books to customers. The first box
weighed 160 ounces, the second box
weighed 10 pounds, and the third box
weighed ton. Which box weighed
200
the most?
Answer:
The box which weights a ton.
Step-by-step explanation:
Ounces are smaller than pounds, and pounds are smaller than a ton.
Answer:
The third box weighed the most.
Step-by-step explanation:
Tons weigh a lot more than pounds and ounces.
Kim deposited $1,422 into a savings account. After 5 years, she had a total of $1,635.30 in her account. What is the interest rate?
Answer:
1.3%
Step-by-step explanation:
I NEED HELP ASAP
"Find the measure of each angle in the following diagram"
Answer:
Each angle is 60°
Step-by-step explanation:
The 2 angles are equal to each other because they're alternate exterior angles:
10x - 20 = 7x + 4
10x - 7x = 4 + 20
3x = 24
x = 8
10x - 20
10(8) - 20
80 - 20
60
Since these angles are exterior angles, their angle measures are equal so they both are 60°
10 points pls help!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Independent
Step-by-step explanation:
Answer:
Independent
Step-by-step explanation:
Independent means whatever the outcome is it doesn't affect the other outcome. The number the the dice rolls will not determine what color it lands on
easy math please help
1) False
Adjacent angles must share a common side/ray.
2) B and D
Adjacent angles are those that are directly next to each other and share a common side.
3) C
Angles 1 and 2 are congruent. Angles 3 and 4 are congruent. Both of these pairs have angles that are opposite each other.
4) B
Angles 1 and 2 add up to 180. Angles 3 and 4 add up to 180. Both of these pairs of angles are supplementary.
5) A
These angles are directly next to each other and share a common side.
Hope this helps!! :)
Hurry I Will Give Brainliest!!
Main Idea: Congruent Angles
Fill In The Blanks:
*If an angle is labeled with a single letter, that letter represents the _____ of the angle.
*If more than one angle has the same vertex, you must use ____ points to name the angle. The _____________ point named must be the vertex.
Answers:
Vertex3middleIf an angle is labeled with a single letter, that letter represents the vertex of the angle.
If more than one angle has the same vertex, you must use 3 points to name the angle. The middle point named must be the vertex.
=================================================================
Explanation:
If we have a single triangle, and no other extra lines, then we can use single letters to name the three angles. Each vertex of the triangle corresponds to the vertex of that angle.
If you were to draw many triangles, in which some may or may not overlap, you'll mostly likely need to name the angle using 3 letters. This is so you are very specific about which angle you're talking about. The middle letter is always the vertex. The left and right letters are points on the arms of the angle. The order of the left and right letters doesn't matter as long as the middle letter stays the same. So something like angle ABC is the same as angle CBA.
please help now i need this quick
Answer: For question number 9. It is C. 36
For question number 10. Your answer is A. 3/7
Have a nice day!
Answer:
9: D
10: D
Explination:
its D for 10 because there are four prime numbers in the equation 2, 3, 5, 7
A prism has the base given below. If the height of the prism is 9 units, what is the volume of the prism
9 sq units
5 sq units
405 sq units
225 sq unit
Answer:
B. 5 sq units
Step-by-step explanation:
9 - 4
5
help me please and thank you
Answer:
Pretty sure it's y = -3/2x+4
Step-by-step explanation: