Consider an angle with a measure of θ=225∘.
Sketch a diagram representing the situation.
Determine the measure of the reference angle for this angle.
_______°
Now, determine the exact values of the following expressions. Your answers should include fractions and square roots, and not decimal values.
cos(θ)=
sin(θ)=
tan(θ)=
Answers
Answer:
cos 225° = [tex]-\frac{\sqrt{2} }{2}[/tex]
sin 225° = [tex]-\frac{\sqrt{2} }{2}[/tex]
tan 225° = 1
Step-by-step explanation:
I cannot sketch a diagram, but a 225° angle is a 3rd quadrant angle and the reference angle is 45° (225 - 180 = 45)
cos and sin are negative in the 3rd quadrant and the tan is positive
cos 225° = - cos 45° = [tex]-\frac{\sqrt{2} }{2}[/tex]
sin 225° = -sin 45° = [tex]-\frac{\sqrt{2} }{2}[/tex]
tan 225° = tan 45° = 1
Related Questions
Can someone please help meeeee
Answers
Answer:
45°
Step-by-step explanation:
The angle with measure of 9x and the angle with measure of 3x are supplementary
9x + 3x = 180°
12x = 180 divide both sides by 12
x = 15
The angle with measure of 9x and angle a are supplementary as well
9x + a = 180
9×15 + a = 180
135 + a = 180 subtract 135 ftom both sides
a = 45°
The piping connection to the vacuum pump should be
Answers
Answer: Micron gauges (electronic vacuum gauges) should be connected directly to the system – not at the pump – to check the vacuum at the system
Step-by-step explanation:
Answer i am smart
Step-by-step explanation:
what does 1 4/9 - 1/2= to?
Answers
1 4/18 - 1/18 change the numerator
1 8/18 - 9/18
u need to change 1 8/18 to an improper fraction
it would be 26/18 - 9/18
=18/18
which is 1 if u reduce
Find the measure of the angle indicated in bold
Answers
i came to this conclusion when using this equation: 15x+5=2+16x
for x, i got 3.
using my x-value, i replace “x” with “3” when solving angle measure, “15(3)+5”
15(3)+5= 50
there is your answer!
Write the equation of a quadratic function who has the vertex of (4,-7)
Answers
Given:
The vertex of a quadratic function is (4,-7).
To find:
The equation of the quadratic function.
Solution:
The vertex form of a quadratic function is:
[tex]y=a(x-h)^2+k[/tex] ...(i)
Where a is a constant and (h,k) is vertex.
The vertex is at point (4,-7).
Putting h=4 and k=-7 in (i), we get
[tex]y=a(x-4)^2+(-7)[/tex]
[tex]y=a(x-4)^2-7[/tex]
The required equation of the quadratic function is [tex]y=a(x-4)^2-7[/tex] where, a is a constant.
Putting a=1, we get
[tex]y=(1)(x-4)^2-7[/tex]
[tex]y=(x^2-8x+16)-7[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]y=x^2-8x+9[/tex]
Therefore, the required quadratic function is [tex]y=x^2-8x+9[/tex].
What is the range of the following exponential function?plz help asap
Answers
Answer:
0.23
Step-by-step explanation:
Is it 1,2,3 or 4
Look at the picture.
Thank u!
Answers
Answer:
4896 sq units
Step-by-step explanation:
A = lw
multiply 48 to 102
is there estimates that her dinner has 48g of fat in it what percentage of her total daily allowance of fat does her meal contain her total daily allowance of fat is 70 grams
Answers
Answer: The meal contains 68.57% of her daily allowance of fat
Step-by-step explanation:
We know that in the dinner, there is a total of 48g of fat.
We also know that her daily dose of fat is 70g, so this will be "the 100%", then we can write:
70g = 100%
Under this point of view, we also can relate the 48g of the dinner to another percentage X%, such that:
48g = X%
Then we have two equations:
48g = X%
70g = 100%
To solve this, we can take the quotient of these two equations to get:
(48g/70g) = (X%/100%)
Now we want to solve this for X%, then we need to isolate X%:
(48g/70g)*100% = X%
68.57% = X%
This means that 48 grams of fat are 68.57% of her daily allowance.
Answer this correctly I’ll give brainalist + 10 points
Answers
Answer:that means it d
Step-by-step explanation:
A right triangle with vertices P(-3,9) Q(-3,5) R(-7,5) is reflected on the y-axis then the image is rotated 180 degrees about the origin. What are the new coordinates of the right triangle?
I cant understand
Answers
PLEASE HELP ASAP GEOMETRY 20 POINTS REAL ANSWERS ONLY!
Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
C = 122.2°
a = 8 km
b = 10.4 km
Answers
Answer:
16.2
Step-by-step explanation:
Use the law of cos
c^2 = 8^2+10.4^2-2*8*10.4*cos(122.2 degrees)
=260.83
c = √260.83 = 16.15
The missing side of the triangle is 16.2 km (round to the nearest tenth)
What is law of cosines ?
If a, b, c are sides of a triangle & C be the angle opposite to side c, then
c²=a²+b²-2ab cosC
What is the missing side ?Here, in the given question, a = 8km & b = 10.4 km
Also the angle opposite to the third side c (say) is C = 122.2°
So, according to the law of cosines,
c²=(8)²+(10.4)²-2(8)(10.4) cos(122.2°)
⇒ c²= 64+108.16-(-88.67)
⇒ c²= 172.16+88.67
⇒ c²= 260.83
⇒ c= √(260.83)
⇒ c= 16.15 = 16.2(approx)
So, the missing side = 16.2 km
Learn more about law of cosines here :
https://brainly.com/question/8288607
#SPJ2
Ahmad made a shirt using 1/4 yards of yellow fabric and 1/8 yards of red fabric. How many more yards of yellow fabric did Ahmad use?
Answers
Answer: 1/8
Step-by-step explanation:
convert 1/4 to eighths
1/4 x 2 = 2/8
2/8 yellow fabric - 1/8 red fabric = 1/8
HELP ME PLEASEEEEEEEE
Answers
mmmmmmmmmmmmmmmmmmmmm
Answer:
25
Step-by-step explanation:
Which figures always have right angles
Answers
Answer:
rectangles, squares, and right triangles
Sierra has 24.48 ft. of ribbon. She will use all the ribbon to create 5 bows. About how much ribbon will she use on each bow?
Answers
Answer:
the answer is 4.8 brainy plss
Answer:
If all the bows are of equal size she will use 4.896 ft of ribbon for each bow
Step-by-step explanation:
24.48/5=4.896
Hope this helps :)
Team A has a winning probability of 7/10 . team b has winning probability of 0.427 . which team has the higher probability of winning?
Answers
Answer:
i dont know
Step-by-step explanation:
What is 79.2 divided by 2.55
Answers
Find the length (in centimeters) of a 90° arc in a circle where the diameter measures 70 centimeters.
Answers
Answer:
[tex]\frac{1}{4}[/tex]×2[tex]\pi[/tex]r=17.5[tex]\pi[/tex]
Step-by-step explanation:
I rlly need help with this if you answer correctly I'll mark you as brainliest so pls answer correctly pls and ty
Answers
for the first because the scatter point is going up in a positive slope so I’m assuming that’s what positive correlation means.. as the dinosaurs length increases the weight increases
B
For the second one , if you plot the dots there’s no relationship .. they’re all over the place
Given a function described as the graph below, what is y when x is 3?
Answers
WHERE IS THE GRAPH. there needs to be a graph to answer the question
Answer:6
Step-by-step explanation:
Uop
Martina is baking bread. She mixes 1 and 3/4 cups of flour with other ingredients. Then she adds 4 and 1/2 cups of flour to the mixture. How many cups of flour does she need? Solve this problem any way you choose.
Answers
First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2)
First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsFirst you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)
First you add the whole numbers 1 + 4 which will be 5Then you add the fractions. To do that you have to make sure that the denominators are the same (in this case they are not). So you multiply the fraction by a number so the denominators can equal each other.1 (4) /2 (4) + 3 (2) / 4 (2) *always remember to simplify the fractionsAfter adding the fractions, you just have to add it to the whole number (5)
Hope this helps.❤Select the true statement about triangle ABC.
A. sin A = sin C
B. sin A = cos B
C. sin A = cos C
D. sin A = tan c
Answers
Linda took a math test and got 68 correct answers and 12 incorrect answers. What is the percentage of incorrect answers
Answers
Answer:
Approximately [tex]17.6[/tex] percent
Step-by-step explanation:
To find a percentage, take the part, divide it by the whole, and multiply that quotient by 100. As an algebraic expression, that would be [tex]\frac{part}{whole}*100[/tex].
In this case, the part is [tex]12[/tex] and the whole is [tex]68[/tex]. Therefore, our answer is [tex]\frac{12}{68}*100\approx17.6[/tex] percent. Hope this helps!
Answer: About 17.6%
Step-by-step explanation: "Per" means 100. So, to get a percentage, we can divide the numerator by the denominator then multiply the quotient by 100. Or, you can say it like this: [tex]\frac{Numerator}{Denominator} =quotient*100[/tex]
As we see, 12 is the numerator, and 68 is the denominator. Now, we can divide.
12 ÷ 68 = 0.176
We're not done yet, we'll need to multiply the quotient by 100, as in the formula.
0.176 × 100 = 17.6
Hence, 17.6% is the answer.
Let me know if you have any questions or comments.
~ Lily, from Brainly.
k(k + 1)(k + 2) – 3k(k + 1)
Need a step-by-step guide on how to factor this completely
Answers
Answer:
Step-by-step explanation:
k(k+1)(k+2) - 3k(k+1)
k and (k+1) are common to both terms.
k(k+1)(k+2) - 3k(k+1) = k(k+1)[(k+2) - 3] = k(k+1)(k-1)
What is the answer to the question
WILL MARK BRAINLYEST
Answers
Answer:
10
Step-by-step explanation:
3^3-5^2+8 = 10
Answer:
6
Step-by-step explanation:
Question: What is g³ - h² + 8, when g= 3, h = 5
Substitute the given values
3³ - 5² + 8
Simplify exponents- remember, 3³ = 3 * 3 * 3, and 5² = 5 * 5
27 - 25 + 8
Simplify
-2 + 8 =
6
I hope this helps! Feel free to ask any questions! :)
3x/5 - 2 = x + 1/3
Solve the equation above for x.
Answers
Can 4 in, 2 in., 8 in make a triangle.
Answers
A student is solving the problem X to the power of 2+10x+ __=16+ __ my method of completing the square. What number should the student add to both sides?
A) 4
B)5
C) 25
D) 16
Answers
Answer: C) 25
Step-by-step explanation:
x²+10x+ __=16+ __
Only the square of 5, 5², which is 25, can make the two factors plus equal to 10x, so we need to add 25.
Individual bottles of water are filled by a machine at a factory with an amount of water that is approximately normal with a mean of 505\,\text{mL}505mL505, start text, m, L, end text and a standard deviation of 10\,\text{mL}10mL10, start text, m, L, end text. A random sample of 161616 bottles is selected for a quality inspection. What is the probability that the mean amount of water in these 161616 bottles \bar x x ˉ x, with, \bar, on top is within 5\,\text{mL}5mL5, start text, m, L, end text of the population mean?
Answers
Answer:
P(500< xˉ <510)≈0.95
Step-by-step explanation:
Khan Academy
If x = -8, then which of the following equations makes a true statement?
A. 3x - 5 = -23
B. 2x - 2 = -18
C. 2x - 1 = -10
D. 3x - 1 = -16