Which of the following best explains why tangent StartFraction 5 pi Over 6 EndFraction not-equals tangent StartFraction 5 pi Over 3 EndFraction? The angles do not have the same reference angle. Tangent is positive in the second quadrant and negative in the fourth quadrant. Tangent is negative in the second quadrant and positive in the fourth quadrant. The angles do not have the same reference angle or the same sign.
Using reference angles, it is found that the correct option is:
The angles do not have the same reference angle.Angle [tex]\frac{5\pi}{6}[/tex] is on the second quadrant, [tex]\frac{\pi}{2} < \frac{5\pi}{6} < \pi[/tex].
On the second quadrant, the tangent is negative, as the sine is positive and the cosine is negative.The reference angle is found subtracting [tex]\pi[/tex] from the angle, hence:[tex]\pi - \frac{5\pi}{6} = \frac{6\pi}{6} - \frac{5\pi}{6} = \frac{\pi}{6}[/tex]
Angle [tex]\frac{5\pi}{3}[/tex] is on the fourth quadrant, [tex]\frac{3\pi}{2} < \frac{5\pi}{3} < 2\pi[/tex].
On the second quadrant, the tangent is negative, as the sine is negative and the cosine is positive.The reference angle is found subtracting [tex]2\pi[/tex] from the angle, hence:[tex]2\pi - \frac{5\pi}{3} = \frac{6\pi}{3} - \frac{5\pi}{3} = \frac{\pi}{3}[/tex]
They have different reference angles, hence:
The angles do not have the same reference angle.For more on angles, you can check https://brainly.com/question/24787111
Answer:
A
Step-by-step explanation:
A
Two fractions in the middle of 1/4 and 3/4
In parallelogram ABCD, the following is true: m
m
m
m
m
m
Step-by-step explanation:
pa brainlest po hope it helpWhat is 0.02349 written in standard form to 3 significant figures
Solve from right to left
[tex]\\ \sf\Rrightarrow 0.02349[/tex]
[tex]\\ \sf\Rrightarrow 0.0235\times 10^{-1}[/tex]
[tex]\\ \sf\Rrightarrow 2.35\times 10^{-3}[/tex]
Option C is correct
How do you solve : 3x^4 - 11x^3 -x^2 + 19x + 6
You can't use long division in this equation.
Step-by-step explanation:
This is a polynomial so we can use rational roots Theorem to solve the equation.
The rational roots simply states that the roots of a polynomial, in the form of
[tex]p{x}^{n} + ax {}^{n - 1} + bx {}^{n - 2} .....r {}^{0} [/tex]
The possible roots of the polynomial are the factors of
p/r.
We say r^0 to represent the constant and p to represent the leading coeffceint.
So the rational roots states the possible roots of a polynomial is
the factors of leading coeffceint/ the factors of the constant.
In this case, the polynomial leading coeffecient is 3 and its constant is 6 so we do the factors of 3 divided by the factors of 6.
The factors of 3, are plus or minus 1 and 3. divided by factors of 6 which are plus or minus 1,2,3,6. So our possible roots are
positive or negative (1,1/2, 1/3,1/6, 3, 3/2).
Now, we see which of the following roots will that the polynomial, P will equal zero.
It seems that -1 can work so by definition, (x+1) is the a factor of the polynomial. So now we use synetheic or long division to cancel out that factor.
So our factored version of the polynomial is
[tex](x + 1)(3x {}^{3} - 14 {x}^{2} + 13x + 6)[/tex]
Now can we continue and factor the right side of the factors.
3 also works so x-3 is a factor as well so
[tex](3 {x}^{2} - 5x - 2)(x + 1)(x - 3)[/tex]
Now factor the quadratic using factoring by grouping
[tex]3 {x}^{2} - 5x - 2 = 3 {x}^{2} - 6x + x - 2 = 3x(x - 2) + 1(x - 2) [/tex]
So our factor are
[tex](3x + 1)(x - 2)[/tex]
So in conclusion our factors are
[tex](3x + 1)(x - 2)(x + 1)(x - 3)[/tex]
And our x values are -1/3, 2, -1, and 3.
lois made a dish with 6 1/3 cups of pasta . One serving of the pasta is 0.2 cups. How many servings of pasta were in the dish Lous made?
Answer:
33 2/3
Step-by-step explanation:
First you would change 0.2 to a fraction. This would be 1/5. You would then have to make these two have a common denominator. 6 1/3 would also become an improper fraction for visual sake.. The lowest common denominator they share is 15. I've drawn the process in the image above.
So now we have 95/15 and 3/15. From here, we would divide 95 by 3.
95 ÷ 3 = 31 10/15
This would give us 31 and 10/15 servings of pasta in the bowl. If we're talking about full servings, 31 would be the correct number, but if we're talking exact, then it is 31 2/3.
Bambino's Pizza is offering $56 per shift and $20.50 in commission for each pizza delivery write a linear equation with a greater Y- intercept and slope in Bambino's Pizza
Answer:
Y = 56X + 20.50
Step-by-step explanation:
y=mx+c
Assuming that the y intercept is an additional numeral constantly given in a linear function. and the slope represented by the main wage of the job while concluding that it's the slope since it implies rate of change.
hope it's correct
Find the value of x?
Answer:
x = 40
Step-by-step explanation:
measure of the angles = 1/2( outside arc - inside arc)
x/2 = 1/2[x + 70 - (x + 30)]
x/2 = 1/2 ( x + 70 - x - 30)
x/2 = 1/2 (40)
2(x/2) = 2(1/2)(40)
x = 40
A man borrowed Rs.8000 for one year at the rate of 15% per annum. Find
the interest
Answer:
I = 8000×1×15
--------------
100
I = 120000
----------
100
I = Rs 1200
This is a plan view of a garden. The grass (shaded) has an area of 64 square metres. What is the length of the sides labelled x?
A. 5.5m
B. 6.0m
C. 6.8m
D. 9.0m
Please answer
The length of the sides of the square labelled x is b. 6.0 m.
Recall:
The formula for the area of a square with equal side, s, is given as s².Given that the grass area is 64 sq. meters, to find the length of the sides labelled x, first find the area tat has sides labelled x.
Area = Total area of the garden - 64 sq. m
Area = (10 × 10) - 64
Area = 36 sq. m.
Area of square = s²
Lex x = s
Therefore:x² = 36
Take the square root of both sidesx = 6 m
Therefore, the length of the sides of the square labelled x is b. 6.0 m.
Learn more about area of a square on:
https://brainly.com/question/16758129
What is the common ratio for the geometric sequence below, written as a fraction? 768, 480, 300, 187. 5, … /.
The common ratio for the given geometric sequence, written as a fraction is [tex]\frac{5}{8}[/tex]
Given the following geometric sequence:
768, 480, 300, 187. 5To determine the common ratio for the given geometric sequence:
The common ratio of a geometric sequence refers to the ratio or constant factor between two (2) consecutive numbers in the sequence.
Mathematically, the common ratio of a geometric sequence is given by the formula:
[tex]C=\frac{T_{n+1}}{T_n}[/tex]
Substituting the given parameters into the formula, we have;
[tex]C = \frac{300}{480} \\\\C=\frac{30}{48} \\\\C=\frac{5}{8}[/tex]
Read more: https://brainly.com/question/13162487
Use the figure to find the measure of
Answer:
m∠URV = 124°
Step-by-step explanation:
hope this helps
Answer:
what is the work to figure out the anwser?
Step-by-step explanation:
Y= 3x — 5 what is the slope and y-intercept
Convert the following from factored form to standard form.
f\left(x\right)=\left(x+5\right)\left(x-1\right)f(x)=(x+5)(x−1)
Answer:
the mmic is back still swords rund eep
Step-by-step explanation:
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
3:7
Step-by-step explanation:
She has 3 tennis and 7 soccer
If today is Saturday, what day will it be 70 days from now?
Answer:
If today is Saturday, then after 70 days, we will be on a Saturday again.
Step-by-step explanation:
Basically, 70 days = 10 weeks
Which means: 1 week = 7 days
We also know that if we are on a Saturday, then after a week, we will be on a Saturday again. Therefore, if we are on a Saturday, after 10 weeks or 70 days, we will be on a Saturday again.
Hoped this helped.
if z=3+i/3-i find the value of 1/z and z+1/z
What is the perimeter?
8 m
4 m
4 m
12 m
meters
Submit
HELP ME GUYS THANK YOU! :)
Step-by-step explanation:
y=5(-1)+3
y=-5+3
y=—2
y=5(0)+3
y=3
y=5(1)+3
y=5+3
y=8
y=5(2)+3
y=10+3
y=13
A force of 75 N at an angle of 15° to the direction of motion moves a chair 3 m. Which change would result in more work being done on the chair?
Answer:
Reducing the angle to where the force is more in line with the direction of motion.
Step-by-step explanation:
Work is commonly defined as force * distance. Since the 75N force is not acting directly in line with the direction of motion (15 degrees offset), we are not utilizing the full 75 N in moving the object. By reducing the angle of offset, we allow more of the force to be used in moving the object and therefore increase the amount of work being done.
Answer:
Decreasing the angle to 10
Step-by-step explanation:
Find the area of triangle ABC. Give your answer correct to 1 decimal place. A 9 cm 8 cm 10 cm B
HELP PLEASE HAHAHA
can someone help me with this
[tex](3)\\\\17^{\tfrac 43} = \left(17^{\tfrac13\right)^4 = \left(\sqrt[3]{17}\right)^4 =\left(\sqrt[3]{17}\right)^3 \left(\sqrt[3]{17}\right) = 17\sqrt[3]{17}[/tex]
[tex](4)\\\\\text{First term, a= 4,}\\\\\text{Common difference,}~ d =13-4 = 9\\\\\text{nth term} = a+(n-1)d = 4 +(n-1)9 = 4+9n-9 = 9n-5\\\\\text{ 5000th term} = 9(5000) -5 =44995[/tex]
divide (3x^3 + x2 – 4) by (x + 2).
Answer:
[tex](x+2)(3x^3-5x-10)[/tex]
Step-by-step explanation:
If you don't know how to divide polynomials then I can help with that too or you can just search it up
please help! the ppl who are good atttt mathhh please!
Answer:
10) SAS
12) SAS
13) SSS
11) ASA
14) ASA
Answer:
10. none
11. AAS
12. SAS
13. SSS
14. SAS
15. ASA
Step-by-step explanation:
I'm not going into detail of each question... I have a 101 in geometry right now though and I've already done triangles, so just trust me on this one.
Help help help help math math math
Answer:
27 in²
Step-by-step explanation:
The area (A) is calculated as
A = πr² ( r is the radius ) , then
A = π × 3² = 3 × 9 = 27 in²
A construction team is going to Guatemala to help a missionary build a church building. The construction team will be there for 24 days, which is 50% more days than they need to complete construction. How many days will they need to complete the church building
Answer:
72
Step-by-step explanation:
50% means ½ of the usual days,
if 50% = 24 days
then the usual day is 48 days
so, 48+24= 72
May I please receive help?
Answer:
6.6 ft.
Step-by-step explanation:
Right triangle: Use this formula a² + b² = c² . Given c = 12, a = 10 find b
(10)² + b² = (12)²
100 + b² = 144
b² = 144 - 100
b² = 44
[tex]b = \sqrt{44}[/tex]
b = 6.6
Plz help me do this
Answer:
the rise is 6 and the run is 4
Answer:
The rise is 6 and the run is 4
can anyone answer this?
Answer: Would you like all of them?
Step-by-step explanation:
hey i am just clueless
Answer:
x = 14
y = 6
Step-by-step explanation:
*Property*
In a parallelogram:
Opposite sides are equal.
Since, the given figure is a parallelogram we can apply this property and equate:
1) 2y + 1 = 13 2) x = y + 81) 2y + 1 = 13
subtracting 1 from both sides:
=> 2y + 1 - 1 = 13 - 1
=> 2y = 12
dividing both sides by 2:
=> 2y/ 2 = 12/ 2
On the LHS, 2 gets canceled because it's available in the numerator as well as the denominator
On the RHS, 2 gets canceled when 12 is factorised to 6 × 2:
=> y = 62) x = y + 8
We've got the value of y from equation 1).
Substituting it here:
=> x = 6 + 8
=> x = 14Answer:
Hence, we got the values of x and y as:
[tex]\mathsf{x = 14 }\\ \mathsf{ y = 6}[/tex]