Explanation:
Use the identity [tex]\sin{\theta} = 1 - \cos^2{\theta}[/tex] so we can write our equation as
[tex]6(1 - \cos^2{\theta}) - \cos{\theta} - 5 = 0[/tex]
or
[tex]6\cos^2{\theta} + \cos{\theta} - 1 = 0[/tex]
Let [tex]x = \cos{\theta}[/tex] so our equation becomes
[tex]6x^2 + x - 1 = 0[/tex]
Using the quadratic equation, we find that its roots are
[tex]x = \dfrac{-1 \pm \sqrt{(1)^2 - 4(6)(-1)}}{2(6)} = \dfrac{1}{3},\:-\dfrac{1}{2}[/tex]
which gives us
[tex]\cos{\theta} = \dfrac{1}{3} \Rightarrow \theta = 70.53°[/tex]
[tex]\cos{\theta} = -\dfrac{1}{2} \Rightarrow \theta = 120°[/tex]
3 hundreds + 7 hundreds in standard form
order these numbers in ascending order. -11, 11.8 9.42 ,10
Answer:
-11,9.42,10,11.8
-11<9.42<10<11.8
Answer:
I think the answer is
-11, 9.24 ,10, 11.8
please answer my question it's urgent
a = 16
Solution:common ratio = (-1/8)/(1/16)=-2a1 = 1/6
n=9
an = a1 (r n-1)a9 = a1
a9 = 1/16 (-2 9-1)
a9 = 1/16 (-28)
a9 = 1/16 (256)
a9 = 16
I hope this helps :)
Add.
−5/6+(−2 5/8)
Enter your answer as a simplified fraction by filling in the boxes.
Step-by-step explanation:
[tex] - \frac{5}{6} + ( - 2 \frac{5}{8} )[/tex]
[tex] = - \frac{5}{6} - \frac{21}{8} [/tex]
[tex] = \frac{ - 20 - 63}{24} [/tex]
[tex] = \frac{ - 83}{24} (ans)[/tex]
HELP ME HELP ME
What is the slope of the line?
Write an equation of the circle (6, -3) and radius 12.
This is my answer:
(x-6)^2 + (y+3)^2= 144
Is my answer correct? ^ means exponent
Answer:
(x-6)^2 + (y+3)^2= 144
Step-by-step explanation:
The equation of a circle can be written in the form
(x-h) ^2 + (y-k) ^2 = r^2 where (h,k) is the center and r is the radius
( x-6) ^2 + ( y--3)^2 = 12^2
(x-6)^2 + (y+3)^2= 144
the density of oxygen is 0.0001429 grams per cubic centimeter.how is this number written in scientific notation?
Đại số tuyến tính sinh viên
Answer:
si
Step-by-step explanation:
The difference of v and 5 is less then or equal to g?
Answer:
i can answer that if v and g were representing integers. if not, then then this can`t be solved
4. Triangle SRT is shown.
Session 1
104
9+
8+
77
6+
5+
S
4-
3+
T
2+
1+
R
0
2
3
4
6
7 8
9 10
Choose the correct equation or phrase to fill in each blank in the
paragraph. For each blank, fill in the bubble before the equation or
phrase that is correct.
The vertices of ASRT are S (1,4), R (2, 2) and T (1, 3). A reflection across
the line
[x = 4 x = 6 © y = -x + 5 y = -x + 6)
and then across the line
[ y = 6 y = 8 y = -x + 10
y = -x + 12) is the same as a translation of 4 units to the right and
4 units up because the lines are
[ congruent parallel
perpendicular similar).
0
Answer:
jeopardise is the shape for a new one and a half way back home from work answer to your friend request I think we will have a better deal than the other and it will probably be worth a few more weeks and more for free if marbles cost me a fortune in the proportion I have any more goal 6 to be do the amount best money we you any of our country on gara cha are in 7th July yu 28th yu38 and I will also have to pay for free diamond app and culture of your responsibility and to get the money back for the establishment that you obeserved want for your birthday so I the money for the money in my house telephoto and the money is going out for free ff and we have not book yet and I don't know what to 2nd look for at all of these and 3IBB on gar 2
This is the only one I’m stuck onnn omg
what fraction of the Earth's surface would be covered by the surface of the moon,if the radius of the Earth is 6,378km and the radius of the moon is 1.741km?
Answer:
3031081 / 40678884
Step-by-step explanation:
To solve this, we can find the surface area of the moon and Earth, and then see how much the moon covers the Earth. The surface area of a sphere is equal to 4πr², so the radius of the Earth is
4πr² = 4 * π * 6378²
and the radius of the moon is
4πr² = 4 * π * 1741²
To figure out how much of the Earth's surface that the moon covers, we can implement a ratio of moons:Earth. This will give us an understanding of how many moons go inside one Earth. We thus have
(4 * π * 1741²) : ( 4 * π * 6378²) = (4 * π * 1741²) / ( 4 * π * 6378²)
cross out the 4 * π in the numerator and denominator
1741²/6378²
Next, we want to make the denominator 1, as that gives us 1 Earth. To do this, we can divide both the numerator and denominator by 6378². Because we are applying the same expression to both the numerator and denominator, this is essentially multiplying the fraction by 1, keeping it the same. We thus have
(1741²/6378²)/(6378²/6378²)
≈0.0745/1
≈ 0.0745
To put this in a fraction, we would have
(1741²/6378²)/1
= (1741²/6378²)
= 3031081 / 40678884
the result of a multiplication of two or more
terms
Answer:
ProductStep-by-step explanation:
Product is the result of a multiplication of two or more terms.[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Answer:
B=Product
C=polynominal
D=distirbutive property
Step-by-step explanation:
36 + 14 = 2(18+▯)
What factor is missing from the equation
Consider the following expression
I think that the anwser is probably 10.6
if demand function is Qd=150+10p and supply function is Qs=300-2p, find the equilibrium price.
Answer:
[tex] qd = qs[/tex]
150+10p=300-2p
10p+2p=300-150
Step-by-step explanation:
12p=150
P=150÷12
P=12.5
The equilibrium price is 12.5 or 13
1=v/7-2 solve and right the equation of how u got that answer
Answer:
v = 21
Step-by-step explanation:
1 = v/7 - 2
~Add 2 to both sides
3 = 1/7v
~Multiply 7 to both sides
21 = v
Best of Luck!
URGENT. I NEED TO DO IT
Answer:
[tex]25x +10 \\ 25x \\ are \: the \: exprassion \\ thank \: you[/tex]
Answer:
2nd option and last option
Step-by-step explanation:
the first option is an equation: it has a solution.
the second option is an expression, and follows the criteria of an expression (can be made of co-effecients, symbols, operations, numbers, ect.), so it is one of our answers.
the third option is an equation since it has the equal sign, and thus, has a solution.
the fourth option is simply a number- a value. it does not fit as an equation (no solution) or an expression (can be made of co-effecients, symbols, operations, numbers, ect.)
lastly, our fith option is an expression. it is a coefficient (a multiplication problem between a known value and a variable). this is also one of our last answers.
Solve the following numerical problems. a. If a bus travels 6 km in 10 minutes, what distance does it travel in 1 secon
Answer:
10 meters
Step-by-step explanation:
Supplementary angles are pairs of angles whose measures total 180º. Determine the measure of
supplementary to an angle with a measure of 92°
Hi there!
»»————- ★ ————-««
I believe your answer is:
88°
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
As mentioned in the question, supplementary angles add up to 180°.⸻⸻⸻⸻
[tex]\boxed{\text{Setting Up An Equation...}}\\\\a + 92 = 180\\----------\\ a - \text{Unknown angle measure.}\\----------\\\rightarrow a + 92 - 92 = 180 - 92\\\\\rightarrow \boxed{ a = 88}[/tex]
⸻⸻⸻⸻
The unknown angle measurement should be 88°.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Shellie buys a loaf of bread fo $2.99, a gallon of milk for $3.49, and a pack of
lunchmeat for $5.99. The sales tax is 8%. How much will Shellie's total bill be,
including the sales tax? Round your answer to the nearest cent.
Answer:
$13.47
Step-by-step explanation:
2.99 + 3.49 +5.99 + 12.47.
12.47 x 0.08 = 1.
12.47 + 1 = 13.47
HELP I NEED SOMBODEY HELP NOT JUST ANYONE JK HELP ME PLSSSSS
Use the following conversions to answer the question.
60 seconds = 1 minute
60 minutes = 1 hour
24 hours = 1 day
How many minutes are there in a week?
A. 420
B. 1,400
C. 10,080
D. 604,800
Answer:
C. 10,080
Step-by-step explanation:
There are 60 minutes in an hour, therefore 60 * 24 = minutes in a day and, 60 * 24 * 7 = minutes in a week, so 60 * 24 = 1440. and 60* 24 * 7
→
1440 * 7 = 10080 minutes in a week.
evaluate the expression when b=5
Answer:
9. [tex]35^{2}[/tex] or 1225
12. [tex]15^{2}[/tex] or 225
Step-by-step explanation:
Put 5 instead of b
9. [tex](7b)^{2}[/tex]
= [tex](7 * 5)^{2}[/tex]
= [tex]35^{2}[/tex] or 1225
12. [tex](3b)^{2}[/tex]
= [tex]( 3 * 5)^{2}[/tex]
= [tex]15^{2}[/tex] or 225
WRITE Math Consider 7 X 10 x 10 x 10 x 10.
Write a pattern to find the value of the expression.
Answer:
I dont know if I'm wrong but I think its
Step-by-step explanation:
7×10=70
70×10=700
700×10=7000
7000×10=70000
I MIGHT BE WRONG AND IF I AM IM SORRY
The normal blood glucose level is between 70 mg/dL and 130 mg/dL. Write a compound inequality to represent the values at which blood glucose is not normal.
Let the input be x
x is greater than or equal to 70mg/dl.x is less than or equal to 130mg/dl.[tex]\\ \rm\Rrightarrow x\geqslant 70mg/dl[/tex]
[tex]\\ \rm\Rrightarrow x\leqslant 130mg/dl[/tex]
Now
[tex]\\ \rm\Rrightarrow 70mg/dl\leqslant x\leqslant 130mg/dl[/tex]
Or
[tex]\\ \rm\Rrightarrow 130mg/dl\geqslant x\geqslant 70mg/dl[/tex]
Answer:
70 ≤ x ≤ 130
130 ≥ x ≥ 70
Step-by-step explanation:
We know that a persons glucose level can only be equal to or between 70 and 130 mg/dL. We can create an inequality to represent this;
70 < x < 130
This means that anything in between will work but anything less or more will not. You can also write this inequality as 130 > x > 70.
In word form you would say this:
A humans glucose level can only be more than or equal to 70 and less than or equal to 130.Best of Luck!
A bag contains 170 marbles. There are red, blue and yellow marbles in a ratio of 9:3:5. How many yellow marbles does the bag contain?
Answer:
50 yellow marbles.
Step-by-step explanation:
Information:
170 marbles
RED : BLUE : YELLOW
9 : 3 : 5
Solving:
To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.
Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.
The bag contains 170 marbles and the ratio adds up to 17 parts.
We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.
[tex]\frac{170}{17}[/tex] = 10.
1 part = 10
Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.
5 x 10 = 50.
Therefore we have 50 yellow marbles.
The number of yellow marbles in the bag is 50
Ratio shows the relationship among numbers. Ratio is the frequency a value is contained in other values. For example, if the ratio of boys to girls in a class is 2:1. It means that there are twice as many boys in the class as there are boys.
In order to determine the number of yellow marbles in the bag, express the ratio of the yellow marbles as the sum of the total ratio and multiply by the total number of marbles in the bag.
Number of yellow marbles = (ratio of yellow marbles / sum of ratios) x total number of marbles
Sum of ratios = 9 + 3 + 5 = 17
(5 / 17) x 170 = 50 marbles.
To learn more about ratios, please check: https://brainly.com/question/19257327?referrer=searchResults
1. If x = y and x + 2y = 6 then find value of 'y'.
I don know
hi <3
you can solve this by substituting one equation into the other.
in this case, it is more simple to substitute the first equation into the second, as it is already arranged into a simple format
so:
y + 2y = 6
now you can simplify:
3y = 6
divide both sides by 3 to get your answer:
y = 2
hope this helps <33
what is integration....
What are the solutions of the equation? X^2-16/25=0
x= 4/25 and x =-4/25
x = 8/25and x =-8/25
x = 16/25and x = -16/25
X =4/5 and x=-4/5
Answer:
x=4/5 ,x=-4/5
Step-by-step explanation:
Equation:
x²-16/25=0
x²=16/25
x=+-√16/25
x=+-4/5
Note:if you need to ask any question please let me know.