Answer:
Correct answer: 2.25
−10sin(x)=−4csc(x)+3
-10 sin(x) = -4 csc(x) + 3
Recall that csc(x) = 1/sin(x) :
-10 sin(x) = -4/sin(x) + 3
Multiply both sides by sin(x) :
-10 sin²(x) = -4 + 3 sin(x)
Move everything to one side:
10 sin²(x) + 3 sin(x) - 4 = 0
Factorize the left side:
(2 sin(x) - 1) (5 sin(x) + 4) = 0
Then we have two cases,
2 sin(x) - 1 = 0 or 5 sin(x) + 4 = 0
Solve for sin(x) :
sin(x) = 1/2 or sin(x) = -4/5
Solve for x :
• if sin(x) = 1/2, then
x = arcsin(1/2) + 2nπ or x = π - arcsin(1/2) + 2nπ
x = π/6 + 2nπ or x = 5π/6 + 2nπ
• if sin(x) = -4/5, then
x = arcsin(-4/5) + 2nπ or x = π - arcsin(-4/5) + 2nπ
x = -arcsin(4/5) + 2nπ or x = π + arcsin(4/5) + 2nπ
(where n is any integer)
what decimal represents the fraction 1/4
Answer:
0.25
Step-by-step explanation:
1/4 is equal to 1.00 split into 4 equal parts. 0.25*4 = 1.00 , meaning that each 1/4 is equal to 0.25
Answer:
0.25.
Step-by-step explanation:
We divide 1 by 4:
4) 1. 00
0.25
A 7-pound bag of lollipops costs $12.18. What is the unit price?
Answer:
The unit price is 1.74$
Step-by-step explanation:
12.18 / 7
is 1.74
Help me with writing a check please
Answer: pay to the order of: Price Chopper.... $145.19.... next line: One hundred forty-five and 19/100.... bottom left line: whatever the money is for.... next line: signature. 5. fifty-four and 68/100 dollars 6. One hundred seventeen and 92/100 dollars 7. twenty dollars
Step-by-step explanation:
At the store, you can get a 12-pack of soda for $5. How much would it cost for a 30-pack
Select the correct answer. Find the intersection point for the following linear functions. f(x) = 2x + 3 g(x) = -4x − 27
Answer:
(-5,-7)
Step-by-step explanation:
Set functions equal to each other.
2x+3= -4x-27
2x+4x = -3-27
6x=-30
x= -5
f(-5) = 2(-5) +3
f(-5) =-10+3 y= - 7
g(-5) = -4(-5) -27
g(-5) =20-27 y= -7
x=-5 y=-7
(-5,-7)
Answer:
(-5,-7)
Step-by-step explanation:
Plz help and explain plz
Answer:
-3/7x +6
Step-by-step explanation:
1/7x +9 -4/7x -3
Combine like terms
1/7x -4/7x +9-3
-3/7x +6
what is the hypotenuse of a right triangle with a and b related by the statement a=b-5.
Answer:
c = 5b ±sqrt(-10(b+a)+2)
Step-by-step explanation:
By using the Pythagoras theorem,
c² = a² + b²
a = b-5
b = a+5
c² = (b-5)² + (a+5)²
c² = b²-10b+25 + a²+10a+25
c² = b²-10b-10a+50
c² = b²-10(b+a)+50
c = 5b ±sqrt(-10(b+a)+2)
-2 - 1 + 4 I need the help please
Answer:
it's 1
Step-by-step explanation:
hope this helps 1
Find the value of x so that the line passing through (-3,7) and(x,5) has a slope of -4
Answer:
x= -5/2 or -5.2
Step-by-step explanation:
you know the equation: y=mx+b, so we can substitute the -3 for x, the 7 for y and the -4 for m:
7=-4(-3)+b
now solve:
7=12+b
subtract 12 on both sides:
b=-5
now what you want to do is substitute it in and solve for x:
y=-4x-5
so:
5=-4x-5,
solve:
10=-4x
x=-5/2!!!!!!!!!!!!!!
hope this helped :)
PLEASE HELP!!! I ONLY HAVE A FEW MINUTES!!
Answer:
y=0.25x-6
Step-by-step explanation:
12. -2 times the difference of x and 4 is 14. What is the number
- 2x + 4 = 14
- 2x = 14 - 4
- 2x = 10
x = 10 / - 2
x = - 5#FromIndonesia
PLEASE HELP ME RN PLEASE
Answer:
1.
[tex] \frac{n^{2} - 1 }{2} [/tex]
2.
[tex] \sqrt{29} [/tex]
Step-by-step explanation:
Area of triangle=1/2×b×h
=
[tex] \frac{1}{2} \times (n - 1)(n + 1)[/tex]
[tex] \frac{( {n}^{2} + n - n - 1) }{2 } [/tex]
[tex] \frac{ {n}^{2} - 1 }{2} [/tex]
2. Area of triangle=14
[tex] \frac{ {n}^{2} - 1 }{2} = 14[/tex]
[tex] {n}^{2} - 1 = 28[/tex]
[tex] {n}^{2} = 29[/tex]
[tex]n = \sqrt{29} [/tex]
please rate well and mark BRAINLIEST.
thanks
A restaurant is serving a special dinner combo meal that includes a drink, a main dish, and a dessert. Cus
4 drinks, 5 main dishes, and 3 desserts.
How many different combo meals are possible?
Select from the drop-down menu to correctly complete the statement.
Customers can create Choose... w different dinner combo meals.
1
2
3
4
Choose...
12
45
60
75
5
6
7
Answer:
Your Answer Is 60
Step-by-step explanation:
I Took The Test Just Now
The number of different combo meals are possible in a restaurant which is serving a special dinner combo meal that includes a drink, a main dish, and a dessert is 60.
What is arrangement?Arrangement of the things or object is mean to make the group of them in a systematic order, in all the possible ways.
The number of possible ways to arrange is the n!. Here, n is the number of objects.
A restaurant is serving a special dinner combo meal that includes a drink, a main dish, and a dessert.
Dinner includes 4 drinks,5 main types of dishes.3 types of desserts.The number of different combo meals are possible can be find out by simply multiplying all the meals. Thus,
[tex]n=4\times5\times3\\n=60[/tex]
Thus, the number of different combo meals are possible in a restaurant which is serving a special dinner combo meal that includes a drink, a main dish, and a dessert is 60.
Learn more about the arrangement here;
https://brainly.com/question/6032811
#SPJ2
Hayley is considering two gym membership plans. The plans are detailed here. Plan One: $40 for a monthly pass plus $4 for each gym visit Plan Two: $12 for each gym visit. Which equation expresses the situation in the form of y=mx+b where x is the number of gym visits per year and y is the total cost per month for Plan One?
y=40x+4
y=4x+40
y=12x
y=3x+50
please help
Answer:
Plan One: y=4x+40
Plan Two: y=12x
Step-by-step explanation:
Simplify \frac{10a^3}{55a^2} when a=3.
Answer:
(27000)(27225)
Step-by-step explanation:
Answer:
6/11
Step-by-step explanation:
In the month of January, a certain restaurant claimed it sold 9,000 burgers and expects sales to grow at a rate of
4.8% per month over the next year. Which formula will determine the number of burgers the restaurant expects to sell
this year?
Answer:
11∑N=1 9000 (1.048)^n
Step-by-step explanation:
First month = a = 9,000burgers
Common ratio = r = 1 + 0.48 = 1.048
Total number of months = n = 11; from February to December.
Formula to determine the number of burgers the restaurant expects to sell this year:
= 11∑N=1 9000 (1.048^n)
Answer:
a
Step-by-step explanation:
Please help me in this!!!!
Step-by-step explanation:
you really don't see this ?
this is rotated by 180 degrees around the origin.
do you see how the different points change positive from one shape to the other ?
think what happens when you rotate a disk (like a plate) with something on it. how does that something on it change is position and orientation ?
this here is the same thing. look at H and how it turns into O.
What is the answer to 1010 + 0101? (Binary) *
Answer:
1111 is the answer to your question.
Out of 250 million cars on the road in US, about 3.5% are diesel. What percentage are not diesel?
Answer:
96.5%
Step-by-step explanation:
Answer:
241250000 cars aren't diesel (Basically 96.5%)
Step-by-step explanation:
250 million = 250000000
If we are talking about the percentage of cars that aren't diesel, we have two ways of solving this. (I'm gonna solve for not just percentage but for amount too)
1. Find out the percentage that isn't diesel by subtracting 3.5% from 100% and then multiplying the answer to get the result.
or
2. We find out what 3.5% of 250 million is and then subtract that from 250 million
Now to make this short, I will do the first one.
100-3.5 = 96.5
96.5% x 250,000,000 = 241250000
Your classmate is telling you how they plan to become financially secure.
Which of the following factors can help him do so?
A saving money
B investing money
C both saving and investing money
D neither saving nor investing money
Answer:
savind and investing money
Sophia was measuring the height of her Christmas tree. The
first part she measured was 36 inches tall. The second part
was 2 feet tall. How tall was her Christmas tree?
Answer:
60 inches or 5 feet
Step-by-step explanation:
36 inches + 2 feet (24 inches) = 60 inches, also 5 feet
p/18+7=9 what is the value of p
Answer:
p=36
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
p/18+7-(9)=0
Simplify p/18
(p/18+7)-9=0
7= 7/1= 7*18/18
p+7*18/18=p+126/18
(p+126)/18-9=0
9=9/1=9*18/18
(p+126)-(9*18)/18=p-36/18
p-36/18=0
p-36=0
p=36
Hope this helped :)
PLEASE HELP!!!!! I WILL REWARD
Answer:
the fourth bubble or d
Step-by-step explanation:
x has to equal to or less than 6
A recent survey concluded that 3/4 of the teachers in a certain school district had at least 10 years of teaching experience. If there are 152 teachers in the district, approximately how many have at least 10 years of teaching experience?
Answer: 114
Step-by-step explanation:
3/4 * 152 = 3*38 =114
what The Potageriterum
Answer:
Thick soup."coarse, spicy potage"A potage is a category of thick soups, stews, or porridges, in some of which meat and vegetables are boiled together with water until they form into a thick mush.Hope this helps you !!As a hurricane approaches, the air temperature changes −7.8°F every hour.
Which value represents the change in air temperature over 1.25 hours?
−9.75°F
−9.05°F
−6.55°F
−6.24°F
The change in air temperature over 1.25 hours is -9.75°F
A linear equation is in the form:
y = mx + b;
where y, x are variables, m is the rate of change and b is the initial value of y.
As a hurricane approaches, the air temperature changes −7.8°F every hour. The amount of change after 1.25 hours is:
Change = −7.8°F every hour * 1.25 hours
Change = -9.75°F
Therefore the change in air temperature over 1.25 hours is -9.75°F
Find out more on linear equation at: https://brainly.com/question/14323743
Please help me with this i am ver confused
Answer:
1) 2/x³ the secound option
2)1/x²⁴ the secound option
I think
Perform the indicated operations/solutions.
1. 12-7+45÷15x11=
2. 16x2+12-18÷9-4=
3=2x
Solve this equation.
Then verify IT.
[tex] \huge \bf \: Question : [/tex]
[tex]3 = 2x[/tex]
This is an equation. We need to find the value of X and verify it.
[tex] \huge \bf \: Solution : [/tex]
Let's find out the value of X :-
[tex] \sf \implies \: 3 = 2x[/tex]
Firstly, over turn the equation :-
[tex]\sf \implies2x = 3[/tex]
Then, Divide both sides of this equation by 2 :-
[tex]\sf \implies \: \dfrac{2x}{2} = \dfrac{3}{2} [/tex]
Cancel 2/2 on this equation and Leave x :-
3/2 can't be cancelled.
[tex]\sf \implies \: \dfrac{ \cancel2x}{ \cancel2} = \dfrac{3}{2} [/tex]
[tex]\sf \implies \: x = \dfrac{3}{2} [/tex]
Hence the value of x is 3/2.
________________________________
[tex] \bf \huge \: Verification : [/tex]
Put the value of x on this equation :-
[tex]\sf \implies \: 3 = 2x[/tex]
On Putting 3/2 instead of x :-
As we know that x is multiplied with 2 so,
[tex]\sf \implies \: 3 = 2 \times \dfrac{3}{2} [/tex]
Simplify this equation(Cancel 2 and 2) :-
[tex]\sf \implies \: 3 = \cancel2 \times \dfrac{3}{ \cancel2} [/tex]
[tex]\sf \implies \: 3 = 3[/tex]
[tex]\sf \implies \bf \: L HS = RHS[/tex]
[tex] \boxed {\bf\huge Hence, verified.}[/tex]
______________________________________
I hope this helps!
Please let me know if you have any questions.
~MisterBrian