Given:
The equation is
[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}[/tex]
To find:
The solutions of given equation over the interval [tex][0,2\pi][/tex].
Solution:
We have,
The equation is
[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=-\dfrac{\sqrt{3}}{2}[/tex]
[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=-\sin \dfrac{\pi }{3}[/tex]
[tex]\sin\left(x+\dfrac{7\pi}{2}\right)=\sin (-\dfrac{\pi }{3})[/tex]
If [tex]\sin x=\sin y[/tex], then [tex]x=n\pi +(-1)^ny[/tex].
Over the interval [tex][0,2\pi][/tex].
[tex]x+\dfrac{7\pi}{2}=4\pi-\dfrac{\pi }{3}[/tex] and [tex]x+\dfrac{7\pi}{2}=5\pi+\dfrac{\pi }{3}[/tex]
[tex]x=\dfrac{11\pi }{3}-\dfrac{7\pi}{2}[/tex] and [tex]x=\dfrac{16\pi}{3}-\dfrac{7\pi}{2}[/tex]
[tex]x=\dfrac{22\pi-21\pi }{6}[/tex] and [tex]x=\dfrac{32\pi-21\pi }{6}[/tex]
[tex]x=\dfrac{\pi}{6}[/tex] and [tex]x=\dfrac{11\pi }{6}[/tex]
Therefore, the two solutions are tex]x=\dfrac{\pi}{6}[/tex] and [tex]x=\dfrac{11\pi }{6}[/tex].
Answer:
C. π/6 & 11π/6
Step-by-step explanation:
If you graph the equation ( Sin (x+7π/2)=-√3/2) and look between 0 & 2π, you'll see that the lines intersect the x-axis at π/6 & 11π/6.
WHOLE NUMBERS AND INTEGERS
Identifying a sum as a point located a given distance from...
The number 5 is plotted on the number line below.
10
Answer the following questions.
(a) Which is a point 3 units to the right of 5 ?
5+(-3)
5+(-3)
O-5+3
5+3
(b) Which is a point 3 units to the left of 5 ?
S (3)
5+(-3)
0 5+3
5+3
Answer:
a) Point to the right: you need to add
5 + 3Last option
b) Point to the left: you need to subtract or add negative
5 + (-3)First option
length A is 4 ft. after a dilation is performed length B is 7ft. what was the scale factor used?
I NEED A GOOD ANWSER
How many 6 inch photos will fit inside 48 inches?
(please write your answer and explain.
Answer:
8
Step-by-step explanation:
48/6 = 8
If this is what the question is asking.. just divide the space by the size of photos
can someone pls help me?
Answer:
yes, every one will fit.
Step-by-step explanation:
114 divided by 3 is 38 so there are 38 teams and each person will fit.
9514 1404 393
Answer:
22. yes
23. is divisible by 9
Step-by-step explanation:
A number is divisible by 9 if the sum of its digits is divisible by 9. The process of reducing the sum of digits to a single digit is called "casting out nines." It can be a useful process for checking arithmetic of all sorts.
A number is divisible by 3 if the sum of its digits is divisible by 3.
__
22. 114 is divisible by 3 because 1+1+4 = 6, a number divisible by 3. Everyone will have a spot.
__
24. 2187 has a sum of digits of 2+1+8+7 = 18, which has a sum of digits of 1+8=9. This is divisible by 9, so 2187 is divisible by 9.
evaluate 6+4/a+b/3 when a=4 and b=3
Answer:
8
Step-by-step explanation:
First, insert the values into the problem. It would look like this: 6 + 4/4 + 3/3
We can then reduce 4/4 into 1 and 3/3 into 1 as well.
Then, you get:
6+1+1 or 6+2 which is equal to 8
-Cheers, Galaxy
Please helpppppppp
If you don’t know it don’t answer please
Answer:
x=36
y=72
Step-by-step explanation:
I didnt do this type of problem in a while but Im pretty sure its correct
In the figure below, o ll m. Find the values of y and z
Answer: y = 117 and z = 32
Step-by-step explanation:
y: 180 - 63 = 117
z: 180 - 117 (also known as y) = 63 which is the top corner right next to the equation for z, so you do it again. 180 - 63 = 117
then you do 117 + 43 = 160, then 160 divided by 5 = 32
which means that 5(32) - 43 = 117, 5 x 32 = 160 - 43 = 117.
hope this helps
PLEASE HELP ME:
Jeff hikes 1/2 mile every 15 minutes. If Jeff hikes for 2 hours how many miles will he have hiked?
Answer:
4 miles in 2 hours I think
please answer this for me I need it it's due at midnight
Remy has $150 to spend on party supplies. She spends $75.50 on decorations and various other supplies. She spent the remaining money to order invitations. If she invited 20 people to her party, how much was the cost to print each invitation?
Answer:
the cost to price of each invitation is $3.725
Step-by-step explanation:
Given that
On party supplies she incurred $150
For decorations and various other supplies she incurred $75.50
The remaining amount i.e.
= $150 - $75.50
= $74.50
This amount would be incurred for the invitations
Now she invited 20 people
SO the cost to price of each invitation is
= $74.50 ÷ 20 people
= $3.725
Hence, the cost to price of each invitation is $3.725
HELPHELPHELPHELPHELP
CAN SOMEONE PLEASE HELP ME ASAP
Answer:
i think x would be 15
Step-by-step explanation:
What is the relationship between the radius of a circle and its circumference?
Answer:
Radius, Diameter and Circumference
The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.
Step-by-step explanation:
What is the value of X in this triangle?
Answer:
x = 3
Step-by-step explanation:
An equilateral ∆ has equal side lengths and all its angles are also equal to each other, which are 60° each.
The ∆ given has equal side lengths. Therefore it is an equilateral ∆ having equal angles, each would measure 60°.
Thus:
(25x - 15) = 60°
Solve for x
25x - 15 = 60
Add 16 to both sides
25x - 15 + 15 = 60 + 15
25x = 75
Divide both sides by 25
25x/25 = 75/25
x = 3
The speed limit is 45. Katie was going thirty miles per
hour and sped up some. Which inequality represents the
amount she could speed up and not be speeding?
30 + s = 45
30 - S > 45
30 + S < 45
30-S < 45
Answer:
A or C
Step-by-step explanation:
that sounds like the most correct answer
Answer:
Step-by-step explanation:
Part A
Which expression is NOT equivalent to 2.89 × 0.6?
Answer:
(289 * 6) * (1/10 * 1/10)
Step-by-step explanation:
Here, we want to select an expression that is not equivalent to the product;
Kindly note that;
2.89 is same as 289 * 1/100
0.6 is same as 6 * 1/10 or 60/100
Also 2.89 can be 0.289 * 10
So the correct answer in this case which is not equivalent to the product is;
option A
Answer:
a
Step-by-step explanation:
Someone plis help me with this homework
Answer:
True
Step-by-step explanation:
The diagram shows a triangle PST and a parallelogram PQRS.
Pierre correctly simplified an expression. When he substituted x = 2 into the simplified expression, the value was 20. Which could be Pierre’s original expression?
2(7x – 4)
2(x – 19)
2(x + 10)
2(5x + 1)
Answer:2(7x-4)
Step-by-step explanation:
Answer:
The correct answer is A.) 2(7x – 4)
Step-by-step explanation:
I just did the test and got it right
What should I choose
Answer:
Orange juice.
Step-by-step explanation:
It's the best thing ever it always gets u an A+ when you give it to your teachers
Answer:
variables
Step-by-step explanation:
Hope this helped, Have a Great Day!!
5x - 7 = -13 solve the x
Answer:
-1.2
To solve for x, we need to add 7 to both sides
5x - 7 + 7 = -13 + 7
5x = - 6 = -1.2
Answer:
The answer is -1.2
Step-by-step explanation:
Honestly explaining this would take a while so here is the answer.
What is -10 plus 9 ?
Answer:
-1
Step-by-step explanation:
The price of a cup of coffee was 2.30 yesterday. Today, the price fell to 2.15 . Find the percentage decrease. Round your answer to the nearest tenth of a percent.
Answer:
6.5%
Step-by-step explanation:
Percentage decrease
[tex] = \frac{2.30 - 2.15}{2.30} \times 100 \\ \\ = \frac{0.15}{2.30} \times 100 \\ \\ = \frac{15}{2.30}\\ \\ = \frac{150}{23}\\ \\ = 6.52173913 \\ \\ \approx \: 6.5\%[/tex]
Need help! only have today till I turn in!
Answer:
yes
Step-by-step explanation:
find the radius given the linear speed and rate of rotation v=24.8m/s, 120 rev/mins
Answer:
I got you Fam
Step-by-step explanation:
The radius is 12.4 meters if the linear speed and rate of rotation v=24.8m/s, 120 rev/mins.
What is angular acceleration?It is defined as the rate of change in angular velocity with respect to time. It is also known as rotational acceleration.
It is given that:
The rate of rotation v = 24.8 m/s
The angular velocity w = 120 rev/mins
In rev/second
The angular velocity w = (120/60) rev/second = 2 rev/sec
The formula:
v = rw
Here r is the radius
r = v/w
r = 24.8/2
r = 12.4 meters
Thus, the radius is 12.4 meters if the linear speed and rate of rotation v=24.8m/s, 120 rev/mins.
Learn more about angular acceleration here:
https://brainly.com/question/13723307
#SPJ2
5 points
A gym charges a $50 fee plus $20 per month. Another gym charges a fee
of $500. How many months will it take for the charges at the first gym to
reach $500? *
A 020 months
B 5.5 months
C 022.5 months
D 22 months
Step-by-step explanation:
it so easy bro 5.5 ok bro.
What are the original substances called in a chemical reaction?
Answer:
reactants
A chemical reaction is the process in which atoms present in the starting substances rearrange to give new chemical combinations present in the substances formed by the reaction. These starting substances of a chemical reaction are called the reactants, and the new substances that result are called the products.
Step-by-step explanation:
EASY MATH QUESTION PLS HELP!!!
Which of the following values is a solution for the inequality statement?
Select all that apply.
Answer:
-150, 55, -78
Step-by-step explanation:
44>a-64
108>a
find the difference (20m+3)-(7m-5)
Answer:
Simplifying
(20m + 3) + -1(7m + -5) = 0
Reorder the terms:
(3 + 20m) + -1(7m + -5) = 0
Remove parenthesis around (3 + 20m)
3 + 20m + -1(7m + -5) = 0
Reorder the terms:
3 + 20m + -1(-5 + 7m) = 0
3 + 20m + (-5 * -1 + 7m * -1) = 0
3 + 20m + (5 + -7m) = 0
Reorder the terms:
3 + 5 + 20m + -7m = 0
Combine like terms: 3 + 5 = 8
8 + 20m + -7m = 0
Combine like terms: 20m + -7m = 13m
8 + 13m = 0
Solving
8 + 13m = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 13m = 0 + -8
Combine like terms: 8 + -8 = 0
0 + 13m = 0 + -8
13m = 0 + -8
Combine like terms: 0 + -8 = -8
13m = -8
Divide each side by '13'.
m = -0.6153846154
Simplifying
m = -0.6153846154Step-by-step explanation:
Answer:
(20m+3)-(7m-5).
(20m-7m)+(3+5).
13m(8). =104m
104m is your anwser! Hope this helps!
Pls help again I’m really bad with these I don’t understand it and I’ve been stuck on this for a while pls and thank you
Answer:
3 pairs of shoes cost 189
Step-by-step explanation:
Oh yes it's quite simple but sort of difficult to explain, I'll try the best I can though!
in "C(x)" what ever is in the ( ) is the x value, so where they give you "C(3)" that means x=3. And since in this x represents number of shoes, that means the cost of three shoes is $189.
Hope this helps! If you have any questions about my answer feel free to ask. Stay safe!
A man had a piece of leather that was 34 metre long. He cut off 25 metre for a project and then cut off a 30-centimetre piece to give to his friend. What fraction of the original piece of leather is left? How many centimeters of the leather is left?
Answer:
8.7 meters left or 870 cm left
0.256 is fraction... 87/340
Step-by-step explanation:
34-25-0.3=8.7 8.7 x 100=870 cm
