Answers
[tex]4[sin(x)]^2 - 2 = 0\implies 4[sin(x)]^2=2\implies [sin(x)]^2=\cfrac{2}{4}\implies [sin(x)]^2=\cfrac{1}{2} \\\\\\ sin(x)=\pm\sqrt{\cfrac{1}{2}}\implies sin^{-1}[sin(x)]=sin^{-1}\left( \pm\sqrt{\cfrac{1}{2}} \right)\implies x=sin^{-1}\left( \pm\sqrt{\cfrac{1}{2}} \right)[/tex]
[tex]x=sin^{-1}\left( \pm\cfrac{\sqrt{1}}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{1}{\sqrt{2}} \right)\implies x=sin^{-1}\left( \pm\cfrac{\sqrt{2}}{2} \right) \\\\[-0.35em] ~\dotfill\\\\ ~\hfill x=\cfrac{\pi }{4}~~,~~\cfrac{3\pi }{4}~~,~~\cfrac{5\pi }{4}~~,~~\cfrac{7\pi }{4}~\hfill[/tex]
Check the picture below.
Related Questions
Kalina is choosing a sandwich and a drink for lunch. She can choose between turkey, ham, and vegetarian sandwiches. She chooses her drink from a selection of water, orange juice, milk, or lemonade.
How many possible ways can one sandwich and one drink be chosen?
If one more drink choice were added to the selection, the number of possible ways to choose one sandwich and one drink would increase by
.
Answers
Answer: possible wayways 3 × 4 = 12
If one more drink was added, possibilities will become 3× 5 = 15
Number of possi left ways will increase by 15 - 12 = 3
Step-by-step explanation:
David is keeping track of the internal temperature of a chicken he is cooking. The table below
shows how its temperature is a function of the time it has been in the oven. Which of the
following gives the average rate that the temperature is increasing at from 15 to 45 minutes?
(1) 2.1 °F per minute
Time (min)
0 15 25
60
(2) 2.4 °F per minute
Temperature (°F) 72 90 113 153 167
(3) 2.8 °F per minute
23 + 40 +14=77
(4) 3.2 °F per minute
77-3=25.7
Answers
Using the average rate of change, it is found that the average rate is of:
(1) 2.1 °F per minute
What is the average rate of change of a function?It is given by the change in the output divided by the change in the input.
In this problem:
At 15 minutes, the temperature was of 90ºF.At 45 minutes, the temperature was fo 153ºF.Hence, in 30 minutes, the temperature increased 63ºF, hence the rate is given by:
r = 63/30 = 2.1 °F per minute.
More can be learned about the average rate of change at https://brainly.com/question/24313700
What is the mean height, rounded to the nearest whole number if necessary? 66 68 69 70
Answers
Answer:
69
Step-by-step explanation:
I took the quiz and it's right
Answer:69
Step-by-step explanation:
I just got it correct
Combine the terms to simplify the expression below. 14x - (2x + y)
FAST
Answers
Answer:
12x - y
Step-by-step explanation:
14x - (2x + y) ← distribute parenthesis by - 1
= 14x - 2x - y ← collect like terms
= 12x - y
Answer:
12x - y
Step-by-step explanation:
14x -(2x +y)
14x -2x -y
12x -y
∠A and \angle B∠B are vertical angles. If m\angle A=(5x+2)^{\circ}∠A=(5x+2)
∘
and m\angle B=(6x-12)^{\circ}∠B=(6x−12)
∘
, then find the value of x.
Answers
Answer:
Step-by-step explanation:
pls help im not sure how to get this
Answers
Answer:
use Pythagoras theorem
Step-by-step explanation:
get the opposite square it plus the adjacent side square it also should be equal to the hypotune squared alsox² + (X +17)²= 25² expand (X+17)²x² + x² + 17² + 34x = 6252x² + 34x + 289 = 625 get 625 minus 2892x² + 34 x = 336 divide through by 2X²+ 17 X = 168solve the quadratic equation using any method if I use bulldozer method a=1 b=17 c=-168put in that quadratic formulax=7 or X=-24 but for second value of X is not correct since you can not have a negative length for opposite side
therefore take X=7 as the answer
Increase 31 kg by 100%.
Answers
62kg
Explanation:
If you increase something by 100%, it means you double the one which is being increased.
Which line most accurately represents the line of best fit for the scatter plot?
(I think its D, correct me if im wrong)
Line A
Line B
Line C
Line D
Answers
Answer:
Your right, it's D.
Step-by-step explanation:
8. Which two-dimensional figure is formed when a right rectangular pyramid
is sliced by a plane through the pyramid's vertex and perpendicular to the
pyramid's base?
A. a square
B. a triangle
C. a trapezoid
D. a parallelogram
Answers
Answer: B
Step-by-step explanation:
please help me with the question
Answers
I think one two and three are correct if you do the math and put the numbers in the perenthisis (x on the left, y on the right) to the equation then you will get the answer.
simplify the expressions below
1. 2(n + 5)
2. 12(x + 5- 3y
3 -(a – 4 + 6b)
Answers
Answer:
1. 2n + 10
2. 12x + 60 - 36y
3. -a + 4 - 6b
Step-by-step explanation:
1) Distribute the 2.
2(n) + 2(5)
= 2n + 10
2) Distribute the 12.
12(x) + 12(5) + 12(-3y)
= 12x + 60 - 36y
3) Distribute the negative sign.
note: a single negative sign is the same as -1
a(-1) + -4(-1) + 6b(-1)
= -a + 4 - 6b
hope this helps!
HELP! WILL GIVE BRAINLY
Today, the sum of Harper's age and Cadence's age is 61. 8 years ago Cadence was 4 times older than Harper.
Part A: Enter Harper's age today.
Part B: Enter Cadence's age today.
Answers
Answer:
Harper is 17 and Cadence is 44.
Step-by-step explanation:
First, we can set up an equation to displays the sum of both ages.
Let x = Harper's age and y = Cadence's age
x+y=61
8 years ago, this means the sum will decrease by a total of 16 as we have to subtract 8 from both variables
The equation to represent 8 years ago is: x+y=45
Now we can write another equation to represent Cadence being 4 times older than Harper (8 years ago)
y=4x
We can substitute this back into the equation we had for the ages 8 years ago.
x+(4x) = 45
5x=45
x=9
Now, Harper's age 8 years ago is 9 years old. We add 8 to this number to determine that Harper is currently 17 years old.
We can insert this into the original equation to determine Cadence's age.
17+y=61
y=44
Thus, Cadence is currently 44 years old
Your little brother is using a rather large Amazon box (you know, the one with the smile on the end!) to make a car. He colors the sides of the box red and not the top or bottom, has you write the number 95 on the sides, and calls it Lightning. Which term describes the part of the box that he colored?
Answer choices:
Lateral Area
Area
Area Surface
Area Volume
Answers
Graphs of Function
Name if even, odd or neither
x4 + x²
see attached graph and I only want help with number 1. I want to learn so I can do the rest on my own.
Answers
Answer:
Examine each term of the polynomial to determine whether it is even, odd, or neither.
Even = each term is an even functionOdd = each term is an odd functionNeither = terms are even and odd termsEven function → symmetry about the y-axis
Odd function → symmetry about the origin
1) y = x⁴ is an even function, as it has symmetry about the y-axis
y = x² is an even function, as it has symmetry about the y-axis
Therefore, x⁴ + x² is an even polynomial
2) [tex]\sf y=6x^5[/tex] is an odd function, as it has symmetry about the origin.
[tex]\sf y=-x^3[/tex] is an odd function, as it has symmetry about the origin.
Therefore, [tex]\sf y=6x^5-x^3[/tex] is an odd polynomial
**Please see attachments for examples of even and odd functions**
Note:-
Every power of function variables are responsible for even odd like powe is odd function is odd power is even function is even
#1
x⁴+x²4 and 2 are even
Symmetry about y axisEven
#2
6x⁵-x³5 and 3 are odd
Symmetry about originOdd function
please solve this
(34^2) ^6
Answers
Answer:
34^12 - which is approximately 2.386420684^18
Step-by-step explanation:
By the laws of indices:
(34^2)^6
= 34^(2*6)
= 34^12
- which is approximately 2.386420684^18
Charlie and Jasmine share cartons of apple juice. Charlie drinks 1/3 of a carton every day. Jasmine drinks 2/5 of a carton every day. Any apple juice left in a carton at the end of the day is used the following day. The cost of a carton is 70p. Charlie and Jasmine buy just enough cartons to last them for 10 days. How much do they spend in total for these cartons? Give your answer in £.
Answers
Using proportions, it is found that they spent a total of £5.6 for these cartons of apple juice.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the daily fraction of a carton they drink is given by:
[tex]\frac{1}{3} + \frac{2}{5} = \frac{5 + 6}{15} = \frac{11}{15}[/tex]
Hence, applying the proportion, over 10 days, the amount of cartons they drink is given by:
[tex]10 \times \frac{11}{15} = \frac{110}{15} = 7.33[/tex]
Rounding up, they buy 8 cartons, each at £0.7. Hence the total amount spent is given by:
8 x £0.7 = £5.6.
More can be learned about proportions at https://brainly.com/question/24372153
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In adjoining figure a circle is inscribed in the quadrilateral ABCD given that BC is equal to 38 cm cube is equal to 27 cm and BC equal to 25 cm and that ad is perpendicular to DC find the radius of the circle.
Answers
Step-by-step explanation:
Let O be the centre of the circle. Since P and S are the points of contact of tangents AD and DC respectively, OP ⊥ AD and OS ⊥ DC
Also, AD ⊥ DC (given), therefore, OPDS is a square.
BR = BQ = 27cm...(tangents from an external point to a circle are equal in length)
therefore, CR = CB - BR = (38 - 27)cm = 11cm
SC = CR = 11 cm...(tangents from an external point) therefore, DS = DC - SC = (25 - 11) cm = 14 cm.
therefore,
Radius of a circle = OP = DS = 14 cm...(therefore, OPDS is a square).
Hope it helps you!!Answer:
14 cm
Step-by-step explanation:
Given
BQ = BR, AQ = AP, CR = CS, DP = DS = OP = OSBQ = 27 cmBC = 38 cmDC = 25 cmSolving
BQ = BR (given)⇒ BR = 27 cmBC = BR + CR38 = 27 + CRCR = 11 cm⇒ CS = 11cmDC = DS + CS 25 = 11 + DS⇒ DS = 14 cmBut, DS = OS and OP (radii)⇒ Radius = 14 cmWhich inequality has no solution? 6 (x 2) greater-than x minus 3 3 4 x less-than-or-equal-to 2 (1 2x) negative 2 (x 6) less-than x minus 20 x minus 9 less-than 3 (x minus 3)
Answers
From the provided equations, the equation which has no solution is 3 4 x less-than-or-equal-to 2 +4x. Option 2 is correct.
What is the inequality equation?Inequality equation is the equation in which the two expressions are compared with greater than, less than or other inequality signs.
From the given equations, the equation which has no solution has to be found out. When the value, does not equate for the expression, then the expression has no solution.
The first equation given in the problem is,
[tex]6 (x +2) > x-3[/tex]
Solve it further,
[tex]6 x +12 > x-3\\6x-x > -3-12\\5x > -15\\x > -3[/tex]
The second equation given in the problem is,
[tex]3+ 4x \leq 2 (1 +2x)[/tex]
Solve it further,
[tex]3+ 4x \leq 2 +4x\\4x- 4x \leq 2-3\\0\leq-1[/tex]
The value of 0 is greater than the number -1. Thus, this inequality has no solution.
The option 3 and 4 has a solution. Hence, from the provided equations, the equation which has no solution is 3 4 x less-than-or-equal-to 2 +4x. Option 2 is correct.
Learn more about the inequality equation here:
https://brainly.com/question/17724536
you have 5 min. thx! bless you!
Answers
k/8 = 19 - 8
k/8 = 11
k = 11 x 8
k = 88.
Answer:
Hi there!
Given :-[tex]\:\mathsf{\frac{k}{8}\:+\:8\:=\:19}[/tex]
So,
=> [tex]\:\mathsf{\frac{k}{8}\:+\:8\:=\:19}[/tex]
=> [tex]\:\mathsf{\frac{k+64}{8}\:=\:19}[/tex]
=> [tex]\:\mathsf{k\:+\:64\:=\:19\:×\:8}[/tex]
=> [tex]\:\mathsf{k\:+\:64\:=\:152}[/tex]
=> [tex]\:\mathsf{k\:+\:=\:152\:-\:64}[/tex]
=> [tex]\:\fbox{k\:=\:88}[/tex]
[tex]\:\sf\purple{Hope\:this\:helps\:you!\::)}[/tex]
write an equation that passes through the point (3,-9) and is parallel to the x-axis
Answers
Answer:
y = -9
Step-by-step explanation:
Any line that is parallel to the x-axis has a slope of 0.
since the y-value in the point is -9, that is the y-intercept.
So, our equation is y = -9.
Clovis wants to make a surprise visit to his uncle who lives out of town. he purchases an airline ticket for $69. there is a 15% sales tax on the price of the airline ticket. in addition he must pay a baggage fee of $20. when he arrives at the airport, clovis takes a taxi to his uncle's house which is 8 miles from the airport. the taxi fee is $2.50 per mile. if clovis has spent a total of $123.35 for the airline ticket and taxi, at what percent of his fare did clovis tip the taxi driver? a. 10% b. 15% c. 20% d. 25% please select the best answer from the choices provided a b c d
Answers
If Clovis has spent a total of 123.35 for airline ticket and taxi ,the percent of fare that He tip the taxi driver is At 20%.
What is percentage?A percentage serves as a number or ratio which is been expressed as a fraction of 100.
The amount paid for the airline Ticket and the Taxi is 123.35
Sales Tax on the airline Ticket is 15% of $69, which can be calculated as [tex](15/100 * 69)=10.35[/tex]
The amount without any tip can be calculated as[tex][10.35 +20+69+(2.5*8)][/tex]
To get the amount with the tip, we will substract the from the total amount of airline ticket 123.35 from amount for the tip which is
(123.35-119.35)= 4.
Then we can calculate percentage of the tip as
[tex](4/20 *100)= 20%[/tex]
Learn more about percentage at:
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The answer is C
- airline ticket: $69
- sales tax, 15%: $10.35
- baggage fee: $20.
- taxi: 8 miles * $2.50 per mile = $20
Sub-total: 69 +10.35 + 20 + 20 = $ 119.35
If Clovis has spent a total of $123.35 => tip = 123.35 - 119.35 = $4.00
at what percent of his fare did Clovis tip the taxi driver?
[$4 / $20] * 100 = 20%
Raising livestock is a no easy task. However, Tony believes that investing in this kind of business would be smart. He wanted to start by raising goats. He decided to make an enclosure by erecting a fence around the rectangular piece of land that he owns. Suppose that the land has
an area of 192 m2 and the length is 4m longer than the width. What is the perimeter of the land
that he will fence?
Answers
The perimeter of the land that Tony will fence around the rectangular piece of land that he owns is 56 meters.
What is the perimeter of a rectangle?
The measure of the boundary of the sides of a rectangles called its perimeter. The perimeter of a rectangle is twice the sum its length and width.
[tex]P=2(l+w)[/tex]
Here, (l) is the length of the rectangle and (w) is the width of the rectangle.
The land has an area of 192 m2 and the length is 4m longer than the width. Let suppose the length is l. Thus,
[tex]l=4+w[/tex]
Now the area of rectangle is the product of length and width. Thus,
[tex]A=l\times w\\192=(4+w)\times w\\192=4w+w^2\\w^2+4w-192=0\\w^2+16w-12w-192=0\\w(w+16)-12(w+16)=0\\(w+16)(w-12)=0\\w=-16,12[/tex]
Taking positive side, w=12. The width of the rectangle is 12 m. The length of the rectangle is 4 m longer than the width. Thus, the length of it si 16 m (12+4). Its, perimeter is,
[tex]P=2(16+12)\\P=56\rm\;m[/tex]
Thus, the perimeter of the land that Tony will fence around the rectangular piece of land that he owns is 56 meters.
Learn more about the perimeter of the rectangle here;
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help pls than you you are all the best
Answers
Answer:
70
Step-by-step explanation:
[tex]10\div \dfrac 1 7 = 10 \times 7 = 70[/tex]
Answer:
C. | 70
Step-by-step explanation:
C is the correct answer because 10 divided by 1/7 is 70
Hope I helped you!
Calculate the length labeled X
Image above!
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
Answers
Answer:
[tex]x=\sqrt{120}[/tex]
Step-by-step explanation:
Solving for two legs of triangle first.
Top Triangle
[tex]a^2+b^2=c^2[/tex]
[tex]15^2+b^2=19^2[/tex]
[tex]b^2=19^2-15^2[/tex]
[tex]b^2=361-225\\b=\sqrt{136}[/tex]
Bottom Triangle
[tex]a^2+b^2=c^2[/tex]
[tex]4^2+b^2=(\sqrt{136} )^2\\16+b^2=136\\b^2=120\\b=\sqrt{120}[/tex]
HELP PLEASE!!!!!!!!!!!!!!!!!!!
Answers
Answer:
x=12
Step-by-step explanation:
ALready, we know that in a right angles, the total sum gives ninety degrees.
Hence,
6x-2+20=90
6x+18=90
Collect like terms
6x=90-18
6x=72
Divide both sides by the coefficient of x, 6
Therefore, x=12
BRAINLIEST TO THE BEST ANSWER WITH SOLUTION
Q=QUARTILE
D=DECILE
P=PERCENTILE
QUESTION:
Given the following data:
2, 3, 5, 6, 8, 10, 12, 15, 18, 20
Find the following:
1. Q1
2. Q2
3. Q3
4. D5
5. D7
6. D8
7. P25
8. P60
9. P75
10. P30
(PLEASE LOOK AT THE PHOTO TO UNDERSTAND)
Answers
Answer:
1. Q1 = 5
2.Q2 = 9
3.Q3 = 15
4.D5 = 9
5.D7 = 14.1
6.D8 = 17.4
7.P25 = 4.5
8.P60 = 11.2
9.P75 = 15.75
10.P30 = 5.3
There are 10 brown socks and 10 grey socks in a dark store room. If you want to make sure you have a pair of matching socks, how many socks must you take out?
Answers
Answer:
11 socks
Step-by-step explanation:
they could all be a pair of grey and brown socks but if you pull 11 at least one pair will be pulled
The table below shows metric units of mass, with the relationship of each unit to 1 gram represented as a power of 10. metric units of mass units power of 10 microgram 10 superscript negative 6 milligram 10 superscript negative 3 centigram 10 superscript negative 2 gram 10 superscript 0 kilogram 10 cubed which statement comparing these measures is true? a microgram is 1,000 times greater than a milligram. a milligram is 10 times greater than a centigram. a centigram is 100 times greater than a microgram. a kilogram is 100,000 times greater than a centigram.
Answers
The true statement about the metric unit of mass is (c) a centigram is 100 times greater than a microgram.
How to determine the true statement?To do this, we simply test the options
We have the following highlights from the table of the metric units of mass:
A microgram equals 1000 milligrams. This means that (a) is false1 milligram equals 10 centigrams. This means that (b) is false1 centigram equals 100 micrograms. This means that (c) is false1 kilogram equals 100,000 centigrams. This means that (a) is falseThe above highlights mean that, the true statement about the metric unit of mass is (c) a centigram is 100 times greater than a microgram.
Read more about metric units at:
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I am trying to find the entire surface area of the entire shape. I got 306, but it is wrong.
Is it possible you could help?
Answers
Answer:
281
Step-by-step explanation:
12*4 rectangle 2 times because theres 2 of the same surfaces
5*4 rectangle 2 times
12*5 rectangle on the bottom surface 1 time
4 triangle surfaces of (5*5)/2
7*5 rectangle on top
add and you get 281
What is the surface area of the solid?
Answers
Answer:
Step-by-step explanation:
Surface Area of Cuboid= 2(6x3)+2(6x10)+2(3x10)=216m²
Surface Area of Sphere= 4πr²
= 4xπx6²
= 144πm²
Surface Area= 144π+216