Answers
Where the "-pi/2" part is its own fraction (x is not part of it; i.e., x is not in the numerator of the fraction).
-------------------------------------
To find this answer, we need to ask ourselves: "1/3 times what quantity will give us (1/3)x?". The answer to this sub-question is simply x. In other words, 1/3 times x is (1/3)x. That takes care of the first part.
For the second part, we have 1/3 times something equal to -pi/6. That "something" must be -pi/2. Note how
(1/3)*(-pi/2) = (1*(-pi))/(3*2) = -pi/6
So you have to think backwards in a sense. Or you can treat it like this
(1/3)*y = -pi/6
Multiplying both sides by 3 leads to
y = -pi/2
[tex] \frac{1}{3} [/tex] x - [tex] \frac{ \pi}{6} [/tex] = [tex] \frac{1}{3} [/tex] [([tex] \frac{1}{3} [/tex] ÷ [tex] \frac{1}{3} [/tex] x) - ([tex] \frac{ \pi}{6} [/tex] ÷ [tex] \frac{1}{3} [/tex] )]
= [tex] \frac{1}{3} [/tex] ( x - [tex] \frac{ \pi}{2} [/tex])
Related Questions
If the measures of two complimentary angles are 7x and 11x , then find x
X=5
X=10
X=22.5
X=12
Answers
so,
7x + 11x = 90
18x = 90
x = 90/18
x =5
so,
option A is the correct one.
Answer:
x = 5
Step-by-step explanation:
Complementary angles are two angles whose sum is 90º
So, if we have two complementary angles 7x and 11x we know that their sum is 90
We are going to write the equation and solve for x:
[tex]7x+11x=90\\18x=90\\x=90/18\\x= 5[/tex]
Therefore, x would be 5. And the angles would be 7(5) = 35º and 11(5) = 55º
what is the coefficient in the algebraic expression 7XY squared ?
Answers
Find the length of the segment then find the coordinates of the midpoint of the segment
Answers
Plants A birch tree grew 2.5 inches in five months. A bean plant grew 8 inches in 10 months. It rosebush grew 5 inches in eight months. Which grew faster?
Answers
2.5in/5mo=.5in/mo
Bean:
8in/10mo=.8in/mo
Rosebush:
5in/8mo=.625in/mo
Bean
Answer:
Bean plant grew faster .
Step-by-step explanation:
As given
Plants A birch tree grew 2.5 inches in five months.
i.e 2.5 inches = 5 months
Now calculate birch tree in one month .
[tex]Birch\ tree\ grew\ in\ one\ month = \frac{2.5}{5}[/tex]
= 0.5 inches
As given
A bean plant grew 8 inches in 10 months.
i.e 8 inches = 10 months
Now calculate bean plant in one month .
[tex]Bean\ plant\ grew\ in\ one\ month = \frac{8}{10}[/tex]
= 0.8 inches
As given
It rosebush grew 5 inches in eight months.
i.e 5 inches = 8 months
Now calculate rosebush in one month .
[tex]Bean\ rosebush\ in\ one\ month = \frac{5}{8}[/tex]
= 0.63 inches (Approx)
Therefore Bean plant grew faster .
Consider a graph of the equation y = −3x + 4. What is the y-intercept?
4
−4
3
−3
Answers
Answer:
it will be 4
Step-by-step explanation:
Susan's penny bank is 1/4 full. After she adds 360 pennies, it is 5/8 full. How many pennies can Susan's bank hold?
Answers
We already know that 360 equals 5/8 of Susan's penny bank, so divide 360 by 8.
360 / 8 = 45
Then, multiply 45 by 3 in order to find how many pennies is equivalent to 3/8 of the penny bank.
45 x 3 = 135
After that, add 360 to 135, which is theoretically the same as 5/8 + 3/8.
360 + 135 = 495
5/8 + 3/8 = 8/8 or 1
Therefore, Susan's penny bank can hold 495 pennies in total.
P.S. This may not be your preferred method of solving this problem, but this is certainly one of the ways of understanding them. -AM
What is the common number between 1, and 100?
Answers
Molly jogged at a rate of 6 miles per hour. what is her rate in feet per second?
Answers
60 seconds in a minute.....60 minutes in an hr....(60 * 60) = 3600 seconds in an hr
31680 / 3600 = 8.8 ft per second <==
Answer: the correct answer would be 8.8 ft/s
If a line is perpendicular to another, and one slope is -2, what is the slope of the other line
Answers
Find an equation of the tangent line to the function y = 4x4 at the point p(1, 4).
Answers
f(x) = 4x4
f'(x) = 16x3
f(1) =4
f'(1) = 16
an equation of the tangent line is : y - 4 = 16(x - 1)
The equation of the tangent line to the function y = 4x⁴ at (1, 4) will be y = 16x - 12.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The rate of change of a function with respect to the variable is called differentiation. It can be increasing or decreasing.
The function is given as,
y = 4x⁴
The slope of the line is given as,
m = y'
m = 16x³
m = 16 (1)³
m = 16
Then the equation of the tangent line is given as,
y = 16x + c
The equation is passing through (1, 4). Then we have
4 = 16 (1) + c
4 = 16 + c
c = - 12
The equation of the tangent line to the function y = 4x⁴ at (1, 4) will be y = 16x - 12.
More about the function link is given below.
https://brainly.com/question/5245372
#SPJ2
The length of a rectangular garden is 7 feet longer than its width. The perimeter of the garden is 38 feet. Find the width and length of the garden
Answers
19=2w+7
12=2w
w=6
l=13
Please help with #10 and #11
Answers
Assuming it was just one whole family so
51 - 6 = $45
45 ÷ 4.5 = (Answer for number 10)There was 10 people on the whole family
The total paid with the parking is $51
The total paid WITHOUT the parking is $51-$6 = $45
They spent $3.5(x) for the entry, they also spent $5.5(x) for the pass:
3.5(x) + 5.5(x) = 45
9x = 45 and x = 5 people
11) Translate English to Math language:
Let x be this number:
5.x - 18 - 4.x = -36
x - 18 = -36 Add 18 to both sides
x - 18 + 18 = - 36 + 18
x = - 18
Which function below is the inverse of f(x)=x^2-25
Answers
f(x) = x^2-25
inverse:
y = x^2-25
x = y^2-25
y = sqrt(5 +25)
Answer is B
Let f ( x ) = 2 x − 1 , g ( x ) = 3 x , and h ( x ) = x ^2 + 1 , what is h ( g ( -4 ) ) ?
Answers
Can someone please help me. Preferably ASAP
q=
7(1-q)=-3(5+3q)
Answers
7-7q = -15-9q group the like terms
-7q + 9q =-15-7
2q = -22 then divide by 2
q = -11
.help me please thank you
Answers
the first one because all the other ones are wrong
hope it helps
Please help!! Will mark brainliest!!
Match each function to its domain.
Answers
Answer:
f(x) = sqrt(x-5) Domain: all real numbers greater or equal to 5 f(x) = 7/(x-8) Domain: all real numbers except 8 f(x) = sqrt(x) Domain: all positive real numbers and 0 f(x) = 8x Domain: all real numbers The domain of a function is the set of all numbers for which that function is valid.
Step-by-step explanation:
help with question 47 please
Answers
What is the average of all integers from 11 to 35
Answers
it's an arithmetic progression with first term a = 11, last term = 35 and the number of term n = 25
s= (11+35)25/2 = 575
Average = 575/25 = 23
How many photocopies can you make for $2.00 at the rate of three copies for ten cents?
Answers
10 cents =3 copies
200/10 =20
20x3 =60copies
or
10 cents =3copies,
100 cents =30copies.
100 x 2 =200cents.
2x30 copies =60 copies.
or in ratio form
10cents : 3copies
multiply 20 to get 200, you need to multiply on both sides,
= 200cents : 60copies
6x equals 7-4y solve for y
Answers
The given values of x, the corresponding values of y are:
1. When x = -2, [tex]\(y = \frac{19}{4}\)[/tex]
2. When x = -1, [tex]\(y = \frac{13}{4}\)[/tex]
3. When x = 0, [tex]\(y = \frac{7}{4}\)[/tex]
Let's solve the equation [tex]\(6x = 7 - 4y\)[/tex] for y:
[tex]\[6x = 7 - 4y\][/tex]
First, isolate the term with y:
[tex]\[4y = 7 - 6x\][/tex]
Next, divide both sides by 4 to solve for y:
[tex]\[y = \frac{7 - 6x}{4}\][/tex]
Now, we can find the values of y for each given value of x:
1. For x = -2:
[tex]\[y = \frac{7 - 6(-2)}{4} = \frac{7 + 12}{4} = \frac{19}{4}\][/tex]
2. For x = -1:
[tex]\[y = \frac{7 - 6(-1)}{4} = \frac{7 + 6}{4} = \frac{13}{4}\][/tex]
3. For x = 0:
[tex]\[y = \frac{7 - 6(0)}{4} = \frac{7}{4}\][/tex]
Therefore, for the given values of x, the corresponding values of y are:
1. When x = -2, [tex]\(y = \frac{19}{4}\)[/tex]
2. When x = -1, [tex]\(y = \frac{13}{4}\)[/tex]
3. When x = 0, [tex]\(y = \frac{7}{4}\)[/tex]
Complete question:
Solve equation for y. Then find the value of y for each value of x.
6x = 7 - 4y; x = -2, -1, 0
Final answer:
To solve the equation 6x = 7 - 4y for y, subtract 7 from both sides and divide by -4 to isolate y.
Explanation:
To solve the equation 6x = 7 - 4y for y, we need to isolate y on one side of the equation. First, we can move the 7 to the other side by subtracting it from both sides:
6x - 7 = -4y
Next, we can divide both sides by -4 to solve for y:
y = (6x - 7) / -4
Nikos sold muffins at his club's bake sale.he spent $28.50 on supplies. he sold his muffins for $0.75 each, and made a profit of $36.75. write and solve an equation to find out how many muffins nikos sold.
Answers
The sum of the first 100 positive numbers?
Answers
so The sum of the first 100 positive numbers
100(100 + 1) / 2
= 50(101)
= 5050
Which mixed number is greater than 6.78?
A.6 2/7
B. 6 3/4
C. 6 7/9
D.6 4/5
Answers
Which expression is represented by the number line?
Answers
hope it helped
Answer:
3 - 5.5 +1.5
Step-by-step explanation:
LEts analyze the given number line
We always start with 0
Arrow goes 3 units to the right, so we put positive 3
from 3 , the arrow ends at -2.5. Arrow goes to the left so we subtract to find the distance. -2.5-3= -5.5
from -2.5 we add 1.5 to reach -1
So the expressio becoems 3 and then subtract 5.5 and then add 1.5
3 - 5.5 +1.5
Which set is an example of like fractions?
Answers
20/100 20 ÷ 2 = 10 100 ÷ 2 = 50.
Answer: 10/50 but 5 = both 10 and 5 so 10 ÷ 2 = 5 and 50 ÷ 2 = 25.
Answer: 5/25 = 1/5 = 5 because 5 ÷ 5 = 1 and 25 ÷ 5 = 5.
That's what a like fraction is. Hope you get this right and I hope you do great on your homework for a test you might have later. :)
Did i get this right?
Answers
Which equation can be used to solve this problem?
Molly bought 6 packs of trading cards. Each pack cost $3. She also bought 1 pack of gum. It cost $2. How much did Molly spend altogether?
A.
6 ÷ 2 × 3 = x
B.
6 + 3 × 2 = x
C.
6 × 3 ÷ 2 = x
D.
6 × 3 + 2 = x
Answers
At which angle will the hexagon rotate onto itself? 60° 90° 120° 180°
Answers
Answer:
60
Step-by-step explanation:
Answer: The hexagon will rotate onto itself at 60°.
Step-by-step explanation:
A hexagon is a regular polygon with six sides) having all its sides and all its angles are equal.
For a regular polygon , Order of rotation of the figure = Number of sides .
i.e. Order of rotation for hexagon = 6
Let [tex]\theta[/tex] be the angle at which hexagon rotate onto itself, then we have
[tex]\theta=360^{\circ}\ \div6=60^{\circ}[/tex] [∵One complete rotation= [tex]360^{\circ}[/tex]]
Hence, The hexagon will rotate onto itself at 60°.
In the figure, angle D measures 31° and angle A measures 27°.
The measurement of angle B is °.
The measurement of angle F is °.
Answers
Angle f is 59
Answer:
63 and 59 are correct
Step-by-step explanation: