Answer:
15 m
Step-by-step explanation:
The area of the circle is
A =pi r^2
A = pi 4^2 = 16 pi
The area of the sector is 30
The fraction is
30/16 pi
Take this time 2pi which are the radians of a circle
30 /16 pi * 2 pi = 15/4
This is the number of radians the angle is
The arc length is s = r * theta where theta is in radians
s = r theta
= 4 * 15/4
= 15
evaluate the expression for the given value of the variable 9 | 9 -8x | = 2x + 3
Steps to solve:
9|9 - 8x| = 2x + 3
~Divide 9 to both sides
|9 - 8x| = 2/9x + 1/3
~Solve absolute value (part one)
|9 - 8x| = 2/9x + 1/3
-74/9x + 9 = 1/3 (Subtracted 2/9x to both sides)
-74/9x = -26/3 (Subtracted 9 to both sides)
x = 39/37 (Multiplied 37/39 to both sides)
~Solve absolute value (part two)
|9 - 8x| = -(2/9x + 1/3)
|9 - 8x| = -2/9x - 1/3 (Distributed negative sign to left side)
-70/9x + 9 = 11/3 (Added 2/9x to both sides)
-70/9x = -28/3 (Subtracted 9 to both sides)
x = 6/5 (Multiplied 9/-70 to both sides)
Therefore, the solutions are x = 39/37 and x = 6/5
Best of Luck!
38 + − 21 = ???????????????????????????
Answer:
17
Step-by-step explanation:
Answer:
38 - 21 = 17.Step-by-step explanation:
because - + = - ....Hope it helps you..
Thanks
.
Helpppppppppppppppp plz plz plz plz plz
Answer:
-19
Step-by-step explanation:
We know:
Samuel walks forward 19 steps. So number is+19
We need to find:
How would he represent the opposite of this number
Answer :
Number = 19
To represent the opposite of this number Samuel should first take 19 steps back to reach his original position that is zero and then needs to move 19 steps backward to get -19.
Layla uses 1.75 cups of sugar per batch of cookies. How many cups of sugar would she require to bake 9 batches of cookies?
Answer:
15.75 cups
Step-by-step explanation:
If she uses 1.75 cups each batch to find how much she uses for 9 batches you just multiply 1.75 by 9 which gives you 15.75 cups
if 7x - 11 = 17, then x = 4
I really need help I don’t understand anything and my teacher isn’t a big help either
bob lives 5 miles south and 17 miles east of ana how far are their houses apart
Answer:
22 miles they travelled
A designer found the area of a wall to be 5.0 square yards. What is the area of the wall in square meters?hhhshxhxhd
Step-by-step explanation:
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Convert 1.9647 to a percent.
Answer:
196.47%
Step-by-step explanation:
1 is 100
So the rest just add in
Solve 10-13 find each measurement
Answer:
10)17.5
11)18
12)70
13)110
Problem 10
Answer: RS = 17.5This is because the opposite sides of any parallelogram are congruent (PQ = RS and QR = PS)
======================================
Problem 11
Answer: QT = 18Diagonal QS is cut in half (bisected) by the other diagonal PR. The smaller pieces QT and ST are the same length.
======================================
Problem 12
Answer: angle PQR = 70 degreesThe angle QRS is given to be 110 degrees. Angle PQR adds to this to get 180, so we effectively solve x+110 = 180 to get x = 70. Any pair of adjacent angles of any parallelogram are supplementary.
======================================
Problem 13
Answer: 110 degreesOpposite angles of a parallelogram are congruent. Angle SPQ is opposite of angle QRS = 110.
Which number is rational?Which number(s) below belong to the solution set of the inequality? Check all that apply. x + 6 < 38 A. 31 B. 26 C. 88 D. 44 E. 32 F. 70
Answer:
A. 31 and B. 26
Step-by-step explanation:
In order for x+6<38 to be true, we need to find the maximum number x can be. So we move 6 to other side which gives us x<32
Of the options A. 31 and B. 26 are the only ones that are less that 32. E. 32 does not count because x must be less than 32, not equal to it.
Hope this helped!
Rita bakes pies at The Corner Bakery. The number of pies she can bake, x, is limited by the ingredients
they have in stock. This situation is represented by the compound inequality 2x - 3 < 7 and 5 - x < 8.
Solve the compound inequality and select all the viable solutions.
-2 pies
2 pies
1 pie
O pies
-1 pies
-3 pies
5 pies
6 pies
4 pies
3 pies
Answer:
The solution for the inequality is -3< x <5
The viable solutions are;
-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies
Step-by-step explanation:
The given inequalities are;
2·x - 3 < 7 and 5 - x < 8
Therefore, we have;
2·x - 3 < 7
2·x < 7 + 3
2·x < 10
x < 5
From the other inequality, we have;
5 - x < 8
-x < 8 - 5 = 3
-x < 3
-x/(-1) > 3/(-1)
x > -3
Therefore, the solution for the inequality is given as follows;
-3< x <5
The possible values are;
-2 pies, -1 pies, 0 pies, 1 pie, 2 pies, 3 pies, and 4 pies.
200 ones into standard form
pls help ASAP
Which number is missing from the prime factorization of 348?2 x ____ x 3 x 29
A. 2
B. 3
C. 5
D. 7
Answer: The answer is A. 2.
Answer: your answer is A
Write the inverse of f(x) = 3x - 1
f -1(x) =
log 3 x + 1
log 3 ( x - 1)
log 3 x - 1
Answer:
log 3 x +1 = f^-1(x)=[tex]\frac{10^x^-^1}{3}[/tex]
log 3 (x-1) = f^-1(x)=[tex]\frac{x}{log(3)} +1[/tex]
log 3 x - 1 = f^-1=[tex]\frac{10^x^+^1}{3}[/tex]
The inverse of the function f(x) = 3x - 1 is f⁻¹(x) = (x + 1)/3.
What is an inverse function?First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.
We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.
Given, f(x) = 3x - 1.
Or y = 3x - 1.
3x = y + 1.
x = (y + 1 )/3.
f⁻¹(x) = (x + 1)/3.
learn more about the inverse of functions here :
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do you know the awnser to 4(-8x+5)-(-33x-26)=
Answer:
x+46
Step-by-step explanation:
-32x+20+33x+26=
x+20+26=
x+46
Answer:
x +46
Step-by-step explanation:
4(-8x+5)-(-33x-26)=
Distribute
-32x+20 +33x +26
Combine like terms
x +46
A basketball court is shaped like a rectangle 20 meters long and 10 meter
wide? What is the area of the court?
Answer:
200 squared meters.
Step-by-step explanation:
Since we know the court is a rectangle, we can use the formula for the area of a rectangle:
[tex]A=lw[/tex]
Where l is the length and w is the width.
We are given that the length is 20 meters and the width is 10 meters. Substitute:
[tex]A=20(10)[/tex]
Multiply:
[tex]A=200\text{ meters}^2[/tex]
So, the area of the court is 200 squared meters.
23.A chef ordered 400 pounds of potatoes in same-sized bags. Which expressions show
the number of bags and number of pounds of potatoes per bag the chef may have
ordered? Choose all that apply.
E 50 x 80
80 x 5
B 10 x 40
0 20 x 20
© 20 x 20
Answer:
10*40
80*5
20*20
Step-by-step explanation:
20*20=400
80*5=400
10*40=400
The endpoints of GH are G(3,3) and H(-7,7).
Find the coordinates of the midpoint M.
Step-by-step explanation:
Hey there!!
You can simply use midpoint formulae to find midpoint of the coordinates.
Here, Given that;
G(3,3) and H(-7,7).
Using midpoint formulae,
[tex]midpoint \: of \: gh = (\frac{x1 + x2}{2} ,\frac{y1 + y2}{2} [/tex])
[tex]midpoint \: of \: gh = (\frac{3 - 7}{2} ,\frac{3 + 7}{2} [/tex])
After simplifying it we get,
= (-2,5).
Therefore, midpoint of GH is M(-2,5).
Hope it helps....
simplify the equation (2x³) (x⁴)² / 8x¹¹
Answer:
Hey there!
(2x³) (x⁴)² / 8x¹¹
2x^3(x^8)/8x^11
2x^11/8x^11
1/4
Let me know if this helps :)
4+(x+5)+4+(x+5)+4=48
You found hardwood flooring priced by the square foot. To find the price per square yard, you should do which of the following.
a.) Divide the price per square foot by 9
b.) Multiply the price per square foot by 3
c.) Multiply the price per square foot by 9
d.) Divide the price per square foot by 3
Answer:
D. Divide the price per square foot by 3
Step-by-step explanation:
1 foot = 0.333333 yard
price per square yard of the hardwood = price per square foot / 3
For instance, If the price per square foot is $900, then the price per square yard is
price per square yard of the hardwood = price per square foot / 3
= 900 / 3
= 300
price per square yard of the hardwood = $300
The following three functions look very similar, but define very different functions. Think about how they are defined and write each as a composition of functions given the information below. (None of the functions in your compositions should be the same as the given function.) 1. sin^4 (x) = f(g(x)) where f(x) = , and g(x) = . 2. sin(sin(x)) = f(g(x)) where f(x) = , and g(x) = . 3. sin x^4 = f(g(x)) where f (x) = , and g(x) = .
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following functions :
sin^4 (x) = f(g(x)) where f(x) = and g(x) =
Sin⁴(x) = sin(x)⁴
g(x) = sin(x),
f(x) = f(g(x)) = f(sin(x)⁴) = x⁴
2.) sin(sin(x)) = f(g(x)) where f(x) = , and g(x) =
g(x) = sin(x) ; sinx = x
g(x) = sin(x)
f(x) = f(g(x)) = sin(x) ; sin(x) = x
f(x) = f(g(x)) = f(sin(x))
f(x) = sin(x)
3. sin x^4 = f(g(x)) where f (x) = , and g(x) = .
Here,
g(x) = x⁴
f(x) = f(g(x)) = sin(g(x)) = sin x
f(x) = sinx
The functions are illustrations of composite functions, where multiple functions are combined in one.
(1) sin^4 (x) = f(g(x))
Rewrite the above function as:
[tex]f(g(x)) = \sin^4(x)[/tex]
So, we have:
[tex]f(g(x)) = (\sin(x))^4[/tex]
From the above equation, we have:
[tex]g(x) = \sin(x)[/tex]
So, we have:
[tex]f(g(x)) = (g(x))^4[/tex]
Substitute x for g(x)
[tex]f(x) = x^4[/tex]
Hence, the functions are: [tex]f(x) = x^4[/tex] and [tex]g(x) = \sin(x)[/tex]
2.) sin(sin(x)) = f(g(x))
Rewrite the above function as:
[tex]f(g(x)) = \sin(\sin(x))[/tex]
From the above equation, we have:
[tex]g(x) = \sin(x)[/tex]
So, we have:
[tex]f(g(x)) = \sin(g(x))[/tex]
Substitute x for g(x)
[tex]f(x) = \sin(x)[/tex]
Hence, the functions are: [tex]f(x) = \sin(x)[/tex] and [tex]g(x) = \sin(x)[/tex]
3. sin x^4 = f(g(x))
Rewrite the above function as:
[tex]f(g(x)) = \sin(x^4)[/tex]
From the above equation, we have:
[tex]g(x) = x^4[/tex]
So, we have:
[tex]f(g(x)) = \sin(g(x))[/tex]
Substitute x for g(x)
[tex]f(x) = \sin(x)[/tex]
Hence, the functions are: [tex]f(x) = \sin(x)[/tex] and [tex]g(x) = x^4[/tex]
Read more about composite functions at:
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Please help me solve this Question Explanation will be appreciated.
Answer:
for the first question, the answer is B
6 × 6 (faces of a dice) = 36, there are 6 way to add 1-6 to 7 (1+6, 2+5, 3+4), so the answer is 6/36 or simplified into 1/6
for the second question, the answer is B
3/4 = 15/20, 3/5 = 12/20 (least common multiple is 20)
15/20 - 12/20 = 3/20
Carina begins to solve the equation Negative 4 minus two-thirds x equals negative 6 by adding 4 to both sides. Which statements regarding the rest of the solving process could be true? Select three options. After adding 4 to both sides, the equation is Negative two-thirds x equals negative 2. After adding 4 to both sides, the equation is Negative two-thirds x equals negative 10. The equation can be solved for using exactly one more step by multiplying both sides by Negative three-halves. The equation can be solved for x using exactly one more step by dividing both sides by Negative two-thirds. The equation can be solved for x using exactly one more step by multiplying both sides by Negative two-thirds.
Answer:
options 3 and 4 are correct
Step-by-step explanation:
And form the remainder of the problem, you isolate x by just multiplying by the negative reciprocal, which is -3/2, or just dividing by the number in front off x, which is -2/3, which makes statements three and four true. so this makes this three and four options
I hope this helps you :)
-KeairaDickson
Two options namely " After adding 4 to both sides, the equation is negative two-thirds negative 2" and the statement " the equation can be solved for x using exactly one more step by multiplying both sides by Negative three-halves."
What is a linear equation?A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.
Given here -4-2/3x +4=-6+4
⇒-2/3x = -2
⇒ -2/3x ×3/2 = -2 ×3/2
⇒ x = 3
Hence the final answer is 3.
Learn more about linear equations here:
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Which term has a coefficient of 1?
Answer:
Variables with no number have a coefficient of 1.
Step-by-step explanation: x is really 1x.
determine the quotient of 1 2/3 ÷ 4/5
Answer:
The desired quotient is 25/12.
Step-by-step explanation:
Rewrite 1 2/3 as an improper fraction: 5/3.
Then divide this 5/3 by 4/5:
5
------ ÷ 4/5
3
It's easier (but completely correct) to invert the divisor (4/5) and then multiply 5/3 by (5/4):
5 5 25
----- * ----- = ------
3 4 12
What is 1.4 repeating as a percent.
Answer:
140%
Step-by-step explanation:
Move the decimal over to the right two places!
:D
Answer: 140 percent I hope this answers your question!
Whats the answer to 26.02 x 2.006
Answer:
52.19612
Step-by-step explanation:
hope this helps
Pls help solve the equation
Answer:
34 boxes
Step-by-step explanation:
Please see attached picture for full solution.
You have $55 in your bank account, and you would like to buy a new phone for $395. You can save $5 for each hour you work. How many hours must you work to buy it?
Answer:
(At least) 68 hours
Step-by-step explanation:
So we already have $55 in our bank account.
And we earn $5 per hour.
In other words, the total amount of money in our account after working x hours is represented by the equation:
[tex]y=5x+55[/tex]
We want to buy a new phone that costs $395. To find out how many hours we need to work, substitute 395 for y. Thus:
[tex]395=5x+55[/tex]
Subtract 55 from both sides:
[tex]340=5x[/tex]
Divide both sides by 5:
[tex]x=68[/tex]
Therefore, we must work for (at least) another 68 hours in order to earn enough money to purchase the phone.