Answer:23(22.95684113865932)
Step-by-step explanation:
3
Which expression is closest in value to 5.66?
Let's consider the standard and usually used value of irrational numbers given in the question.
It is asked to see which is closed to 5.66So, let's see the options:
A) GiveN:
[tex] \dfrac{\pi}{2} + \pi[/tex]
Let consider π = 3.14
[tex] \dfrac{3.14}{2} + 3.14[/tex]
[tex]1.57 + 3.14[/tex]
[tex]4.71 \: (approx.)[/tex]
B) GiveN:
[tex]2\pi - 1[/tex]
Here also, let's consider the value be 3.14
[tex]2 \times 3.14 - 1[/tex]
[tex]6.28 - 1[/tex]
[tex]5.28 \: (approx.)[/tex]
C) GiveN:
[tex]4 \sqrt{2} [/tex]
Let's consider the value of √2 be 1.414
[tex]4 \times 1.414[/tex]
[tex]5.6516 \: (approx.)[/tex]
D) GiveN:
[tex]8 - \sqrt{3} [/tex]
Let's consider the value of √3 be 1.732
[tex]8 - 1.732[/tex]
[tex]6.268 \: (approx.)[/tex]
So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.
So, Correct answer is C
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A car rental company charges $0.10 per mile plus $30 per day for a midsize sedan. If Lawrence rents a vehicle for four days and has $200, what is the maximum number of miles he can drive?
Answer:
8 miles
Step-by-step explanation:
p=a+b+c solve for b
c=90x+35
Answer:
x=bc-35 over 90
Step-by-step explanation:
How many gallons of paint are needed to paint the walls of a rectangular prism shaped room that is 15 feet by 10 feet and 8 feet high if 1 gallon of paint covers 40 square feet? Assume there are no doors or windows.
Answer:
11.2 gallons.
Step-by-step explanation:
We have been given that a rectangular prism-shaped room is 18 ft by 10 ft and 8 ft high. We are asked to find the gallons of paint needed to paint the walls of room.
Find the complement of the set given that U = {x | x ∈ I and −3 ≤ x ≤ 7}. (Enter your answers as a comma-separated list.) {x | x ∈ W and x < 5}
Huh?? Can u attach a picture or some
10 POINTS : What is the solution to the equation 3/5x-6=-1/6x+7, rounded to three decimal places?
Answer:
x = 16.957
Step-by-step explanation:
(3/5)x - 6 = (-1/6)x + 7
Add (1/6)x to both sides. Add 6 to both sides.
(3/5)x + (1/6)x = 7 + 6
(18/30)x + (5/30)x = 13
(23/30)x = 13
Multiply both sides by 30/23.
x = 13/1 * 30/23
x = 390/13
x = 16.957
7. George went to the general store to buy provisions. He bought food items
worth $35. He had a $25 gift card for the store and he also paid $5 in cash.
How much debt does George have with the store?
I need it in ten minutes plz help
Answer:
He needs to pay $5
Step-by-step explanation:
$25 + $5 = $30 < how much he paid
$35 - $30 = $5 < how much more he needs to pay
Answer:
21
Step-by-step explanation:
21 yeet
brainlest plz is 21 if you dont brainlest you are gay
The midpoint of AB is M(0, -4). If the coordinates of A are (2, -1), what are the
coordinates of B?
Answer: (-2,-7)
Step-by-step explanation:
The coordinates of B is (-2, -7).
What is co-ordinate geometry?Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs.]
Given:
Let the coordinates of B be (x, y).
We have to find the coordinates of B.
According to given question we have,
Then, (x + 2) / 2 = x-coordinate of M = 0.
So, x = -2.
(y + 1) / 2 = y-coordinate of M = -3.
So, y = -7.
Therefore, the coordinates of B is (-2, -7).
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How many quarts of pure antifreeze must be added to 5 quarts of a 40% antifreeze solution to obtain a 50% antifreeze solution?
Answer:
2 quarts of 100% antifreeze.
Step-by-step explanation:
5 quarts/ .40 * x/ 1
.40x= 5
x=2
2 quarts of pure antifreeze must be added to 5 quarts of a 40% antifreeze solution to obtain a 50% antifreeze solution.
Looking at the concentrations.
100% of x quarts is x quarts of antifreeze.
30% of 5 quarts is .3(5) quarts antifreeze.
Adding that we have 5+x quarts and we want
50% of that to be antifreeze so the total is
.5(x + 5)
x + .3(5) = .5(5+x)
x + 1.5 = 2.5 + .5x
x - .5x = 2.5 - 1.5
.5x = 1
x = 1/.5 = 2 quarts pure antifreeze.
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Choose the rate of change (slope) to match the line.
ТУ
14 2 0
2
O A 2
B
3
D.
celine
Review prog
Math plzzzzz help
Answer:
B. [tex] -\frac{3}{2} [/tex]
Step-by-step explanation:
Rate of change/slope is given as [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Use the coordinate pairs of any two points on the slope/line.
Let's use the following coordinates pairs:
[tex] (-2, 4) = (x_1, y_1) [/tex]
[tex] (0, 1) = (x_2, y_2)
Plug in the values into the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]:
[tex] m = \frac{1 - 4}{0 - (-2)} [/tex]
[tex] m = \frac{-3}{0 + 2} [/tex]
[tex] m = \frac{-3}{2} [/tex]
[tex] m = -\frac{3}{2} [/tex]
Find LM.
2x-16 x-9
11
L
M
N
Answer:
LM is 8
Step-by-step explanation:
LM --> (2x-16)+(x-9) =11
Solve for x
2x+x-16-9 =113x-25=113x=36x=12Plug in this value for LM equation to solve for LM:
(2x-16)2(12)-1624-16 = 8LM is 8
1. Solve the shape equation puzzle:
= 8
=
= 15
1. Given a right triangle the first angle is ten degrees more than three times the degree measure of the second angle and the third angle is the right angle. What is the angle measurement of the first angle? Doint)
Answer:
The first angle is [tex]70^{o}[/tex].
Step-by-step explanation:
Let the measure of the second angle be represented by [tex]x^{o}[/tex].
Thus, the first angle = [tex](3x+10)^{o}[/tex]
Third angle = [tex]90^{o}[/tex]
Sum of angles in a triangle = [tex]180^{o}[/tex]
So that;
[tex]x^{o}[/tex] + [tex](3x+10)^{o}[/tex] + 90 = [tex]180^{o}[/tex]
[tex]x^{o}[/tex] + [tex]3x^{o}[/tex] + [tex]100^{o}[/tex] = [tex]180^{o}[/tex]
[tex]4x^{o}[/tex] = [tex]180^{o}[/tex] - [tex]100^{o}[/tex]
[tex]4x^{o}[/tex] = [tex]80^{o}[/tex]
divide both sides by 4 to have;
[tex]x^{o}[/tex] = [tex]20^{o}[/tex]
The first angle = [tex](3x+10)^{o}[/tex]
= ( 3 x 20 + 10)
= 60 + 10
= [tex]70^{o}[/tex]
Therefore, the first angle is [tex]70^{o}[/tex].
joseph accepted a new job at a company with a contract guaranteeing annual raises. Joseph will get a raise of $5000 every year and had a starting salary of $70000. Write an equation for S, in terms of N, representing Josephs salary after working n years for the company.
Answer:S = 70,000 + 5000n
The equation that can be used to represent Josephs salary after working n years for the company is S = 70,000 + 5000n
How to write equation?Annual increase in salary = $5000Starting salary = $70,000S = Josephs salary after working n yearsn = number of yearsThe equation:
S = 70,000 + 5000(n)
S = 70,000 + 5000n
If n = 2
S = 70,000 + 5000n
= 70,000 + 5000(2)
= 70,000 + 10,000
= $80,000
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For the given linear function, what are the slope and y-intercept?
Answer:
The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Step-by-step explanation:
I had this question not to long ago and got it right
Find JH
G. H. I. J
2. 12.
Answer:
JH = 17
Step-by-step explanation:
GH = 2
IJ = 12
GI = 7
find: JH
HI = 7 - 2
HI = 5
JH = 12 + 5
JH = 17
Isaac is making soft pretzel nuggets. His recipe says that, after he makes the dough, he should divide it into 8 equal pieces. Then, he needs to roll each piece into a 2-foot-long rope and cut it into nuggets. If he decides to make each pretzel nugget 1 inch long, how many can he make in all?
Answer:
The answer to your question is 192 pretzels
Step-by-step explanation:
Data
number of pieces = 8
length of each piece = 2 ft
length of each pretzel = 1 in
number of pretzels = x
Process
1.- Convert ft to in
1 ft --------------- 12 in
2 ft --------------- x
x = (2 x 12) / 1
x = 24 ft
2.- Divide the length of each piece by the length of each pretzel
24/1 = 24 pretzels per piece
3.- Multiply the number of pretzels per the number of pieces
24 x 8 = 192 pretzels
find the value power of 5-^2
Answer:
-25
Step-by-step explanation:
4 customers entered a store over the course of 6 minutes. At what rate were the
customers entering the store in customers per minute?
50 seconds per minute
The rate of entering customers per minute, if 4 customers entered a store over the course of 6 minutes, is 2 / 3.
What is division?It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.
Given:
4 customers entered a store over the course of 6 minutes,
Calculate the rate of entering customers per minute as shown below,
The rate of entering customers per minute = total number of customer / total time
The rate of entering customers per minute = 4 / 6
The rate of entering customers per minute = 2 / 3
Thus, the rate of entering is 2 / 3.
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find the first three terms of the sequence with nth term 2n+4
Answer:
To find out the first three terms of 2n + 4 substitute 1 ,2 and 3 into the equation.
2(1)+4=2+4=6
2(2)+4=4+4=8
2(3)+4=6+4=10
As you can see the sequence goes up in 3s 6 ,8, 10 To find out the 9th term you also substitute 9 into the equation so
2(9)+4=18+4=22
Hope this helped!
Tom has cases of soda. If there are 12 cans in a case, how many cans does tom have?
Answer:54
4 1/2times 12
Convert 4 1/2 to an improper fraction.
9/2 times 12
Cancel the common factor of 2
9 times 6
Multiply
9 by 6 the you'll get 54
HELP ME PLEASE!!!!!!!!!!4(a+2)=8+4a
Answer:
a can be anything. There are infinite solutions.
Step-by-step explanation:
[tex]4(a+2)=8+4a[/tex]
Expand:
[tex]4a+4\times\:2=8+4a[/tex]
[tex]4a+8=8+4a[/tex]
Subtract 8 from both sides:
[tex]4a+8-8=8+4a-8[/tex]
[tex]4a=4a[/tex]
Subtract 4a from both sides:
[tex]4a-4a=4a-4a[/tex]
[tex]0=0[/tex]
Since both sides are equal, a has infinite solutions as no matter what value it is, it will not affect the end result of [tex]0=0[/tex] which is true.
6. Convert 23% to a fraction and then
a decimal.
Answer:
23/100
0.23
Step-by-step explanation:
Hope it helps....
Answer:
23% as a fraction is 23/100.
23% as a decimal is 0.23
Step-by-step explanation:
Forty seven hundredths in standard form
Answer is .47
Fourty seven hundredths in standard form is .47,
Sarah is completing a tax form. The tax is 15.8% of $43.000. How much tax does Sarah have to pay?
Hey there! I'm happy to help!
To write a percentage as a decimal, you move the decimal place to the left two digits, so 15.8% as a decimal is 0.158.
To find the percentage of a certain number, you multiply it this percent by the certain number.
0.158×43000=6794
So, Sarah will have to pay $6,794.
Have a wonderful day! :D
if a/b = 5/4 and b/c = 3/2, what is c/a
Step-by-step explanation:
[tex] \frac{a}{b} = \frac{5}{4} \: \: \: \: \: \: \frac{b}{c} = \frac{3}{2} [/tex]
[tex] \frac{a}{b} \times \frac{b}{c} = \frac{5}{4} \times \frac{3}{2} [/tex]
[tex] \frac{a}{c} = \frac{15}{8} [/tex]
[tex] \frac{c}{a} = \frac{8}{15} [/tex]
Answer:
[tex]\huge\boxed{\sf \frac{a}{c} = \frac{15}{8} \ \ OR \ \frac{c}{a}= \frac{8}{15} }[/tex]
Step-by-step explanation:
[tex]\sf Given \ that\\\\\frac{a}{b} = \frac{5}{4} \\\\\frac{b}{c} = \frac{3} {2}\\\\Multiplying \ both \ of \ the \ above \ equations\\\\\frac{a}{b} * \frac{b}{c} = \frac{5}{4} * \frac{3}{2} \\\\\frac{a}{c} = \frac{5*3}{4*2} \\\\\bold{\frac{a}{c} = \frac{15}{8} }[/tex]
Hope this helped!
~AnonymousHelper18074/3y = 16 solve for y
Answer:
y=12
Step-by-step explanation:
First we should rewrite the left side to look like
4y/3=16
Then multiply 3 to both sides
4y=48
Now divide by 4
y=12
The equivalent value of the expression is y = 12
Given data ,
Let the equation be represented as A
Now , the value of A is
( 4/3 )y = 16
On simplifying the equation , we get
( 4/3 )y = 16
So , the left hand side of the equation is equated to the right hand side by the value of ( 16 )
Divide by 4 on both sides , we get
( 1/3 )y = 16/4
( 1/3 )y = 4
Multiply by 3 on both sides , we get
y = 4 x 3
On simplifying , we get
y = 12
Therefore , the value of y = 12
Hence , the expression is y = 12
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The temperature outside in -5°C on Monday. Overnight it drops by 3°C. Between 9 am and noon the next day it rises 2°C. What is the temperature on Tuesday at noon?
Answer:
-6
Step-by-step explanation:
-5-3=-8
-8+2=-6
you subtract 3 from the Total temperature then and 2 to the answer
I need to know what x is and if you could put the steps that could be really helpful (THANK YOU)
Step-by-step explanation:
Hey there!!!
Here,
Triangle BCM and triangle ABC are 2 isosceles triangle.
Solving in triangle BCM.
Angle CBM = 31° { it is the base angle.}
Angle CBM + 31° + angle BCM = 180° { sum of interior angle of a triangle is 180°}.
31°+31°+ angle BCM = 180°
Angle BCM = 180° - 62°
Therefore the measure of angle BCM = 118°.
Again,
Solving in triangle ABC.
Angle BCM + angle ACB = 180° { being linear pair}.
118°+ angle ACB = 180°
Angle ACB = 180°-118°
Therefore the measure of angle ACB is 62°.
Angle ACB = angle BAC (Base of an isosceles triangle).
Therefore the measure of angle BAC = 62°.
Now, To find x,
Angle BAC + angle ACB + angle x = 180° (sun of interior angle of a triangle is 180°).
62°+62°+angle x = 180°
Therefore the measure of angle x is 56°.
[tex]hope \: it \: helps...[/tex]
It takes Mrs. Rice 4 hours to drive the 240 miles to visit her sister in Plano.
Calculate the rate to the nearest whole mile per hour for Mrs. Rice's drive.
Given:
Time = 4 hours
Distance = 240 miles
To find:
The speed or the rate mile per hour for Mrs. Rice's drive.
Solution:
We know that,
[tex]Speed =\dfrac{Distance}{Time}[/tex]
On substituting the given values, we get
[tex]Speed =\dfrac{240}{4}[/tex]
[tex]Speed =60[/tex]
Therefore, the speed or rate is 60 mile per hour for Mrs. Rice's drive.