Answer:
[tex] \boxed{820 \: m}[/tex]Step-by-step explanation:
Given,
Area of square ground = 42025
Now, let's find the length of square ground
Area of square = [tex] = {l}^{2} [/tex]
plug the values
[tex]42025 = {l}^{2} [/tex]
Swipe the sides of the equation
[tex] {l}^{2} = 42025[/tex]
Squaring on both sides
[tex] \sqrt{ {l}^{2} } = \sqrt{42025} [/tex]
Calculate
[tex]l = 205[/tex] meters
The length of square ground = 205 meters
Now,Let's find the perimeter of square
Perimeter of square [tex] = 4l[/tex]
plug the value of length
[tex] = 4 \times 205[/tex]
Multiply the numbers
[tex] = 820[/tex] meters
Hope I helped.
Best regards!!
Please give me the correct answer her please
Answer:
9.3 inStep-by-step explanation:
m∠UTV = 112° ⇒ m∠WTV = 180° - 112° = 68°
sin(68°) ≈ 0.9272
sin(∠WTV) = WV/TV
WV/10 ≈ 0.9272
WV ≈ 9.272
WV ≈ 9.3
FInd the Slope and y-intercept
3y-x=18
Answer:
The slope is 1/3 and the y intercept is 6
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
3y -x =18
Add x to each side
3y = x+18
Divide each side by 3
3y/3 = x/3 +18/3
y = 1/3x +6
The slope is 1/3 and the y intercept is 6
We need to solve for y (y = mx + b):
3y - x = 18
~Add x to both sides
3y = 18 + x
~Divide 3 to everything
y = 6 + x/3 or y = 6 + 1/3/x
So... 1/3 is the slope and 6 is the y-intercept.
Best of Luck!
Find the inverse of the function f(x) = 2x² - 3x NO ABSURD ANSWERS IF YOU DON't WANT YOURSELVES TO GET REPORTED!
Answer:
[tex]\boxed{f^{-1}(x)= \frac{\sqrt{8x+9}+3}{4}}[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-3x[/tex]
[tex]f(x)=y[/tex]
[tex]y=2x^2-3x[/tex]
Switch variables.
[tex]x=2y^2-3y[/tex]
Solve for y.
Multiply both sides by 8.
[tex]8x=16y^2-24y[/tex]
Add 9 on both sides.
[tex]8x+9=16y^2-24y+9[/tex]
Take the square root on both sides.
[tex]\sqrt{8x+9} =\sqrt{16y^2-24y+9}[/tex]
Add 3 on both sides.
[tex]\sqrt{8x+9}+3 =\sqrt{16y^2-24y+9}+3[/tex]
Divide both sides by 4.
[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{\sqrt{16y^2-24y+9}+3}{4}[/tex]
Simplify.
[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{4y-3+3}{4}[/tex]
[tex]\frac{\sqrt{8x+9}+3}{4}= \frac{4y}{4}[/tex]
[tex]\frac{\sqrt{8x+9}+3}{4}=y[/tex]
Inverse y = [tex]f^{-1}(x)[/tex]
[tex]f^{-1}(x)= \frac{\sqrt{8x+9}+3}{4}[/tex]
Answer:
[tex] f^{-1}(x) = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]
Step-by-step explanation:
[tex] f^{-1}(x) = 2x^2 - 3x [/tex]
Change function notation to y.
[tex] y = 2x^2 - 3x [/tex]
Switch x and y.
[tex] x = 2y^2 - 3y [/tex]
Solve for y.
[tex] 2y^2 - 3y = x [/tex]
Complete the square on the left side. We must divide both sides by 2 to have y^2 as the leading term on the left side.
[tex] y^2 - \dfrac{3}{2}y = \dfrac{x}{2} [/tex]
1/2 of 3/2 is 3/4. Square 3/4 to get 9/16.
Add 9/16 to both sides to complete the square.
[tex] y^2 - \dfrac{3}{2}y + \dfrac{9}{16} = \dfrac{x}{2} + \dfrac{9}{16} [/tex]
Find common denominator on right side.
[tex] (y - \dfrac{3}{4})^2 = \dfrac{8x}{16} + \dfrac{9}{16} [/tex]
If X^2 = k, then [tex] X = \pm \sqrt{k} [/tex]
[tex] y - \dfrac{3}{4} = \pm \sqrt{\dfrac{1}{16}(8x + 9)} [/tex]
Simplify.
[tex] y = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]
Back to function notation.
[tex] f^{-1}(x) = \dfrac{3}{4} \pm \dfrac{1}{4}\sqrt{8x + 9} [/tex]
The base BC of an equilateral triangle ABC lies on y-axis. The coordinates of points C are (0, -3). The origin is the mid –point of the base. Find the coordinates of the points A and B. Also find the coordinates of another point D such that BACD is a rhombus.
Answer
Point b is (0,0) Point a is (3,-2) Im not doing the second part
Step-by-step explanation:
i need help with this
Answer:
Step-by-step explanation:
diameter=2×5=10 cm
32/10=3.2≈3
128/10=12.8≈12
total number of squares=12×3=36
Please help I don't understand
Answer:
£531.52
Step-by-step explanation:
We are given the profit in week 1 and information about week 2. We are asked for the difference between week 2 profit and week 1 profit.
__
In week 2, pizza is sold 4 ways. The diagram shows the numbers of pizzas sold each way. The table shows the profit made for each way the pizza was sold. We need to add up the profits from each of the sales to find the profit for week 2.
10-inch/normal price: profit = 407×£3.72 = £1514.0410-inch/offer price: profit = 358×(-£0.49) = -£175.4212-inch/normal price: profit = 169×£5.26 = £888.9412-inch/offer price: profit = 142×(-£0.04) = -£5.68Then the total profit in week 2 is ...
£1514.04 -175.42 +888.94 -5.68 = £2221.88
So, profit in week 2 exceeds profit in week 1 by ...
£2221.88 -1690.36 = £531.52 . . . more profit in week 2
If log3=0.4771 and log2=0.3010,Find the value of log12
Answer:
log 12 = 1.0761
Step-by-step explanation:
log 12
=log(3*2*2)
= log 3 +log 2+ log 2
=0.4771+0.3010+0.3010
=1.0761
Answer:
Log 12 = 1.0791
Step-by-step explanation:
=> log (12)
Prime Factorizing 12
=> log (2×2×3)
Using log rule : [tex]log (a*b) = log a+logb[/tex]
=> Log 2 + log 2 + log 3
Given that log 2 = 0.3010 , log 3 = 0.4771
=> 0.3010 + 0.3010 + 0.4771
=> 1.0791
what is the value of [3.6]
Answer:
3
Step-by-step explanation:
You remove the brackets and round down to the nearest whole number which is three..
Edge 2020
~theLocoCoco
Answer:
a
Step-by-step explanation:
edge 2021
Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must be as large as possible.
Answer:
2x2x7
Step-by-step explanation:
what is the slope of the line shown below (2 2) (4 8) a. 3 b. 1/3 c. -1/3 d. -3
Answer:
Option A.3
Step-by-step explanation:
If its rise over run the fraction should be right 2 up 6 makeing a fraction of
6/2 which equals 3
The line has a slope of 3
One of these is not an aquatic swimming A. canoeing B. shooting C. swimming D. diving
The answer is B. Shooting. Shooting is a sport on dry land, while the other three are aquatic sports, that is, they are on or in the water.
In a particular year, a total 44,064 of students studied in two of the most popular host countries when traveling abroad. If 8382 more students studied in the most popular host country than in the second most popular host country, find how many students studied abroad in each country. There were ____ students who studied abroad in the most popular host country.
Step-by-step explanation:
Total=44,064
Host countries= 2
2nd most popular country= x
Popular country=x+8382
x+x+8,382=44,064
2x=44,064-8,382=35,682
2x=35,682
x=17,842
2nd most popular=17,842
Popular=17,842+8,382=26,224
Answer=26,224
There were students who studied abroad in the most popular host country by forming the equation is 26,224
How equations are formed?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.
Here, It is given:
Total number of students = 44,064
Number of Host countries= 2
Let the 2nd most popular country= x
So, the Popular country becomes x+8382
Now, According to the question:
⇒x+x+8,382=44,064
⇒2x=44,064-8,382=35,682
⇒2x=35,682
⇒x=17,842
Hence, The number of students in 2nd most popular country=17,842
And, The number of students in a popular country
= 17,842+8,382=26,224
To learn more about forming equations, visit:
https://brainly.in/question/29041303
#SPJ2
List the coordinates of FOUR vertices that create the feasible region on the graph. Submit your answer in the form of FOUR ordered Pairs (x, y)
Answer:
see below
Step-by-step explanation:
The feasible region is the shaded area. We just need to find the coordinates of its vertices. These are (200, 200), (300, 0), (500,0) and (300, 200).
Starting at sea level, a submarine descended at a constant rate to a depth of −5/6 mile relative to sea level in 4 minutes. What was the submarine's depth relative to sea level after the first minute? Answer with a fraction :3
Answer:
-5/24 miles
Step-by-step explanation:
The submarine descends at a rate of -5/6 miles every 4 minutes.
To find the depth of the submarine relative to sea level after the first minute, we have to multiply the rate of descent by he time spent (1 minute). That is:
[tex]\frac{\frac{-5}{6} }{4} * 1[/tex]
=> D = -5 / (6 * 4) = -5/24 miles
Therefore, the submarine's depth is -5/24 miles.
Answer:
-1 1/5
Step-by-step explanation:
I took the test and this was the correct answer :D
The slope of the line below is 4 . Which of the following is the point slope form of that line ? ( top answer gets )
Answer:
C
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 4 and (a, b) = (- 3, - 4) , thus
y - (- 4) = 4(x - (- 3)) , that is
y + 4 = 4(x + 3) → C
James determined that these two expressions were equivalent expressions using the values of y=4 and yu 6. Which
statements are true? Check all that apply
7x+4 and 3x+5+4x-1
When - 2. both expressions have a value of 18.
The expressions are only equivalent for X-4 and X- 6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When - 0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if X-
Answer with explanation:
Two or more Algebraic expressions are said to be equivalent, if both the expression produces same numerical value , when variable in the expressions are replaced by any Real number.
The two expressions are
1. 7 x +4
2. 3 x +5 +4 x =1
Adding and subtracting Variables and constants
→7 x +5=1
→7 x +5-1
→7 x +4
→ When x=2,
7 x + 4 =7×2+4
=14 +4
=18
So, Both the expression has same value =18.
→So, by the definition of equivalent expression, when ,you substitute , x by any real number the two expression are equivalent.
Correct options among the given statement about the expressions are:
1.When x = 2, both expressions have a value of 18.
2.The expressions have equivalent values for any value of x.
3.The expressions have equivalent values if x = 8.
a culinary student decorates a 8-in. -diameter round cake. What is the approximate are of the top of the cake?
Answer:
The top of the cake is 25.12 in²
Step-by-step explanation:
Hello!
So you are dealing with a circumference question! And because the diameter is 2x the radius, we know the radius is actually 4.
Lets write out the circumference formula and use that to help us.
c = 2[tex]\\\pi[/tex] x r
pi is 3.14....
But lets use 3.14
c = 2(3.14) x 4
Plus this into a calculator and we get 25.12 as the answer.
Answer:
≈50.265 [tex]in^{2}[/tex]
Step-by-step explanation:
You first have to find the radius since the formula for the area of a circle is A=[tex]\pi r^{2}[/tex].
Since the radius is half the diameter, just divide 8 by 2 which will give you 4.
r=4
Now plug in the radius into the formula and simplify.
A=[tex]\pi 4^{2}[/tex]
[tex]A=\pi 16[/tex]
≈50.265 [tex]in^{2}[/tex]
Please answer it now in two minutes
Answer:
VX = 8.8 in
Step-by-step explanation:
By applying Sine rule in the right triangle WXV,
Sin(∠W) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{\text{VX}}{\text{WX}}[/tex]
Sin(34)° = [tex]\frac{VX}{15}[/tex]
VX = 15.Sin(34)°
= 8.8379
≈ 8.8 in.
Therefore, measure of side VX is 8.8 in.
Please help I’m being timed!!! A country commits to decreasing spending for infrastructure in various ways at a rate of 30% per year. At the time of the announcement, the country is spending $12 billion per year. Which graph models the amount of infrastructure spending for future years?
Answer:
It would be the graph that has point (0,12) and is decreasing to the right.
Please Help!!! Will get brainiest if answer correctly with an explanation. Name the postulate or theorem you can use to prove wzv=wzy. given:
Answer:
AAS
Step-by-step explanation:
Δwzy=Δwzv
to prove the equality:
1- wz is a common side
angle: wzv=wzy=90 degrees ( height of triangle)
angle v= angle y
Since WZ bisects W, it's good to say that vwz and zwy
prove one side is equal and two angles
so ASA or AAS is the answer
Determine the equation of a line that passes through the points: (3, 12) and (- 2, -13)
Answer:
Step-by-step explanation:
(-13-12)/(-2-3)= -25/-5= 5
y - 12 = 5(x - 3)
y - 12 = 5x - 15
y = 5x - 3
Determine if the function is a polynomial function. If the function is a polynomial function, state the degree and leading coefficient. If the function is not a polynomial, state why. f(x)=x^4(2-x^3)+1
Answer:
The correct option is
This is a polynomial function of degree 7 with a leading coefficient of -1
Step-by-step explanation:
Functions that consist of a variable such as x raised to positive integer powers which are equal to or larger than zero added together to make the function are known as polynomial functions
Therefore, the function in the question which is f(X) = x⁴ × (2 - x³) + 1
Which can be expanded as follows
f(x) = 2·x⁴ - x⁷ + 1, which is the same as given as follow equation;
f(x) = -x⁷ + 2·x⁴ + 1
Which is polynomial function with a leading coefficient of -1 as it consists of only whole number positive powers of x including the powers of x 4 and 7
Therefore, the correct option is that f(x) is a polynomial function of degree 7 with a leading coefficient of -1.
Which equation describes the same line as y -3 equals -1 (x + 5)?
Answer:
y=-x-2
Step-by-step explanation:
y-3=-x-5
y=-x-2
help with pre algebra
Answer:
The y-axis.
Step-by-step explanation:
This is because it is mirroring across the y-axis, and the x-coordinate's sign is getting changed from positive to negative.
Answer:
Y-axis
Step-by-step explanation:
B is a reflection of point A across theY-axis. The vertical line is Y and the horizontal line is X.
Sarah serves at a restaurant and makes 20% of what she sells as tips. Her base salary is $10.20an hour. Each hour she sells an average of $60 of food and drinks. She also makes time and a half when she works over 8 hours during a single shift. Her work week contains three 10-hour shifts, one 5-hour shift, and one 11-hour shift. Using the same income deductions as stated in the previous question, what is Sarah's annual gross income and annual net incom
Sara works 46 hours per week
9 hours are overtime and 37 hours are regular time
pay rate at time and a half: 10.20∗1.5=15.30
regular hours plus overtime pay
37∗10.20=377.40
9∗15.30=137.70
Income due to tips
Total hours worked∗60per hour∗20%
46∗60∗.20=552
Weekly Income=Hourly income + tips
Weekly Income=377.40+137.70+552.00
Weekly Income=1067.10
Annual income=Weekly income∗52
Annual income=55489.20
What is the slope of line m?
Answer:
2.
Step-by-step explanation:
The slope is calculated by doing rise over run.
The rise is: 6 - 0 = 6.
The run is: 0 - (-3) = 0 + 3 = 3.
6 / 3 = 2 / 1 = 2.
Hope this helps!
Use the interactive number line to find the sum.
-5.5 + 3.7 =
Answer: -1.8
Step-by-step explanation:
Start at -5.5 and move the point on the number line up 3.7 spaces.
Hope it helps <3
Answer:
Your correct answer is -1.8
Step-by-step explanation:
−5.5 + 3.7
= −5.5+3.7
= −1.8
2x -2=10 solve for x
Answer:
x=6
Step-by-step explanation:
Take -2 and add it to 10 and get 12. So then the equation is 2x=12. Divide 2 by 12 and get x=6.
Please help me with this answer!! I am really stuck...No nonsense answers please.
Answer:
19
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
< DBG = 1/2 ( DG)
< DBG = 1/2 ( 360 - BD - BG)
= 1/2 ( 360 - 172 - 150)
= 1/2 (38)
= 19
PLEASEEEEANSWERWhich of the following linear equations represents the data chart below? y = 3x + 5 y = x − 5 y = 3x + 11 None of these choices are correcT
Answer:
y=3x+5
Step-by-step explanation: