Answer:
Breadth = 60, Length = 60
Step-by-step explanation
Let length & breadth of rectangular area be : L & B
As, Fencing Yards = 320. So, perimeter ie 2 (L + B) = 320
B = (320 - 2L)/2 → B = 160 - L (*)
Area of rectangle [A] = L x B = L (160 - L) → A = 160L - L^2
Maximising Area, So first derivative d [A] / d [L] = 160 - 2L
d [A] / d [L] ] = 0 → 160 - 2L = 0 → L = 160/2 → L = 80
By (*) : B = 160 - L = 160 - 80 → B = 80
Checking maximising condition, double derivative d^2[A] / d[L]^2 = -2
As d^2[A] / d[L]^2 is negative, L & B values are maximising A
If f(x) = 2x + 1 and
g(x) = -(x - 1)² + 3 what is the smallest solution for f(x)=g(x)?
Answer:
The smallest solution is x=-1
Step-by-step explanation:
Quadratic Equation
We have:
[tex]f(x)=2x+1[/tex]
[tex]g(x)=-(x-1)^2+3[/tex]
We'll find the solutions of f(x)=g(x), or:
[tex]2x+1=-(x-1)^2+3[/tex]
Operating:
[tex]2x+1=-(x^2-2x+1)+3[/tex]
[tex]2x+1=-x^2+2x-1+3[/tex]
Rearranging all terms on the left side:
[tex]2x+1+x^2-2x+1-3=0[/tex]
Simplifying:
[tex]x^2-1=0[/tex]
Since the term with the x is missing, we can solve for x:
[tex]x^2=1\qquad\Rightarrow x=\sqrt{1}=\pm 1[/tex]
There are two solutions:
x=1, x=-1
The smallest solution is x=-1
Write an equation for the problem. Use n for the variable. *
$5 less than the amount Steven has is $25.
Answer:
[tex]the \:equation \: for \: the \: problem \: is : \\ n - 5 = 25. \\ and \: the \: value \: of \: n \: is \: 30.[/tex]
Step-by-step explanation:
[tex]if \: n \: is \: the \: variable, \: then : \\ n - 5 = 25 \\ n = 30.[/tex]
What is 39% of 198? Percantage
Answer:
39% of 198 = 77.22
Have a nice day.
1: Calculate the percentage of a number.
For example: 39% of 198 = 77.22
2: Calculate a percentage based on 2 numbers.
For example: 77.22/198 = 39%
hope this help!
CHOP CHOP PLZ HURRRYYYYY I WILL POST ONE MORE QUESTION FOR 20 POINTS AND BRAILY CHOP CHOP PLZ
Answer:
given, verticals angle thm, definition of supplementary, {you need to see the pic for it}, substitution, and you need to see the pic for the rest so i can’t help
can you go answer my question tho
Step-by-step explanation:
how do simplify -15.6/-4
The answer is -3.9
Step-by-step explanation:
What is sin 60 degrees?
Answer:
A
Step-by-step explanation:
Evaluate the following algebraic expression for the given value of the variable
Answer:
[tex]\boxed{8}[/tex]
Step-by-step explanation:
-Solve the following expression when [tex]x = 4[/tex]:
[tex]\frac{5x + 12}{4}[/tex]
-Apply the value of [tex]x[/tex] onto the equation:
[tex]\frac{5x + 12}{4}[/tex]
[tex]\frac{5(4)+ 12}{4}[/tex]
-Multiply both the [tex]5[/tex] and [tex]4[/tex]:
[tex]\frac{5(4)+ 12}{4}[/tex]
[tex]\frac{20+ 12}{4}[/tex]
-Add both [tex]20[/tex] and [tex]12[/tex]:
[tex]\frac{20+ 12}{4}[/tex]
[tex]\frac{32}{4}[/tex]
-Divide [tex]32[/tex] by [tex]4[/tex]:
[tex]\frac{32}{4}[/tex]
[tex]\boxed{8}[/tex]
So, therefore, the final answer is [tex]8[/tex].
Answer:
Step-by-step explanation:
My answer is 8!!!
If x is equal to 4 then 5x4=20 because if there is no sign then that means that you have to multiply, then you add 20 and 12 which is equal to 32, And then you simplify 4 which equals 8, or you can think of dividing 32 and 4 which is also 8.
find the equation of the line shown
how do you do this ?
Answer:
y=1/2x+0.5
Step-by-step explanation:
The slope is 1/2, which you can see by looking at the change of y/x. The y intercept is 0.5, which can be seen on the y axis.
what is 5.6 rounded to the nearest tenth
Answer:
it would be 5.60
Step-by-step explanation:
5.60 is the answer
Jordan created a scale drawing of a rectangular room. The drawing is 8 inches long by 6 inches wide. He used a scale of 1 inch - 3 feet. What is the area, in square feet,
Answer: 144 feet
Step-by-step explanation:
Well solving for area you multiply length times wedth. So multiply 8 and 6 to get 48. Now you have to convert 48 inches into feet. So just multiply 48 times 3 to get 144.
Help it is for Geometry
Answer:
-3/4
Step-by-step explanation:
674
x 38
Multiply by the ones.
Multiply by the tens.
+ Add the partial products.
+
Answer:
25612
Step-by-Step Explanation:
Simple multiplication
Solve the system of equations..
y = 8x - 6
y= 5x +9
Answer:
x = 5
y = 34
Step-by-step explanation:
Sub y = 8x - 6 into second equation (y = 5x + 9)
8x - 6 = 5x + 9
Rearrange by collecting like terms
8x - 5x = 9 + 6
3x = 15
x = 5
Sub x = 5 into first equation (y = 8x - 6)
y = (8*5) - 6
y = 40 - 6
y = 34
Write an expression meaning a number divided by 4 + 8.
Answer:
x/4+8
Step-by-step explanation:
....................................
Answer:
what i believe you are looking for:
[tex] \frac{x}{4 + 8} [/tex]
(please help I will give brainlist) Twenty students tried out for the basketball team. Sever were selected. What is the ratio of students selected to those trying out?
Answer:
7:20
Step-by-step explanation:
35% of the students made the team
Answer:
7:20
Step-by-step explanation:
hope this helps :)
Which postulate or theorem proves that these two triangles are congruent?
A. ASA Congruence Postulate
B. AAS Congruence Theorem
C. HL Congruence Theorem
D. SAS Congruence Postulate
Answer:
Option (B)
Step-by-step explanation:
From the given picture,
Given:
Two lines PM and QR are intersecting each other at a point N.
∠NMR ≅ ∠NPQ
NR ≅ QN
To prove:
ΔMNR ≅ ΔPNQ
Statements Reasons
1). NR ≅ QN 1). Given
2). ∠NMR ≅ ∠NPQ 2). Given
3). ∠MNR ≅ ∠PNQ 3). Definition of vertical angles
4). ΔMNR ≅ ΔPNQ 4). AAS theorem of congruence
Therefore, Option (B) will be the correct option.
Answer:
B: AAS Congruence Theorem
(x + 1)(x - 3)(x - 4)
Answer:
Simplified:
x^3 - 6x^2 + 5x + 12
Roots:
-1
3
4
Gregoria borrowed $2,450, to be paid back at 3.5% simple interest. She repays $3221.75. How many years was the loan period?
Answer:
90.7yrs.
Step-by-step explanation:
Given parameters:
Amount borrowed = $2450
Interest rate = 3.5%
Amount repaid = $3221.75
Unknown:
Number of years the load was paid = ?
Solution:
The formula of simple interest;
I = PRT
Where I is the interest
P is the principal
R is the rate
T is the time
To find the interest;
Interest = Amount paid back - loan = 3221.75 - 2450 = 771.75
Now;
P = IRT
2450 = 771.75 x [tex]\frac{3.5}{100}[/tex] x T
2450 = [tex]\frac{2701.25T}{100}[/tex]
T = [tex]\frac{245000}{2701.125}[/tex] = 90.7yrs
The number of years of the loan period was 90.7yrs.
I need help solving these problems.
A sign company charges $28 per yard for each custom-made banner. Ms.Gill orders two banners that are each 1 7/8 yards long, and one banner that is 2 5/8 yards long. What will Ms.Gill pay for all three banners?
Answer:
%178.50
Step-by-step explanation:
$52.50+$73.50=$126
$126+$52.50=
$178.50 for all three banners
Triangle ABC is located in the third quadrant of a coordinate plane. If triangle ABC is reflected across the −axis to obtain triangle, A’B’C’, which statement is true? A. Triangle A’B’C’ lies in quadrant II and is congruent to Triangle ABC B. Triangle A’B’C’ lies in quadrant IV and is congruent to Triangle ABC C. Triangle A’B’C’ lies in quadrant II and is not congruent to Triangle ABC D. Triangle A’B’C’ lies in quadrant IV and is not congruent to Triangle ABC
Answer:
The answer is B
Step-by-step explanation:
Answer:
It’s Triangle A’B’C’ lies in quadrant II and is congruent to Triangle ABC
Step-by-step explanation:
I just took the test
If a turtle walks 24 meters in 30 minutes, about how many minutes will it take the turtle to walk 36 meters?
30/24= 1.25m per min
= 1.25×36= 45 minutes
MATH QUESTION PLS HELP!
Answer:
4) -14/5
Step-by-step explanation:
In the diagram, which of these must be true
Answer:
XYN is a right angle
explanation:
In the function f (x) = = (x²-1) / (x-1), what happens if x takes the value of 1? Explain your answer.
Answer:
If x=1, then f(x)= undefined
Step-by-step explanation:
1*1=1
1-1=0
0/0
You can't divide by 0, so anything that is divided by 0 is undefined.
((1*1)-1)/(1-1)
(1-1)/(1-1)
0/0
0/0=Undefined
f(x)= undefined
For a recent season in college football, the total number of rushing yards for that season is recorded for each running back. The mean number of rushing yards for the running backs that season is 790 yards. One running back had 1,637 rushing yards for the season, which is 2.42 standard deviations above the mean number of rushing yards. What is the standard deviation of the number of rushing yards for the running backs that season?
(A) 250 yards
(B) 300 yards
(C) 350 yards
(D) 400 yards
(E) 450 yards
Answer:
(C) 350 yards
Step-by-step explanation:
From available information
Mean = 790
1 running back = 1637 yards
Standard deviation above mean = 2.42
Using formula
z =( x - mean)/sd
2.42 = (1637-790)/sd
2.42 = 847/sd
We cross multiply
2.42sd = 847
Divide through by 2.42
Sd = 847/2.42
Sd = standard deviation = 350
So our answer is 350 and therefore option c.
A sandwich is 2 12 feet long. You decide to cut the sandwich into pieces that are 1 14 feet long. How many pieces will you cut?
Answer:
Im assuming you meant 2 1/2 and 1 1/4, so the answer would be 2 pieces
Step-by-step explanation:
2 1/2-1 1/4=1 1/4, so 2
Using the division operation, the number of pieces of sandwich that can be cut is 2
Given the Parameters :
Length of sandwich = 2.5 feets Length per piece cut = 1.25 feetsThe number of pieces that can be cut out of the sandwich can be calculated thus :
Length of sandwich ÷ Length per piece cutNumber of pieces = (2.5 ÷ 1.25) = 2
Therefore, there are 2 pieces of sandwich that can be cut.
Learn more : https://brainly.com/question/14429071
Find the missing side This is due in a hour
Answer:
The Arch is 630 ft tall
Step-by-step explanation:
what is the price of 29.99 after a 33 1/3 markdown?
Answer:
$29.99*0.6667%= $19.99= markdown price
Step-by-step explanation:
Mkae me the brainlist plssss
Answer:
$29.99*0.6667%= $19.99= markdown price
Step-by-step explanation:
PLEASE HURRY. An electrician charges $45 per hour plus a fixed charge of $30 which of these equations could be used to determine C, the cost an electrician charges for h hours of work?
$45 per hour plus a fixed change of $30