Answer:
A square of side length 40 m will give the maximum area of the play area
Step-by-step explanation:
Mathematically, it has been established that a square gives the maximum area of a quadrilateral
Hence, for us to have a maximum area of the given perimeter, we have to divide the perimeter by 4 to get the side length of the square
From what we have, we know that the perimeter of the fencing is 160 m
To get the side length, we divide the perimeter by 4
Side length of the shape would be 160/4 = 40 m
Can someone help me find x for both
On solving the provided question, we can say that - the value of x in triangle ABD is = 60
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
here, in triangle ABD
x = 60
as its acute angle
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HELP I NEED AN ANSWER!!
Answer:
[tex]1)2 ~real ~ solutions[/tex]
[tex]2) 0 ~ real ~solutions[/tex]
[tex]3) 1~real ~solutions[/tex]
Step-by-step explanation:.
[tex]1) x^2+y^2=17[/tex]
[tex]y=-1/2x[/tex]
[tex]x^2+1/4x^2=17[/tex]
[tex]4x^2+x^2=68[/tex]
[tex]5x^2=68[/tex]
[tex]x^2=68[/tex]
[tex]x=[/tex] ± [tex]\sqrt{68/5}[/tex]
----------------------
[tex]2) y=x^2-7x+10[/tex]
[tex]y=-6x+5[/tex]
[tex]-6x+5=x2-7x+10[/tex]
[tex]x^2-x+5=0[/tex]
[tex]a=1[/tex]
[tex]b=-1[/tex]
[tex]c=5[/tex]
[tex]D=b^2-4ac[/tex]
[tex]=1-20[/tex]
[tex]=-19[/tex]
[tex]\sqrt{0} =\sqrt{-19}[/tex]
---------------------
[tex]3) y=-2x^2+19[/tex]
[tex]8x-y=-17[/tex]
[tex]8x+2x^2-9=-17[/tex]
[tex]8x+2x^2+8=0[/tex]
[tex]4x+x^2+4=0[/tex]
[tex]x^2+4x+4=0[/tex]
[tex]x^2+2x+2x+4=0[/tex]
[tex]x(x+2)+2(x+2)=0[/tex]
[tex](x+2)(x+2)^2=0[/tex]
[tex](x+2)^2=0[/tex]
[tex]x=-2[/tex]
------------------------------
hope it helps...
have a great day!!!
what is the area of this figure?
Answer:
357.5cm^2
Step-by-step explanation:
15 A manufacturer needs 51 pounds of plums to make 27
quarts of prune juice. How many pounds of plums
would the manufacturer need to make 18 quarts of prune
juice?
Answer:
34 pounds
Step-by-step explanation:
51 pounds of plum = 27 quarts
x pounds of plum = 18 quarts
(cross multiply)
27x = 918
divide both sides by 27
x=34 pounds
What’s the 2+2-7 pls I help thx
Answer:
-3
Step-by-step explanation:
2 + 2 - 7
\ /
4 - 7
\ /
-3
Answer:
-3
Step-by-step explanation:
Follow P.E.M.D.A.S from left to right.
1. A: 2+2=4
2. S: 4-7=-3
please help will mark brainliest
After diving the polynomials, the quotient and remainder is q(x)=-x^2+1 and r(x)=-1 respectively.
What are polynomials?
The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases." There is no limit to the number of terms that can exist in a polynomial.
The polynomials are -
a(x)=-x^4
b(x)=x^2+1
Divide a(x) by b(x).
-x^4/x^2+1 = -x^2+1 with remainder as -1.
The quotient is obtained as q(x)=-x^2+1 and the remainder is r(x)=-1.
The given equation is -
a(x)/b(x)=q(x)+[r(x)/b(x)]
Plugging in all the values -
-x^4/x^2+1=-x^2+1+[-1/x^2+1]
[-x^4/x^2+1]-[-1/x^2+1]=-x^2-1
-x^4+1/x^2+1=-x^2-1
-x^4+1=[-x^2+1][x^2+1]
-x^4+1=(-x)^2[x^2+1]+(1)[x^2+1]
-x^4+1=-x^4-x^2+x^2+1
-x^4+1=-x^4-1
So, LHS=RHS is proved using the equation.
Therefore, the quotient is q(x)=-x^2+1 and the remainder is r(x)=-1.
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BRAINLIEST FOR THIS QUESTION
A shop sells orange juice in the following ways: 500 ml bottle for £1.40 2 litre carton for £2.50 each or 2 cartons for £4.50 3 litre carton for £3.50 What's the cheapest way of buying exactly 7 litres with no extra? Find the amount of each type of bottle or carton you need and the total cost of buying 7 litres.
The cheapest way of buying exactly 7 litres with no extra is buying 500 ml bottle for £1.40
The amount of buying 7 litres of orange juice at the cheapest buy is £2.52
What is the cheapest buy?500 ml bottle for £1.40
Convert ml to liters:
500 ml = 0.5 liters
Unit rate = 0.5/1.40
= £0.36 per liter
2 litre carton for £2.50
Unit rate = 2/2.50
= £0.8 per liter
2 cartons for £4.50
Unit rate = 2/4.50
= $0.44 per carton
3 litre carton for £3.50
Unit rate = 3 / 3.50
= £0.86 per liter
The cheapest buy per liter of the orange juice is buying 500 ml bottle for £1.40.
Therefore, the cost of 7 liters at the cheapest buy
= £0.36 per liter × 7
= £2.52
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Brainlist please help
Answer:
176.625
Step-by-step explanation:
Answer correctly for brainliest (8th grade math)
eat a peppermint it will stimulate your small brain
Please help me! Sorry if the image is blurry.
Answer:
B) 27
Step-by-step explanation:
(-3,27)
(-1,19)
(0,15)
(2,7)
What is the value of y?
A. 83
B. 89
C. 96
D. 97
Answer:
A. 83 is the correct option.
Step-by-step explanation:
all angles of a triangle are always equal to 180.
46 + 51 + y = 180
97 + y = 180
180 - 97 = 83
Have a nice day! :-)
3. A bank is offering 4.5% simple interest on a savings account. If you deposit $8,000, how much interest will you earn in five years? (2 Points) A. $260 B. $720 C. $1,800 D. $3,600
Answer:
Answer c 1,800
Step-by-step explanation:
The total interest at the rate of 4.5% interest of the amount of $8000 will be $1800 hence option (C) will be correct.
What is simple interest?Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time.
Simple interest has a constant principal amount, as opposed to compound interest, which multiplies the interest from the principal of previous years to calculate the interest of the subsequent year.
Given that
Principle amount (P) = $8000
Rate of interest (R) = 4.5%
Time period (T) = 5 years.
The interest in the T time period has been given by
Total interest = PRT/100
So,
Total interest = 8000×4.5×5/100 = 1800
So total interest of the given amount will be $1800.
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A rectangle has a perimeter of 16 centimeters. The lengths of the sides of the rectangle are between 1 centimeter and 7 centimeters. If x represents the length of a side of the rectangle, then the rectangle's area is represented by x(8-x) square centimeters. Suppose a square is constructed to have the same area as this rectangle. The length of a side of the square is represented by centimeters. What is the range of possible perimeters of the square? Round answers to the nearest hundredth of a centimeter.
The range of possible perimeters of the square=10.583
What is area of a rectangle?Area of a rectangle (A) is the product of its length (l) and width (w).
A= l. w
here, we have,
A rectangle has a perimeter of 16 centimeters.
The lengths of the sides of the rectangle are between 1 centimeter and 7 centimeters.
let, x represents the length of a side of the rectangle,
then the rectangle's area is represented by x(8-x) square centimeters.
i.e. area of square = 8x-x^2
the side = √x(8-x)
perimeter= 4×√x(8-x)
Hence, the range of possible perimeters of the square=10.583
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Homework please help
Answer:
c. infinitely many solutions
Step-by-step explanation:
hope this helps :)
The area of a circle is 497 cm2. What is the circumference, in centimeters? Express
your answer in terms of .
FE
Answer:
14π
Step-by-step explanation:
Area πr^2= 49π sq cm
so r= 7 cm
perimeter= 2πr= 14π
7: There are 13 visitors at Al Shaheed Park today. This is 20 % of the normal
amount of visitors. How many visitors would there normally be today?
Answer:
65
Step-by-step explanation:
20% is 1/5 of 100.
multiply 13 by 5 to get the original amount of numbers. you can proof check it by doing
13/65 which is 0.2. multiply the decimal by 100 and you get 20. which is 20%
Help please please help help me!!!!
Answer:
I got 126.12 in my notes
Step-by-step explanation:
Please help! This question is really confusing me!
Answer:
The area is the square unit.
Let the scale factor is k.
The unit circle has area of π.
Similar circle is k times the unit circle.
r₂/ r₁ = kThe ratio of areas is the square of the scale factor:
A₂/A₁ = k²If the scale factor is r, then the area of the circle with radius of r is:
A₂ = A₁k² = A₁r²Since A₁ = π, the area of A₂ is:
A₂ = π*r² = πr²What are 3 completed examples for systems of equations?
Answer:
There are three ways to solve systems of linear equations: substitution, elimination, and graphing.
How many liters of air are in a room that measures 11. 0ft×11. 0ft and has an 8. 00 ft ceiling? 1in. =2. 54cm (exactly); 1L=103cm3
The volume of air present in the room is 27410.7075 lt .
What is Volume ?The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied inside an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.
The capacity occupied by a three-dimensional solid shape is known as volume. It is difficult to imagine in any shape, yet it may be compared amongst shapes. For instance, a compass box has a larger volume than an eraser placed inside of it. We split the area into equal square units to get the area of any two-dimensional form. Similar to this, we shall split the volume of solid objects into equal cubical units while calculating it. In the part after this one, let's examine how to determine the volume of various solid forms.
The dimension of the room is 11*11*8 in feet.
so, 11 ft = 11 *2.54*12 = 335.28 cm
And, 8 ft = 8 *2.54*12 = 243.84 cm
Volume of the room is = 335.28 * 335.28 * 243.84 = 27410707.5 [tex]cm\x^{3}[/tex]
In litre,
27410707.5 [tex]cm\x^{3}[/tex] = 27410707.5/1000 = 27410.7075 lt.
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I need help on this problem will give Brainlist if right!
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
all interior angles add up to 180 and exterior add up to 360 so if u do 115+115=230, 360-230=130, 130÷2=65, 65 is the other interior angle then u add the two interior angles and subtract from 180
To build a handicapped-access ramp, the building code
states that for every 1 inch of vertical rise in height, the
ramp must extend out 12 inches horizontally, as shown in
the diagram below.
*Show solving work on the sketch pad!*
(a) Set up your trig equation (before solving below):
(2 points)
hyp
1 opp
12
adj
Submit
(b) What is the angle of inclination, x, of this ramp, to the
nearest hundredth of a degree? (2 points)
85.22
4.76
85.24
4.78
Answer:4.76
Step-by-step explanation:
tan 0= opposite side/adjacent side
tan x = 1/12
x =tan-1 (1/12)
~~ 4.76 degrees
The angle of inclination x of this ramp is 4.76 degrees.
What is a right-angle triangle?'A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or any one angle is a right angle.'
According to the given problem,
Perpendicular = 1 inch
Base = 12 inches
Angle of inclination = x
We know,
tan (x) = [tex]\frac{Perpendicular}{Base}[/tex]
⇒ tan(x) = [tex]\frac{1}{12}[/tex]
⇒ x = [tex]tan^{-1} \frac{1}{12}[/tex]
⇒ x = 4.76 degrees.
Hence, we can conclude, the angle of inclination is 4.76 degrees.
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The discriminant of the equation x^2 - 4x + 4 = 0 shows there will be solution(s).
1. one real
2. one imaginary
3. two imaginary
4. no real or imaginary
Answer:
one real
Answer: 1
Step-by-step explanation:
Givens
a = 1
b = -4
c = 4
Discriminate
Discriminate = sqrt(b^2 - 4*a*c)
Discriminate = sqrt( (-4)^2 - 4 * (1)(4) )
Discriminate = sqrt ( 16 - 16)
Discriminate = sqrt(0)
Discriminate = 0
That means the 1 real root is - b / 2a = 4/(2*1) = - -2 = 2
21
Select the correct answer from the drop-down menu.
2.36 radians E
1.18 radians
B
IF AD= AB
. the ratio of the length of BC to the length of DE is
Reset
Next
Answer:
the answer should be 3/4
The ratio of the length of arc BC to length of arc DE is calculated as: 1/2.
What is the Length of an Arc?Length of an arc = ∅r, where r is radius, and ∅ is angle measure in radians.
AD = 2/3AB
Length of DE:
∅ = 1.18 + 2.36 = 3.54 radians
r = 2/3AB
Length of arc DE = (3.54)(2/3AB) = 2.36(AB)
Length of BC:
∅ = 1.18 radians
r = AB
Length of arc BC = (1.18)(AB) = 1.18(AB)
Ratio of the length of BC to DE = 1.18(AB) / 2.36(AB) = 1.18/2.36 = 1/2
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What is the sum in simplest form?
4.5 + 1 3/5
Answer: 6 1/10
Step-by-step explanation:
s² - 2st =
s=5 and t= -1
Answer:
27
Step-by-step explanation:
s = 5
t = - 1
s² - 2st
= 5² - 2 ( 1 ) ( - 1 )
= 25 - ( - 2 )
= 25 + 2
= 27
help me pleaseeee
dont put any links or files because im not opening it
Answer:
According to be for the first one it would be: Nonlinear, and the second one would be: Show no pattern
Hope this helps!
You have a pitcher that holds 35.2 oz. of iced tea. If each glass holds 8.8 ounces, how many glasses can you completely fill?
Answer: 4
Step-by-step explanation:
35.2/ 8.8= 4
4
Is the following relation a function?
Answer:
no
Step-by-step explanation:
It doen't pass the vertical line test
Give brainliest please
Answer:
No.
Step-by-step explanation:
Because two different inputs have the same output.
PLEASE PLEASE HELP ME I DONT UNDERSTAND THIS SUBJECT PLESASE!!!!!!!!!!!!!!
Lyle borrowed $3,000 from the bank at a simple interest rate of 5.5%. The total amount Lyle paid the bank was $3,495. What was the amount of time Lyle had the loan?
____ years
Answer:
3
Step-by-step explanation:
Answer:
i belive those are the ones that are under 90 persent
Step-by-step explanation: