The perimeter of the enlarged playground is 24.36 meters, and the increase in area is 16.9 m²
What is an area?
An area is the amount of space occupied by a two dimensional shape or object. The area of a rectangle is:
Area = length * width
Given that length = 5.5 m, width = 3.2 m
Hence:
Area = 5.5 * 3.2 = 17.6 m²
Perimeter = 2(length + width) = 2(5.5 + 3.2) = 17.4 m
There is an increase in both the length and the width of the playground by 40% each. Hence:
New length = 1.4 * 5.5 = 7.7 m, new width = 1.4 * 3.2 = 4.48 m
Area = 7.7 * 4.48 = 34.5 m²
Perimeter = 2(length + width) = 2(7.7 + 4.48) = 24.36 m
Increase in area = 34.5 m² - 17.6 m² = 16.9 m²
The perimeter of the enlarged playground is 24.36 meters, and the increase in area is 16.9 m²
Find out more on area at: https://brainly.com/question/25292087
Find the perimeter of the semicircle. Let ≈ 3.14. r=17
Answer:
53.38
Step-by-step explanation:
First, find the circumference of the whole circle.
C=2pir
C=2(3.14)(17)
C=106.76
Then, divide by 2 because a semi-circle is half of a circle.
106.76/2 = 53.38
Therefore, the circumference, or the perimeter, of the semicircle is 53.38
Help help math math math
Answer:
Yes
Step-by-step explanation:
hope it helps you...
Answer:
Yes!
Step-by-step explanation:
The triangles are similar. Find the value of X.
Answer:
C. 18
Step-by-step explanation:
Triangle RST is dilation of 1.33333333 of triangle ACB, and side CA corresponds to angle SR.
24/1.33333333 = 18
Hope this helps :)
2 1/6 divided by 21/2
Answer:
Change the mixed numbers into an improper fraction:
[tex]2\frac16 \div 2\frac12=\dfrac{2 \times 6+1}{6}\div \dfrac{2 \times 2+1}{2}=\dfrac{13}{6}\div \dfrac{5}{2}[/tex]
Dividing two fractions is the same as multiplying the first fraction by the reciprocal of the second fraction. (Reciprocal is when you swap the numerator and denominator). Therefore,
[tex]\dfrac{13}{6}\div \dfrac{5}{2}=\dfrac{13}{6}\times\dfrac{2}{5}[/tex]
Now we simply multiply the numerators and the denominators:
[tex]\dfrac{13}{6}\times\dfrac{2}{5}=\dfrac{13 \times 2}{6\times 5}=\dfrac{26}{30}[/tex]
We can now reduce the fraction to its simplest form by dividing the numerator and denominator by 2:
[tex]\dfrac{26}{30}=\dfrac{26\div 2}{30 \div 2}=\dfrac{13}{15}[/tex]
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
I'll assume it is [tex]\frac{21}{6}[/tex]÷[tex]\frac{21}{2}[/tex]
Not so sure if it is that or in mixed form
The division sign will become multiplication sign when two becomes the numerator and 21 becomes the denominator
[tex]\frac{21}{6}[/tex]×[tex]\frac{2}{21}[/tex]
21 will cancel out leaving [tex]\frac{2}{6}[/tex]
=[tex]\frac{1}{3}[/tex]
I need help I will appreciate the answer.
Solve the system of equations below using substitution. y = 2x + 3y = 23
answer
options-
x+y=3, 2x-8y=19, 2x+y=-2, x+2y=2 hope that helps
Step-by-step explanation:
Most dogs fail to become service dogs. In a recent training class, only 4 of 15 were certified as service dogs. What percent of dogs, rounded to the nearest whole number, became certified service dogs?
Answer:
27
Step-by-step explanation:
4/15×100 =80/3 =26.6
Rounded to the nearest whole number is 27
The cheerleaders at Lake High School launch T-shirts into the crowd every time the Lakers score a touchdown. The height of the T-shirt can be modeled by the function h(x)-16x^2+48x+6, where h(x) represents the height of the T-shirt after x seconds.
the anser is c because i dont know
You ran a 100m race in 10 seconds. How fast did you run?
options:
100 m/s
100 mph
10 mph
10 m/s
Answer:
The answer is 10 mph
Step-by-step explanation:
Divide 100 by 10
18) Solve for x.
A) 42
B) 50
C) 63
D) 75
The correct answer to your question is D
Sure hope this helps you
The triangles ΔDJY and ΔFJS are similar triangles. Then the value of x will be 75. Then the correct option is D.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
The angle ∠J is common for both triangles.
The triangles ΔDJY and ΔFJS are similar triangles, then we have
DJ/DF = YJ/YS
50/x = 42/63
x = 75
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Mamady is planning a trip. He will stay six nights at a hotel that charges $51.25 a night. What is a good estimate of the total amount he will pay for the hotel? 250, 300, 360, 50.
Answer:
Answer is 300
Step-by-step explanation:
because 51.25x6=307.5 and the closest estimate is 300.
NEED HELP ASAP!! Which expressions are equivalent to the one below? Check all that apply.
16x
Answer:
f,c,d is the one who are equivalent
I need your help please
Answer:
Answers A C C B A C C A
Step-by-step explanation:
y = 9x - 17
y = -5x + 11
Solve each system of equations by substitution
Answer:
[tex]y=1,\:x=2[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}y=9x-17\\ y=-5x+11\end{bmatrix}[/tex]
[tex]\mathrm{Substitute\:}y=-5x+11[/tex]
[tex]\begin{bmatrix}-5x+11=9x-17\end{bmatrix}[/tex]
[tex]x=2[/tex]
[tex]\mathrm{For\:}y=-5x+11[/tex]
[tex]\mathrm{Substitute\:}x=2[/tex]
[tex]y=-5\cdot \:2+11[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]y=1[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}[/tex]
[tex]y=1,\:x=2[/tex]
Linda bought 2 sets of 8 apples and each set costs $5.6 how much money does Linda need to pay to the cashier?(giving brainliest!)
Mark is 8 years older than half Jon's age. If Jon is 20, how old is Mark?
Answer:
18 years old
Step-by-step explanation:
20÷2=10
10+8=18 years old
Which method would be the best to solve the following system of equations? y=1/2x+6 -2x+4y=24
A. None of these methods will work.
B. Elimination
C. Substitution
D. Graphing
Answer:
C. Substitution
But gives you infinity solitions
Solving steps:
Step: Solvey=1/2
x+6for y:
y=1/2x+6
Step: Substitute
1/2
x+6foryin−2x+4y=24:
−2x+4y=24
−2x+4(1/2x+6)=24
24=24(Simplify both sides of the equation)
24+−24=24+−24(Add -24 to both sides)
0=0
HiSET) On a road map, the distance between two cities is 5.1 inches. If 1.8 inches on the map represents 40 miles of actual distance, which of the following expressions gives the best estimate of the actual distance in miles between these cities?
a) 5/2 x 40 b) 5/2 ÷ 40 c) 6/40 x 2 d) 5/1 x 40 e) 5/40 x 2
Answer:
5.1*40/1.8
your closest answer is 1 (5/2*40)
Hope it helps!!!!!brainliest pls!!!!!!!!Answer:
5/2*40
Step-by-step explanation:
that's my answer, so i hope this helps
Explain how the Multiplication Property of Equality can be used to solve the equation
x ÷ 6 = 7.
Step-by-step explanation:
Multiplication property of equality is when you multiply the same number on both sides of an equation, the equation will still hold true.
In order to have x by itself, you need to multiply by 6. The property states that you can multiply 6 on both sides and the equation will still hold true.
Help please(geometry math)
Answer:
No solution
Step-by-step explanation:
By bisector theorem: the relative lengths of the two segments that a triangle's side is divided into by a line that bisects the opposite angle. It equates their relative lengths to the relative lengths of the other two sides of the triangle
y/8 = 8/2
y = 32 .... sum of the length of 2 sides of triangle must be larger than the 3rd side, 8+2+8 = 18 < 32
y can only has a value < 18
If we use Law of Sines also get y = 32 ... not forming a triangle
3 times the sum of a number and 5 is 6
Answer:
the number is -3
Step-by-step explanation:
3(x + 5) = 6
let x be the number anyways thooo
we distribute 3
3x + 15 = 6
then solve
3x = 6 - 15
3x = -9
x = -3
if you take Yola's age and subtract Zed's age you get 23. If you double Zeds age and then add Yolas age you get 80. Find both ages
Answer:
Yola is 42, Zed is 19
Step-by-step explanation:
I used a system of equations:
y - z = 23
2z + y = 80
Then I graphed them.
A soccer field is 80 yds wide and 130 yds long. Find the length of the diagonal of such a field. Give an exact answer as a radical expression and an approximation to three decimal places.
[tex] \bf \underline{Given :-}[/tex]
Width of soccer field = 80 ydsLength of soccer feild = 130 yds[tex] \\ \\ [/tex]
[tex] \bf \underline{ To \: find:-}[/tex]
Length of diagonal[tex] \\ \\ [/tex]
[tex] \bf \underline{Solution:-}[/tex]
Strongly recommend to keep up with Digram , as name of sides are based according to Digram.
As we know soccer feild is rectangle , therefore ∠A = ∠B = ∠C = ∠D = 90°
Now as we have to just find value of diagonal AD therefore just focus on triangle ACD.
we know ∠C = 90° , triangle ACD. is a right angled triangle.
[tex] \\ \\ [/tex]
[tex] \bigstar \boxed{ \rm Hypotenuse^2 = Base^2 + Perpendicular^2}[/tex]
Here :-
Hypotenuse = AD
Base = CD
Perpendicular = AC
[tex] \\ [/tex]
Therefore :-
[tex] \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =CD^2 + AC^2 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =(130)^2 + (80)^2 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =130 \times 130 + (80)^2 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =16900+ (80)^2 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =16900+80 \times 80 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =16900+6400\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD^2 =23300\\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf AD= \sqrt{23300} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\bf AD =152.643 \: yds\\ [/tex]
[tex] \\ \\ [/tex]
1/2 + p = -3
PLEASE HELP I DONT UNDERSTAND HOW TO DO THIS
Answer:
p=3.5
Step-by-step explanation:
So minus 1/2 on both sides. p= 3.5
A turtle and a snail start moving towards each other when they are 200 feet apart. The turtle is running at a speed of T feet per minute, and the snail is moving at a speed of S feet per minute. How fast are they approaching each other?
Answer:
200/T+S min
Step-by-Step Explanation:
Given:
Distance between turtle and snail=200 feetSpeed of turtle=T ft/minSpeed of Snail=S ft/minTo find:
Let time=tAfter t min they will meet to each other.We know that | Distance = Speed * Time |
Using the formula,Distance covered by turtle in time t=Tt ftDistance covered by snail in time t=St ftAccording to question,Tt + St = 200t (T + S) = 200t = 200/T+S minTime taken by them in approaching to each other = 200/T+S min
Please help me with this too. Thankyouu!!!
Answer:
Q 4. 69
Step-by-step explanation:
Q 4:-
(37)^2 - 1300 1369 - 130069Simplifying Algebraic Expressions
7(-8w^2+5w-7)
-(-2t^2+9t+1)
3/5(1/3x+1/4)
The expanded form of the expressions are -56w^2 + 25w - 49, 2t^2-9t-1 and x/5 + 3/20
Simplifying algebraic expressionsGiven the following expressions as shown
7(-8w^2+5w-7)
Expanded the expression to have:
7(-8w^2) + 7(5w) -7(7)
-56w^2 + 25w - 49
For the expression -(-2t^2+9t+1), multiply the expression through bu the minus sign to have 2t^2-9t-1
For the expression 3/5(1/3x+1/algebras)
Expand the expression to have:
3/5(1/3x) + 3/5(1/4)
x/5 + 3/20
Hence the expanded form of the expressions are -56w^2 + 25w - 49, 2t^2-9t-1 and x/5 + 3/20
Learn more on algebraic expressions here: https://brainly.com/question/2164351
suppose a charity received a donation of $12.8 million, if this represents 33% of the charitys donated funds, what is the total amount of its funds
Answer:
Step-by-step explanation:
Restate the problem:
" 29% of x is $28.9 million"
(29/100)x = $28.9 million
[in word (story) problems "of" usually means multiply]
29% may be written as (29/100) or 0.29 as needed by the problem.
x = (100/29)($28.9 million)
x ≅ $99.655 million
x ≅ $100 million [rounded
select the correct word form for 87,055
Answer: Eighty-seven thousand-fifty five
Step-by-step explanation:
Answer:
eighty seven thousand fifty five=87,055
What is the surface area of the net?
Answer:
150.66
Step-by-step explanation:
Justin is evaluating the expression 12.5 + 3.8 x, when x is 7.9.
12.5 + 3.8 (7.9). 16.3 (7.9). 128.77.
What was Justin’s error?
Justin should have multiplied 12.5 and 7.9 first.
Justin should have added 12.5 and 7.9 first.
Justin should have multiplied 3.8 and 7.9 first.
Justin should have added 3.8 and 7.9 first.
Answer:
Justin should have multiplied 3.8 and 7.9 first
Step-by-step explanation:
Multiply before adding
12.5 +3.8(x)x
12.5+3.8x7.9
Answer:Justin should have multiplied 3.8 and 7.9 first
Step-by-step explanation: