Answer:
The dimension is: 232ft by 85ft
Step-by-step explanation:
Given
Shape: Rectangle
[tex]A = 19720[/tex] --- Area
[tex]P = 634[/tex] --- Perimeter
Required
Determine the dimension
Area is calculated as:
[tex]A = L * W[/tex]
This gives
[tex]19720 = L * W[/tex]
Perimeter is calculated as:
[tex]P = 2(L + W)[/tex]
This gives
[tex]634 = 2(L + W)[/tex]
Divide both sides by 2
[tex]317 = L + W[/tex]
Make L the subject
[tex]L = 317 -W[/tex]
Substitute 317 - W for L in [tex]19720 = L * W[/tex]
[tex]19720 = (317 - W)*W[/tex]
Open brackets
[tex]19720 = 317W - W^2[/tex]
Rewrite as:
[tex]W^2 - 317W + 19720 = 0[/tex]
Expand
[tex]W^2 -232W - 85W + 19720 = 0[/tex]
Factorize:
[tex]W(W -232) - 85(W - 232)= 0[/tex]
[tex](W - 85) (W - 232)= 0[/tex]
Split
[tex]W = 85\ or\ W = 232[/tex]
Recall that:
[tex]L = 317 -W[/tex]
[tex]L= 317 - 85\ or\ L = 317 - 232[/tex]
[tex]L= 232\ or\ L = 85[/tex]
Hence, the dimension is: 232ft by 85ft
The dimension of the rectangular rink is 85ft by 232ft
Perimeter and Areas of triangleGiven the following parameters
Area = 19,720 square feet.Perimeter = 634 feetThe formula for finding the area is:
A = lw
lw = 19,720
l = 19,720/w
If the perimeter is 634 feet
2(l+w) = 634
2(19,720/w + w) = 634
39,440/w + 2w = 634
39,440 + 2w^2 = 634w
2w^2 - 634w + 39,440 = 0
On factorizing, w=85 or w=232
Since l = 19,720/w
l = 19,720/232
l = 85
Hence the dimension of the rectangular rink is 85ft by 232ft
Learn more on area of triangle here: https://brainly.com/question/17335144
Shirley bought 20.8 pounds of birdseed at a bargain store she wants to fill her feet or 100 times with anequal amount How much seeds Should she put in the feeder each time
Answer: 0.208 pounds
Step-by-step explanation:
From the question, we are informed that Shirley bought 20.8 pounds of bird seed at a store and wants to fill her feeder 100 times with an equal amount.
Based on the above, the amount of seeds that she should put in the feeder each time will be the amount of seeds bought divided by the number of feeder to fill. This will be:
= 20.8 / 100
= 0.208 pounds
Fill in the blank with a number to make the expression a perfect square. x^(2)-8x + ?
Answer:
[tex] {x}^{2} - 8x + \boxed{16} \\ = {x}^{2} - 2 \times 4 \times x + {4}^{2} \\ = {(x - 4)}^{2} [/tex]
So, 16 should be added to the expression to make it a complete square.
Formula used : (a-b)²=a²-2ab+b²
Which line , or solid , is the best line of best fit ? What evidence can you provide to prove this is the best line of best fit ?
Answer:
JOSHUA
Step-by-step explanation:
J
PLEASE ANSWER THIS QUESTION RIGHT.A ball thrown in the air has a height of h (t)
- 16t2 + 50t + 3 feet after t seconds.
Part A: What is the average rate of change for h(t) between t= 0 and t = 2?
A.36 Seconds per second
seconds per second
B.-36 feet per second
C.-18 seconds per second
D.18 feet per second
2n + 15 = 30 what is the answer
Answer:n = 13
Step-by-step explanation:
Can someone help me Write an equation for this graph?
hey can someone help me with this pls
Answer:
1. D
2. C
3. B
4. A
look at the symbols and you will notice each of them will be easy to understand
The line under the symbol mean equal to so closed circle
Solve the problem
There were 36,000 people at a ball game in Los Angeles. The day's receipts were $304,000. How many people paid $14 for reserved seats and how many paid $6 for general
admission?
Answer:
paid $14 for reserved seats and
paid $6 for general admission
Answer:
11,000 paid $14 for reserved seats.
25,000 paid $6 for general admission.
Step-by-step explanation:
First, we need to establish the system of equations:
x= number of people that pay $14
y= number of people that pay $6
14*x + 6*y= $304,000
x + y= 36,000
Now, we isolate x in one equation and substitute it in the other one:
x= 36,000 - y
14*(36,000 - y) + 6y = 304,000
504,000 - 8y = 304,000
200,000 = 8y
25,000 = y
x= 36,000 - 25,000
x= 11,000
11,000 paid $14 for reserved seats.
25,000 paid $6 for general admission.
The value of 2 in 2,783 and in 7,283
⅛ ÷ 2
Please help! I need to remember this!
Answer:
1/16
Step-by-step explanation:
Answer:
[tex]\frac{1}{16}[/tex]
Step-by-step explanation:
For this type of problem, I do KCF (Keep, Change Flip)
⅛ ÷ 2
Keep the fraction (⅛)
Change the sign to a multiplication (×)
Flip the "2" to its reciprocal ([tex]\frac{1}{2}[/tex])
Now we have a new expression
[tex]\frac{1}{8}[/tex] × [tex]\frac{1}{2}[/tex]
Now we multiply from across
The numerator × Numerator
The denominator × denominator
1 × 1 = 1
8 × 2 = 16
Our answer will be....
[tex]\frac{1}{16}[/tex]
Hope this helped!
Have a supercalifragilisticexpialidocious day!
please help meeeeeeee
Answer:
Volume of the cylinder = 602.88 square centimeters
Step-by-step explanation:
Given that:
Radius of cylinder = 4 cm
Height of cylinder = 12 cm
Volume of a cylinder is given by the following formula;
Volume = πr²h
Putting π = 3.14, r = 4 and h = 12 in the formula
Volume = 3.14 * (4)² * 12
Volume = 3.14 * 16 * 12
Volume = 602.88 square centimeters
Hence,
Volume of the cylinder = 602.88 square centimeters
The number of red marbles in a jar is 3 times the number of blue marbles
There are 27 red marbles and b blue marbles. Write an equation to represent this situation. How many blue marbles are there?
Answer:
I think this is the answer
9 blue marbles
3x=27
The equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let b represents the number of blue marbles.
r represents number of red marbles in jar.
The number of red marbles in a jar is 3 times the number of blue marbles.
r=3b
There are 27 red marbles and b blue marbles.
27=3b
To find the number of blue marbles we have to solve the above equation.
Divide both sides by 3
27/3=3b/3
9=b
Hence, the equation which represents the given scenerio is 3b=27 and the number of blue marbles are 9.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
who misses juice WRLD
nd if u listened to him what was your favorite song by him
Answer:
Lucid dreams i relate too much to it
Step-by-step explanation:
juice wrld :( fly high
Can someone plz do
A
C
D
Answer:
a) I think its 2n+1
c) I think its 6n+3
d) I think its 7n-4
Each card in a set of cards has a different number from 1 to 12 written
on it. A student randomly chooses a card, records the number shown
on the card, and replaces the card. The table shows the results of the
student choosing a card 25 times.
Based on the data in the table, how
many of the next 125 cards the
student chooses could be expected
to have a number shown on the card
that is a multiple of 4?
Results
Answer: 35
Step-by-step explanation: i first divided 12 and 125 since there is 125 cards in total and 12 different cards which gives you 10 point something. There is 3 multiples of 4 so i multiplied 3x10 which gives you 30 and the closest answer is 35. You're welcome
Answer:
35
Step-by-step explanation:
got it right
What is the solution to the equation? a+5 2/3=9
Answer:
a = 3.333... (3 repeating) or 3 1/3
Step-by-step explanation:
Solve for a by simplifying both sides of the equation, then isolating the variable.
3. Elena can make 15 pizzas in 3 hours. If the number of pizzas is represented by p and time is represented by t, Write an equation that shows the total number of pizzas made in terms of time. [2 points]
Answer:
Your answer is 3x = 15
Step-by-step explanation:
3x = 15
Since 3 is being multiplied by x, we divide both sides by 3. 3x/3 cancels out, and you're left with x.
15/3 = 5
x = 5
This is my take using algebraic methods.
Find the area, in square units, of the shaded region without counting every square. (please help)
Solve this inequality for x. -46-8x>22
Answer:
x < -8.5
Step-by-step explanation:
[tex]-46-8x>22[/tex]
add 46 to both sides
[tex]-8x >68[/tex]
divide both sides by -8
[tex]x < -8.5[/tex]
After 18 months, how much more will a
$2,500 investment make at a 5.5% simple
interest rate than a 4% simple interest rate?
A. $48.95
B. $56.25
C. $64.50
D. $72.10
Answer:
how much more will a
$2,500 investment make at a 5.5% simple
interest rate than a 4% simple interest rate?
A. $48.95
B.
The width of a rectangle measures (5v-10w)centimeters, and its length measures (2v+3w)centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?
A) −14w+14v
B)−10+6w+14v
C)−14+14v
D)7v−7
Answer:the perimeter of the rectangle =A) (−14w+14v) centimeters
Step-by-step explanation:
Step 1
The perimeter of a Rectangle is given as 2 (l+ w)
If Length = 2v+3w centimeters.
and width =5v-10wcentimeters
Then Perimeter =2 (2v+3w + 5v-10w)
Perimeter=2(7v -7w)
Perimeter= 14v - 14w or can be written as -14w +14v
Need help with number 2 pls
1h----------------> 70x3=210 bacteria
2h-----------------> 210*3=630 bactaeria
let be y the number of bacteria at the t=0h
it is y=70 3^0
for t= 1h
y=70*3^1=210
for t=2h
y=70*3^2=630
so we can write y=70*3^x, where x is the number of hour
A Cub with 40members elects a finance committee having 3members. How many committees
are possible?
Answer:
9880
Step-by-step explanation:
[tex]C^3_{40}=\frac{40!}{3!(40-3)!} =\frac{40!}{3!*37!}=13*19*40=9880.[/tex]
Marcus has opened a savings account where the yearly interest rate is 10%. He deposits $1,000 to start the account. After t years, the amount of money in the account is modeled by the function An=1,0001+0.10t. Which functions below would be an approximate equivalent function?
Select all that apply.
A. An=1,000(1.10)t
B. An=1,000(1+0.008)^12t
C. An=1,000(1+0.46)^4t
D. An=1,000(1.008)^t/12
E. An=1,000(1.46)^t/4
Answer:
Option A and option B applies
Step-by-step explanation:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
Marcus has opened a savings account where the yearly interest rate is 10%. He deposits $1,000 to start the account.
This means, respectively, that: [tex]r = 0.1, P = 1000[/tex]. So
[tex]A(t) = 1000(1 + \frac{0.1}{n})^{nt}[/tex]
Option A:
[tex]n = 1[/tex]. So
[tex]A(t) = 1000(1 + \frac{0.1}{1})^{t}[/tex]
[tex]A(t) = 1000(1.1)^{t}[/tex]
So option A applies
Option B:
[tex]n = 12[/tex]. So
[tex]A(t) = 1000(1 + \frac{0.1}{12})^{12t}[/tex]
0.1/12 = 0.008. So
[tex]A(t) = 1000(1 + 0.008)^{12t}[/tex]
[tex]A(t) = 1000(1.008)^{12t}[/tex]
So option B also applies.
The other options will not apply.
Answer:
A and B
Step-by-step explanation:
Which value is equivalent to 8?
Answer:
I cant see the answers to help you.
Step-by-step explanation:
What is the value of the expression pls help
Answer:
D. 27
Explanation:
First you solve parentheses by solving the exponent 2^3 and adding 4, and you will get 12. Then you'll solve the exponent 3^2 which will give you 9. Then you will multiply 9 by 12 to get 108. Then you will solve the exponent 2^2 which will get you 4. Finally divide 108 by 4 which will give you 27. Hope this helps!
Literally have been at this for 20 minutes PLEASE HELP!!!!
Step-by-step explanation:
first: if we add 3x+7 and 4x+5, it will total a 180 degree angle. This will allow us to solve for x.
3x+7+4x+5=180
7x+12=180
7x=180-12
7x=168
x=24
now we can also see that angle 6 is the same as the angle 3x+7. and Since we know x=24, we can solve for those angles.
3(24)+7:
72+7=79
So :
<6 =79°
If you pay $1.49 a pound for chicken and 2/3 of the weight is bone. How much are you paying per pound of meat?
9514 1404 393
Answer:
$4.47 per pound
Step-by-step explanation:
Your cost is ...
$1.49/(1/3 lb) = $1.49×(3/1)/lb = $4.47/lb
Help pls confused with question
Answer:
Number 2: I believe an 85
Number 4: The answer is 20 days.
Step-by-step explanation:
The Colosseum in Rome has a total volume of 47 million cubic feet. When it was in use, it was 180 feet tall. Suppose a scale model of the Colosseum is 5 feet tall. What is the model’s volume?
Answer:
56 ft
Step-by-step explanation:
Answer: (x)^2 + (y)^2 = 90,000
Step-by-step explanation: we know that
The equation of the circle (the roof of the Colosseum) in standard form is equal to (x-h)^2 + (y-k)^2 =r^2
where
(h,k) is the center and r is the radius
we have
(h,k)=(0,0) ----> is the origin
----> the radius is half the diameter
substitute