The area of the pool is the amount of space it occupies
The expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and [tex]\mathbf{P = 4x +30}[/tex], respectively
Let the dimension of the pool be x and y, where x represents width and y represents length.
So, the relationship between the width and the length is given as:
[tex]\mathbf{y = 15 + x}[/tex]
The area of the pool would be:
[tex]\mathbf{A = xy}[/tex]
Substitute 15 + x for y
[tex]\mathbf{A = x(15 + x)}[/tex]
Open bracket
[tex]\mathbf{A = 15x + x^2}[/tex]
And the perimeter of the pool would be
[tex]\mathbf{P = 2(x + y)}[/tex]
Substitute 15 + x for y
[tex]\mathbf{P = 2(x +15 + x)}[/tex]
[tex]\mathbf{P = 2(2x +15)}[/tex]
Open brackets
[tex]\mathbf{P = 4x +30}[/tex]
Hence, the expression for the area and the perimeter are [tex]\mathbf{A = 15x + x^2}[/tex] and [tex]\mathbf{P = 4x +30}[/tex], respectively
Read more about areas and perimeters at:
https://brainly.com/question/11957651
Hey can anyone help me with these please and thank you !
Answer:
I would be able to help you but I cant see the work that well. hope you figure it out.
Step-by-step explanation:
*WILL GIVE BRAINLIEST FOR BEST ANSWER*
Subtract. Write your answer in scientific notation.
(5.6×106)–(1.1×106)
Answer:
447
Step-by-step explanation:
AYUDA!!!!!!! Pls help me answer
You don't mention what's the question
Which of the following is the graph of
Answer: C
Step-by-step explanation:
2x-32=12
means they spent how much
Answer:
22
Step-by-step explanation:
what is the height of h of the triangle?
Answer:
4.23 feet
Step-by-step explanation:
We need to use the inverse sine function to solve for h. Since sine = opposite / hypotenuse, we can set up the equation like this: sin(30) = h / 25.5. To solve for h, isolate the h by multiplying both sides: h = 25.5 * sin(30). So the height of the triangle is approximately 4.23 feet.
What is the solution to -5m = -40?
A. m = -8
B. m = 200
C. m = -200
D. m = 8
Central/Inscribed angles w work pls i beg last one
=======================================================
Explanation:
Let point A be the center of the circle.
The inscribed angle CED doubles to the central angle CAD due to the inscribed angle theorem.
angle CAD = 2*(angle CED)
angle CAD = 2*(7x+6)
angle CAD = 14x+12
Angle CAD is the same as minor arc CD. These are two different ways to describe the same thing more or less. This is because the central angle subtends or cuts off the minor arc CD.
-----------
The three arc pieces CE, ED and CD all combine to form a 360 degree circle.
(arc CE) + (arc ED) + (arc CD) = 360
(18x+1) + (13x+1) + (14x+12) = 360
(18x+13x+14x) + (1+1+12) = 360
45x+14 = 360
45x = 360-14
45x = 346
x = 346/45
This approximates to roughly x = 7.6889, but I have a feeling your teacher will want the fraction form.
Katie jogged a total distance of 8 and 1 over 2 miles during the months of January and February. If Katie only jogged 1 over 4 mile every day, which expression shows the number of days she went jogging? (1 point)
Group of answer choices
8 and 1 over 2 ÷ 1 over 4
8 and 1 over 2⋅ 1 over 4
8 and 1 over 2 + 1 over 4
8 and 1 over 2 − 1 over 4
Flag question: Question 4
Answer:
(a) 8 1/2 ÷ 1/4
Step-by-step explanation:
Katie's total mileage is the product of the miles per day (1/4) and the number of days (n).
miles = (1/4)n
If Katie jogged 8 1/2 miles, then we have ...
8 1/2 = (1/4)n
We find the value of n (the number of days) by dividing both sides of this equation by the coefficient of n:
(8 1/2) ÷ (1/4) = n
_____
Additional comment
If you consider the units, you know that the only possible operation is division. The number 8 1/2 has units of miles. The number 1/4 has units of miles per day.
[tex]\dfrac{\text{miles}}{\left(\dfrac{\text{miles}}{\text{day}}\right)}=\dfrac{\text{miles}\cdot\text{day}}{\text{miles}}=\text{days}[/tex]
If you multiply, the product units are miles²/day. You cannot add or subtract numbers with different units. (They are not "like terms".)
As here, "units analysis" often tells you what math operations are needed, and which ones make no sense whatever.
Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%.
Lori deposits $1,400 into a savings account that has a simple interest rate of 3.8%.
If no other transactions are made, who will have more money in their account after 10 years? How much more?
Answer:
12
Step-by-step explanation:
sarah hanged 12/9 Ornaments on the christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether
Answer:
12/9+3 4/3 = 5 2/3 or 17/3
Step-by-step explanation:
Answer:
its 16/12 all together but if you do simplify its 0.75 hope this helped (❁´◡`❁) LOL.
Step-by-step explanation:
Sarah hanged 12/9 Ornaments on the Christmas tree but tom only hanged 3 4/3 Ornaments. how many Ornaments did both hanged on the tree altogether
help pls I'll give briliantest and give I 10 points please I need helpppp
Answer:
P=-120
Step-by-step explanation:
This might be higher level than I am since I am still a student but p=-120i know that
The height of a door is 1.6 feet longer than its width, and its front area is 1489.3 square feet. Find the width and height of the door
Answer:
The width of the door to be 39.10 ft, and the height to be 40.7 feet.
Choose which diagram
which histogram helps best predict how much time until the next customer comes into the Clothes Shoppe.
14 yd 2 ft + 9 yd 2 ft
Answer:
24yd 1ft
Step-by-step explanation:
14+9 = 23
2+2 = 4
1yd = 3ft
4ft = 1yd 1ft
Answer:
14 yd 2 ft + 9 yd 2 ft = 73 feet
hope this helps
If f(x) = 3^{2+x}-3f(x)=3
2+x
−3, what is the value of f(-4)f(−4), to the nearest hundredth (if necessary)?
Eve is going to buy 70 pens from either shop A or shop B.
Shop A : pack of 10 pens for £ 2.30
Shop B : pack of 5 for £ 1.60 buy 1 pack and get 1 half price .
What is the difference in cost for all 70 pens between the two shops ?
Answer: 0.70
Step-by-step explanation: Shop A: 2.20*7=15.40
Shop B: 7 packs with full price and seven with half
So, 1.40*7=9.80 and 9.80/2=4.90 is price of other seven
Take sum 9.80+4.90=14.70
So the difference between the two shops is
15.40-14.70=0.70 hope i helped have a good afternoon
(HELP ASAP PLEAE!!)Expression A: 3x + 2
Expression B: 1 + 3x + 1
Which statement can be used to show that these expressions are equivalent?
A. 3x + 2 can be rewritten as 1 + 3x + 1 using the distributive
property
B. Both expressions involve addition.
C. Each expression includes the term 3x.
D. The expressions name the same number regardless of the value
of x.
Answer:
its c
Step-by-step explanation:
what is the radius and diameter of the following circle ? 5.1 cm ?
(8 points) will mark brainliest!! pls help:)
Answer:
7/10
Step-by-step explanation:
Have a nice day
Answer:
2.1
hope this helped
A farmer had 21 goats all but 9 died how many survive ?
Answer:
9
Step-by-step explanation:
All but 9
Answer:
12
Step-by-step explanation:
I used a calculator I hhhhhhj
please help me on my math , I need help :(
Answer:
ask sombody else
Step-by-step explanation:
guess we dont
Historically, 48% of people have rented their residence. A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. A researcher is studying the claim that the percentage of people renting has increased. Compute the value of the test statistic for this hypothesis test. Round your answer to 2 decimal places.
Answer:
1.79
Step-by-step explanation:
^p = x/n
= 260/500
= 0.52
z = p1-p2 / √^p(1-p)/n
= 0.52 - 0.48 / √0.48x(1-0.48)/500
= 1.79
I need to find out the answer for this problem...
Answer:
where is the problem to solve. please tell me
Q1). A={1,2,3} B={2,3,4}. Find (A∩B) xA
Step-by-step explanation:
Given sets are :
A = {1, 2, 3}
B = {2, 3, 4}
AnB = {1, 2, 3} n { 2,3,4 }
AnB = {2,3}
Now
(AnB) X A
⇛ { 2,3 } X { 1 , 2, 3 }
⇛ { (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }
(AnB) X A for the given problem is
{ (2,1) , (2,2) , (2,3) , (3,1) , (3,2) , (3,3) }
If 2x + y = 7, what is the value of y when x = 3? A. 1 B. 3 C. 5 D. 7 E. 9
Answer:
the correct answer is A.1
the result is explained below in the photo
Answer:
y = 1
Step-by-step explanation:
2x + y = 7
x = 3
plug in 3 for x
2(3) + y = 7
Multiply 2 * 3
6 + y = 7
Therefor y = 1
PLS ANSWER FAST!!
Write an equation of the line with a slope of 3 and a y-intercept of -7 .
Answer:
y = 3x - 7
Step-by-step explanation:
For an equation in the format y = ax + b, a is the slope and b is the y intercept.
-15(-4)
pls solve, this is page 237 in 7th grade math book, problem 2
Answer: 60
Step-by-step explanation:
The negatives cancel each other out and you are left with 15 times 4
If the value of a=2,y=3,find the value of x in ax/y=10
[tex]\dfrac{ax}y =10\\\\\implies \dfrac{2x}{3} = 10\\\\\implies 2x = 30\\\\\implies x = \dfrac{30}2 = 15[/tex]
Answer:
x = 15
Step-by-step explanation:
[Given] ax/y=10
[Rewrite] [tex]\frac{ax}{y} =10[/tex]
[Plug-in] [tex]\frac{(2)x}{(3)} =10[/tex]
[Simplify] [tex]\frac{2x}{3} =10[/tex]
[Multiply both sides by 3] 2x = 30
[Divide both sides by 2] x = 15
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather