Answer:
The pool that they buy is the circular pool which Marsha wants
The cost of the circular pool is $471.25
Step-by-step explanation:
The parameters of the swimming pools which each of Pete and Marsha wants to buy is given as follows;
The dimensions of the pool Pete wants = 18 feet wide, 20 feet long and 6 feet deep
The dimensions of the circle shaped pool Marsha wants = 20 feet across and 6 feet deep
The price of water, P = 25 cents per cubic foot
The pool they decide to buy = The pool that costs less to fill
The volume of water to fill the pool Pete wants, V₁ = 18 ft. × 20 ft. × 6 ft. = 2,160 ft.³
The cost of filling the pool Pete wants, C₁ = V₁ × P
∴ C₁ = 2,160 ft.³ × 25cents/ft.³ = 54,000 cents = 540 Dollars
The volume of water to fill the pool Marsha wants, V₂ = π·(20 ft.)²/4 × 6 ft. ≈ 1,884.96 ft.³
The cost of filling the pool Marsha wants, C₁ = V₁ × P
∴ C₁ ≈ 1,884.96 ft.³ × 25 cents/ft.³ ≈ 47,124 cents = 471.24 Dollars
The pool that they buy is the circular pool that Marsha wants and it costs $471.24 to fill
hi please help i’ll give brainliest please
Answer:
45
Step-by-step explanation:
The answer would be 45
Do not factor by grouping. Solve 2(x-2)^1/3=x+2
Step-by-step explanation:
2(x-2)⅓=x+2
so we first cube each side,such that...
(2(x-2))⅓•³=(x+2)³
we get...
2(x-2)=(x+2)³
expanding...
2x-4=x³+6x²+12x+8
grouping....
x³+6x²+12x+8-2x+4=0
solving...
x³+6x²+10x+12=0
now you can use you calculator to solve for the possible values of x
I hope this will help
what is the answer to x - 4 = -2
Answer: x=2
Step-by-step explanation: add 4 to both sides of the equation.
Calculate the area of these shapes. Answer correct to one decimal place:
Working out is needed
c) 25 X π / 2 ≈ 39.3, d) 16 X π / 4 ≈ 12.6, b) 100 X π / 4 X 3 ≈ 235.6
if the income tax rate is 4%, determine the amount of income tax paid on income of $20,000.
Answer: $800.
Step-by-step explanation:
To find the income tax of $20,000 simply multiply 20,000 by the decimal of 4%.
20,000 x 0.04 = 800
Write an explicit formula for the sequence 8, 6, 4, 2, 0, ... Then find a 14.
Oan=-2n + 10; -16
Oan=-2n + 8; -18
O an=-2n +8; -20
Oan=-2n + 10; -18
Answer:
the answer is -2n+10;-18
Question and answer options attached. Please help, thanks!
Answer:
there is no question but i think out of a,b,c and e i think b or c
Step-by-step explanation:
sorry
can you help me. What is 2x-14
Answer: 2(x-7)
Step-by-step explanation: 2x−14
2x−14
=2(x−7)
Answer:
-8
Step-by-step explanation:
so first start off by doing 2x(-14)
this will get us to our answer -8.
It's pretty easy, try using a calculator to help if needed.
☺️
Lucas is making 12 jumbo muffins to sell at his class bake sale . He has 2 bowls full of batter what fraction of a bowl of batter should Lucas put in each muffin cup ?
Answer:
1/6 of a bowl of batter
Step-by-step explanation:
Find out how much muffins is needed for 1 bowl.
2 bowls = 12 muffins
1 bowl = 12 ÷ 2 = 6 muffins
Since 1 bowl can fill 6 muffins, it's 1/6
first person to answer all of these questions gets brainliest, also upping points to 50
Answer:
#1
Ratio of 45-45 and 30-60-90 triangles
45-45
a : b : c = 1 : 1 : √230-60-90
a : b : c = 1 : √3 : 2a)
b = 10/2 = 5a = 5√3b)
k = l = 6√2/√2 = 6#2
Find x
7/x = cos 66°x = 7/ cos 66°x = 17.2Find y
y/x = sin 66°y = 17.2 sin 66°y = 15.7#3
a) sin A = 5/13
b) cos A = 12/13
c) tan A = 5/12
d) A = arcsin (5/13) = arccos (12/13) = arctan (5/12) = 22.6°
Triangle JKL has vertices J(-4, -1), K(0, 4), and L(-4, -2). Graph The triangle and it’s image after a dilation with a scale factor of 0.5.
Answer:
J(-2, -0.5), K(0, 2), L(-2, -1)
Step-by-step explanation:
Answer:
Step-by-step explanation:
so 1 equals one to q 1
You want to buy a new car. You can afford payments of $300 per month and can borrow the money at an interest rate of 5.2% compounded monthly for 5 years.
Answer:
$367.17
Step-by-step explanation:
we are find the cost of the car after 5 years
Using the compound interest formula;
A = P(1+r/n)^nt
Given
Principal P = $300
rate r = 5.2% = 0.052
Time t = 5years
Time of compounding n = 1/12 (monthly)
Substitute into the formula
A = 300(1+0.052(12))^5(1/12)
A = 300(1+0.624)^0.4167
A = 300(1.624)^0.4167
A = 300(1.2239)
A = 367.17
hence the amount of the car after 5years is $367.17
What is a reason to include the image of a setting sun in this advertisement? a to provide more color to the advertisement b to make the sale more appealing to shoppers c to add something interesting to the ad d to reinforce the idea that the season is ending
Answer:
The reason is to allow others to explore and have an image to reference to.
Step-by-step explanation:
Answer:
B, to make the ad more appealing
a girl 2.2m tall observes that the angle of elevation of the top of a building 16m away from her is 45° find the height of the building
Answer:
18.2 m = height of the building
Step-by-step explanation:
Let x = the distance from the top of the girl's head to the top of the building
tan 45 = x/16
x = 16 tan 45
x = 16 m
16 + 2.2 = 18.2 m = height of the building
Find the perimeter of the rectangle below.
5x2 - 6
2x2
i need your guys help i don’t know nun abt this at all
Answer:
1) 2² + 5² = ?²
2) 6² + ?² = 9²
3) 8² + 16² = ?²
4) 8² + ?² = 10²
Step-by-step explanation:
Because these are all right triangles, we can use the Pythagorean Theorem:
a² + b² = c²
Where c is the hypotenuse, the longest side of the triangle. It can be identified as being across from the right angle of the right triangle.
The legs are the two other sides of the triangle and they are interchangeable when placed in the Pythagorean Theorem.
Pls help ASAP
Simplify [tex]\sqrt{.64x^2}[/tex] if [tex]x\leq 0[/tex]
The answer is not (4/5)x
Graph the equation y + 4 = .
Answer:
just go to Desmos graphing calculators
Step-by-step explanation:
and that all
Translate this phrase into an algebraic expression. Eight more than the product of 8 and a number Use the variable n to represent the unknown number.
Answer:
8n + 8
Step-by-step explanation:
We already know that n is the unknown number. Product means multiplying, so you multiply 8 by the unknown number. More than means adding, so you add 8 to the product of 8n.
help ASAP ill mark brainliest. The answers are the 4 other images attached
Answer:
Step-by-step explanation:
The can find this my matching each number of the chart with each diagram
It can't be the first one because the 17-19 isn't on 8, it is on 4
It can't be the second one because the 20-22 isn't on 7, it is on 9
It is the third one because all the number on the chart is matching with the numbers on the diagram
It can't be the fourth one because the 17-19 isn't on 8, it is on 4
When solving for x in a one-variable equation, there can be one solution, no solution, or infinitely many solutions. In complete sentences, explain whether this statement is true or false, and why.
What is the experimental probability that a coin toss results in two heads showing?
Answer:
you have a 0.25 chance
Step-by-step explanation:
Each coin has a 0.5 so to get two on heads is 0.25 sorry I don't have time for a detailed reason
HELPOOPPPPPPPPPSBSBBSHSHABDBNSKA
Answer:
Step-by-step explanation:
5/9 if a number is 65 find the number
Answer:
117
Step-by-step explanation:
Required number
[tex] = 65 \times \frac{9}{5} \\ \\ = 13 \times 9 \\ \\ = 117[/tex]
Can 3 over 11/2 and 6 over 11 be a proportion?? Please explain!!! ASAP
Answer:
Yes! these are in the same proportion
Step-by-step explanation:
Lhs = 3 over 11/2 = 3/(11/2)
=>3× (2/11)
=> 6/11
=> Rhs
write the inequality in words 1/3n-10>22
Answer:
10 is subtracted from a third of a number is greater than 22
Step-by-step explanation:
1/3n-10>22
you subtract 10 from 1/3n
1/3 - 10 is greater than 22
so:
10 is subtracted from a third of a number is greater than 22
Perform the operation (x^2+8x+8)+(-10x^2+5x)
Answer:
Step-by-step explanation:
(x^2+8x+8)+(-10x^2+5x) = (x^2-10x^2) + (8x+5x) + 8
= -x^2 +13x + 8
Answer:
-9x^+13x+8
Step-by-step explanation:
Mar 12, 9:04:40 PM
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x=sqrt(5/2)
Step-by-step explanation:
How many sides does the thirtieth figure have?
Answer:
8.
Step-by-step explanation:
multiples of 3 for every shape.
will mark brainliest and mark 5/5
9514 1404 393
Answer:
AY = 4.8YD = 2.4Step-by-step explanation:
Corresponding sides of the triangles are ...
ΔFUN . . . ΔDAY
UF = 10 . . . AD = 6
FN = 4 . . . DY
NU = 8 . . . YA
Corresponding sides are proportional, so we have ...
DY/4 = AD/UF = 6/10
DY = 4(0.6) = 2.4
and
YA/8 = 6/10
YA = 8(0.6) = 4.8
The side lengths are ...
AY = 4.8, YD = 2.4
Answer:
.
Step-by-step explanation: