Answer:
I think! 3.5 feet wide
Step-by-step explanation:
the area of the pool is 240 square feet. divide by 68 square feet gives you 3.539= 3.5 feet wide. dont shoot me if I'm wrong lol
The width of the deck is approximately 2.65 feet.
To solve the problem, we need to first find the total area of the pool and deck combined, and then subtract the area of the pool to find the area of the deck.
The total area of the pool and deck can be represented as follows:
(12 + 2x) x (20 + 2x)
where x is the width of the deck.
The area of the pool is:
12 x 20 = 240
So, the area of the deck can be found by subtracting the area of the pool from the total area:
(12 + 2x) x (20 + 2x) - 240 = 68
Expanding the left side and simplifying, we get:
4x²+ 64x - 208 = 0
Dividing both sides by 4, we get:
x²+ 16x - 52 = 0
Using the quadratic formula, we get:
x = (-b ± √(b² - 4ac)) / 2a
Where a = 1, b = 16, and c = -52.
Plugging in these values, we get:
x = (-16 ± √(16² - 4(1)(-52))) / 2(1)
x = (-16 ± √(960)) / 2
x = (-16 ± 4√(15)) / 2
x = -8 ± 2√(15)
Since the width of the deck cannot be negative, we can discard the negative solution, and we are left with:
x = -8 + 2√(15)
So, the width of the deck is approximately 2.65 feet.
To know more about an area follow
https://brainly.com/question/29119126
#SPJ3
The population of a city is 100,000 and the annual growth rate is of 4.2%. Write an equation to model the population y after x years.
Answer:
y= 100,000*(1.042^x)
Step-by-step explanation:
Giving the following information:
Present Value= 100,000 people
Growth rate (g)= 4.2% per year
To calculate the future value (y) of the in any given year (x), we need to use the following formula:
y= PV*(1 + g)^x
y= 100,000*(1.042^x)
For example, for 5 years:
y= 100,000*1.042^5
y= 122,839.66 = 122,839
Please please help please
Yikes i dont know this but thanks for the coins C:
pls help will mark brainlest
Answer:
(5,7) , (2, -3) , (2,4)
Step-by-step explanation:
your first number, the x, is the horizontal number. The second, y, is the vertical number. So if you look at A, the x is 5, and you then have to go up to 7 to reach the intercept
Hey I'm Chloe Can you Help Me, I will give Brainlest, Thank you :)
During a professional baseball game, every spectator placed his or her ticket stub into one of several containers. After the game, the coach chose twenty people to march in the victory parade. What is the sample in this situation?
Answer:
The sample is the amount of people because not everyone is getting chosen
Step-by-step explanation:
I also agree, the coach choose certain people to march cuz not everyone is gonna be able to get used.
Which is closest to the height of a pine tree?
1. 9 inches
2. 9 Yards
3. 9 Miles
Answer:
2/b
Step-by-step explanation:
9 yards
Aubrey has a new art box in the shape of a rectangular prism. The box is 12\text{ cm}12 cm12, start text, space, c, m, end text by 20\text{ cm}20 cm20, start text, space, c, m, end text by 5\text{ cm}5 cm5, start text, space, c, m, end text. The only thing in the art box is a new pink eraser with the dimensions shown below.
Answer:
1196 cm3
Step-by-step explanation:
Answer:
1196
Step-by-step explanation:
James joins Club One which charges a monthly membershi[ of $ 19.99. How much will James spend in all, if he continues his membership for 6 months?
Answer:
James will spend $119.94
Step-by-step explanation:
Multiply $19.99 by 6.
$19.99 x 6 = $119.94
Need actual help (please hurry)
Solve for z. -2 (52 - 4) +62 = -4
Answer:
if you learned, PEMDAS then it be easier! soo I'll help.
Step-by-step explanation:
-2 ( 52- 4 ) is 48. 48 + 62= 110
if that's wrong, then I'm sorry!
1
62
48
——
110
I need alittle help with this,
9x-5y+3x+2y-4y-y
Answer:
12x - 8y
Step-by-step explanation:
9x - 5y + 3x + 2y - 4y - y
9x + 3x - 5y + 2y - 4y - y
12x - 8y
Answer:
12x - 8y would be the simplified version of this equation if this is not the type of answer your looking for please lmk
Step-by-step explanation:
4x + 14 = 4x + 24 its to hard for me
Answer:
x=10
Step-by-step explanation:
Andy has $ 200 to buy a new TV . One- forth of that money came from his grandmother and he saved the rest . How much money did Andy save?
Answer:
$150
Step-by-step explanation:
200/4=50
200-50=150
The measures of the angles of a triangle are in the extended ratio 7:14:15.
Find the measures of the angles of the triangle.
Please i need help
Can you post a picture?
It would make it so much easier.
simplify this number 27:81
Answer:
I believe the simplified form of this ratio is 1:3
*The common factor to both numbers is 27.
27÷27=1 and 81÷27=3
So, that's where the 1:3 came from
Question 7: The red line has an equation of y = -1/2 x + 2. The blue line is perpendicular to the red line. Write the equation for the blue line. EXPLAIN PLS
Answer:y=2+2x
Step-by-step explanation:
Perpendicular means the slope is the opposite reciprocal of the red line’s. Opposite reciprocal means that if the red line has a negative slope the blue line will have a positive one, and you flip the fraction of the red line from 1/2 to 2. The y intercept is at 2 so that’s why there is a +2
Laney bought a cup of coffee and two cookies at her
local coffee shop. The coffee cost $1.89. She got
$1.23 back as change from the $5.00 bill she gave the
cashier. How much did each cookie cost?
Page
Answer:
each cookie was $0.94
Step-by-step explanation:
5.00 - 1.89 = 3.11
3.11 - 1.23 = 1.88
1.88 divided by 2 = 0.94
1. Identify the Parent function related to the given function. Choose the correct answer from the choices below:
f(x)=1/2x-9 4/5
Linear Function
Not a Function
Absolute Value Function
Quadratic Function
Evaluate each expression using the values m = 7, r = 8, and t = 2.
1. 5m – 6
2. 4m + t
3. r/t
4. mt
5. 5t + 2m
6. rm
7. 3m – 5t
8. mr/t
PEEEEASSSSEEEE HELP!!!! :(
So I'll walk through the first 2. Then please try the other ones and let me know if you run into more problems.
5m-6
If m is equal to 7, then replace m with 7.
5(7)-6
5x7=35 so the expression is now 35-6. Solve.
35-6=29
So that was the first one.
4m+t
We just do what we do with the first problem.
4(7)+(2)
4x7=28 so the expression is 28+2.
28+2=28
---
hope it helps
p.s. When there is subtraction, add. When there is division, multiply to cancel that out. When there is multiplication, divide to cancel. etc.
Answer:
1,5(7)-6=29
2,4(7)+2=30
3,8/2=4
4,7*2=14
5,5(2)+2(7)=24
6,8*7=56
7,3(7)-5(2)=11
8,7*8/2=28
Two power providers are marketing their electricity plans to residential customers. Everyday Electric Company offers a plan with a base cost of $50 per month plus $0.075 per kilo-watt-hour (kwh) used. Consumer Power Limited offers a plan with a base cost of $30 per month plus $0.125 per kilo-watt-hour (kwh) used. Which graph correctly compares the cost of these competing electricity plans?`
Answer:
D
Step-by-step explanation:
5) (3a + 1) - (4 + 2a)
Answer:
5a - 3
Step-by-step explanation:
3a + 2a = 5a
1 - 4 = -3
5a + (-3) or 5a - 3
The 4th term of an arithmetic sequence is 24 and the 12th term is 56, what is the first term?
Answer:
First term = 12
Step-by-step explanation:
A4 = 24
A12 = 56
An = A1 + (n-1)d; this defines the formula of an arithmetic series
A4 = 24 = A1 + (4-1)d
A4 = 24 = A1 + 3d
A12 = 56 = A1 + (12-1)d
A12 = 56 = A1 + 11d
Subtract A4 from A12 to get d (distance)
(56 = A1 + 11d) - (24 = A1 +3d)
32 = 8d
d = 4
Substitute d = 4 into A4
A4 = 24 = A1 + 3(d)
24 = A1 + 3(4)
24 = A1 + 12
24 - 12 = A1
12 = A1
Priya has planted a garden shaped like a right triangle. One leg of the triangle is 5 meters long, and the angle formed by it and the hypotenuse is 50°. If Priya wants to build a fence around her garden, how many meters of fence will she need? Round your answer to the nearest meter.
Answer:
19
Step-by-step explanation:
:)
The amount of fence that Priya would need (in meters) is 19 meters approximately.
What are the six trigonometric ratios?Trigonometric ratios for a right angled triangle are from the perspective of a particular non-right angle.
In a right angled triangle, two such angles are there which are not right angled(not of 90 degrees).
The slant side is called hypotenuse.
From the considered angle, the side opposite to it is called perpendicular, and the remaining side will be called base.
From that angle (suppose its measure is θ),
[tex]\sin(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of Hypotenuse}}\\\cos(\theta) = \dfrac{\text{Length of Base }}{\text{Length of Hypotenuse}}\\\\\tan(\theta) = \dfrac{\text{Length of perpendicular}}{\text{Length of base}}\\\\\cot(\theta) = \dfrac{\text{Length of base}}{\text{Length of perpendicular}}\\\\\sec(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of base}}\\\\\csc(\theta) = \dfrac{\text{Length of Hypotenuse}}{\text{Length of perpendicular}}\\[/tex]
For this case, we've to find the length of the fencing she needs to cover her garden.
Length of fencing needed = Perimeter of the considered right triangle = sum of its sides' lengths
Using the image attached below, from the perspective of angle A which is of 50 degrees from inside, we get:
|AB| = base length = 5 meters (given)|BC| = perpendicular length = p meters (say)|AC| = hypotenuse length = h meters (say)Using tangent ratio,[tex]\tan(m\angle A) = \tan(50^\circ) = \dfrac{p}{5}\\\\p = 5 \tan(50^\circ) \approx 5.96 \: \rm m[/tex]
Using sin ratio,[tex]\sin(m\angle A) = \sin(50^\circ) = \dfrac{p}{h}\\\\h = \dfrac{p}{\sin(50^\circ)} \approx \dfrac{5.96}{\sin(50^\circ)} \approx 7.78 \: \rm m[/tex]
Thus, perimeter of the triangle = 5 + p + h ≈ 18.74 m ≈ 19 m
Thus, the amount of fence that Priya would need (in meters) is 19 meters approximately.
Learn more about trigonometric ratios here:
https://brainly.com/question/22599614
Let x be an even integer. What is the product of the next two consecutive even integers?
O x^2+2x+4
O x^2+6x+8
O x(x+1)(x+2)
O x^2+3x+2
Answer:
The desired product is (x + 2)(x + 4).
Step-by-step explanation:
If x is an even integer, x + 2 is the next consecutive even integer and x + 4 the next.
The desired product is (x + 2)(x + 4).
Two counters are selected at random from a bag containing 5 red counters and 3 blue counters.
Find the expected number of red counters selected.
Answer:
1.4
Step-by-step explanation:
Probability of selecting a red counter :
Number of red counter / total number of counters
5 / (5 + 3) = 5 /8 = 0.625
Probability of selecting a blue counter = 0.375
Let number of red counters :
0, 1 or 2
0 red counters :
Expected value = x * p(x)
0 + (0.625*1) + (0.390625 * 2)
0 + 0.625 + 0.78125 = 1.40625
Expected number of red counters = 1.4
A horse runs three races. The first is 2 miles, the second is 1,300 yards, and the last is 850 yards. How many yards does the horse run in all
Answer:
5670 yards
Step-by-step explanation:
Length of first race = 2 miles
Since, 1 mile = 1760 yards
Therefore, 2 miles = 1760 × 2
= 3520 yards
Length of second race = 1300 yards
Length of third race = 850 yards
Total distance to be run by the horse = 3520 + 1300 + 850
= 5670 yards
From the equation, find the axis of symmetry of the parabola.
y = 2x^2 + 4 x - 1
a. x = 3
b. x = -1
c. x = -3
d. x = 1
PLEASE HURRY!!! WILL MARK AS BRAINLIEST!!!
Answer:
C
Step-by-step explanation:
Ur welcome
What is the domain and range of this graph?
(Pls don’t answer if you don’t know I rly need help<3 )
Answer:
Domain is all real numbers. Range is [36- negative infinity]
The most efficient first step in the process to factor the trinomial 3x³-24x² + 36x is :
O A. factor out 3
O B. factor out 3x
O C. factor out (x - 2)
O D. factor out-1
Answer:
B
Step-by-step explanation:
Write down an expression for the perimeter of a rectangle. With length-L and width-W given your answer.
Answer:
[tex]2l + 2w[/tex]
Step-by-step explanation:
We know that a rectangle has four sides. And each pair of opposite sides are equal. We can set the length to [tex]l[/tex] and the width to [tex]w[/tex]. Since we know that both variables have a side that is equal to it, we know that the sum of the sides is[tex]l+l+w+w = 2l + 2w[/tex].
please answer this for me?
Answer:
n/a
Step-by-step explanation:
how does it feel