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The length of a rectangle is 1 ft more than twice the width, and the area of the rectangle is 45 ft^2. Find the dimensions of the rectangle.
Answers
Answer:
[tex]\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 10~ \text{ft}[/tex]
Step by step explanation:
[tex]\text{Width} =x\\\\\text{Length}=2x+1\\\\~~~~~~~\text{Area} = 45~\text{ft}^2\\\\\implies x(2x+1) =45\\ \\\implies 2x^2+x = 45\\\\\implies 2x^2 +x-45=0\\\\\implies 2x^2+10x -9x -45 =0\\\\\implies 2x(x+5) -9(x+5)=0\\\\\implies (2x-9)(x+5) =0\\\\\implies x=\dfrac 92, ~~ x\neq -5\\\\\text{Hence,}\\\\\text{Width} = \dfrac 92 ~ \text{ft}\\\\\text{Length} = 2\cdot \dfrac 92 +1 = 10~ \text{ft}[/tex]
Answer:
Length 10 ft.
Width 4.5 ft.
Step-by-step explanation:
If the width is x ft then the length is 2x + 1 ft.
Area = width * length, so:
45 = x(2x + 1)
45 = 2x^2 + x
2x^2 + x - 45 = 0
2x^2 + 10x - 9x - 45 = 0
2x(x + 5) - 9(x + 5) = 0
(2x - 9)(x + 5) = 0
x = 4.5, -5.
So x = 4.5 ( as the width cannot be negative).
Therefore the dimenions of the rectangle are
width = 4.5 ft, length = 2(4.5) + 1 = 10 ft.
Related Questions
a
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$250 and $300.
Answer using the 68 - 95 - 99.7 rule.
[ ? ]%
Answers
Answer:
2 Answers By Expert Tutors
Since 400 is the mean and the standard deviation is 50, $400-$450 is +1 standard deviation. One standard deviation is 34.1% probability that the worker's wages would fall in this range.
I NEED HELP ASAP!!!!!!!!!!!
Answers
Answer: Below
Step-by-step explanation:
Let's start with 12. Going off of basic quadrilateral rules, adjacent angles will be equal to 180. So we make the equation:
8x - 12 + 3x + 5 = 180
Simply.
11x - 7 = 180
11x = 187
x = 17
Since R = P, R = 3(17) + 5 = 56
Now with 14.
We know ABC is both 115 and 4x+6, so:
115 = 4x + 6
109 = 4x
x = 27.25
ADB is 6x - 11, so 6(27.5) - 11 = 152.5
12) 56
14) 152.5
The circumference of circles
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the circumference of given circle ~
Circumference :
[tex]\qquad \tt \dashrightarrow \: \pi{d}^{}[/tex]
where, d = diameter
Now, let's calculate it ~
[tex]\qquad \tt \dashrightarrow \: c = 4×\pi{}^{}[/tex]
[tex]\qquad \tt \dashrightarrow \: c = 4\pi\: \: in[/tex]
That's the answer I terms of π, but we can also plug in the approximate value of pi as 3.14
[tex]\qquad \tt \dashrightarrow \: c = 4 \times 3.14{}^{} \\\qquad \tt \dashrightarrow \: c = 12.56\: \: in\\\qquad\tt \dashrightarrow \: c \approx 12.6\: \: in[/tex]
GIVING BRAINLIEST!
2pi8^2 + 2pi8*8=?
the answer should be 150, show the steps
Answers
Answer:
256π
Step-by-step explanation:
2π(8²) + 2π(8)(8) <== exponents first
2π(64) + 2π(64) <== multiply
128π + 128π <== add
256π <== final answer
Note: 8 * 8 can also be written as 8²
Hope this helps!
Answer:
256π
Step-by-step explanation:
4π(8²) = 4π(64)= 804.2477193
804.2477193/π = 256π
please help me please pleasr please
Answers
Answer:
which one's anwer you want
2. length= 65 ft width=24 m area=135 in2
If x²+ y²= 80 and xy = 12, find the value of (x - y)².
Answers
[tex](x-y)^2\\\\=x^2+y^2 -2xy\\\\=80-2(12)\\\\=80-24\\\\=56[/tex]
We know the identity (a−b)2 =a2 −2ab+b2
Thus we have (x−y)2 =x2 −2xy+y2
Mandy paints four square walls that are ten feet on each side. Which expression represents the total square footage that Mandy painted?
4 × 102
42 × 10
4 × 10 × 2
102 + 4
Answers
Answer:
C. 4 × 10 × 2
Step-by-step explanation:
There are four walls that are ten feet on each side.
You would take 4 (number of walls) × 10 (number of feet in length), and because there are 2 sides of the walls, you would take that × 2.
Therefore, your answer is 4 × 10 ×2
Help picture below problem 9
Answers
Answer:
sometimes...
Step-by-step explanation:
mark me brainliest
A parallelogram is sometimes a rectangle.
A) sometimes
Explanation:because the vertices join the adjacent sides at 90° angles and it has two sets of parallel sides and two pairs of opposite sides that are congruent. (a rectangle has all of the properties of a parallelogram.)
Keith wants to give 1/2 an apple to each of his 6 friends. How many apples does he need?
Answers
Answer:
12 apples is the answer because 1/2 divided by 6 is 12
Step-by-step explanation:
Write the following in words in international system with comas:
34407615
Answers
Answer:
34,407,615
Explanation : 34 millions 407 thousands 615
A.
B.
C.
D.
Please help
Answers
Answer:
I Think the answer is B I'm sorry if I'm wrong
) A random sample of n measurements was selected from a population with unknown mean μ and standard deviation σ. Calculate a 95% confidence interval for μ for the following situation:
n=20, x¯¯¯=63.8, s=2.84
≤μ≤
Answers
Answer:
ask MisterBrainly for help
Find the surface area of the pyramid.
Answers
Answer:
i think the answer is 87.
Step-by-step explanation:
i think its 87.
A rectangular garden is 15 ft longer than it is wide. Its area is 700 ft. What are its dimensions?
Answers
Step-by-step explanation:
Given :-
The length of rectangular garden is 15 feet longer than its widthThe area of rectangular garden is 700ft²To find:-
Dimensions of rectangular gardenSolution:-
According to the question , let the length of rectangular garden be x and width be x + 15
We know , the formula for area of rectangular garden is L × B
putting the known values ,
700ft.² = X × (X + 15)
700 ft. ² = x² + 15x
x² + 15 x - 700 = 0
By factorising it we get , x = 20
So , the dimensions of rectangular garden are 20 feet and 35 feet respectively for length and width.
If a house is 4,753 sq. ft, at the cost of $175/sq. ft what is the total cost of the house?
Answers
Answer:
$831,775
Step-by-step explanation:
$175 / sq ft and there are 4,753 square feet, so all we have to do is
175 x 4753 = 831775
Hope this makes sense. If you need further explanation, let me know!
- profparis
Answer:
$831,775
Step-by-step explanation:
the total cost of the house is 4,753 × 175 which is $831, 775
Given m n, find the value of x.
(7X-10)9
(6x-5)°
Answers
Answer:
x = 15
Step-by-step explanation:
Since m and n are parallel to the line t.
Then (7x - 10) + (6x - 5) = 180° supplementary angles for a linear pair.
(7x - 10) + (6x - 5) = 180°
13x -15 = 180°
13x = 195°
x = 15
Plug x into the angles to solve for angle.
(7x - 10)
(7*15 - 10) = 105 - 10 = 95°
(6x - 5) =
(6*15 - 5) = 90 - 5 = 85°
A 6 foot wide painting should be centered on a 10 foot wide wall. How many feet (x) should be on each side of the painting?
Answers
Answer:
The answer would be two feet.
Step-by-step explanation:
Step 1. Do 10-6 (10 being the total space and 6 being the painting)
Step 2. Get the answer of 4.
Step 3. Divide four by 2 because it needs to be centered.
Step 4. Get the answer of two feet on each side.
I hope this helps! :)
Jacob can swim the 400-meter distance in 6.4 minutes now.How many more meters per minutes will Jacob need to swim to reach is goal?Explain how you found your answer.
Answers
Answer:
62.5 meters per minutes
Step-by-step explanation:
What did is the total volume,in cubic feet of the shape below
Answers
Answer:
64ft^3 (The ^3 is meant to be cubed) 64 feet cubed.
Step-by-step explanation:
The picture has already split the two shapes.
*Remember Volume Formula: LWH or Length times Width times Height.*
The first shape is 4ft x 2ft x 2ft
The second shape is a little bit of a fuss but it's alright.
*Talking about the length of Shape no.2*
Since the second shape is longer than the first one (by length). You need to double it meaning: 4x2 or 4+4 = 8ft
The second shape is 8ft x 2ft x 3ft
First shape should have a volume of 16ft
Second shape should have a volume of 48ft
Now, you need to add the two volumes:
48ft + 16ft = 64ft cubed
Landry is going to wrap a birthday present for his mom. He needs to know how much wrapping paper he needs to wrap the present with no overlap.
volume
or
surface area
Answers
Answer:
surface area
Step-by-step explanation:
Wrapping paper covers the surface of an object.
To know how much paper he needs, Landry will need to determine the surface area of the present.
what is the distance of 53 yards square
Answers
Answer:
477 square foot
Step-by-step explanation:
cause yea
i need the answer pls help pls
Answers
Answer:
B
Step-by-step explanation:
x² - 8x + 97 = 0
the general form to solve such quadratic equations is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
a = 1
b = -8
c = 97
so, we get
x = (8 ± sqrt((-8)² - 4×1×97))/(2×1) =
= (8 ± sqrt(64 - 388))/2 = (8 ± sqrt(-324))/2 =
= (8 ± sqrt(324×-1))/2 = (8 ± 18×i)/2 = 4 ± 9i
Write 0.00205 in scientific notation.
Answers
Answer:
Therefore, 0.00205 in scientific notation is 2.05 × 10-3 and It has 3 significant figures. In scientific e-notation it is written as 2.05e-3.
Step-by-step explanation:
Answer:
[tex]2.05 \times 10 ^{ - 3} [/tex]
Enter the output values (Y) with the given function and input values (X).
Answers
Answer:
y = 3x - 2
X Y
6 16 3(6)-2 -> 18-2 = 16
5 13 3(5)-2 -> 15-2= 13
4 10 3(4)-2 -> 12-2= 10
7 19 3(7)-2 -> 21-2= 19
Find the area of the figure.
Answers
answer:
804.980cm²
explanation:
attached
--
if this helped, please consider giving brainliest !
Question - I need more ----- inside of my life
Answers
Answer:
Hi, this is not really a question it is a statement but if you really need help with math then you can provide an actual question.
Step-by-step explanation:
Answer:
Then you must improve to get more things in your life
Which of these inequalities means that
18 is greater than three times a number?
Answers
Let's write this verbal phrase as an inequality.
First of all, let the number be n.
"three times n" can be written like so:-
[tex]\pmb{3n}[/tex]
Now, 18 is greater than 3n:-
[tex]\pmb{18 > 3n}[/tex]
Which means 3n is less than 18:-
[tex]\bigstar{\boxed{\pmb{3n < 18}}}[/tex]
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)
What is the answer to this? Due in 3 minutes!
Answers
X=3
Wx=29
For Wx
7x+8
So you put the 3 in the x
7x3+8
21+8 =29
Hopefully that makes sense
Good luck
The rest is in attached
You use the formula
Wx = 1/2(uv +st )
The clients who get haircuts at Cameron's salon have a variety of hair colors.
brown 7
black 7
blond 4
4
What is the experimental probability that the next client to get a haircut Cameron's salon will
have blond hair?
Write your answer as a fraction or whole number.
P(blond)
Answers
Using it's concept, it is found that there is a [tex]\frac{2}{9}[/tex] experimental probability that the next client to get a haircut Cameron's salon will have blond hair.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
For an experimental probability, these number of outcomes are taken from previous trials.
In this problem, 4 out of 18 clients had blond hair, hence the probability is given by:
P(blond) = 4/18 = 2/9
More can be learned about probabilities at https://brainly.com/question/14398287
#SPJ1
PLEASE HELP ME FIND THE SURFACE AREA OF THIS PRISM
Answers
Answer: i don't know
Step-by-step explanation: i don't know sorry
