Answer:
x = 4
Step-by-step explanation:
Length = (4x + 3) feet
Width = (4x - 5 )feet
Area = Length x Breadth
209 = (4x + 3)(4x - 5)
209 = 4x( 4x -5) + 3 (4x -5)
[tex]209 = 16x^2 -20x +12x -15\\\\0 = 16x^2 -8x -15 -209\\\\16x^2 -8x -224 = 0[/tex]
[tex]Quadratic \ Equation \ with a = 16, b = -8, c = -224 \\\\x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}\\\\Substitute \ a, b, c \ in \ the \ equation.\\\\x = \frac{-b + \sqrt{b^2 -4ac}}{2a}, x =\frac{-b \ - \sqrt{b^2 -4ac}}{2a}\\\\x = \frac{8+ \sqrt{64 +14336}}{32}, x = \frac{8- \sqrt{64 +14336}}{32}\\\\x = \frac{8+ \sqrt{14400}}{32}, x = \frac{8-\sqrt{14400}}{32}\\\\x = \frac{8+120 }{32}, x= \frac{8-120}{32}\\\\x = \frac{128}{32} , x = \frac{-112}{32}\\\\x = 4 , x = \frac{-7}{2}[/tex]
Since measure of length or width cannot be negative, we take x = 4
During which time interval is the squirrel traveling at the fastest speed?
1–2 min
2–3 min
5–6 min
8–9 min
If 4x - 8 = 4 , find the value of x
Answer:
x=3
Step-by-step explanation:
4x-8=4
4x=12
4x/4=12/4
x=3
Answer:
x = 3
Step-by-step explanation:
Add 8 to both sides.
4x = 4 + 8
Simplify 4 + 8 to 12.
4x = 12
Divide both sides by 4.
x = 12 ÷ 4
Simplify 12 ÷ 4 to 3
x = 3
60% of the books on a bookshelf are english books. If there are 35 english books on the bookshelf, find the number of the books in the book shelf
Answer: 58 books
Step-by-step explanation:
There are 35 English books on the shelf and this constitutes 60% of the total number of books on the shelf.
Denoting the total number as x, the total number is:
35 = 60% * x
x = 35 / 60%
= 58 books
Please help me answer
Answer:
Step-by-step explanation:
the circumference you make it using the diameter , pi times ( 3.142 times)
C = 13* 3.142 = 40.846
A rectangle has a length of 14 yards less than 9 times its width. If the area of the rectangle is 6183 square yards, find the length of the rectangle.
Answer:
[tex]l=238\ yards[/tex]
Step-by-step explanation:
From the question we are told that:
Area of Rectangle A=6183
Equation of Length
[tex]l=9w-14[/tex]
Where
[tex]w=width\ of\ triangle[/tex]
Generally the equation for Area of Rectangle is mathematically given by
[tex]A=(9w-14)w[/tex]
[tex]A=9w^2-14w[/tex]
[tex]6183=9w^2-14w[/tex]
[tex]9w^2-14w-6183=0[/tex]
[tex]w=28[/tex]
Therefore
[tex]l=9(28)-14[/tex]
[tex]l=238\ yards[/tex]
which numbers chart follows the rule add 7
Can someone help with this
Answer:
20
Step-by-step explanation:
the picture frame shown are both squares the area of a larger frame is four times the area of the smaller frame find the side length of the larger frame. a=64 in sq
Answer:
The side length of the larger square is 32
Step-by-step explanation:
Its 32 because the side lengths for the small square are 8 because 8 by 8 is 64. Multiply 8 by 4 which is 32.
Answer:
The side length of the larger frame is 128 inches.
Step-by-step explanation:
64 × 4 = 256
256 ÷ 2 = 128
What are the new coordinates of point R after polygon QXYZR is rotated 180° and translated 3 units left?
A) (-6,2)
B) (0,-2)
C) (6,-2)
D) (3,-2)
Answer: c
Step-by-step explanation:
Help please it will mean so much thanks ❤️
Answer:
y = 14
Step-by-step explanation:
y = x^2 -5x
Let x =7
y = 7^2 -5*7
y = 49- 35
y = 14
HELP ME PLZ PLZ PLZ PLZ I WILL LOVE U FOREVER PLZ HELP ME
Answer:
0.5 or 1/2
Step-by-step explanation:
each number is half of the bigger triangle. so the answer should be half or 0.5.
EX: 48 x 0.5 = 24
I WILL GIVE BRAINLIEST!!!!!!
Starting at (0,0) if you were to go 5 units left and 6 units up what coordinates would you end up at? What quadrant would you be in?
Answer:
I think Quadrant 1. I;m not trying to just answer for the points
Step-by-step explanation:
2a + 3b = 5
b= a - 5
Answer:
I'm not sure but I thing the answer is 10
Step-by-step explanation:
Find the GCF of the expression 24a^7 +18a^5+12a^3
Answer:
the correct answer is 6a³
Answer:
6a³
Step-by-step explanation:
First find the GCF of the numbers, which is the easy part...
The largest number that 24, 18, and 12 can all be divided by is 6.
So 6 is the first part of the GCF.
Now for the variable...
The smallest exponent in an instance of the variable is 3.
So a³ is the variable part.
GCF: 6a³
I need helppp pls I’m confused
Answer:
30 ft²
Step-by-step explanation:
Area of a paralleogram formula:
A = bh
A = (6)(2)
A = 12
Area of a rectangle:
A = bh
A = 6(3)
A = 18
Combined:
12 + 18
30
Using the figure show, find the missing values. Round each value. Every time I put this up people get it wrong
Answer:
I'm sorry, I can help you with only this one :( ∠F = 44°
Step-by-step explanation:
∠F = 180° - (46° + 90°) = 44°
sin + cose
If tan0 = 1 then, find the values of
sec 0 + cosec
Answer:
We know that:
Tan(x) = sin(x)/cos(x)
We know that:
Tan(θ) = 1 = sin(θ)/cos(θ)
we can rewrite this as:
sin(θ)/cos(θ) = 1
sin(θ) = cos(θ)
If you know the table of notable angles, the angle such that this is true is θ = 45°
sin(45°) = 1/√2 = cos(45°)
Now we want to find the value of:
sec(θ) + cosec(θ)
Where:
sec(θ) = 1/cos(θ)
cosec(θ) = 1/sin(θ)
And we already know the values of the sine and cosine function, then:
sec(45°) + cosec(45°) = 1/cos(45°) + 1/sin(45°) = 2*(1/( 1/√2)) = 2*√2
Then, given that:
Tan(θ) = 1
We can conclude that:
sec(θ) + cosec(θ) = 2*√2
Which of the following is (−5x + 4) − (3x2 − 7x + 4) simplified and written in standard form?
A. 3x2 − 12x + 8
B. 2x − 3x2
C. −3x2 + 7x − 5x
D. −3x2 + 2x
Answer:
D)
Step-by-step explanation:
-5x + 4 - 3x² + 7x - 4
-3x² + 2x
Answer:
(–5x + 4) – (3X²–7x + 4) = ( – 3x² + 2x )
What is the missing number in the pattern below?1, 4, 2, ______, 3
2.5kg of sultana brand costs $4.80 and 1.5 kg of Weetabix costs $2.95, show with working which is the best buy?
2.5kg of sultana brand cost 4.80$
price of 1 kg sultana brand = 0.520$ per kg
1.5 kg of weetabix costs $2.95
price of 1 kg weetabix brand = 0.509$
The best buy is weetabix !
Find the value of x. Help fast me need help
Answer:
(5x + 16) + 102 + 92 + 100 = 360
(5x + 16) + 294 = 360
-294 -294
5x + 16 = 66
-16 -16
5x = 50
Divide by 5 on both sides.
x = 10 degrees
A quadrilateral will always equal 360 degrees
A triangle will always equal 180 degrees.
Akash draws a 4 from ten cards numbered 1 through 10. He replaces the card. Then Ramesh draws a 7. What is the probability of getting a 4 and a 7?
Answer:
1/100
Step-by-step explanation:
P(4 then 7) = 1/10 x 1/10
About 25% of those called for jury duty will find an excuse to avoid it. If 12 people are called what is the probability that all 12 will be available. (Binomial distribution)
Answer:
Approximately [tex]0.032[/tex] (or, equivalently, [tex]3.2\%[/tex],) assuming that the availabilities of the [tex]12[/tex] jurors are independent from one another.
Step-by-step explanation:
The question states that the probability that a given juror is unavailable is approximately [tex]0.25[/tex].
For the complement of that event, the probability that this particular juror is available would be [tex]1 - 0.25 = 0.75[/tex].
Assume that the availabilities of the [tex]12[/tex] jurors are independent from one another. The number of available jurors would be a binomial variable with [tex]n = 12[/tex] and [tex]p = 0.75[/tex] ([tex]12\![/tex] independent observations, each with a [tex]0.75[/tex] probability of being "available".)
Hence, the probability that all [tex]12[/tex] jurors are available would be:
[tex](0.75)^{12} \times (0.25)^{0} \approx 0.032 = 3.2\%[/tex].
A cylinder has a surface area of 502.4 square inches and a height of 11 inches. What is the volume? PLEASE HELP!!
Answer:
V≈ 863.27 in³
Step-by-step explanation:
What is the value of this expression? 6 (24÷ 3) - 2
Answer:
6 (24÷3) -2
6 (8) -2
48-2
=46
Brackets of division multiplication add and subtract
Which one is the correct answer
Answer:
ans is 3x2 ln x is a option correct
The distribution of household incomes in a small town is strongly skewed to the right. The mean income is $42,000 and the standard deviation is $24,000. The Ames family’s household income is $60,000. The z-score for the Ames family’s income is
Answer:
0.75
Step-by-step explanation:
Given :
mean = 42000
Standard deviation = 24000
score, x = 60000
The Zscore :
Zscore = (score - mean) / standard deviation
(60000 - 42000) / 24000
18000 / 24000
= 0.75
please help me with this one
Answer:
a: 500in squared
Step-by-step explanation:
A=(a+b)/2 x h.
19+31=50
50/2=25
25×20=500
please help ive been struggling for a hour i will give a lot of points if corrected
Answer:
EFG = 104°
GFH = 76°
Step-by-step explanation:
The sum of a linear pair is always equal to 180°
So lets solve for the variable n
2n + 32 + 4n + 16 = 180
6n + 48 = 180
6n = 132
n = 22
So now we know N
EFG = 4n + 16
EFG = 88 + 16
EFG = 104°
GFH = 2n + 32°
GFH = 44 + 32
GFH = 76°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Emilia went out to eat dinner, and the meal cost $20.00. If Emilia received a 30% discount, what was the total
value of the discount?
Answer:
The answer would be $12. You would need to change the 30% to 0.3 then multiply by $20. Then take the -$6 and subtract it by $20.