Given :
A farmer has 300 feet of fence available to enclose a 4500 square foot region in the shape of adjoining squares, with sides of length x and y.
The big square has sides of length x and the small square has sides of length y.
To Find :
The value of x and y.
Solution :
From attached figure perimeter is given by :
x + x + x + y + y + y + ( x-y ) = 300 ft
4x + 2y = 300
2x + y = 150 ...1)
Now, area is given by :
A = x² + y²
x² + y² = 4500 ...2)
Putting value of y in equation 2), we get :
[tex]x^2 + ( 150 - 2x)^2 =4500\\\\x^2 + 4x^2 + 22500-600x =4500\\\\5x^2 -600x + 18000=0\\\\x^2 - 120x +3600=0\\\\x^2-2\times x\times 60 + 60^2 =0\\\\(x-60)^2 =0\\\\x = 60\ ft[/tex]
y = 150 - ( 2× 60 )
y = 30 ft
Therefore, the value of x and y is 60 ft and 30 ft respectively.
Use what you know about triangles and angle relationships to determine the value of x and y in this isosceles triangle.
(Note: use whole numbers only, do not type the degree
symbol or the word)
Answer:
x = 13
y = 7
Step-by-step explanation:
✔️Recall that sum of the interior angles of a ∆ = 180°
Therefore:
(3x - 3) + (4x + 20) + (7x - 19) = 180° (sum of ∆)
Solve for x
3x - 3 + 4x + 20 + 7x - 19 = 180
14x - 2 = 180
Add 2 to both sides
14x = 182
Divide both sides by 14
✅x = 13
✔️Recall also that an isosceles has two equal sides, therefore:
8y - 7 = 5x - 16
Plug in the value of x
8y - 7 = 5(13) - 16
8y - 7 = 65 - 16
8y - 7 = 49
Add 7 to both sides
8y = 56
Divide both sides by 8
✍️y = 7
Classify a triangle that has 2 equal sides and two angles measuring 53 degrees?
A. Isosceles and Obtuse
B. Isosceles and Acute
C. Scalene and Right
D. Equilateral and AcutE
Answer:
B
Step-by-step explanation:
In geometry, an isosceles triangle is a triangle that has two sides of equal length. An acute angle is less than 90 degrees. Have a great day!
Which of these statements correctly compares the graphed function f(x) to the function g(x)= x/2+5
Answer:
I’m pretty sure it’s B
Step-by-step explanation:
Answer:
C (the rate of change of f(x) is -1/2 and g(x) if 1/2
Step-by-step explanation:
i cant be 100% sure so take this with a grain of salt but if x was 1, f(x)'s rate of change (another word for slope) would be -1/2 whilst g(x)'s slope would be 1/2.
What is the inverse operation of 2/3x=6
2 3 x - 6
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=3x2+9 f - 1 ( x ) = 3 x 2 + 9 is the inverse of f(x)=23x−6 f ( x ) = 2 3 x - 6
pls brain
solve x3 = 8. A. x = 2.8. B. x = 2. C. x = 4. D. x = 8/3
Answer:
Option B x=2
Step-by-step explanation:
Assuming that the problem is X^3=8 you can find the cubed root of 8 which is 2
i will give many points and brainlest if you find the area of the polygon
Answer:
28
Step-by-step explanation:
You can split the figure up
3*4/2 = 6
3*4/2 = 6
8*2 = 16
6+6+16 = 28
The Sanchez family goes to dinner, and the price of the meal was $60. The sales
tax on the meal is 7%, and they also want to leave a 15% tip. What is the total
cost of the meal?
Answer:
89.7
Step-by-step explanation:
math question trignometry
Answer:
the answer is none of these
Step-by-step explanation:
please help if u dont know how to answer then please dont answer
Answer:
table is x y
1 30 that is all you need to solve the whole thing I have to go to the movies
Step-by-step explanation:
18 = 5p + 3 NEED HELP ASAP
Answer:
[tex]p=3[/tex]
Step-by-step explanation:
[tex]5p+3=18\\5p=15\\p=3[/tex]
Hope this helps plz hit the crown :D
Answer:
Are you solving for p , because if you are p = 3
Step-by-step explanation:
18 = 5p + 3
Subtract 3 from both sides
15 = 5p
Divide by 5 in both sides
p = 3
Find the value of x.
A. 20
B. 17
C. 22
D. 15
Answer:
The value if x is 20
Step-by-step explanation:
Hope this helps :)
The value of the variable x is 20. Then the correct option is A.
What is a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
If the two chords of the circle intersect at a point, then the product of the segments of the chord will be equal.
We know that the product of (x - 5) & (x - 8) and (x - 5) & (x) will be equal. Then we have
(x - 5) · (x - 8) = (x - 11) · x
Simplify the equation, then the value of the variable x will be
(x - 5) · (x - 8) = (x - 11) · x
x² - 13x + 40 = x² - 11x
2x = 40
x = 20
Thus, the value of the variable x is 20.
Then the correct option is A.
More about the circle link is given below.
brainly.com/question/11833983
#SPJ5
Find the slope of a line parallel to y = 1/2x + 3.
Answer:
The slope is 1/2
Step-by-step explanation:
hope this helps
Answer:
Slope = 1/2
Step-by-step explanation:
Parallel lines have same slope.
Slope = (1/2)
how do you find the interior angle in a heptagon
Answer:
A heptagon has 7 sides, so we take the hexagon's sum of the interior angles and add 180 to it getting us, 720+180= 900 degrees
Step-by-step explanation:
The formula for calculating the sum of the interior angles of a regular polygon is: (n-2) x 180 degrees. N is the number of sides
what is the monomial if a square of a monomial is 1/4a^2n
Answer:
Answer:
Answer:
1/2a^n
Step-by-step explanation:
Square of the monomial is
To get the monomial we take square root
Lets take square root for each term
because square root of 4 is 2
2/2 is 1 so, its a^n
Required monomial is
1/2a^n
Step-by-step explanation:
Answer:
(1/2a^n)^2
Step-by-step explanation:
The coordinates of which point are (-3, 6)?
Ty
A
6
5
4
13
1
123457
Х
2
3
B
5
6
O point A
O point B
O point
point D
Answer:
point d based on my stuck knowledge
Answer:
i cant tell what your asking but i guess point a...
Step-by-step explanation:
plz, answer the question in the photo.
Answer:
H
Step-by-step explanation:
Step 1 of 2: Subtract, sub-step b: Convert mixed number to improper fraction.
Convert mixed number to improper fraction
2 and 1 over 32
1
3
= ( 2 × 3 ) over 3
2 × 3
3
+ 1 over 3
1
3
= ( 6 + 1 ) over 3
6 + 1
3
= 7 over 3
7
3
Step 1 of 2: Subtract, sub-step c: Find common denominator.
Find common denominator
32 over 9
32
9
− 7 over 3
7
3
= ( 32 × 1 ) over ( 9 × 1 )
32 × 1
9 × 1
− ( 7 × 3 ) over ( 3 × 3 )
7 × 3
3 × 3
= 32 over 9
32
9
− 21 over 9
21
9
9 is the least common multiple of denominators 9 and 3. Use it to convert to equivalent fractions with this common denominator.
Step 1 of 2: Subtract, sub-step d: Subtract.
Subtract
32 over 9
32
9
− 21 over 9
21
9
= ( 32 − 21 ) over 9
32 − 21
9
= 11 over 9
11
9
Step 1 of 2: Subtract.
Step 2 of 2: Simplify.
Simplify
11 over 9
11
9
= 1 and 2 over 91
2
9
Solve for x: 3 - (2x - 5) <-4(x + 2)
Answer:
x < -8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
3 - (2x - 5) < -4(x + 2)
Step 2: Solve for x
Distribute: 3 - 2x + 5 < -4x - 8Combine like terms: -2x + 8 < -4x - 8Add 4x on both sides: 2x + 8 < -8Isolate x term: 2x < -16Isolate x: x < -8Here we see that any value x smaller than -8 would work as a solution in the inequality.
please answer my question
Answer:
dogs and birds..........
PLS HELP WILL GIVE BRAINLIEST
ignore the one i marked
Answer:
im almost postive the one you marked is correct
Step-by-step explanation:
Answer:
The second one
Step-by-step explanation:
When you elevate by 3 you get:
[tex]\sqrt[3]{g}^{3} = g[/tex]
Hope this helps, have a good day
can i get some help
Answer:x = -0.1290322581
Step-by-step explanation:
Simplifying
9x + -4(1 + 10x) = 0
9x + (1 * -4 + 10x * -4) = 0
9x + (-4 + -40x) = 0
Reorder the terms:
-4 + 9x + -40x = 0
Combine like terms: 9x + -40x = -31x
-4 + -31x = 0
Solving
-4 + -31x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + -31x = 0 + 4
Combine like terms: -4 + 4 = 0
0 + -31x = 0 + 4
-31x = 0 + 4
Combine like terms: 0 + 4 = 4
-31x = 4
Divide each side by '-31'.
x = -0.1290322581
Simplifying
-3 - 2 .....................................................
Answer:
-5
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
thats a deep comment
All students in the 6th grade either purchased their
lunch or brought their lunch from home on Monday.
• 24% of the students purchased their lunch.
• 190 students brought their lunch from home.
How many students are in the 6th grade?
Answer:250
Step-by-step explanation:
Pls help I don’t under stand and I’ve been on this question for 2 hours
Answer:
Lumberrum2 [tex]x^{2} \left \{ {{y=2} \atop {x=2}} \right. \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n \left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \pi \alpha \frac{x}{y}[/tex]
Step-by-step explanation:
Answer:
x = 20
p = 144
y = 144
Step-by-step explanation:
Vertically opposite angles are equal.
2x - 4 = 96 - 3x
2x + 3x -4 = 96
5x - 4 = 96
5x = 96+4
5x = 100
x = 100/5
x = 20
2x - 4 = 2*20 - 4 = 80 - 4
= 36
p + (2x - 4) = 180 {linear pair}
p + 36 = 180
p = 180 - 36
p = 144
y = p {vertically opposite angles}
y = 144
How many gallons of water will a rectangular tank hold if the base is a square that is 8 feet 10 inches on one side and the tank is 10 feet 3 inches high? Round to the nearest tenth.
Answer:
reeeeee
Step-by-step explanation:
eeeeeeeeeeee
can someone help, please! also i'm giving brainliest
2 = Distributive Property (you are distributing the -5 to the x and the -6)
1 = Given (its the original equation)
3 = Addition Property of Equality (you add 5x to both sides)
4 = Division Property of Equality (you divide both sides by 15)
find the value of y
a= 23
b= 46
c= 170
d= 85
Answer:
write in algorithm and draw a flowchart to calculate the factorial of a number (N). verify your results by a trace table by assuming N=5
Write the equation of the line that passes through the points (7,4) and (-1, 3), first in point-slope form, and then in
slope-intercept form.
The slope of the line is
When the point (7,-4) is used, the point-slope form of the line is
The slope-intercept form of the line is
Answer:
y = 1/8x + 25/8
Step-by-step explanation:
Can someone help me please
Answer:
B
Step-by-step explanation:
210/3.5=60 60*8.5=510 Add the first fence post to get 518.50
Answer:
B
Step-by-step explanation:
✨Hope it helps✨
Which polynomial function could be represented by the graph below?
On a coordinate plane, a parabola opens up. It goes through (negative 2, 0), has a vertex at (negative 0.5, negative 4.5), and goes through (1, 0).
f(x) = x2 + x – 2
f(x) = 2x2 + 2x – 4
f(x) = x2 – x – 2
f(x) = 2x2 –2x – 4
Answer:
B! just took it!
Step-by-step explanation:
Answer:
B. f(x) = 2x2 + 2x – 4
Step-by-step explanation:
it's lit!!!
Please help as well:
Solve for X
Answer:
If equal to 90 x is 4
Step-by-step explanation: