Answer:
x=6
Step-by-step explanation:
Hi there!
1) Determine the perimeter of the square
We're given that the perimeters of the square and the rectangle are equal. Therefore, after finding the perimeter of the square, we will also know the perimeter of the rectangle.
Find the side length of the square using the area formula:
[tex]A=l^2[/tex] where l is the side length
Plug in the given area 121 in.²
[tex]121=l^2[/tex]
Take the square root of both sides
[tex]\sqrt{121} = \sqrt{l^2} \\11=l[/tex]
Therefore, the side length of the square is 11 inches. Plug this into the perimeter formula:
[tex]P=4l[/tex] where l is the side length
[tex]P=4(11)\\P=44[/tex]
Therefore, the perimeter of the square is 44 inches. The perimeter of the rectangle is also 44 inches.
2) Determine the value of x
Use the formula for the perimeter of a rectangle:
[tex]P=2(l+w)[/tex] where l is the length and w is the width
Plug in 3x and x-2 as the length and width
[tex]P=2(3x+(x-2))\\P=2(3x+x-2)\\P=2(4x-2)[/tex]
Plug in the perimeter 44 in.
[tex]44=2(4x-2)[/tex]
Expand the parentheses
[tex]44=8x-4[/tex]
Add 4 to both sides to isolate 8x
[tex]44+4=8x-4+4\\48=8x[/tex]
Divide both sides by 8 to isolate x
[tex]\frac{48}{8}=\frac{8x}{8} \\6=x[/tex]
Therefore, the value of x is 6.
I hope this helps!
Polygon B is a scaled copy of Polygon A using a scale factor of 5.
How many times larger is the area of Polygon B than the area Polygon A?
Answer:
5times largerof apolygon
Triangle RST is made of points R(-10, 5.6), S(0, 7) and T(-6, -34).
If it is rotated 180° to form triangle R'S'T', enter the coordinates of T'.
?_? HELP
Answer:
Step-by-step explanation:
In the absence of additional information, will assume rotation is about the origin.
A 180° rotation about the origin has the equation
(x,y) => (-x,-y)
Therefore
R(-10, 5.6) => R'(10, -5.6)
S(0, 7) => S'(0, -7)
T(-6, -34) => T'(6, 34)
if the simple interest eamed on $8000 for 9 years is $2,160. Then what is the interest rate?
Answer:
3%
Step-by-step explanation:
2160/9 years =240/year
240/8000=3%
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Answer:
Fossil fuel resources are plentiful in areas that had certain types of ecosystems millions of years ago.
Step-by-step explanation:
Answer Choice 1. Incorrect. Minerals can be found all over the world in the crust of the earth, but generally in such small quantities that they are not worth extracting.
Answer Choice 2. Correct. Fossil fuels can be found more in areas that had a lot of plant growth because, after a long time, the heat and pressure changed the plants into fossil fuels.
Answer Choice 3. Incorrect. Minerals, fresh water, and biosphere resources are distributed unevenly around the planet as a result of past geologic processes.
Answer Choice 4. Incorrect. It depends more on the geological processes to produce large mineral deposits compared to the location of where they are.
5x - 7 = 2x + 11
x = ?
Answer:
6
Step-by-step explanation:
Move all terms containing x to the left, all other terms to the right.
Add '-2x' to each side of the equation.
-7 + 5x + -2x = 11 + 2x + -2x
Combine like terms: 5x + -2x = 3x
-7 + 3x = 11 + 2x + -2x
Combine like terms: 2x + -2x = 0
-7 + 3x = 11 + 0
-7 + 3x = 11
Add '7' to each side of the equation.
-7 + 7 + 3x = 11 + 7
Combine like terms: -7 + 7 = 0
0 + 3x = 11 + 7
3x = 11 + 7
Combine like terms: 11 + 7 = 18
3x = 18
Divide each side by '3'.
x = 6
Simplifying
x = 6
Answer:
x=6
Step-by-step explanation:
Solve 5x−7=2x+11.
Subtract 2x from both sides.
5x−7−2x=2x+11−2x
3x−7=11
Add 7 to both sides.
3x−7+7=11+7
3x=18
Divide both sides by 3.
[tex]\frac{3x}{3} =\frac{18}{3}[/tex]
x=6
Answer:
x=6
Condense the following logarithm:
[tex]5 log_{4}(a) - 6 log_{4}(b) [/tex]
log 4 ( a^5 ) - log 4 ( b^6 ) =
log 4 ( a^5 / b^6 )
ok LAST ONE I PRIMKSE
"sqrt" is shorthand for "square root". If you need x as well, it is x = 18
=============================================================
Explanation:
This is a 30-60-90 triangle. The hypotenuse is twice that of the short leg, so the hypotenuse is x = 2*9 = 18 units.
The long leg is sqrt(3) times the short leg, so y = 9sqrt(3)
You could use the trig ratios (sine, cosine, tangent) to help find these values.
Answer:
[tex]\displaystyle y = 9\sqrt{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacentStep-by-step explanation:
Step 1: Define
Identify variables
Angle θ = 30°
Opposite Leg = 9
Adjacent Leg = y
Step 2: Solve for y
Substitute in variables [Tangent]: [tex]\displaystyle tan(30^\circ) = \frac{9}{y}[/tex][Multiplication Property of Equality] Cross-multiply: [tex]\displaystyle y = \frac{9}{tan(30^\circ)}[/tex]Evaluate: [tex]\displaystyle y = 9\sqrt{3}[/tex]in the equation '3x-3=9, transposing -3RHS,we get 3x=9
[tex]\sf\purple{The\:value\:of\:x\:is\:4.}[/tex] ✅
Step-by-step explanation:-
[tex]3x - 3 = 9 \\ ➡ \: 3x = 9 + 3 \\ ➡ \: x = \frac{12}{3} \\ ➡ \: x = 4[/tex]
To verify:-
[tex]3 \times 4 - 3 = 9 \\ ➵ \: 12 - 3 = 9 \\ ➵ \: 9 = 9 \\ ➵ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
please help me out with this equation!
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Answer: Choice B
vertex = (3, -4)y intercept = (0, 5)x intercepts = (1, 0) and (5, 0)axis of symmetry: x = 3========================================================
Explanation:
The vertex is the lowest point for parabolas that open upward like this. The lowest point is (3, -4). If the parabola is flipped upside down, then the vertex would be the highest point.
--------
The y intercept is where the graph crosses the y axis. For any function, it will have at most one y intercept (some don't have any at all but the most you can have is 1 y intercept). The graph crosses the vertical y axis at (0,5). We can say in short "the y intercept is 5". The y intercept always occurs when x = 0.
--------
On the flip side, the x intercept always occurs when y = 0. This is where the graph crosses or touches the x axis. We have two such locations of (1,0) and (5,0). In short, we could say "the x intercepts are 1 and 5". The term "root" is another word we could use in place for "x intercept". Unlike the y intercept, we can have as many x intercepts as we want.
--------
The axis of symmetry is the vertical line through the parabola. It is the x coordinate of the vertex. So it's not a coincidence that the vertex is at (3,-4) and the axis of symmetry is x = 3, with those '3's repeated twice.
Help pleasee MARKED BRAILIEST!!!
Answer:
10 dance classes
Step-by-step explanation:
The last option is the correct answer.
( A student needs to take 10 dance classes to learn the routine. )
2,668 ÷ 53 (Im putting this because it has to be 20 characters or more)
Answer:
50.33962264
Step-by-step explanation:
brainlest pls
Answer:
the answer is 50.33
Step-by-step explanation:
someone check out my recent question
Jamie has $150 in her savings account before the summer and will be saving $10 per hour babysitting this summer. Kate has $50 in her account before the summer and will be making $15 an hour teaching swim lessons. After how many hours of work will each friend have the same amount of money?
Answer:
10 horas los dos para tender 150
Determine the quadratic equaion that
passes through the intercepts (-3,0) and
(-8,0).
Please someone help with this cone volume please
Answer:
the answer is
235.62m^3.
What is the value of tan O?
Answer:
In trigonometry, the value of tan 0 is 0. The word 'Trigonometry' is derived from the Greek word and the subject is developed to solve geometric problems involving triangles. It is used to measure the sides of a triangle.
Answer:
→ 0 (zero)
Step-by-step explanation:
The value of tan 0 is 0.
Simplify the algebraic expression: 4x + 8y + 7x² + 5x – 2y.
PLEASE ANSWER I NEED THIS DONE FOR MY STUDY GUIDE
Answer:
7x² + 9x + 6y
Step-by-step explanation:
7x² + 4x + 5x + 8y - 2y
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Answer: The last choice
Tension between a characters two desires.
Step-by-step explanation:
External conflict includes
Man vs Man
Man vs Nature
Man vs society
which is what the first three choices show. while the last choice shows an internal conflict.
2. Write the following in order from least
to greatest:
0.7, 0.84, 4/5, 82%, 71/100
Answer:
0.7, 71/100, 4/5, 82%, 0.84
Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio, si avanza medio kilómetro en bus y lo demás a pie ¿Cuánto le falta caminar?
Answer:
Al estudiante le falta caminar [tex]\frac{1}{3}[/tex] de kilómetro.
Step-by-step explanation:
Un estudiante debe recorrer dos tercios de kilómetro para llegar al colegio. Dos tercios equivale a la fracción [tex]\frac{2}{3}[/tex] .
El estudiante avanza medio kilómetro en bus. Un medio equivale a la fracción [tex]\frac{1}{2}[/tex], por lo tanto un medio es la mitad de una cantidad. Para calcular la distancia recorrida en bus se realiza la siguiente multiplicación:
[tex]\frac{1}{2} *\frac{2}{3}[/tex]
Resolviendo:
[tex]\frac{1}{2} *\frac{2}{3} =\frac{1*2}{2*3} =\frac{2}{6} =\frac{1}{3}[/tex]
Entonces, la distancia recorrida en bus es [tex]\frac{1}{3}[/tex] de kilómetro.
Para calcular la distancia recorrida a pie se calcula la diferencia entre la distancia total a recorrer por el estudiante y la distancia recorrida en bus. Esto es:
[tex]\frac{2}{3} - \frac{1}{3}[/tex]
Resolviendo:
[tex]\frac{2}{3} - \frac{1}{3}=\frac{2-1}{3} =\frac{1}{3}[/tex]
Al estudiante le falta caminar [tex]\frac{1}{3}[/tex] de kilómetro.
Find the volume of each figure. Simplify your answers.
Please help ASAPPP
thank you so much!!!!
Answer:
231.556
simplifyed?: 232
Suppose someone spent the following amounts over several months, $640, $710, $700 and $685. What would be their average monthly expenditure? (Show Your Work)
Answer:
help help help help jelp
Answer:
Step-by-step explanation:
First,
$640+$710+$700+$685=$2735.(total expenditure).
$2735÷4=$683.75.TOTAL AVERAGE.
En un acuario compraron 30 peces y 18 tortugas de agua. Los van a colocar en peceras. Cada una tiene que haber la misma cantidad de peces, la misma cantidad de tortugas y la mayor cantidad de animales posibles ¿cuantas peceras compraron? ¿cuantos peces compraron? ¿cuantos peces y tortugas puede tener cada pecera? Diganme porfaa
Answer:
a) ¿Cuántas peceras compraron?
Según el cálculo anterior, la cantidad de peceras que compró es de 90 peceras.
b) ¿Cuántos peces y tortugas puede tener cada tanque?
3 peces por tanque
5 tortugas de agua por tanque
Step-by-step explanation:
Resolvemos la pregunta anterior utilizando el cálculo de múltiplo común más bajo
En un acuario compraron 30 peces y 18 tortugas de agua.
Encuentre y enumere los múltiplos de cada número hasta encontrar el primer múltiplo común. Este es el mínimo común múltiplo.
El mínimo común múltiplo es el número de tanques
Múltiplos de 18:
18, 36, 54, 72, 90, 108, 126
Múltiplos de 30:
30, 60, 90, 120, 150
Por lo tanto,
MCM (18; 30) = 90
a) ¿Cuántas peceras compraron?
Según el cálculo anterior, la cantidad de peceras que compró es de 90 peceras.
b) ¿Cuántos peces y tortugas puede tener cada tanque?
El número de peces que puede tener cada tanque = Número de tanques / Número de peces
= 90/30
= 3 peces por tanque
El número de tortugas de agua que puede tener cada tanque =
Número de tanques / Número de tortugas de agua
= 90/18
= 5 tortugas de agua por tanque
There are 20 music downloads in my phone. Eight of them are country and the rest are hip-hop. Find the ratio of country to hip-hop songs on my phone in simplest form.
Answer:
8:12
Step-by-step explanation:
you have 20 music downloads and you already told me that eight are country so you use 20 to minus eight and you get the number of hip-hop then you do the ratio which is 20 minus 8 is 12 ratio from country to hip hop is 8:12
A sprinkler sprays water a distance of 10.2 m in a circular pattern How much area does the sprinkler cover in one complete rotation? Use 3.14 for n and round to the nearest tenth.
Answer:
64.1
Step-by-step explanation:
2 time 3.14 times 10.2
64.056
64.1
Do Now-Find the size of a flat-screen tv given the length and
width, using the PT. Show ALL WORK for FULL Credit:
20in
25 in
Can someone give me the answer this question
Answer:
x = 16
Step-by-step explanation:
We know that the 2 given angles are same side interior angles, and therefore are supplementary (add up to 180°). The equation to solve for "x" would be written as:
(Angle 1) + (Angle 2) = 180°
(8x - 10) + (62) = 180°
8x + 52 = 180
8x = 180 - 52
8x = 128
x = 16
Therefore, x = 16
Hope this helps!
I need help please help me !!!!
Which of the following is the graph of:
(x-3)^2+(y+1)^2=9?
center = (3, -1)
radius = 3
==================================================
Explanation:
Rewrite the y+1 as y-(-1). Rewrite the 9 as 3^2
Then compare to the general form (x-h)^2+(y-k)^2 = r^2
You should find that h = 3, k = -1 and r = 3.
The center is (h, k) = (3,-1) and the radius is r = 3.
Choice A matches with that description.
(35+4n)−(15+3n)
pls answer asap
Answer:
20 - n
Step-by-step explanation:
Subtract like-terms:
35 + 4n - 15 - 3n = 20 - n
Glenn bought a game system and 3 video games for $375. Jim bought a game
system and 4 video games at the same store for $410.
• Each game system costs the same.
• Each video game costs the same.
What is the cost, in dollars, of one game system?
Enter your answer in the box.
$
Answer:
mcas ikr- $270 per game system (35 per game)
Step-by-step explanation:
solves system