El largo de un rectángulo es 8 metros mayor que su ancho. Si el ancho del rectángulo es x metros, la expresión algebraica que representa su perímetro es: *
Answer:
La expresión algebraica que representa el perímetro del rectángulo es:
perímetro = 4x + 16
Step-by-step explanation:
La formula del perímetro de un rectángulo es:
p = 2(ancho + largo)
Entonces:
b = x + 8 primer ecuación
p = 2(x+b) segunda ecuación
x = longitud del ancho del rectángulo
b = longitud del largo del rectángulo
por tanto:
sustituyendo el valor de la primer ecuación en la segunda ecuación:
p = 2(x + (x+8))
p = 2(2x + 8)
p = 4x + 16
Usando conceptos de rectángulo, se encuentra que el perímetro está dado por:
[tex]P = 4x + 16[/tex]
El perímetro de un rectangulo de ancho a y largo l es dado por:
[tex]P = 2(l + a)[/tex]
En este problema, el ancho es de x metros, o sea, [tex]l = x[/tex], enquanto el largo 8 metros mayor que su ancho, o sea, [tex]l = x + 8[/tex]
Por eso, el perímetro es dado por:
[tex]P = 2(l + a)[/tex]
[tex]P = 2(x + x + 8)[/tex]
[tex]P = 2(2x + 8)[/tex]
[tex]P = 4x + 16[/tex]
Un problema similar que tambíen envolve el perímetro de un rectangulo es dado en https://brainly.com/question/21715963
After which transformation of △ABC would the image △A'B'C' not have the same area?
Answer:
. reflection across the y-axis followed by a rotation 90° clockwise about the origin
2. rotation 180° clockwise about the origin followed by a reflection across the line y = -x
Step-by-step explanation:
Dilation of △ABC rotation 180° clockwise about the origin followed by a reflection across the line y = -x,
Reflection across the y-axis followed by a rotation 90° clockwise about the origin.
What is Dilation?Dilation is a process for creating similar figures by changing the size.
In transformation of △ABC,
Dilation of △ABC rotation 180° clockwise about the origin followed by a reflection across the line y = -x,
Reflection across the y-axis followed by a rotation 90° clockwise about the origin.
Hence, the image △A'B'C' not have the same area.
Learn more about Dilation here:
https://brainly.com/question/13176891
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PLEASE HELP ME GUYS!! In a complete sentence, describe the angle relationship between ∠DAE and ∠EAF. Then write and solve an equation based on the relationship you identified in order to find the measure of ∠DAE.
Answer:
Hey there!
Angle DAE and EAF are complementary angles, meaning that they add to 90 degrees.
Thus, we have 65+x=90
Solving for x we have 25.
Hope this helps :)
(TIMED PLEASE HELP!!) The area of the two triangles is given by the functions: Area of Triangle A: x2 + x Area of Triangle B: x2 – 3x Which function represents the sum of the areas of the two triangles? (a) 4x (b)–4x (c) x2 – 4x (d) 2x2 – 2x
Answer:
D
Step-by-step explanation:
Here, we are given the values of the areas of the two triangles and we want to find the sum of these areas
The sum can be found by adding the area of triangle A to the area of triangle B
That would be;
x^2 + x + x^2-3x = 2x^2 -2x
Answer:
d
Step-by-step explanation:
For each function, state the vertex and whether the function has a maximum or minimum value. Explain how you decided? f(x) = -(x + 1)^2 + 6
Answer:
maximum value at (- 1, 6 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
• If a > 0 then minimum value
• If a < 0 then maximum value
y = - (x + 1)² + 6
with (h, k) = (- 1, 6 ) and a = - 1
Thus vertex = (- 1, 6 ) and is a maximum
Helps is needed
Malita wants to prove that the interior angles of any triangle sum to 180°. She draws a
line through one vertex parallel to the opposite side, and then she labels all the angles
formed.
Drag a statement to match each reason in Malita's two-column proof in the table
below.
Answer:
See explanations and diagram attached.
Step-by-step explanation:
1. angle 4 = angle 3, and angle 5 = angle 2 alternate interior angles with red line parallel to side opposite angle 1
3. angle 1 + angle 4 + angle 5 = 180 because these angles lie on a straight line.
Find the missing side. Round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
In a right triangle, the sides forming the right angle also determine the angle opposite one of the sides.
Tan(29) =26/x Multiply both sides by x
x tan(29) = 26 Divide by tan(29)
x = 26/tan(29) Find tan(29)
x = 26/0.5543 Divide
x= 46.9
Which quadrilaterals have diagonals that are always
perpendicular to each other?
Answer:
rhombus and square
Answer:
Rhombus and square
Step-by-step explanation:
The quadrilaterals that satisfy this condition are rhombi and squares.
Help pleaseeeeeeeeee
Answer:
39°27°28°Step-by-step explanation:
1.
[tex]Hypotenuse = 32\\Adjacent = 25\\Angle\:\alpha \:=?\\Using \: SOHCAHTOA ;\\Cos \:\alpha = \frac{adj}{hyp} \\Cos \:\alpha = \frac{25}{32}\\\\\alpha = Cos^-^1\frac{25}{32} \\\alpha =38.62\\\\\alpha = 39[/tex]
2.
[tex]Opposite = 8\\Adjacent = 16\\\alpha =?\\Using SOHCAHTOA\\Tan\:\alpha = \frac{opp}{adj} \\Tan\:\alpha = \frac{8}{16} \\Tan \:\alpha =1/2\\\alpha = Tan^-^11/2\\\\\alpha =26.56\\\alpha =27[/tex]
3.
[tex]Hypotenuse = 41\\Opposite = 19\\\alpha = ?\\Using\: SOHCAHTOA\\Sin\:\alpha = \frac{opp}{hyp} \\Sin \:\alpha =\frac{19}{41}\\\\\alpha =Sin^-^1 (19/41)\\\\\alpha =27.6\\ \alpha =28[/tex]
how high does the ball roll on its 3rd time up the cylinder's side
( d is 1/8 )
Step-by-step explanation:
aₙ = 2 (¼)ⁿ⁻¹
a₃ = 2 (¼)³⁻¹
a₃ = 2 (¼)²
a₃ = ⅛
Answer:
1/8 inches
Step-by-step explanation:
Using the given function
d(n) = 2(1/4)^(n-1)
the initial value is 2, which is the height of the ball after the first roll.
For the third roll, n = 3
d(n) = 2 (1/4)^(3-1)
d(n) = 2 (1/4)^2
d(n) = 2/16
d(n) = 1/8
factorise x^3-3x-2 ASAP
See the answer in attachment
Answer:
(x-2)(x+1)(x+1)
Step-by-step explanation:
x³-3x-2=
(x-2)(x+1)(x+1)
Please help I need to finish this before I can take my final
Options:
A) f(x), g(x), h(x)
B) g(x), f(x), h(x)
C) h(x), g(x), f(x)
D) g(x), h(x), f(x)
Answer: D
Step-by-step explanation: Plug in 0 for x and solve. Then plug in 4 for x and solve. Compare the results. Which function has the smallest difference in output? Which has the greatest difference in output?
please answer this question now
Answer:
≈ 94.9 mi²
Step-by-step explanation:
The area (A) of Δ WXY can be calculated as
A = [tex]\frac{1}{2}[/tex] × WY × WX × sinW
∠ W = 180° - (40 + 21)° = 180° - 61° = 119°
Calculate WX using the Sine rule, that is
[tex]\frac{11}{sin21}[/tex] = [tex]\frac{WX}{sin40}[/tex] ( cross- multiply )
WX sin21° = 11 sin40° ( divide both sides by sin21° )
WX = [tex]\frac{11sin40}{sin21}[/tex] ≈ 19.73 mi , thus
A = 0.5 × 11 × 19.73 × sin119° ≈ 49.9 mi² ( to the nearest tenth )
Which of the following equations have infinitely many solutions? Choose All that apply. A: 37x-37=37x-37 B: 74x-37=74-37 C: 73x-37=73x-37 D: x-37=x-37
Answer:
(A), (C) and (D).
Step-by-step explanation:
An equation will have infinite solutions if both sides of the equal sign are the exact same thing, for instance [tex]4x+4=4x+4[/tex]. (You can test this with any value of x and find that they all work!)
So to find the equations that have infinite solutions, we need to see which have the same exact sides.
[tex]37x-37 = 37x-37[/tex] have the same thing on each side: [tex]37x-37\\[/tex], so this has infinite solutions.
[tex]74x-37 = 74-37[/tex] does not have the same thing on each side, so it doesn’t have infinite solutions (it has 1)
[tex]73x-37 = 73x-37[/tex] has the same thing on each side: [tex]73x-37[/tex], so this has infinite solutions.
And finally, [tex]x-37=x-37[/tex] has the same thing on each side: [tex]x-37[/tex], so it has infinite solutions.
Hope this helped!
Answer:
question is not clear please send clear question
Find the common ratio of the geometric sequence: 3,4,16/3,…
Answer:
4/3
Step-by-step explanation:
The common ratio is the number you multiply by 3 to get 4. This would be 4/3.
Answer:
4/3
Step-by-step explanation:
Well let's work backwards.
3 * what = 4
To figure out "what" we do,
4 ÷ 3
= 1.3333333333
As a fraction it is 4/3.
Thus,
the common ratio is 4/3.
Hope this helps :)
A library buys 36 English books, 48 Science books and 72 Mathematics books. The thickness of each book is the same. Now, the librarian wants the books to be placed in stacks, such that each stack has books of the same subject, and the height of each stack is the same. Also, the librarian wants as few stacks as possible. How many stacks of books will there be?
Answer:
13
Step-by-step explanation:
The GCF of 36, 48, and 72 is 12 so there will be 36 / 12 = 3 stacks of English books, 48 / 12 = 4 stacks of science books and 72 / 12 = 6 stacks of math books for a total of 3 + 4 + 6 = 13 stacks.
Answer:
235
Step-by-step explanation:
Apply the distributive property to create an equivalent expression. 4(x-2+y)= Help ASAP
4(x - 2 + y)
= 4x - 8 + 8y
= 4x + 8y - 8
Happy to help!
Answer:
4x-8+4y
Step-by-step explanation:
When you distribute the 4, it becomes 4x-8+4y, and this statement is equivalent to 4(x-2+y)
Find the value of for which 3,5, p+5, 25 are in
proportion
Answer:
p = 10
Step-by-step explanation:
Maybe you want ...
[tex]\dfrac{3}{5}=\dfrac{p+5}{25}\\\\15=p+5\qquad\text{multiply by 25}\\\\10=p\qquad\text{subtract 5}[/tex]
The value of p is 10 to make (p+5)/25 = 3/5.
02.06A LC) Which number is not in scientific notation? 02.06A
the answer is (A) you cant have 11 it should be 1.1 x 10^22
A 90% confidence interval for p, the proportion of all registered voters who favored a mileage increase, was found to be (0.40, 0.70). Does the interval support that a majority of voters favored a mileage increase? Explain. .
A. Yes; 50% is within the bounds of the interval
B. Yes; the lower bound is above 50%
C. No, the lower bound is below 50%
D. No: 50% is not within the bounds of the interval
Answer:
A is the correct answer
Yes, 50% is within the bounds of the interval
Step-by-step explanation:
Here, we want to know if the interval support that a majority of the voters favored the mileage increase.
Our correct selected answer is yes.
To be able to select that out of all the options, we must look at the interval of the proportion of the voters that support the mileage. The proportion is noticeable from the question and we can see that within the given interval, we have 50% of the proportion lying within it.
Since we have 50% lying within our interval, then we can confidently confirm at 90% confidence interval for p that the interval support that a majority of voters favored a mileage increase
greatly appreciate help :) picture below
Answer:
The answer is None.
Step-by-step explanation:
I took the test on FLVS and I got the answer right.
I hope this helps. I am sorry if you get this wrong.
Answer:
None. Say the obtuse angle is 100 degrees. Since the sum of all angles in a triangle cannot be bigger than 180, it's not possible because 195 (100+95) is greater than 180 degrees.
Step-by-step explanation:
I was at the store, and saw two sizes of avocados being sold. The regular size sold for $0.84 each. For what prices would the larger avocado be a better deal?
Answer:
The bigger avocado will be a better deal if the ratio of the sizes of the bigger one to the smaller one is less than the ratio of the prices of the bigger one to the smaller one.
Step-by-step explanation:
Given that two sizea of avocados are being sold, since the regular size is being sold for $0.84 each, let the price for the bigger avocado be $x.
Then note the following:
1. How bigger than the smaller avocado is the bigger one?
This would determine if the price for the bigger one is a bargain, or a mistake.
If for instance, the bigger avocado is double the size of the smaller one, then for any price, $x less that $1.68 (twice of $0.84), it is a bargain.
The bigger avocado will be a better deal if the ratio of the sizes bigger one to the smaller one is less than the ratio of the prices of the bigger one to the smaller one.
Answer:
The better deal cannot be decided as we were not the weights of the 2 avocados. However, we assume they are x is the price of the larger avocado and y the weight of the larger avocado. Therefore we calculate the price per pound of the larger avocado which is x/y. The weight of the smaller avocado is called z while the price od the smaller / regular avocado is $0.84.The price per pound of the smaller / regular avocado is calculated as 0.84/z. Therefore x/y<0.84/z will make buying the longer avocado a better deal. Also, x/y>0.84/z will make buying the smaller/ regular avocado a better deal.
Step-by-step explanation:
The better deal cannot be decided as we were not the weights of the 2 avocados. However, we assume they are x is the price of the larger avocado and y the weight of the larger avocado. Therefore we calculate the price per pound of the larger avocado which is x/y. The weight of the smaller avocado is called z while the price od the smaller / regular avocado is $0.84.The price per pound of the smaller / regular avocado is calculated as 0.84/z. Therefore x/y<0.84/z will make buying the longer avocado a better deal. Also, x/y>0.84/z will make buying the smaller/ regular avocado a better deal.
Find the equation of the line that passes through (-1,5) and is perpendicular to y – 5x = 1.
The answer is
[tex]y = - \frac{1}{5} x + \frac{24}{5} [/tex]
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
y - 5x = 1
y = 5x + 1
Comparing with the above formula
The slope / m of the line is 5
Since the is perpendicular to y = 5x + 1 it's slope it's the negative inverse of y = 5x + 1
That's
Slope of the perpendicular line = - 1/5
Equation of the line using point (-1,5) is
[tex]y - 5 = - \frac{1}{5} (x + 1)[/tex]
[tex]y - 5 = - \frac{1}{5} x - \frac{1}{5} [/tex]
[tex]y = - \frac{1}{5} x - \frac{1}{5} + 5[/tex]
We have the final answer as
[tex]y = - \frac{1}{5} x + \frac{24}{5} [/tex]
Hope this helps you
Answer:
[tex]\huge\boxed{y=-\dfrac{1}{5}x+\dfrac{24}{5}\to x+5y=24}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
Let
[tex]k:y=m_1x+b_1;\ l:y=m_2x+b_2[/tex]
therefore
[tex]k||l\iff m_1=m_2\\k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}[/tex]
We have the equation of a line in the standard form. Convert it to the slope-intercept form:
[tex]y-5x=1[/tex] add 5x to both sides
[tex]y-5x+5x=1+5x\\\\y=5x+1\to m_1=5;\ b_1=1[/tex]
Calculate the slope:
[tex]m_2=-\dfrac{1}{5}[/tex]
Substitute the value of a slope and the coordinates of the given point (-1, 5) to the equation of a line:
[tex]y=m_2x+b[/tex]
[tex]5=\left(-\dfrac{1}{5}\right)(-1)+b[/tex]
[tex]5=\dfrac{1}{5}+b[/tex] subtract 1/5 from both sides
[tex]5-\dfrac{1}{5}=\dfrac{1}{5}-\dfrac{1}{5}+b[/tex]
[tex]\dfrac{25}{5}-\dfrac{1}{5}=b\\\\\dfrac{24}{5}=b\to b=\dfrac{24}{5}[/tex]
Final answer:
[tex]y=-\dfrac{1}{5}x+\dfrac{24}{5}[/tex]
convert to the standard form (Ax + By = C):
[tex]y=-\dfrac{1}{5}x+\dfrac{24}{5}[/tex] multiply both sides by 5
[tex]5y=(5)\left(-\dfrac{1}{5}x\right)+(5)\left(\dfrac{24}{5}\right)[/tex]
[tex]5y=-x+24[/tex] add x to both sides
[tex]x+5y=24[/tex]
Lines L and K are parallel to each other. Measure of angle A= 120 degrees, and measure of angle C= 80 degrees. What is the number of degrees in measure of angle B? Please answer ASAP! Thanks!
Answer:
160°
Step-by-step explanation:
The way I am doing it may not be the correct way but it works. What I did was take 90° away from 120° to make it 30° as if there is a line. I did this so I could make a triangle. Using the triangle addition postulate, I Added 30 to 80 to get 110 than subtracted that from 180 to get 70. Lastly, i added 90° to 70° to get 160°
Hope this helped you get the answer :)
The measure of angle B in Parallel lines will be 160°.
What are parallel lines?
Parallel lines are those lines that never intersect at any point and always maintain a constant distance.
We have,
Lines L and K are parallel to each other.
And,
The measure of angle A = 120°
The measure of angle C = 80°
Now,
Draw a straight line from A to B,
So, that ∠BAl = 90° and
∠ABk = 90°
We get,
ΔABC,
Now in ΔABC,
∠C = 80°
∠A = 120 - 90 = 30°
So, Using Tringle angle sum property,
80° + 30° + ∠ABC = 180°
⇒
∠ABC = 180° - 110°
∠ABC = 70°,
Now,
Adding ∠ABC and ∠ABk, to get ∠CBk,
i.e.
∠CBk = ∠ABC + ∠ABk = 70° + 90°
∠CBk = 160°
Hence we can say that the measure of angle B will be 160°.
To learn more about Parallel lines click here,
https://brainly.com/question/16701300
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these polygons are similar. find the value of x
Answer:
20Option D is the correct option.
Step-by-step explanation:
As they are similar, correspondence sides are in common ratios:
[tex] \frac{x}{10} = \frac{10}{5} [/tex]
Apply cross product property
[tex]5x = 10 \times 10[/tex]
Multiply the numbers
[tex]5x = 100[/tex]
Divide both sides of the equation by 5
[tex] \frac{5x}{5} = \frac{100}{5} [/tex]
Calculate
[tex]x = 20[/tex]
Hope this helps...
Best regards!!
Please answer this fast in two minutes now
Answer:
18.3Step-by-step explanation:
from cosines theorem:
t² = 11² + 14² - 2•11•14•cos87°
t² = 121 + 196 + 308•0.05236
t² = 333.12688
t = √333.12688
t = 18.2517... ≈ 18.3
Please answer this question now
Answer:
s = 11.4
Step-by-step explanation:
The following data were obtained from the question:
Angle S = 60°
Opposite S = s =?
Opposite U = u = 13
Opposite T = t = 5
Thus, from the data obtained from the question, we can calculate the value of s by using cosine rule as shown below:
s² = u² + t² – 2ut Cos S
s² = 13² + 5² – 2 × 13 × 5 × Cos 60
s² = 169 + 25 – 130 × 0.5
s² = 194 – 65
s² = 129
Take the square root of both side.
s = √129
s = 11.4
Therefore, the value of s is 11.4
What is x, if the volume of the cylinder is 768 pi cm3? Do not use units or commas in your answer.
Answer:
48
Step-by-step explanation:
We have that the volume of a cylinder is given by:
V = pi * (r ^ 2) * h
In this case we know the diameter, we know that the radius is half the diameter like this:
r = d / 2
r = 8/2
r = 4
Now we know that the V equals 768 pi
we replace and we have:
768 * pi = pi * (4 ^ 2) * h
768 = 16 * h
h = 768/16
h = 48
Therefore the value of x would be 48 cm
What is the equation of the following line? Be sure to scroll down first to see all answer options.
Answer:
E
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂. y₂ ) = (8, 2) ← 2 points on the line
m = [tex]\frac{2-0}{8-0}[/tex] = [tex]\frac{2}{8}[/tex] = [tex]\frac{1}{4}[/tex]
y = [tex]\frac{1}{4}[/tex] x → E
Answer:
y=1/4x
Step-by-step explanation:
because its the answer
On the coordinate plane below, Point P is located at (2,-3), and point Q is located at (-4,4).
Find the distance between points P and Q Round your answer to the nearest whole number.
Answer:
Approximately 9 units.
Step-by-step explanation:
To find the distance between two ordered pairs, we can use the distance formula. The distance formula is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Let (2,-3) be x₁ and y₁ respectively, and let (-4,4) be x₂ and y₂, respectively.
[tex]d=\sqrt{(-4-2)^2+(4--3)^2} \\d=\sqrt{(-6)^2+(7)^2} \\d=\sqrt{36+49} \\d=\sqrt{85}\approx9[/tex]