Answer:
1) La serie geométrica formada es
4, 2, 1,..., ∞
2) La suma al infinito de las áreas de los cuadrados es 8 in.²
Step-by-step explanation:
1) El área del primer cuadrado, a₁ = 2² = 4 pulgadas²
El área del siguiente cuadrado, a₂ = (√ (1² + 1²)) ² = (√2) ² = 2 pulg²
El área del siguiente cuadrado, a₃ = ((√ (2) / 2) ² + (√ (2) / 2) ²) = 1 pulg²
Por lo tanto, la razón común, r = a₂ / a₁ = 2/4 = a₃ / a₂ = 1/2
Las áreas de los cuadrados progresivos forman una progresión geométrica como sigue;
4, 4×(1/2), 4 ×(1/2)²,...,4×[tex](1/2)^{\infty}[/tex]
De donde obtenemos la serie geométrica formada de la siguiente manera;
4, 2, 1,..., ∞
2) La suma de 'n' términos de una progresión geométrica hasta el infinito para -1 <r <1 se da como sigue;
[tex]S_{\infty} = \dfrac{a}{1 - r}[/tex]
Por lo tanto, la suma de las áreas de los cuadrados hasta el infinito se obtiene sustituyendo los valores de 'a' y 'r' en la ecuación anterior de la siguiente manera;
[tex]La \ suma \ al \ infinito \ del \ cuadrado \ S_{\infty} = \dfrac{4 \ in.^2}{1 - \dfrac{1}{2} } = \dfrac{4 \ in.^2}{\left(\dfrac{1}{2} \right)} = 2 \times 4 \ in.^2= 8 \ in.^2[/tex]
La suma al infinito de las áreas de los cuadrados, [tex]S_{\infty}[/tex] = 8 in.²
(please help!! )
The diagonals of parallelogram ABCD intersect at P. Select all the statements that must be true.
A. AP¯¯¯¯¯¯ ≅ CP¯¯¯¯¯¯
B. BC¯¯¯¯¯¯ ≅ AD¯¯¯¯¯¯
C. m∠ABC=90
D. ∠CAD ≅ ∠ACB
E. ∠BPC ≅ ∠APD
Answer:
It's A, B, D, E I'm pretty sure
Step-by-step explanation:
The statements that will be true about parallelogram ABCD are: A, B, D, and E.
What are the Properties of a Parallelogram?Diagonals of a parallelogram bisect each other into congruent segments.Opposite angles and sides of a parallelogram are always congruent.Alternate interior angles are always congruent in measure.Thus, the following would be true of parallelogram ABCD:
AP ≅ CP (congruent segment's of a bisected diagonal)BC ≅ AD (congruent opposite sides)∠CAD ≅ ∠ACB (congruent angles)∠BPC ≅ ∠APD (congruent angles)Therefore, the statements that will be true about parallelogram ABCD are: A, B, D, and E.
Learn more about parallelogram on:
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The question is: find the value of that makes || . State the converse that justifies your answer.
Answer:
ответ вводит в заблуждение
The logarithm of the base to it self is always......
Answer:
Step-by-step explanation:
Logₐa = 1
Answer:
positive that is 1
Step-by-step explanation:
While the value of a logarithm itself can be positive or negative, the base of the log function and the argument of the log function are a different story.
The argument of a log function can only take positive base arguments. In other words, the only numbers you can plug into a log function are positive base numbers as it is always 1.
using the midpoint formula find the coordinates of the midpoint 9f each sigment with end points (4,2),(-5,-1)
Answer:
The midpoint of the segment is (-0.5,0.5).
Step-by-step explanation:
Midpoint of a segment:
The midpoint of a segment is given by the mean of its coordinates.
Segment with end points (4,2),(-5,-1)
x-coordinates: 4 and -5
y-coordinates: 2 and -1
x-coordinate of the midpoint:
[tex]x = \frac{4-5}{2} = -\frac{1}{2} = -0.5[/tex]
y-coordinate of the midpoint:
[tex]y = \frac{2-1}{2} = \frac{1}{2} = 0.5[/tex]
The midpoint of the segment is (-0.5,0.5).
Help me people u r my only hope!
Choose all of the values that are equivalent to -(1/3)
A. -1/3.
B. 1/-3
C. -1/-3
D. 1/3
E. -(-1/3)
Answer:
D)1/3 ?
Step-by-step explanation:
Maybe 1/3
Do some research, I guess it's D).
I hope that helps (:
1. The entire fraction is negative if the numerator or denominator are negative.
if both parts of the fraction were negative, the entire fraction would be positive (- / - = +)
2. Of course, although most teachers ask you to put the negative sign in the fraction as a whole (before the fraction line) or in the numerator. never leave a fraction with two signs. in this case, if it has two signs and they are different, the whole fraction is NEGATIVE
3) No. the whole fraction is POSITIVE only if both the numerator and the denominator have the same sign, + + or - -
step by steppleaseee
Systems of Equations
x+2y=6
5x+3y=2
Answer:
Step-by-step explanation:
-5x - 10y = -30
5x + 3y = 2
-7y = -28
y = 4
x + 8 = 6
x = -2
(-2, 4)
The figures are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number. The area of the larger triangle is 1589 ft^2
Answer:
Society of the world is a better policy than the one that has been in the last year of the year and the best ever friend a person could hope for a good friend of mine and her family is a great place to work
Negative five-fourths times a number and six is less than twelve.
Answer:
-5/4x +6 < 12
Step-by-step explanation:
go through my questions there a surprise:)
Answer:
I will do that buddy. I'll have fun
A can of soup weighs
23.5 ounces. The can contains
2.5 servings. How many
ounces are in 1 serving?
Answer:
9.4 serving
Step-by-step explanation:
23.5/2.5 = x/1
just divide 23.5 from 2.5 lol
x = 9.4
I'd be sorry if im wrong
11/25,5/25,7/25,1/25
Find the sum
Answer:
24/25
Step-by-step explanation:
[tex] \frac{11}{25} + \frac{5}{25} + \frac{7}{25} + \frac{1}{25} \\ \\ = \frac{11 + 5 + 7 + 1}{25} \\ \\ = \frac{24}{25} [/tex]
Find the values of x and y in the diagram.
Answer:
x = 3
y = 10
Step-by-step explanation:
In triangle KLN, measure of all angles are equal.
Therefore, it is an equilateral triangle.
All sides of an equilateral triangle are equal.
So,
y - 4 = 6
y = 6 + 4
y = 10
In triangle LMN, measures of angles M and N are equal, Therefore,
LM = LN
x + 3 = y - 4
x + 3 = 10 - 4
x + 3 = 6
x = 6 - 3
x = 3
1/4 + 2/3= then times that by two
Answer
1 7/12
Step-by-step explanation:
Solve using the order of operations (4 x 15) - 3
Answer:
57
Step-by-step explanation:
Answer: 57
Step-by-step explanation:
1. Calculate what's in the parentheses first
(4 * 15) = 60
(60) - 3 = ?
2. Exponents (Powers, Roots) before you Multiply, Divide, Add or Subtract
Not applicable for this problem.
3. Multiply or Divide before you Add or Subtract
Not applicable for this problem.
4. For anything else left, just go from left to right
60 - 3 = 57
If you want to remember the shortcut; PEMDAS
P - Parentheses first
E - Exponents (Powers and Square Roots, etc.)
MD - Multiplication and Division (left-to-right)
AS - Addition and Subtraction (left-to-right)
Remember that:
Divide and Multiply rank equally (and go left to right).
Add and Subtract rank equally (and go left to right)
Please help will leave good review and brainliest!
Answer:
Step-by-step explanation:
For a parallelogram the diagonals (and half diagonals are equal. So we can say
3m=m+8
2m=8
m=4
And we can also say that
3m+m+8=2n-1+9
4m+8=2n+8
4m=2n
2m=n, and since we know m=4
n=2(4)
n=8
So m=4 and n=8
Using complete sentences, describe the net of a rectangular prism with a length of 12 centimeters, a width of 9
centimeters, and a helght of 5 centimeters.
s
WRITER
Answer:
The description is as follows:
Step-by-step explanation:
The description of the net of a rectangular prism is as follows:
The length i.e. 12 centimeters would be multiplied by width of 9 and then it added to the height i.e. 5 centimeters
The above represent the description of the net of a rectangular prism
Andy Has 3 Apple's And He Gives 2 To John How Many Apple's Does Andy Have Now
Answer:
He had 3 and she gave 2 to John, Then he has 1 apple left here
Can someone please help I will give u brainliest
Answer:
it's 24.5 Sq feet
Step-by-step explanation:
if you multiply 7 × 3.5 you get the awnser
Answer:
1. 24.5ft
Step-by-step explanation:
We know the area formula is:
a= l * w so...
a = 3.5 * 7
a = 24.6ft
Hope this helps!
If the area of a rectangle is 4.5 square cm and one side is 1.5 cm long. How long is the other side
Answer:
Step-by-step explanation:
1.5x = 4.5
x = 3 cm
I hope the answer in the above picture will helps you.
A box contains four equal-sized cards labeled 1, 3, 5, and 7. Tim will select one card from the box. What is the Probability that Tim will select a card labeled with a number less than 6? Give the probability in any one of the three ways.
Answer:
3/4
Step-by-step explanation:
There are 4 total outcomes - 1,3,5 and 7.
The outcomes which are less than 6 are 1, 3 and 5. So 3/4 will be < 6.
(25 POINTS) 10. Find the sum of the arithmetic sequence. 5, 7, 9, 11, ..., 23
Answer:
Sum = 140
Step-by-step explanation:
We find all the terms, we know that every consecutive term, we add 2 until we reach 23:
Sum = 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23
Sum = 140
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Someone else has answered this look it up on brainly!!!
What is the constant of proportionality for the following table? Express your answer as a decimal.
Answer:
0.25
Step-by-step explanation:
8 x 0.25 is 2, 12 x 0.25 is 3, etc
Can someone help me with this?
use the Pythagoras theorem method
a squared plus b squared equals c square
whats 8 x 2 40 points
Answer:
Error hehehheheheh
Step-by-step explanation:
crown me please hehehhhe hahahahahh hohohoohoho points more more more more points
Which expression is equivalent to 4w – 3?
Answer:
Could you specify what other answers there are in order for me to answer this?
Step-by-step explanation:
The expression 3(1 - w) is equivalent to the given expression. The correct answer would be an option (B).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers
The expression is given in the question, as follows:
3 + w - 4w
We have to determine the equivalent expression to the given expression.
As per the question, we have
3 + w - 4w
Apply the subtraction operation in the likewise variables,
3 - 3w
Factor out 3 into the above expression, and we get
3(1 - w)
This is equivalent to the given expression.
Thus, the correct answer would be option (B).
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ6
The question seems incomplete, the complete question would be as:
Which expression is equivalent to - 3 + w - 4w?
A. 3(1 + w)
B. 3(1 - w)
C. 3(w - 1)
D. 3(w + 1)
SOMEONE PLEASE HELP WILL MARK BRAINLIEST PLEASE EXPLAIN
Answer:
a. (x+5)^2 = 49
b. (x+7)^2 = (x+1)^2
Step-by-step explanation:
So the term "a number" is always going to be x. input x into the sentences. "X plus five, then squared, is forty-nine". when they do "is __", that means equal to. In the second question, seven more than x is x + 7 (the two numbers are interchangeable here). Equivalent also means equal. hope this helped :)
Answer:
a: x + 5^2 = 49
b: 7>x^2=(put three lines not two) (1>x)^2
Step-by-step explanation:
2ײ+5y-18 if x is 5 and y is 2
the answer is 659 because if x = 5 that means 25x25 = 625
and if y = 2 then 625 + 52 = 677
and then 677-18 = 659
Problem solved
Use the given functions to find f (g(x)), and give the restrictions on x.
F(x)= 1/x-3 and g(x) = 3/x +3
F(g(x)) = ?
Where x(doesn’t = ?
Answer:
[tex]f(g(x)) = \frac{10x-9}{3 + 3x}[/tex]
Step-by-step explanation:
Given
[tex]f(x) = \frac{1}{x} - 3[/tex]
[tex]g(x) = \frac{3}{x} + 3[/tex]
Required
Find f(g(x))
If: [tex]f(x) = \frac{1}{x} - 3[/tex]
Then:
[tex]f(g(x)) = \frac{1}{3/x + 3} -3[/tex]
Solve the denominator (take LCM)
[tex]f(g(x)) = \frac{1}{\frac{3+3x}{x}} -3[/tex]
[tex]f(g(x)) = \frac{x}{3 + 3x} - 3[/tex]
It can be solved further as:
[tex]f(g(x)) = \frac{x-3(3 + 3x)}{3 + 3x}[/tex]
[tex]f(g(x)) = \frac{x-9 + 9x}{3 + 3x}[/tex]
[tex]f(g(x)) = \frac{10x-9}{3 + 3x}[/tex]
I need help with this
look at picture
Complementary angles
Answer:
x=43
Step-by-step explanation:
complementary angles will add up to equal 90 so we set up an equation to solve x
12+x+25=90
step 1 combine like terms
12+25=37 so now its
37+x=90
step 2 we subtract each side by 37
90-37=43
x=43
hope this helps and have a great day :)
Answer:
53°
Step-by-step explanation:
Complementary angle = 90°
So, 12° + (x+25°) = 90°
Subtract 12 from both sides
x+25°=78°
Subtract 25 from both sides
x=53°
