Answer:
6m
Step-by-step explanation:
The ratio of the length and the breadth of rectangle=2:1
Let length be 2x, then breadth = x
Now,
Length(l)=12 m
or,2x=12m
or,x=6m
x=breadth=6m
You work for a roofing company and must order the correct number of tiles to complete the final side of the roof. It is in the shape of a trapezoid. The numbers of tiles in each row form a sequence. We know we will have 20 rows to complete the job. The first row has ten tiles. Each row has two more tiles than the previous row. Is this sequence arithmetic or geometric?
Answer:
ljj
Step-by-step explanation:
llk
Yes , the series is an arithmetic sequence of common difference 2
What is Arithmetic Progression?
An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the number of terms n = 20
The number of tiles in the first row = 10 tiles
The number of tiles in the second row = 2 more than first row
The number of tiles in the second row = 12 tiles
The number of tiles in the third row = 14 tiles
So , the sequence will be , 10 , 12 , 14 , 16 ...
The number of terms n = 20
The first term a = 10
The common difference d = second term - first term
The common difference d = 12 - 10 = 2
The series is an arithmetic sequence and the 20th term of the sequence will be
a₂₀ = a + ( n - 1 )d
a₂₀ = 10 + ( 19 ) 2
a₂₀ = 10 + 38
a₂₀ = 48 tiles
Hence , the series is an arithmetic sequence
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Explain the steps necessary to convert a quadratic function in standard form to vertex form.
Step-by-step explanation:
A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it.
I need help ASAP!!!Please explain how to solve the problem.
Answer:
the eqn is
[tex] {(x - 1)}^{2} + {(y - 1)}^{2} = 16[/tex]
expand the decimal number 453682
0.453682
= 0.4+0.05+0.003+0.0006+0.00008+0.000002
453682.0
= 400000+50000+3000+600+80+2+0.0
Must click thanks and mark brainliest
How do I solve problems like this? I did it last year, but I don't remember how to do it.
Solve for x:
1/2x + 3 = 7
2x + 3 - 4x - 7 = 11
thanks!!
Answer:
8
Step-by-step explanation:
I do not know the details of the work but if it's a simple "Solve for x" question, you're not quite right.
1/2x+3=7
1/2x= 4
x= 8
Which statement is true regarding the functions on the
graph?
O f(-3) = g(4)
Of(-4) = g(-3)
Of(-3) = g(-3)
Of(-4) = g(-4)
Answer: C
Step-by-step explanation:
intersection of f(x) and g(x) is x=-3
f(-3)=g(-3)
Answer C
Answer:
The answer is f(-3)=g(-3)
Step-by-step explanation: just took the test hope it helps❤️
Algunos granos de maíz al ser calentados revientan y pierden agua de manera explosiva.
En promedio se puede considerar que tienen una masa de 125 mg y cuando explotan (palomitas
de maíz) su masa es de 106 mg. ¿Cuántos granos de maíz pira se requerirán para obtener una
libra de palomitas de maíz?
Answer:
Step-by-step explanation:
4280 granos de maíz pira se requerirán para obtener una libra de palomitas de maíz.
CálculoDado que algunos granos de maíz al ser calentados revientan y pierden agua de manera explosiva, y en promedio se puede considerar que tienen una masa de 125 mg y cuando explotan (palomitas de maíz) su masa es de 106 mg, para determinar cuántos granos de maíz pira se requerirán para obtener una libra de palomitas de maíz se debe realizar el siguiente cálculo:
453592 mg = 1 lb453592 / 106 = X4279.16 = XPor lo tanto, 4280 granos de maíz pira se requerirán para obtener una libra de palomitas de maíz.
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-3z-z
HELP PLZ
Hahsjsjsnsksns snskskd
Answer:
-4z
Step-by-step explanation:
-3z-z
= -4z
Answer:
-4
Step-by-step explanation:
[tex] - 3z - z[/tex]
[tex] - 3z - 1z[/tex]
[tex]( - 3 - 1)z = - 3 - 1[/tex]
[tex] - (3 - 1)[/tex]
[tex] = - 4z[/tex]
I don’t understand 20,27,29
Answer:
alright I can help!
for 20: let's first say the equation to figure out if it is a right triangle (the pythagorean theorem). so a^2 + b^2 = c^2 -> 2^2 + 2^2 =3^2 -> 4+4=9 does not equal out so 20 is not a right triangle.
for 27: the equation for area is (height×base)/2 -> (2×4)/2 -> area = 4
for 29: so let's find the circumference first. the equation is 2× pi × r -> 2× pi × 5 -> circumference = 10pi or about 31.42.
so now we can find the area of the circle. the equation is pi × r^2 -> pi × 5^2 -> area of circle= 25pi or about 78.54
hope this helps!! best wishes and best of luck!
Factorise x(6x - 5y) - 4(6x - 5y)^2
Answer:
(6x-5y)(20y-23x)
Step-by-step explanation:
x(6x - 5y) - 4(6x - 5y)^2
= (6x-5y)(x-4(6x-5y))
= (6x-5y)(x-24x+20y)
= (6x-5y)(20y-23x)
Instead of using the values {1,2,3,4,5,6}
on dice, suppose a pair of dice have the
following: {1,2,2,3,3,4} on one die and
{1,3,4,5,6,8} on the other. Find the
probability of rolling a sum of 2 with
these dice. Be sure to reduce.
[?]
Answer:
1/36
Step-by-step explanation:
it is the exact same as if both your dice had the numbers {1,2,3,4,5,6}
you said the SUM of the dice that is indicates the answer of the addition of two (or for that matter more) numbers,... the only numbers that would sum 2 is 1+1,... and because you only have two ones (one per die) the answer is the same as if they where die with normal numbers,...
The probability of rolling a sum of 2 with these dice is 1/36.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Pair of dice have= {1,2,2,3,3,4}
Now,
The probability of rolling a sum of 2 with two dice is the same as the probability of rolling snake eyes, since the only way to get a sum of 2 is if both dice show a 11. The probability of rolling a 1 on a single die is 1/6, so the probability of rolling a 1 on both dice is (1/6) × (1/6) = 1/3612.
However, in this case, the dice are not standard six-sided dice, but have different numbers on their faces. The first die has {1,2,2,3,3,4} and the second die has {1,3,4,5,6,8}. The probability of rolling a 1 on the first die is still 1/6, but the probability of rolling a 1 on the second die is also 1/6. Therefore, the probability of rolling a sum of 2 with these dice is still (1/6) × (1/6) = 1/36.
This probability cannot be reduced any further, since 1 and 36 have no common factors other than 1.
Therefore, the probability will be 1/36.
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Please help me get the answers
Answer:
1. (4)
2. (2)
Step-by-step explanation:
NEED HELP ASAP!!!!!!!
A right circular cone is intersected by a plane that runs parallel to the base of
the cone, as in the picture below. What object is produced from this
intersection?
O A. Parabola
O B. Hyperbola
O C. Circle
O D. Ellipse
Hellppppp pls
yesterday the temperature was 1 degree farenheit. today the temperature is 0 degree farhenheit. what is the change in tempeature from yesterday to today
Answer:
It is one degrees colder
Under his cell phone plan, Christopher pays a flat cost of $52 per month and $5 per
gigabyte. He wants to keep his bill at $75 per month. Which tape diagram could be
used to represent the context if x represents the number of gigabytes of data
Christopher can use while staying within his budget?
According to the given information, the tape diagram shown in option C is correct.
Use the concept of inequality defined as:
An inequality is a mathematical statement that uses the inequality symbol to indicate the relationship between two expressions. Both sides of an inequality sign have different expressions.
Given that,
The cost per month = $52
The cost per gigabyte = $5
He wants to keep his bill at $75 per month.
According to the given information the inequality expression be:
52 + 5x ≤ 75
Since now let x = 3
The LHS be:
52 + 15 = 67 < 75
Therefore,
The correct combination be:
52 + 5 + 5 + 5 < 75
Hence,
The tape diagram shown in option C is correct.
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Factor the polynomial and explain answer
Hi there!
[tex]\large\boxed{(n - 8)(n + 5)}[/tex]
n² - 3n - 40
Find two numbers that sum up to -3 and multiply into -40. We get:
-8, 5
Thus:
(n - 8)(n + 5)
what is the answer for 7 to the negitive second power.
Answer:
the negative just tell you you put a one over the number. Once that's done, the power will be positive, and you can square like normal
Are you asking about [tex]7^{-2}[/tex] ?
If so:
A negative in the exponent tells us that we must take the reciprocal of the number, in this case, 7, and then use the exponent like normal:
[tex]7^{-2}[/tex] =
[tex](\frac{1}{7})^{2}[/tex] =
[tex]\frac{1}{49}[/tex],
So our answer is 1/49.
this math question is about logarithm
Answer:
(k+2h)/(k+h)
Step-by-step explanation:
log 6 12 = (log a 12)/(log a 6) ( Log base change property)
log a 12 = log a (3*4) = log a 3 + 2*log a 2 = k+2h
log a 6 = log a (2*3) = log a 3 + log a 2 = k+h
log 6 12 = (k+2h)/(k+h)
Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.)
x + y = 0, x = -0, y = 0
0 Quadrant I
Quadrant II
Quadrant III
Quadrant IV
none of these
Simple Algebra problem. Includes the x and y axis. Also need help finding the perimeter.
Answer:
31.5cm²
Step-by-step explanation:
area of a triangle =1/2 b h
b= 7cm
h=9cm
1/2×7×9
= 1/2×63
= 31.5cm²
hypotenuse is unknown so,
c²=a²+b²
c²= 7² + 9²
= 49 + 81
c²= 130
c= 11.4cm
perimeter= 7 +9+11.4
=27.4cm
pls note that no unit was stated
plese help asap!!! .................
Answer:
what do you need to find? Area? perimeter?
Step-by-step explanation:
If a+b+c = 0 then a3 + b3 + c3 is equal to
a.abc
b.0
c.3abc
d.9abc
Find an equation of the line having the given slope and containing the given point m= - 8, (2,5) The equation of the line is y= (Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression)
Answer:
Equation of line is y = -8x + 21
Step-by-step explanation:
Slope, m = -8
General equation of line:
[tex]{ \boxed{ \bf{y = mx + c}}}[/tex]
At point (2, 5), y = 5 and x = 2:
[tex]{ \tt{5 = ( - 8 \times 2) + c}} \\ { \tt{c = 21}}[/tex]
Therefore:
[tex]{ \sf{y = - 8x + 21}}[/tex]
[tex]{ \underline{ \blue{ \sf{christ \:† \: alone }}}}[/tex]
an apartment in rome is 98 m^2, how many square feet is the apartment?
Please show work
Answer: 9,604 m Is the answer
round 53642 to its tens place
Answer:
53640
Step-by-step explanation:
A. 110
B. 90
C. 135
D. 45
Answer:
answer is
D. 45. hhhisukwk
How many solutions does the system have? y=-5x+1 y=1-5x
Answer:
infinite solutions
they're the same equation lmao
Answer:
Infinitely many solutions
because it is the correct answer
What is the slope of the line containing (-2, 5) and (4,-4)?
O A. 3/2
O B. -2
O C -3/2
O D. 2
Answer:
Option C is correct.
Step-by-step explanation:
[tex]slope \: = \: \frac{y2 - y1}{x2 - x1} [/tex][tex] = \frac{ - 4 - (5)}{4 - (2)} [/tex][tex] = \frac{ - 9}{4 + 2} [/tex][tex] = \frac{ - 9}{6} [/tex][tex] = \frac{3( - 3)}{3 - 2} [/tex][tex] = - \frac{3}{2} [/tex]Hope it is helpful....What is the equation of the line that passes through the point (4,-7) and has a
slope of - ?
Answer:
Submit Answer
PLS HELP
Answer:
[tex]y = -\frac{1}{2} x -5[/tex]
point slope form....
y - (-7) = -1/2(x-4)
y + 7 = -x/2 + 2
2y + 14 = -x + 4
2y = -x -10
y = -1/2 x - 5
Step-by-step explanation:
