Answers
Answer:
n = 7
Step-by-step explanation:
[tex]Area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 12 = \frac{1}{2} \times (n + 5) \times (n + 5 - 10) \\ \\ 12 \times 2 = (n + 5)(n - 5) \\ \\ 24 = {n}^{2} - {5}^{2} \\ \\ 24 = {n}^{2} - 25 \\ \\ 24 + 25 = {n}^{2} \\ \\ {n}^{2} = 49 \\ \\ n = \pm \: \sqrt{49} \\ \\ n = \pm \: 7 \\ \\ n = - 7 \: \: or \: \: n = 7 \\ [/tex]
Answer:
n = -7 ∪ 7
=> n = |7|
Step-by-step explanation:
S = 12cm = (n + 5) * (n + 5 - 10) / 2
[tex]S = 12cm = \frac{(n + 5) * (n + 5 - 10)}{2}\\\\=> 12 = \frac{(n+5)(n-5)}{2} \\12 = \frac{n^2-25}{2} \\24 = n^2 - 25\\-n^2 = -25 - 24\\-n^2 = - 49\\n^2 = 49\\n = |7| =>\\ x_1 = -7\\x_2 = 7\\[/tex]
Related Questions
YEAR 9 MATHS- SEQUENCES
Here are the first five terms of a linear sequence.
9 15 21 27 33 ...
Work out the nth term
Answers
Answer:
see below
Step-by-step explanation:
This is an arithmetic sequence. The explicit formula for an arithmetic sequence is aₙ = a₁ + (n - 1)d where a₁ is the first term and d is the common difference. In this case a₁ = 9 and d = 6 so we have:
aₙ = 9 + (n - 1) * 6
aₙ = 9 + 6n - 6
aₙ 6n + 3
What additional piece of information must be known in order to calculate the volume of the cylinder below?
A cylinder with radius of 7 inches.
the diameter of a base
the height of the cylinder
the area of a base
the radius of a base
Answers
The formula for the volume of a cylinder is V= pi * r^2 * h
Answer:
height of the cylinder
Step-by-step explanation:
The measure of c is?
Answers
[tex]answer \\ \sqrt{208} \\ solution \\ hypotenuse = c \\ perpendicular = 8 \\ base = 12 \\ using \: pythagoras \: theorem \\ {h}^{2} = {p}^{2} + {b}^{2} \\ or \: {c}^{2} = {8}^{2} + {12}^{2} \\ or \: {c }^{2} = 64 + 144 \\ or \: {c}^{2} = 208 \\ c = \sqrt{208} \\ hope \: it \: helps[/tex]
2 next to or in parentheses next to a number represents squared
Explanation:
formula - a2 + b2 = c2
12(2) + 8(2) = c2
144 + 64 = c2
208(2) or square rooted
14.422
What is the solution to this equation?
x + 13 = 34
A. X = 47
B. x= 19
o
C. x = 27
D. x= 21
SUBM
Answers
d. 21
Explanation:
Step 1 - Subtract 13 from both sides
x + 13 = 34
x + 13 - 13 = 34 - 13
x = 21
Answer:
21
Step-by-step explanation:
since we are looking for the value of x, we make it the subject of the formula(stand alone) and to do that + 13 would have to cross over the equality sign.when a positive number crosses over the equality sign it changes to a negative number .
Therefore,x +13=34
x=34 -13
x=21(d)
Simplify the following as much as possible:
6a – 3a + 9a
Answers
Answer: 12a
Step-by-step explanation:
All we need to do is combine the like terms. Which all of them have the common variable a so we can add and subtract them together.
6a - 3a + 9a
Working left to right according to pemdas we can subtract first.
3a + 9a
Now add.
12a
That is as far as we can simplify.
plz, help. plzzzzzzzzzzzzz
Answers
Answer:
[tex]Area = 26.75 \:units^2[/tex]
Step-by-step explanation:
[tex]Area =\:\frac{\left(3.5\right)\left(2+2+5\right)}{2}+\frac{\left(2\right)\left(2\right)}{2}+\left(2\cdot 2\right)+\frac{\left(2\right)\left(5\right)}{2}\\\\=26.75[/tex]
The number of newly reported crime cases in a county in New York State is shown in
the accompanying table, where x represents the number of years since 2001, and y
represents number of new cases. Write the linear regression equation that represents
this set of data, rounding all coefficients to the nearest hundredth. Using this
equation, find the projected number of new cases for 2013, rounded to the nearest
whole number.
Answers
The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].
The projected number of new cases for 2013 is 1352.
Given that,
The number of newly reported crime cases in a county in New York State is shown in the accompanying table,
Where x represents the number of years since 2001, and y represents number of new cases.
We have to determine,
The linear regression equation that represents this set of data.
And Using this equation, find the projected number of new cases for 2013.
According to the question,
The line of best-fit is given by:
[tex]y = bx+a[/tex]
Assume [tex]y = kx + b[/tex]
And,
[tex]k = \dfrac{change \ in \ y} {change \ in \x }\\\\k = \dfrac{1194-1086}{5-0}\\\\k = \dfrac{108}{5}\\\\k = 21.6[/tex]
Then, pass from the point (3, 1158),
[tex]y = kx + b \\\\1158 = 21.6 \times 3 + b \\\\1158 = 64.8 +b \\\\b = 1158 - 64.8\\\\b = 1093.2[/tex]
Then ,
The projected number of new cases - the number of years since 2001
[tex]= 2013-2001 \\\\= 12[/tex]
Therefore,
[tex]y = 21.6\times 12 + 1093.2\\\\y = 259.2 + 1093.2 \\\\y = 1352.4\\\\y = 1352 \ approx[/tex]
Hence , The required linear regression equation is [tex]y = 21.6x + 1093.2[/tex].
And The projected number of new cases for 2013 is 1352.
To know about Probability click the link given below.
https://brainly.com/question/20154478
simplify 36x^2/64x^2y
Answers
Answer: 3/4
Step-by-step explanation:
1. square root the denominator and nominator, 36= 6 and 64= 8
2. put them together (6/8)
3. simplify 6/8
4. 6/8 divided by 2
5. 3/4 is your answer
64=4*16
Cancel the 4 out of both, you are left with 9x^2/16y^2
Quien me puede dar.El resultado por favor 4. Resuelvo las siguientes situaciones problemáticas. En el depósito de materiales "Che rogarã" se venden tejuelones en: • paquetes de 15 tejuelones. • paquetes de 50 tejuelones. • y sueltos hasta 9 tejuelones. a. Estela pidió 138 tejuelones y le entregaron: 2 paquetes de 50, también 2 paquetes de 15 y 3 sueltos, ¿Cuántos tejuelones le entregaron a Estela? ¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado? Datos Operación Respuesta: b. Don Antonio el constructor de la comunidad pidió: 3 paquetes de 50 tejuelones, también 4 paquetes de 15 tejuelones y 7 sueltos. ¿Cuántos tejuelones llevó Don Antonio? Datos solu
Answers
Answer:
a. A Estela le entregaron (100 + 30 + 3) tejuelones = 133 tejuelones y aún necesita (138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido. b. Don Antonio llevó (150 + 60 + 7) tejuelones = 217 tejuelones.
Step-by-step explanation:
Parte a¿Cuántos tejuelones le entregaron a Estela? ¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado?
Datos
Pedido de Estela:
138 tejuelones.
Le entregaron:
Dos (2) Paquetes de 50 tejuelones.
Dos (2) Paquetes de 15 tejuelones.
Tres (3) Sueltos.
Operación
Para determinar cuántos tejuelones le entregaron a Estela, efectuamos las siguientes operaciones para determinar el número de tejuelones que le entregaron:
Dos (2) Paquetes de 50 tejuelones
2 * 50 tejuelones = 100 tejuelones
Dos (2) Paquetes de 15 tejuelones
2 * 15 tejuelones = 30 tejuelones
Es decir, multiplicamos el número de paquetes por la cantidad de tejuelones que trae cada uno.
Ahora sumamos el total de ambas cantidades y le adicionamos los tres (3) tejuelones sueltos:
(100 + 30 + 3) tejuelones = 133 tejuelones.
Pero Estela pidió 138 tejuelones, así que aún necesita:
(138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido realizado.
Respuestas
¿Cuántos tejuelones le entregaron a Estela?
A Estela le entregaron (100 + 30 + 3) tejuelones = 133 tejuelones.
¿Cuántos tejuelones es la diferencia para que Estela reciba todo el pedido realizado?
Estela aún necesita (138 - 133) tejuelones = 5 tejuelones para que reciba todo el pedido.
Parte b¿Cuántos tejuelones llevó Don Antonio?
Datos
Pedido de Don Antonio
Tres (3) paquetes de 50 tejuelones.
Cuatro (4) paquetes de 15 tejuelones.
Siete (7) tejuelones sueltos.
Operaciones
Para determinar cuántos tejuelones le entregaron a Don Antonio, debemos multiplicar el número de paquetes por la cantidad de cada uno y sumar los siete (7) tejuelones sueltos, es decir, seguimos el mismo procedimiento de la pregunta anterior.
Tres (3) paquetes de 50 tejuelones
3 * 50 tejuelones = 150 tejuelones.
Cuatro (4) paquetes de 15 tejuelones
4 * 15 tejuelones = 60 tejuelones.
Ahora sumamos estas cantidades y le adicionamos los siete (7) tejuelones sueltos:
(150 + 60 + 7) tejuelones = 217 tejuelones.
Respuesta
¿Cuántos tejuelones llevó Don Antonio?
Entonces, considerando los resultados anteriores, tenemos que Don Antonio llevó (150 + 60 + 7) tejuelones = 217 tejuelones.
what we will call the complete path of the circle
Answers
Answer:
True.
Step-by-step explanation:
The circumference is the perimeter of a circle. The complete path around the circle is called the circumference.
Answer:
True
The distance around the circle makes up the circumference.
Joshua makes earrings to sell at craft fairs. Each pair of earrings contains the same number of wooden beads as glass beads. For each pair, Joshua spends a total of $0.29 on the wooden beads and $0.11 on the glass beads. How many pairs of earrings, x, can Joshua make if he has $20 to spend on beads?
Answers
Answer: 50 pairs.
Step-by-step explanation:
For each pair of earrings, Joshua spends $0.29 + $0.11 in materials.
So he spends $0.40 for each pair of earrings.
If he has $20, we want to know how many times he can spend $0.40.
For this, we take the quotient:
$20/$0.40 = 50
This means that we can sperate $20 into 50 times $0.40.
So he can buy enough material to make 50 pairs of earrings.
An Airbus has 1 first class section, 1 business-class section and 4 economy-class sections. The first class section has 14 seats. 5/7 are being used. The business-class section has 64 seats. 5/16 are being used. Each economy-class section has 108. 5/9 in each section are being usd. Are more than half seats on the plane being used? Yes Or No Show your working.
HELP!!!!!!!
Answers
Answer:
first class section has 14 Seats
Seat used = (5/7) * 14 = 10 Seats
Business class Section has 64 Seats
Seats used = (5/16) * 64 = 20 Seats
Economy class Section has 4 * 108 = 432 Seats
Seats used = (5/9) * 432 = 240 Seats
Total Seats = 14 + 64 + 432 = 510
Total Seats Used = 10 + 20 + 240 = 270
270/510 = 270 ( 2 * 255) > 1/2
Yes , more than half of the seats being used
Step-by-step explanation:
The formula for the area of a triangle is , where b is the length of the base and h is the height.
Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.
3 units
5 units
8 units
9 units
Answers
Answer:
5 units
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
30 = 1/2 (12)h
Multiply
30 = 6h
Divide each side by 6
30/6 = 6h/6
5 = h
Answer:
5 units
Step-by-step explanation:
Next time please supply the formula, which was apparently given in this question:
A = (1/2)(base)(height)
Here, A = 30 units^2 = (1/2)(12 units)(height), or
30 units^2 = (6 units)(height)
Solving for (height), we get
30 units^2
(height) = ------------------ = 5 units
6 units
The height is 5 units
Determine the value of
f(2) when
f(x)=x² - 5x+2
Answers
Answer:
-4
Step-by-step explanation:
Substitute [tex]x = 2[/tex] in to the function
[tex]f(2) = 2^2 -5(2) + 2[/tex]
= -4
An online retail company tracked total number of purchases monthly. In June 2007 they were 4,500 purchases and in September 2008 there were 5,100. The purchases followed a linear model of the form p = S ( t ) = r t + i where p purchases is in 1000's and t is months where January 2007=0
Answers
The linear model for the number of purchases over time is:
p = 0.043t + 3.726
We have,
Let's assign the variable t as the number of months since January 2007, where t = 0 corresponds to January 2007.
Given data:
June 2007: p = 4,500 (in thousands, so p = 4.5)
September 2008: p = 5,100 (in thousands, so p = 5.1)
We can use these data points to set up a system of equations to solve for the slope (r) and the intercept (i) in the linear model p = rt + i.
Using the data points,
4.5 = r(18) + i (June 2007 corresponds to 18 months after January 2007)
5.1 = r(32) + i (September 2008 corresponds to 32 months after January 2007)
Solving this system of equations will give us the values of r and i.
Subtracting the second equation from the first equation:
4.5 - 5.1 = r(18) - r(32)
-0.6 = -14r
r = -0.6 / -14
r = 0.043
Substituting the value of r into one of the equations:
4.5 = 0.043(18) + i
4.5 = 0.774 + i
i = 4.5 - 0.774
i = 3.726
Therefore,
The linear model for the number of purchases over time is:
p = 0.043t + 3.726
Learn more about expressions here:
https://brainly.com/question/3118662
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Dream Studio offers 5 music lessons for $60. Fox Studio offers 8 music lessons for $72. What is the cost per lesson at each studio? What studio offers a better deal? Why?
Answers
Dream Studio offers music lessons at $12 per lesson. Fox Studio offers music lessons at $9 per lesson. The better deal here would be Fox Studio. This is because Fox Studio offers cheaper lessons. For eight lessons at Dream Studio it costs $96, where as eight lessons at Fox Studio costs only $72.
Explanation:
Step 1 - Find the cost per lesson at Dream Studio
60 / 5 = 12
So, $12 per music lesson at Dream Studio.
Step 2 - Find the cost per lesson at Fox Studio
72 / 8 = 9
So, $9 per music lesson at Fox Studio.
Step 3 - Find out which offers a better deal
•Dream Studio = $96 for eight music lessons
• Fox Studio = $72 for eight music lessons
Can anyone help me please.
Answers
[tex]answer \\ 26 \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
The slope-intercept form of the equation of a line that passes through the point (–2, –13) is y = 5x – 3. What is the point-slope form of the equation for this line?
y – 13 = 5(x – 2)
y + 13 = 5(x + 2)
y – 2 = 5(x – 13)
y + 2 = 5(x + 13)
Answers
Answer:
y+13 = 5(x+2)
Step-by-step explanation:
y = 5x – 3
This is in slope intercept form y = mx+b so the slope is m which is 5
We have a slope and a point ( -2, -13)
Point slope form is
(y-y1) = m(x-x1)
y - -13 = 5(x--2)
y+13 = 5(x+2)
Answer:
He is right
Step-by-step explanation:
I just took the quiz on edu
Find M a
A.
49
B.
35
C.
95
D.
275
Answers
Answer:
85
Step-by-step explanation:
The sum of the angles of a triangle are 180 degrees
A + B+ C = 180
A +72+ 23 = 180
Combine like terms
A + 95 = 180
Subtract 95 from each side
A +95-95 = 180-95
A =85
Find the area of the figure. If needed, round to the nearest tenth.
Isosceles trapezoid
An isosceles trapezoid with bottom base length of 8 feet, top base of 4 feet, and height of 3 feet.
a.
36 sq. ft
b.
18 sq. ft
c.
15 sq. ft
d.
16 sq. ft
Please select the best answer from the choices provided
Answers
Answer:
[tex]18 \:ft^2[/tex]
Step-by-step explanation:
The area of a trapezoid.
[tex](a+b)h\frac{1}{2}[/tex]
[tex](8+4)3 \times \frac{1}{2}[/tex]
[tex](12)3 \times \frac{1}{2}[/tex]
[tex]36 \times \frac{1}{2}[/tex]
[tex]=18[/tex]
Can someone plz help me out! With this problem I really need help ASAP! I will mark you as brainiest! Help help ASAP!
Answers
Answer:
Complement 60 Supplement 150
Step-by-step explanation:
the complementary angle is an angle that is added to your original angle of 30° to get 90°
Complementary Angle = 90 - 30°
Complementary Angle = 60°
The supplementary angle is an angle that is added to your original angle of 30° to get 180°
Supplementary Angle = 180 - 30°
Supplementary Angle = 150°
what is the definition of congruent
Answers
Answer:
more ... The same shape and size, but we are allowed to flip, slide or turn. In this example the shapes are congruent (you only need to flip one over and move it a little). Angles are congruent when they are the same size (in degrees or radians). Sides are congruent when they are the same length.
Step-by-step explanation:
happy to help ya:)
Answer:
Congruent means two or more objects that are the same. All angles and sides have to be the same length and measure.
Step-by-step explanation:
congruent means equal two
john has × marbles and max has twice as many.max give gives john 5 of his marbles does max now have
Answers
Answer: 2x -5
Step-by-step explanation:
Hi, to answer this question we have to write equations with the information given:
John has × marblesJohn=x
Max has twice (multiplied by 2) as many.max give gives john 5 of his marbles.We have to multiply by 2 the number of marbles that John has (x), and subtract 5.
Max = 2x -5
Feel free to ask for more if needed or if you did not understand something.
PLEASE HELP WILL MARK BRAINLIEST
What is the location of A on the decimal number line below?
Write your answer as a decimal.
Answers
Answer:
2.6
Step-by-step explanation:
A is after the 6th of 10 spaces between 2 and 3. It has the value 2 +6/10 = 2.6.
what is the area of this circle?
Answers
Answer:
69.08
Step-by-step explanation:
Area equals pi r times 2
A equals 3.14 times 11 times 2
Step-by-step explanation:
area of circle = pi r^2
area = 22/7 × 11yd× 11yd
area = (2662yd^2)/7
area = 380.3 yd^2
how to find what is force if pressure and are is given please answer I will mark brainiest
Answers
Answer: Pressure and force are related, and so you can calculate one if you know the other by using the physics equation,
P = F/A. Because pressure is force divided by area,
its meter-kilogram-second (MKS) units are newtons per square meter,
or N/m2.
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!
Answers
Answer:
D
Step-by-step explanation:
A is not true because from the graph, they make less money at $13 compared to $10 even though 13 > 10. B isn't true either because when the app price is more than $7 the profit decreases, not increases. D is true because the y-coordinate of the vertex (which is the maximum in this case) is about 40 million, and if we know the maximum already we know that C is false because 40 ≠ 7.
Find the length of the hypotenuse. The measure of the hypotenuse?
Answers
Answer:
Since it's a right angled triangle
Hypotenuse = h
h² = 7²+24²
h= √49 + 576
h = √625
h= 25
Therefore hypotenuse is 25
Hope this helps.
Answer & Step-by-step explanation:
First, we must know the Pythagorean Theorem.
a² + b² = c²
a = 24
b = 7
Now, let's plug in these numbers into the formula.
24² + 7² = c²
Simplify the exponents.
576 + 49 = c²
Add 576 and 49 together.
625 = c²
Square root the terms on both sides of the equation.
√625 = √c²
Simplify the square roots.
25 = c
The length of the hypotenuse is 25 units.
if f(x) is 5x-4 and g(x) is 4x+1 then what is (f-g)(x)
Answers
Answer:
Step-by-step explanation:
5x - 4 - (4x + 1)
5x - 4 - 4x - 1
x - 5
Can I have the answer to this?
Answers
Answer:
∛2 can be written as [tex]2^\frac{1}{3}[/tex]. The way i like to remember how to write fractional exponents is that the index of the radical (3 in this case) is the denominator of the fractional exponent and the power of the number inside the radical (1 in this case) is the numerator.
Answer:
2 1/3 is the answer
Step-by-step explanation:
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