Answer:
si
Step-by-step explanation:
cuando sumamos la medida de un ángulo en el par con el otro ángulo en el par, el total será 180 grados.
No, the student is not correct. Because sum of a pair of adjacent angles not always sum up to 180°.
What are adjacent angles?Adjacent angles are those angles that are always placed next to each other in such a way that they share a common vertex and a common side but they do not overlap each other.
The sum of the measures of a pair of adjacent angles can be any number, including 180 degrees, but it does not have to be 180 degrees.
No, the student is not correct. Because sum of a pair of adjacent angles not always sum up to 180°.
To learn more about the adjacent angles visit:
https://brainly.com/question/12838185.
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Write the explicit formula for the sequence below and use it to find the 16th term:
6, -24, 96, -384, . . .
Given:
The sequence is:
[tex]6, -24, 96, -384,...[/tex]
To find:
The explicit formula for the given sequence and then find the 16th term.
Solution:
We have,
[tex]6, -24, 96, -384,...[/tex]
The ratio between two consecutive terms are:
[tex]\dfrac{-24}{6}=-4[/tex]
[tex]\dfrac{96}{-24}=-4[/tex]
[tex]\dfrac{-384}{96}=-4[/tex]
The given sequence has a common ratio. So, the given sequence is a geometric sequence with first term 6 and common ratio [tex]-4[/tex].
The explicit formula of a geometric sequence is:
[tex]a_n=ar^{n-1}[/tex]
Where, a is the first term and r is the common ratio.
Putting [tex]a=6, r=-4[/tex] in the above formula, we get
[tex]a_n=6(-4)^{n-1}[/tex]
We need to find the 16th term. So, put [tex]n=16[/tex] in the above formula.
[tex]a_n=6(-4)^{16-1}[/tex]
[tex]a_n=6(-4)^{15}[/tex]
[tex]a_n=6(-1073741824)[/tex]
[tex]a_n=-6442450944[/tex]
Therefore, the explicit formula for the given sequence is [tex]a_n=6(-4)^{n-1}[/tex] and 16th term of the given sequence is [tex]-6.442450944[/tex].
Pls I need this before midnight (USA)
Answer:
I can’t post an image, but I’ll explain below
Step-by-step explanation:
Start at a point where the line crosses through a coordinate exactly, like (0,1), and find a second one. Draw a line from the first to the right until it’s over the second point, then go down to the second point. It should look like half of a rectangle. Just follow the lines of the graph :)
The diameter of a circle is 22 centimeters. What is the circle's circumference?
Hi there!
»»————- ★ ————-««
I believe your answer is:
Around 69.08 centimeters.
»»————- ★ ————-««
Here’s why:
[tex]\text{Circumference of a Circle:}\\\\C=2\pi r\\\\\boxed{\text{Key:}}\\\\\text{r - radius}[/tex]
⸻⸻⸻⸻
The diameter is given. The radius is 11 cm.Recall that the radius is half the diameter.⸻⸻⸻⸻
[tex]\boxed{\text{Finding the Circumference:}}\\\\\text{I am using 3.14 for pi.}\\--------\\\rightarrow C=2(3.14)11\\\\\rightarrow C=6.28*11\\\\\rightarrow\boxed{69.08}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
for the same girl again plz.
Answer:
Option A is correct
Step-by-step explanation:
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
Hope it is helpful...Which expression is equivalent to
Find the 6th term in the
sequence.
5, 20, 80,...
Hint: Write a formula to help you.
1st ferm - Common Ratio desired term - 1)
Answer:
5,120
Step-by-step explanation:
5x4=20
20×4=80
80x4=320
320x4=1,280
1,280x4=5,120
Hope this helps! :)
Answer:
Step-by-step explanation:
first term a=5
common ratio r=20/5=4
[tex]a_{n}=ar^{n-1}\\a_{6}=5(4)^{6-1}\\=5(4)^5\\=5120[/tex]
a small plane lands at a point 324 miles east and 92 miles north of the point at which it took off. Find the distance the plane flew and the direction
Answer: 336.80 miles, [tex]15.85^{\circ}[/tex] North of east
Step-by-step explanation:
Given
Plane lands at a point 324 miles east and 92 miles north
Distance is given by using Pythagoras theorem
[tex]\Rightarrow d=\sqrt{324^2+92^2}\\\\\Rightarrow d=\sqrt{113,440}\\\\\Rightarrow d=336.80\ \text{miles}[/tex]
Direction is given by using figure i.e.
[tex]\Rightarrow \tan \theta=\dfrac{92}{324}\\\\\Rightarrow \tan \theta=0.2839\\\\\Rightarrow \theta=15.85^{\circ}[/tex]
Direction is [tex]15.85^{\circ}[/tex] North of east
Please help thanks! Brainliest
Answer:
-10
Step-by-step explanation:
[tex]\frac{9^{2} -21}{-6} \\=-\frac{81-21}{6} \\=-\frac{60}{6} \\=-10[/tex]
a cell phone plan charges a base fee of $62 and an overage charges $30 per gigabyte of data that exceeds 2 GB
there are 6 pink beads and 44 purple beads on olives necklace. What is the ratio of the number of pink beads to the total number beads.
Answer:
Step-by-step explanation:
3:22
Answer:
6/50
Step-by-step explanation:
using probability
pink beads = 6
total beads = 44 + 6
= 50
6/50
3/25
therefore ratio
3 : 25
Maya spent her allowance on playing an arcade game a few times and riding the Ferris wheel more than once.
Write about what additional information you would need to create a two-variable equation for the scenario. What kind of problem could you solve with your equation?
Answer:
Sample Response: To write a two-variable equation, I would first need to know how much Maya’s allowance was. Then, I would need the cost of playing the arcade game and of riding the Ferris wheel. I could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. My variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation I could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.
Answers are cost of Arcade game per play and cost of each ferry ride and we can solve.
What is Solution to Equation?An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
Maya used some of her allowance to ride the ferris wheel and play a few rounds of an arcade game.
We could develop a two-variable equation if we knew the total allotment, the cost of each arcade game played, and the cost of each ferry ride.
We can solve the equations to determine how many times Maya visited the Ferris wheel and how many times she played arcade games.
Learn more about Equation here:
https://brainly.com/question/505879
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This table shows the number of goals scored in 25 Premier League football matches
Work out the
mean range and median
I need help with number 3 plz! And if u can can u also help me with 4 and 5!
The answer is attached above. I hope this helps!
The initial temperature of a cup of hot coffee is 46.8°C. After 20 minutes,the temperature of the coffee has reduced by 12.6°C. What is the temperature,in °C,of the coffee now?
Answer:
The current temperature = 34.2°C
Step-by-step explanation:
Initial temperature = 46.8°C
After 20 minutes temperature reduced by 12.6°C
Therefore, the current temperature is = 46.8°C - 12.6°C = 34.2°C
You need a 70% alcohol solution. On hand, you have a 420 mL of a 85% alcohol mixture. How much pure water will you need to add to obtain the desired solution?
Answer:
Pure water =74.1 mL
Step-by-step explanation:
You need 420 mL of a 70% alcohol solution.
420 mL of solution and 70% of it should be alcohol.
So,
420 * 70/100 mL
= 420 * 0.7
= 294 mL of alcohol and the rest should be water.
On hand, you have a 85% alcohol mixture.
The alcohol can only come from the 85% mixture. So, how much of 85% alcohol do we need to get 294 mL of alcohol:
Let
y = alcohol solution needed
85% of y = 294
85/100 * y = 294
y = 294 ÷ 85/100
y = 294 × 100/85
y = 29,400/85
y = 345.88235294117
Approximately, 345.9mL
The rest of 420 mL solution has to be pure water
Pure water = 420 mL - 345.9mL
= 74.1 mL
Pure water =74.1 mL
Hola, alguien me puede resolver esta operación? a. Múltiplo de 5 y de 6 mayor que 95.000 ( _ 8 9 1 _ ) b. Divisible por 3, 4 y 5, menor que 4.675. ( 4 6 _ _ )
Answer:
a) 98,910
b) 4,620
Step-by-step explanation:
Recordar que un numero N es multiplo de A si N es divisible por A.
Entonces, decir:
Buscar N, tal que sea multiplo de A
es lo mismo que decir:
Buscar N, tal que sea divisible por A.
a) Queremos un múltiplo de 5 y de 6 mayor que 95.000
( _ 8 9 1 _ )
Sabemos que los múltiplos de 5 terminan en 0 o 5.
Y un número de 5 dígitos mayor que 95,000 requiere que el quinto digito en este caso sea 9, entonces tendremos:
98,91_
Para encontrar el dígito de las unidades, podemos probar remplazarlo por 0 y por 5, y luego dividirlo por 6.
Si el resultado es un número entero, entonces el número será un múltiplo de 6.
Probemos con 0, vamos a tener el número:
98,910
dividiéndolo por 6 obtenemos:
98,910/6 = 16,485
Entonces:
98,910 es más grande que 95,000
es múltiplo de 5 (porque termina en cero)
Y es múltiplo de 6, como acabamos de comprobar.
b) Ahora queremos un número divisible por 3, 4 y 5, que sea menor que 4,675
4,6__
De vuelta, como tiene que ser divisible por 5, sabemos que termina en 5 o 0.
Y como también tiene que ser divisible por 4, sabemos que tiene que terminar si o si en número par, entonces podemos concluir que solo puede terminar en 0.
Así, sabemos que el número va a ser algo como:
4,6_0
Ahora podemos probar con el dígito de las decenas, de tal forma que el número sea divisible por 3, 4 y 5.
Recordar que este número tiene que ser menor que 4,675
Entonces el número faltante puede ser:
0, 1, 2, 3, 4, 5, 6, 7
Ahora también podemos recordar que un número es solo divisible por 3 si la suma de todos sus dígitos es divisible por 3.
Entonces tenemos que tener que:
4 + 6 + x + 0 = múltiplo de 3
10 + x = múltiplo de 3
Los posibles valores de x van a ser:
x = 2 (porque 12 es múltiplo de 3)
x = 5 (porque 15 es múltiplo de 3)
Ok, ahora sabemos que el número restante solo puede ser 2 o 3.
Entonces tenemos que remplazar esos valores en el número y ver si este es divisible por 4 o no.
Comenzamos con el 2.
Tendremos el número:
4,620
Probamos dividiendo esto por 4:
4,620/4 = 1,155
El resultado es entero, entonces 4,620 es divisible por 4 (y por como lo creamos, también sabemos que es divisible por 3 y por 5, y además es menor que 4,675, como queríamos)
Connor needs to buy 430 orange balloons for a party. The orange balloons are sold in packs of 6. If he buys the smallest possible number of packs, how many balloons will be left over?
Answer:
2 balloons.
Step-by-step explanation:
6x = 430
x = 71.6
He has to buy 72 packs, there will be:
72 * 6 = 432 - 430 = 2 balloons left.
Which letter in the word HAPPY has an order 2 rotational symmetry?
H
A
P
Y
Answer:Option 1) H
Step-by-step explanation:
Answer:
its H
Step-by-step explanation:
EDG 2021
In 2001 the club's total income was£1000 the club spent 60%of its total incoming on a hall. It spent farther £250 on price work out this ratio the amount spent on the hall the amount spent the prise
Answer:
We need to know the question??
Step-by-step explanation:
х
4
16
Find the exact value of x.
=
Answer:
The value of x is 8
Step-by-step explanation:
pls help due 30 mins
Answer:
5.7
Step-by-step explanation:
cos 18° = x / 6
0.9511 =x / 6
cross multiply
x = 5.70666
To 1 decimal place
ANSWER = 5.7
Have a nice day !
Answer:
5.7 =x
Step-by-step explanation:
cos theta = adjacent side/ hypotenuse
cos 18 = x /6
6 cos 18 = x
5.706339098 =x
Rounding to the nearest tenth
5.7 =x
I need help with 16-25 please
Simplify using only positive exponents
Answer:
16. 8/x
17. 8x
18. 4x⁴/y³ (not clear)
19. 16x^8
20. 256 R⁴
21. 64x^6
22. 81x^8
23. 1/ 3x
24. 5x
25. 1
In, z = 4 cm, x=8cm, and m
Answer:
what do u want us to do pls be more clear!
What is the lcm of 48 and 54
Answer:
LCM IS 48 × 52 BUT U HAVE TO MULTIPLY NUMERATOR BY DENOMINATOR
Step-by-step explanation:
LCM OF 48 AND 54 = 2×3×2×3×3×2×2
=
[tex]16 \times 27[/tex]
432
Find the value of x.
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
The two given triangles, triangle (BDE) and triangle (BAC) share the angle (<B) in common. Moreover, their bases, line (DE), and line (AC) are parallel, this means that through the corresponding angles postulate, angles (<BDE) and (<BAC) are congrunet. Moreover, angles (<BED) and (<BCA) are also congruent. Thus, triangles (BDE) and (BAC) are similar through angle-angle similarity.
The ratio between the corresponding sides of similar triangles is the same. Therefore, one can form the following equation,
[tex]\frac{BD}{BA}=\frac{BE}{BC}[/tex].
Substitute,
[tex]\frac{BD}{BD+DA}=\frac{BE}{BE+EC}\\\\\frac{x+2}{x+x+2}=\frac{3}{3+2}[/tex]
Simplify,
[tex]\frac{x+2}{2x+2}=\frac{3}{5}[/tex]
Cross products,
[tex]5(x+2)=3(2x+2)\\[/tex]
Simplify, distribute, multiply every term inside the parenthesis by the term outside of it,
[tex]5x+10=6x+6[/tex]
Inverse operations,
[tex]5x+10=6x+6\\\\10=x+6\\\\4=x[/tex]
Which is the graph of the linear inequality 1/2x - 2y > -6?
Answer: almost there
Step-by-step explanation: bring the 2 up
A common factor of 3k and 18 that is greater than 1 is
Answer and Step-by-step explanation:
A common factor of 3k and 18 is 3.
3 goes into both of these numbers, and is greater than 1.
#teamtrees #PAW (Plant and Water)
find the location of Q
Answer:
6 pretty sure
Step-by-step explanation:
PLEASE HELP! Pam bought 6.5 pounds of apples for $16.19. If the equation 6.5x=16.19 models the situation, what does the variable stand for?
A. The weight of one apple
B. The cost of 1 pound of apples
C. The number of pounds of apples
D. The total cost of the apples
Find the missing side lengths. Leave your answers as radicals in simplest form. *
That's the isosceles right triangle, one of the two cliche triangles students are expected to learn. The sides of the 45°/45°/90° triangle are in the ratio 1:1:√2.
So v= 3√2 (the two legs are equal) and hypotenuse u = √2 × v = 6.
Answer: C
Help a bab out with something, please?
Answer:
18
Step-by-step explanation:
