A square prism has a height of 16 centimeters and a volume of 784 cubic centimeters. What is the length in centimeters of each side of the square base
Answer:
7cm
Step-by-step explanation:
Volume of a prism = base area x height
base area = area of a square = length²
784 = length² x 16
divide both sides of the equation by 16
length² = 784/16
length² = 49
find the square root of both sides
length = 7
Do y’all know this?
Answer:
Step-by-step explanation:
x=[tex]\sqrt{100+16}[/tex]
x=[tex]\sqrt{116}[/tex]
x=2[tex]\sqrt{29[/tex]
Answer:
[tex] x = \blue{2\sqrt{29}} [/tex]
Step-by-step explanation:
[tex] a^2 + b^2 = x^2 [/tex]
[tex] 4^2 + 10^2 = x^2 [/tex]
[tex] 16 + 100 = x^2 [/tex]
[tex] x^2 = 116 [/tex]
[tex] x = \sqrt{116} [/tex]
[tex] x = \sqrt{4 \times 29} [/tex]
[tex] x = \blue{2\sqrt{29}} [/tex]
70. Angle of Revolution. Through how many radians does the minute hand of a wrist-watch rotate from 12:40 P.M. to 1:30 P.M.
Answer:
[tex]\frac{5\pi}{3}\:\mathrm{radians}[/tex]
Step-by-step explanation:
Each complete revolution of a circle is equal to [tex]2\pi[/tex] radians. The minute-hand travels one of these revolutions in 60 minutes. Since there are 50 minutes from 12:40 PM to 1:30 PM, the minute hand travels [tex]\frac{50}{60}\cdot 2\pi=\frac{100}{60}\cdot 2\pi=\boxed{5\pi/3\:\mathrm{radians}}[/tex]
Calculate the length of side AC:
Answer:
146⁰ + x = 180
x = 34⁰ is AC ..a..a.
х
4
16
Find the exact value of x.
=
Answer:
The value of x is 8
Step-by-step explanation:
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
#SPJ2
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
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:
Laura rented a movie. She started the movie at 11:32 am and it ended at 2:19pm. How long was the movie?
Answer:
2 hours and 32 minutes
Step-by-step explanation:
John Read a book at 11:32 and stopped at 2:14
What you have to do is add minutes up and hours up until you get to 2:14pm and all the hours and minutes it took to get there you add up and thats ur answer :)
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
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
Can someone helps mezzzz
can anyone help me please
Answer:
orange :P
Step-by-step explanation:
volume = a x a x a = 15 x 15 x 15 =3375 cubic mm
Answer:
3375 cm (so the 3375 with the 3 in the corner)
DONT PUT THE ONE WITH THE 2 IN THE CORNER. Put the one with the 3 in the corner. I have made this mistake too many time lol.
Work:
Given, side of a cube =15 cm
Volume of a cube = Length x Width x Height
A cubes length, width, and height are the same.
15×15×15=3375 cm squared
a cell phone plan charges a base fee of $62 and an overage charges $30 per gigabyte of data that exceeds 2 GB
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)
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!
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)
What is the percent decrease when the balance in a bank account goes from $300 to $60?
The percent decrease is 20%.
The percent decrease is 25%.
The percent decrease is 80%.
Answer:
The percent decrease is 80%. or C.
Step-by-step explanation:
Hope this helps! (:
The four factors of 91
Answer:
1,7,13,91
Step-by-step explanation:
thats the four factors if 91
The sum of 32,476 and a number P is divided by 381, the quotient is 100 and remainder is zero. Find the number P.
Answer:
p = 5,624
Step-by-step explanation:
(32,476 + p) / 381 = 100
multiply both sides by 381
32,476 + p = 38,100
Subtract 32476 from both sides
p = 5,624
Round 25446 to 1 significant figure
Answer:
30000
Step-by-step explanation:
find the location of Q
Answer:
6 pretty sure
Step-by-step explanation:
Use the measures of angle 4 and 7 to create
an equation and solve for x:
Equation:
X=
so Angle 4 =
degrees
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].
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]
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
Which expression is equivalent to
What is the value of x to the nearest tenth?
A)7.2
B)4.8
C)12.0
D)9.2
Answer:
x = 7.2
Step-by-step explanation:
a² + b² = c²
x² + (19.2/2)² = (24/2)²
x² + 9.6² = 12²
Subtract 9.6² from both sides
x² = 12² - 9.6²
x² = 51.84
x = 7.2
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...