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3 years ago

What is an integer less than -8

Mathematics

1 answer:

sertanlavr [38]3 years ago

6 0

Note that, if we let integer = x, x would be:

x > -8

x then, can be any integer -9 and less

-9 is one of your answers

hope this helps

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Donatello starts with a marble cube of side length $10.$ He then slices a pyramid off each corner, so that in the resulting poly

prohojiy [21]

Answer:

The length of each side of the polyhedron, s is 4.142 or

= $10(\sqrt{2}-1)$

Step-by-step explanation:

If we take the distance of the length of the side of the cube where Donatello make the cut to the corner of the cube as x we get the side of length each polyhedron as

$\sqrt{x^2 + x^2} = \sqrt{2x^2} =x\sqrt{2}$

x·√2 because we have an hy

Therefore, the original cube had sides of length

10 = 2·x + x·√2

Solving for x we get

$x = \frac{10}{\sqrt{2}+2 }$

Therefore the length of s is x·√2 which gives

$s = x\sqrt{2} = \frac{10}{\sqrt{2}+2 }\sqrt{2} = 10\sqrt{2} -10 = 10(\sqrt{2}-1) = 4.142$

The length of each side of the polyhedron, s = 4.142.

3 0

4 years ago

The point at which two arms of an angle meet is call the ?

11111nata11111 [884]

It's called the vertex.

4 0

4 years ago

Find the value of x<br><br>urgent!! plz help me! will give the brainliest

Anarel [89]

Answer:

x = 2

Step-by-step explanation:

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

→ Expand the brackets

$\frac{1}{2} x- \frac{1}{2}-\frac{1}{6}x -\frac{1}{6} =0$

→ Multiply everything by 12 to make solving the equation easier

6x - 6 - 2x - 2 = 0

→ Simplify equation

4x - 8 = 0

→ Add 8 to both sides to isolate 4x

4x = 8

→ Divide by 4 on both sides to isolate x

x = 2

⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

⇒ Substitute in the values

$\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0$

⇒ Simplify

$\frac{1}{2} (1)-\frac{1}{6} (3) = 0$

⇒ Simplify further

$\frac{1}{2} -\frac{1}{2} =0$

0 = 0

The solution x = 2 is correct

4 0

3 years ago

How do I answer this please help homework due tomorrow x

ryzh [129]

Answer:

63.6 m^2

Step-by-step explanation:

A = (pi)r^2

r = d/2 = 9 m / 2 = 4.5 m

A = (3.142)(4.5 m)^2

A = 63.6 m^2

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3 years ago

Juan paga por un saco S/ 224, después de que le han

grigory [225]

El saco tiene un precio original de 400 soles.

<h3>¿Cómo determinar el precio inicial de un saco comprado con descuento?</h3>

En este problema tenemos el caso de un precio de compra (P'), en soles, que es resultado de aplicar dos descuentos consecutivos al precio original del saco (P), en soles. El precio es el resultado de multiplicar el precio original por los dos factores de porcentaje, descrito por la siguiente fórmula:

P' = P · (1 - r₁ / 100) · (1 - r₂ / 100), 0 ≤ r₁, r₂ ≤ 100.

Donde:

r₁ - Porcentaje del primer descuento.
r₂ - Porcentaje del segundo descuento.

Si sabemos que P' = 224, r₁ = 30 y r₂ = 20, entonces el precio original del saco es:

224 = (1 - 30 / 100) · (1 - 20 / 100) · P

224 = 0.7 · 0.8 · P

P = 224 /(0.7 · 0.8)

P = 400

El precio original del saco es de 400 soles.

Para aprender más sobre descuentos: brainly.com/question/24130820

#SPJ1

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1 year ago