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3 years ago

What is the volume of a cube whose surface area is 294 in2?

Mathematics

1 answer:

vodka [1.7K]3 years ago

7 0

Answer:

V=343in³

Step-by-step explanation:

A=6a2

V=a

3V=6A3/2

36=6·2943/2

36=343in³

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2. Solve the quadratic by taking square roots. Write your answer with no spaces as x=a,-a where a and -a are the values you foun

natulia [17]

Answer:

x=√65 and x=-√65

Step-by-step explanation:

Givn the expression 2x^2 - 9 = 121

Add 9 to both sides

2x^2 - 9 + 9 = 121 + 9

2x^2 = 130

Divide both sides b 2

2x^2/2 = 130/2

x^2 = 65

x = ±√65

x=√65 and x=-√65

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3 years ago

What’s the least common denominator for 1/6 and 7/8?

Alexandra [31]

Answer:

Step-by-step explanation:

Here's how we construct the LCD:

Factor the denominators 6 and 8: 6 = 2*3 and 8 = 2*2*2

The LCD involves 2*2*2 as well as 3:

LCD: 2*2*2*3 = 24. Note that 24 is divisible by both 6 and 8. There is no smaller LCD that is divisible by 6 and 8 both.

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3 years ago

29.??<br> +<br> 1.4 2.<br> ??.4 1

iren2701 [21]

21

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3 years ago

A triangle has a perimeter of 30cm. Side y is twice as long as side x. Side z is 4 less than side x.

Shtirlitz [24]

Answer:

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Step-by-step explanation:

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2 years ago

Suppose in one year, total revenues from digital sales of pop/rock, tropical (salsa/merengue/cumbia/bachata), and urban (reggaet

Eduardwww [97]

Answer:

Pop/Rock sold $14 million
Tropical music sold $3 million
Reggaeton sold $4 million.

Step-by-step explanation:

First let's write the music genre as follows:

X = Pop/Rock
Y = Tropical
Z = Reggaeton

$\left \bigg \{ {{X + Y + Z = 21 (1) } \atop {X=2(Y + Z) (2)}} \text{; } \left \bigg \{ {{X + Y + Z = 21 (1)} \atop {X= Z + 10 (3)}$

Let's use $(2)$ in $(1)$ :

$X + Y + Z = 21 \Rightarrow 2(Y + Z) + Y + Z = 21 \Rightarrow\\3(Y+Z) = 21 \Rightarrow Y+Z = 7$

Then,

$X + 7 = 21 \Righarrow X = 14$

Now let's solve for Z,

$14 = Z +10 \Rightarrow Z = 4$

Finally, let's solve for Y,

$14 = 2(Y + 4) \Rightarrow Y + 4 = 7 \Rightarrow Y = 3$

So Pop/Rock sold $14 million, Tropical music sold $3 million and Reggaeton sold $4 million.

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3 years ago