Please help!!!!!!!!!

What is the volume of a square pyramid with base edges of 60 inches and a height of 10 inches?

vichka [17]

Answer:

The volume is $12000 in^3$

Step-by-step explanation:

From the question ,

$L= 60\:in.$ and $H=10\:in.$

The volume of a pyramid is given as

$V=\frac{1}{3} \times area\:of\:the\:base \times height$

From the question, the base of the pyramid is a square.

Hence base area is given by $L^{2}$

This implies that the volume of the pyramid is

$=\frac{1}{3} \times L^{2}\times H$

$=\frac{1}{3}\times 60^{2} \times 10$

$=\frac{36000}{3}$

$=12000 in^3$

6 0

2 years ago

In the partial sequence …, 987, N, 2584, 4181, …, each new term is the sum of the two previous terms. Find the whole number valu

Alina [70]

Answer: 2584

Step-by-step explanation:

We can find N with 2584 and 4181.

4181 - 2584

= 1597

We can also check our answer by adding 1597 and 987

1597 + 987

= 2584

5 0

2 years ago

Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smalle

Rus_ich [418]

Answer:

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

y = 2 x + 7

Step-by-step explanation:

Let x represent the smaller number and y represent the larger number.

Four times a number added to 3 times a larger number is 31.

<u>It is translated as:</u>

4x + 3y = 31

<u>Then, solving for y:</u>

4x + 3y=31 ⇒ 3y= -4x+31 ⇒ y= (-4x+31)/3 = - 4/3x + 31/3

⇒ y= - 4/3x + 31/3

<u>Correct answer choice for this equation:</u>

y = negative four-thirds x + StartFraction 31 Over 3 EndFraction

Seven subtracted from the larger number is equal to twice the smaller number.

<u>It is translated as:</u>

y-7= 2x

<u>Then, solving for y:</u>

y-7= 2x ⇒ y= 2x+ 7

<u>Correct answer choice for this equation:</u>

y = 2 x + 7

4 0

2 years ago

Which expressions are completely factored? Select each correct answer. 30a6−24a2=3a2(10a4−8) 16a5−20a3=4a3(4a2−5) 12a3+8a=4(3a3+

irinina [24]

When factoring an expression, we need to identify the Greatest Common Factor of the expression (GCF). By definition, GCF is the product of prime factors involved with its Lowest Exponent.

We need to divide each term by the GCF to get the expression inside the parenthesis.

$30a^6-24a^2\\ GCF\; is \; 6a^2\\ \\ 30a^6-24a^2=6a^2(\frac{3a^6}{6a^2} -\frac{24a^2}{6a^2} )=6a^2(5a^4-4)\\ ---------------------\\ \\ 16a^5-20a^3\\ GCF \; is \; 4a^3\\ \\ 16a^5-20a^3=4a^3(\frac{16a^5}{4a^3} -\frac{20a^3}{4a^3})=4a^3(4a^2-5) \\ ---------------------\\ \\ 12a^3+8a\\ GCF \; is \; 4a\\ \\ 12a^3+8a=4a(\frac{12a^3}{4a}+\frac{8a}{4a})=4a(3a^2+2)\\ ---------------------\\ 24a^4+18\\GCF \; is \; 6\\\\24a^4+18=6(\frac{24a^4}{6} +\frac{18}{6})=6(4a^4+3) \\ ---------------------$