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3 years ago

The Great Pyramid of Cheops is a square-based pyramid. The base has sides of 230m, and the height is 147m.

Mathematics

1 answer:

Alex_Xolod [135]3 years ago

5 0

Answer:

height = 140.875m

Step-by-step explanation:

Volume of first pyramid= base * height /3 = 230*147/3= 11270

if the base is 240, volume is remain -> height = volume *3 /base

= 11270*3/240 =140.875m

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4 years ago

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garri49 [273]

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Step-by-step explanation:

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3 years ago

How do I solve these questions?

PSYCHO15rus [73]

Function rule: a = 20w + 115

Slope: 20

Initial value: 115

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We start with $115 in the account. This is the initial value. Each week we add on $20.

So we add $20 for 1 week

We add 2*20 = $40 for 2 weeks

We add 3*20 = $60 for 3 weeks

etc etc

In general, we add 20*w dollars for w weeks onto 115 to get a = 20w+115

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3 years ago

the product of two consecutive positive even integers is 14 more than their sum. Set up an equation that can

alexandr1967 [171]

Required equation to determine two consecutive even number is $x^{2}-16=0$ and required numbers are 4 and 6.

<u>Solution:</u>

Given that product of two consecutive positive integer is 14 more that their sum. Need to create the equation and solve it to get two numbers.

Let’s assume first even number be represented by x.

So second consecutive even number will be $x + 2$

Sum of two consecutive number = $(x) + (x + 2)$

$\Rightarrow$ Sum of two consecutive number = $2x + 2$

Product of two consecutive number = $(x) \times(x+2)=x^{2}+2 x$

Product of two consecutive number is 14 more that sum of two consecutive numbers, so if we subtract 14 from product, we will get sum.

$\begin{array}{l}{\Rightarrow\left(x^{2}+2 x\right)-14=2 x+2} \\\\ {=>x^{2}+2 x-2 x-14-2=0} \\\\ {\Rightarrow x^{2}-16=0} \\\\ {\Rightarrow x^{2}-4^{2}=0} \\\\ {\Rightarrow x^{2}=4^{2}} \\\\ {\Rightarrow x=4}\end{array}$

One even number = $x=4$

Other even number = $x + 2 = 4 + 2 = 6$

Hence required equation to determine two consecutive even number is $x^2 -16 = 0$ and required numbers are 4 and 6.

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4 years ago

There are 108 identical plastic chips numbered 1 through 108 in a box. What is the probability of reaching into the box and rand

kolezko [41]

• 108 total plastic chips
• #chip > 44 = 108 - 44 = 64 chips
• 64 chips / 108 chips total
• That simplifies to: 16/27 probability

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3 years ago