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3 years ago

The Great Pyramid of Giza is an example of a square pyramid and is the last

Mathematics

1 answer:

Verdich [7]3 years ago

5 0

Answer:

The surface area of the pyramid is 466,137 squared cubits

Step-by-step explanation:

This is simply asking us to find the surface area of the square based pyramid with the given dimensions.

The first thing we need to know is the principle for finding the surface area of such pyramidal shapes. To get the surface area of a pyramid, we will have to add the base area to the area of the side faces ( lateral area)

The base area of the square based pyramid, will be the same as the area of a square which is = 453 cubits X 453 cubits = $205209 cubits^{2}$

The lateral area has already been given to us as 260,928 squared cubits.

The surface area of the pyramid is 260,928 + 205209 = 466137 squared cubits

Hence, the surface area of the pyramid is 466137 squared cubits

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What is x over three equals 9

WARRIOR [948]

Answer:

X is 3

Step-by-step explanation:

this is because you divide 3 by nine and it equal 3 therefore x equals 3

3 0

3 years ago

Read 2 more answers

a woman spent two thirds of her money. she lost two thirds of the remiander and then had $4(aus money) left. how much money did

antiseptic1488 [7]

Step-by-step explanation:

2/3 lost is 1/3 kept

2/3 of the 1/3 kept is 2/9 lost

1/3 x - 2/9 x = 4

3/9 x - 2/9 x = 4

1/9 x = 4

x = 36

First she lost 2/3 of 36, which is 24. She had 12 left. Then she lost 2/3 of 12 which is 8. She had 4 left.

8 0

2 years ago

Find the simple interest paid for 7 years on a $600 loan at 5% per year.

aksik [14]

Answer:

Step-by-step explanation:

200

3 0

2 years ago

There is strong believe that language skills of Political science students are greater than students who study Finance. Research

BaLLatris [955]

Answer:

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 > \mu_2$

$p-value = 0.232$

The decision rule is

Fail to reject the null hypothesis

Step-by-step explanation:

From the question we are told that

The value given is

S/N

1 7 5

2 4 3

3 8 7

4 8 8

5 7 9

6 7 5

7 6 5

Generally the sample mean for the first sample is mathematically represented as

$\= x _1 = \frac{\sum x_i }{n}$

=> $\= x _1 = \frac{7 +4 + \cdots + 6}{7}$

=> $\= x _1 = 6.714$

Generally the sample mean for the second sample is mathematically represented as

$\= x _2 = \frac{\sum x_i }{n}$

=> $\= x _2 = \frac{5 + 3+ \cdots + 5}{7}$

=> $\= x _2 = 6$

Generally the sample standard deviation for the first sample is mathematically represented as

$s_1 = \sqrt{\frac{\sum (x_i - \= x_1)^2 }{n-1 } }$

=> $s_1 = \sqrt{\frac{ (7 - 6.714 )^2 +(4 - 6.714 )^2 + \cdots + (6 - 6.714 )^2 }{7-1 } }$

=> $s_1 = 1.905$

Generally the sample standard deviation for the second sample is mathematically represented as

$s_2 = \sqrt{\frac{\sum (x_i - \= x_2)^2 }{n-1 } }$

=> $s_2 = \sqrt{\frac{ (5 - 6.714 )^2 +(3 - 6.714 )^2 + \cdots + (5 - 6.714 )^2 }{7-1 } }$

=> $s_1 = 4.33$

Generally the pooled standard deviation is

$s = \sqrt{\frac{(n_1 - 1 )s_1^2 + (n_2 - 1 )s_2^2}{n_1 + n_2 -2 } }$

=> $s = \sqrt{\frac{(7 - 1 )1.905^2 + (7 - 1 )4.333^2}{7 + 7 -2 } }$

=> $s = 1.766$

The null hypothesis is $H_o : \mu_1 = \mu_2$

The alternative hypothesis $H_a : \mu_1 > \mu_2$

Generally the test statistics is mathematically represented as

$t = \frac{\= x _1 - \= x_2 }{s * \sqrt{\frac{1}{n_1} + \frac{1}{n_2}} }$

=> $t = \frac{6.714 - 6 }{1.766 * \sqrt{\frac{1}{7} + \frac{1}{7}} }$

=> $t = 0.757$

Generally the degree of freedom is mathematically represented as

$df = n_1 + n_2 - 2$

=> $df = 7 + 7 - 2$

=> $df = 12$

From the t distribution table the probability of $t = 0.757$ at a degree of freedom of $df = 12$ is

$t_{ 0.757 , 12} = 0.232$

Generally the p-value is

$p-value = t_{ 0.757 , 12} = 0.232$

From the values obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

8 0

3 years ago

A gardener found that he was able to plant 1/4 of a packet of flower seeds in 1/5 of a garden.At this rate how much of the garde

telo118 [61]

Answer: $\frac{4}{5}$ of garden.

Step-by-step explanation:

Given: The area covered by $\frac{1}{4}$ of a packet of flower seeds= $\frac{1}{5}$ of a garden.

The area covered in 1 packet= $4\times\frac{1}{5}$

⇒The area covered in 1 packet= $\frac{4}{5}$ of garden.

Thus, the entire packet of seeds would cover $\frac{4}{5}$ of garden.

3 0

3 years ago