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3 years ago

What is the surface area of the regular pyramid below?

Mathematics

2 answers:

Artist 52 [7]3 years ago

7 0

Answer:

304 sq units on Apex

AnnyKZ [126]3 years ago

4 0

The total surface area of a regular pyramid is the sum of the areas of its lateral faces and its base.
The area of the faces = four times the area of the triangle
= 4 * ( 0.5 * height * base )
= 4 * ( 0.5 * 8 * 15 ) = 240
The area of the base = area of a square
= 8 * 8 = 64

So, the total area = 240 + 64 = 304 sq. units

You might be interested in

Gini has a small garden that is 234 yards in length and 1 yard and with she grows roses 1/2 of her garden how many square yards

kipiarov [429]

Answer:

117 square yards.

Step-by-step explanation:

Given:

Length of garden = 234 yards

Breadth of garden = 1 yard

She grows roses 1/2 of her garden.

Question asked:

How many square yards are Gini's garden has roses ?

Solution:

First of all we will find area of rectangular garden.

$Area \ of \ rectangle = Length\times breadth$

$=234\times1 =234 \ square \ yards$

Then, as here given half of garden, she grows roses, we will find half of the

rectangular garden.

$\frac{1}{2} \ of 234\\\frac{1}{2} \times234 =117\ square\ yards$

Therefore, 117 square yards of her garden has roses.

5 0

3 years ago

the marks in an examination for a Physics paper have normal distribution with mean μ and variance σ2 . 10% of the students obtai

Blababa [14]

Let $X$ be the random variable for the number of marks a given student receives on the exam.

10% of students obtain more than 75 marks, so

$P(X>75)=P\left(\dfrac{X-\mu}\sigma>\dfrac{75-\mu}\sigma\right)=P(Z>z_1)=0.10$

where $Z$ follows a standard normal distribution. The critical value for an upper-tail probability of 10% is

$P(Z>z_1)=1-F_Z(z_1)=0.10\implies z_1=F_Z^{-1}(0.90)$

where $F_Z(z)=P(Z\le z)$ denotes the CDF of $Z$ , and $F_Z^{-1}$ denotes the inverse CDF. We have

$z_1=F_Z^{-1}(0.90)\approx1.2816$

Similarly, because 20% of students obtain less than 40 marks, we have

$P(X$

so that

$P(Z$

Then $\mu,\sigma$ are such that

$\dfrac{75-\mu}\sigma\approx1.2816\implies75\approx\mu+1.2816\sigma$

$\dfrac{40-\mu}\sigma\approx-0.8416\implies40\approx\mu-0.8416\sigma$

and we find

$\mu\approx53.8739,\sigma\approx16.4848$

3 0

4 years ago

The area of a rectangle is 72 cm square. The length of the rectangle is 6 cm longer than the width. What is the width of the rec

miskamm [114]

The correct option will be : B) 6 cm.

Explanation

Suppose, the width of the rectangle is $x$ cm.

As, the length is 6 cm longer than the width, so the length will be: $(x+6) cm.$

Formula for the Area of rectangle is: $(Length)*(Width)$

Given that, the area of a rectangle is 72 cm²

So....

$x(x+6)=72\\ \\ x^2+6x-72=0\\ \\ (x+12)(x-6)=0$

Using zero-product property, we will get...

$x+12=0\\ x= -12$ (Negative value is ignored as width can't be negative)

and

$x-6=0\\ x=6$

So, the width of the rectangle is 6 cm.

6 0

4 years ago

What is the rate and unit rate of 2 inches of snow in 5 hrs

sp2606 [1]

Answer:

Rate: 2:5

Unit Rate: 1:2.5

Step-by-step explanation:

Unit Rate is the rate in which x is x to 1. So, each inch of snowfall takes 2.5 hours.

5 0

4 years ago

How to factor 4x^2+24x+27

fomenos

Answer:

(2 x + 3) (2 x + 9)

Step-by-step explanation:

Factor the following:

4 x^2 + 24 x + 27

Factor the quadratic 4 x^2 + 24 x + 27. The coefficient of x^2 is 4 and the constant term is 27. The product of 4 and 27 is 108. The factors of 108 which sum to 24 are 6 and 18. So 4 x^2 + 24 x + 27 = 4 x^2 + 18 x + 6 x + 27 = 9 (2 x + 3) + 2 x (2 x + 3):

9 (2 x + 3) + 2 x (2 x + 3)

Factor 2 x + 3 from 9 (2 x + 3) + 2 x (2 x + 3):

Answer: (2 x + 3) (2 x + 9)

3 0

3 years ago