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leonid [27]
3 years ago
11

A solid right pyramid has a square base. The length of the

Mathematics
1 answer:
Wittaler [7]3 years ago
7 0

Answer:

The volume of the pyramid is 16 cm³.

Step-by-step explanation:

The volume of squared-base pyramid is given by the formula:

V=A\times \frac{h}{3}

Here,

V = volume of the squared-base pyramid

A = area of the square base

<em>h</em> = height of the pyramid.

The information provided is:

<em>a</em> = side of square = 4 cm

<em>h</em> = 3 cm

Compute the area of the square base as follows:

A=a^{2}\\=4^{2}\\=16\ \text{cm}^{2}

Compute the volume of squared-base pyramid as follows:

V=A\times \frac{h}{3}

   =16\times \frac{3}{3}\\\\=16

Thus, the volume of the pyramid is 16 cm³.

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Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. Tha
Brums [2.3K]

Answer:

The length of each side of the city is 250b

Step-by-step explanation:

Given

a = 20 --- tree distance from north gate

b =14 --- movement from south gate

c = 1775 --- movement in west direction from (b)

See attachment for illustration

Required

Find x

To do this, we have:

\triangle ADE \sim \triangle ACB --- similar triangles

So, we have the following equivalent ratios

AE:DE = AB:CB

Where:

AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775

Substitute these in the above equation

20:x/2 = 20 + x + 14: 1775

20:x/2 = x + 34: 1775

Express as fraction

\frac{20}{x/2} = \frac{x + 34}{1775}

\frac{40}{x} = \frac{x + 34}{1775}

Cross multiply

x *(x + 34) = 1775 * 40

Open bracket

x^2 + 34x = 71000

Rewrite as:

x^2 + 34x - 71000 = 0

Expand

x^2 + 284x -250x - 71000 = 0

Factorize

x(x + 284) -250(x + 284)= 0

Factor out x + 284

(x - 250)(x + 284)= 0

Split

x - 250 = 0 \ or\ x + 284= 0

Solve for x

x = 250 \ or\ x =- 284

x can't be negative;

So:

x = 250

6 0
3 years ago
Which correctly names a point, line, or plane in the figure?
Ronch [10]
The answer is B; at least, I am pretty sure that's the answer.
3 0
3 years ago
What is the slope of the line that passes through these two points (8, 4) and (5, 3)?
strojnjashka [21]

Answer: 3

Step-by-step explanation:

8-5= 3.

4-3=1

so it’s 3/1 or 3

3 0
2 years ago
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3 years ago
Stephanie left Riverside, California, driving her motorhome north on Interstate 15 towards Salt Lake City at a speed of 56
Deffense [45]

Answer:

2.5

Step-by-step explanation:

56(t+1/2)=70 t

56T + 28= 70T

28=70T-56T

28=14

2=T

s=T+ 1/2

S=2+ 1/2

S=2.5 hours

8 0
3 years ago
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