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Mathematics

1 answer:

Viktor [21]3 years ago

6 0

Answer:

Her answer should have been x=17/34

Step-by-step explanation:

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5. Geometry A rectangular vegetable garden has a length of 8 ft and a width of 5 ft. The width is increased by 2 ft. By how many

Firlakuza [10]

A rectangular garden has a length of 5ft and a width of 8 ft. The length is increased by 2 feet. By how many square feet does the area increase?

Step 1. Area of a rectangle is given as A=length * width

Step 2. Then, A1=5*8=40 square feet of original area of rectangular garden.

Step 3. Then, A2=(5+2)*8=56 square feet since the length is increased by 2. feet.

Step 4. Difference = A2 - A1 = 56 - 40 = 16 square feet.

Step 5. ANSWER: The area increased by 16 square feet.

4 0

3 years ago

What is the volume of a pyramid whose base is a square of area 36 and whose four faces are equilateral triangles?

irina1246 [14]

Answer:

$V = 36\sqrt{2}$

Step-by-step explanation:

The volume of a pyramid is

$V = \dfrac{1}{3}Bh$

where B = area of the base, and h = height of the pyramid

The base is a square.

$A = s^2$

$s = \sqrt{A}$

$s = \sqrt{36}$

$s = 6$

The side of the base has length 6. Each face of the pyramid is an equilateral triangle with side of length 6.

An altitude of this triangle measures

$a = \sqrt{6^2 - 3^2}$

$a = \sqrt{27}$

The pyramid is formed by 4 equilateral triangles whose bases form a square. The tips of the faces meet at a single point on top. The vertical distance from that point to the center of the base is the height of the pyramid.

$h = \sqrt{(\sqrt{27})^2 - 3^2 }$