3 years ago

The architect drew a design for the new kitchen. What is the area of the kitchen drawing?

Mathematics

1 answer:

nordsb [41]3 years ago

8 0

Answer:

Step-by-step explanation:

Area of the kitchen = Area small rectangle + area large rectangle + area triangle

Area small rectangle = (8-4)*1.5

Area large rectangle = (8-4)* 3

Area triangle = (1/2)*base*height = (1/2)*4*3

Area of the kitchen = (8-4)*1.5 + (8-4)* 3 + (1/2)*4*3 = 24 cm²

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3 years ago

Question 1: find the volume of a cube whose total surface area is 486cm^2

lapo4ka [179]

<h3>The volume of cube is 729 cubic centimeter</h3>

Solution:

The surface area of cube is given as:

$Surface\ area = 6a^2$

Where, "a" is the length of side of cube

Given that, surface area = 486 square centimeter

$486 = 6a^2\\\\a^2 = \frac{486}{6}\\\\a^2 = 81\\\\a = 9$

Find the volume of cube:

$volume\ of\ cube = a^3\\\\volume\ of\ cube = 9^3\\\\volume\ of\ cube = 9 \times 9 \times 9\\\\volume\ of\ cube = 729$

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3 years ago

What is the equation of the circle with center (0, 0) that passes through the point (5, -4)?

Katyanochek1 [597]

The standard form of a circle is $(x-h) ^{2} +(y-k) ^{2} = r^{2}$ where h and k are the center and x and y are the coordinates you're given. We need to solve for the radius to finish this off correctly. Filling in, we have $(5-0) ^{2} +(-4-0) ^{2} = r^{2}$ and $25+16= r^{2}$ , giving us that $r^{2}=41$ . Therefore, our equation is $x^{2} + y^{2} =41$