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3 years ago

Find the volume. need help asap!!

Mathematics

1 answer:

vlada-n [284]3 years ago

4 0

Answer:

V ≈ 16.76 yd^3

Step-by-step explanation:

www.google.com/search?q=volume+of+a+cone

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A rectangular solid with a square base has a volume of 4096 cubic inches - determine the dimensions that yield the minimum surfa

Bumek [7]

Answer:

side of base, a = 10.1 inches, height, h = 40.1 inches

Step-by-step explanation:

Volume of rectangular solid, V = 4096 cubic inches

Let the side of base is a and the height is h.

$V = a^2h\\\\4096 = a^2 h ..... (1)$

surface area of the solid

$S = 2a^2 + 4 ah \\\\S = 2a^2 + 4 \times a \times \frac{4096}{a^2} from (1)\\\S = 2a^2 + \frac{4096}{a}\\\\\frac{dS}{da}= 4 a - \frac{4096}{a^2}\\\\4 a - \frac{4096}{a^2} = 0 \\\\a^3 = 1024\\\\a =10.1 inches$

So, h = 40.2 inches

5 0

3 years ago

Juile planted a rectangular garden that is 20 feet long. She placed 56 feet of fencing around her garden. Draw and label a sketc

Xelga [282]

Answer:

Step-by-step explanation:

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

She placed 56 feet of fencing around her garden. This means that the perimeter of the garden is 56 feet. If the length of the rectangular garden is 20 feet, i means that

2(20 + W) = 56

Dividing through by 2, it becomes

20 + W = 28

W = 28 - 20

W = 8 feet

The formula for determining the area of a rectangle is expressed as

Area = length × width

Therefore,

Area = 8 × 20 = 160 square feet

6 0

3 years ago

How do I answer this?

12345 [234]

Answer:

Step-by-step explanation:

area of trapezium ABCD

=(16.5+12)/2 \times 15

=(28.5)/2 \times 15

=213.75 cm^2

$\frac{PQ}{DC} =\frac{8}{12} =\frac{2}{3}$

Area of PQRS

=213.75 \times (\frac{2}{3} )^2\\=213.75 \times\frac{4}{9} \\=95 ~cm^2

area of green portion=213.75-95=118.75 cm²

6 0

2 years ago

a bag contains 50 marbles 10 of which are blue 8 are red 20 are green and 12 are purple marcie takes a marble out of the bag rec

Alik [6]

80 red marbles are expected

6 0

3 years ago

8. In the diagram below, angle CAE = 39 °. Find the following<br>:) AOC<br>b) OBA

quester [9]

Answer:

a) 78°

b) 39°

Step-by-step explanation:

In circle with center O, DE is tangent at point A and AC is chord (or secant if extended both sides).

Therefore by tangent secant theorem.

$m\angle CAE = \frac{1}{2} \times m\widehat{(AC)} \\\\\therefore 39\degree = \frac{1}{2} \times m\widehat{(AC)} \\\\\therefore m\widehat{(AC)} = 39\degree\times 2\\\red{\bold{\therefore m\widehat{(AC)} = 78\degree}}\\$

Since, measure of central angle of a circle is equal to the measure of its corresponding minor arc.

$\therefore m\angle AOC = m\widehat{(AC)}\\\huge \purple {\boxed {\therefore m\angle AOC = 78\degree}} \\$

Next, by inscribed angle theorem:

$m\angle CBA = \frac{1}{2}\times m\widehat{(AC)}\\\\\therefore m\angle CBA = \frac{1}{2}\times 78\degree \\\\\therefore m\angle CBA =39\degree \\\\\huge \orange{\boxed {\therefore m\angle OBA = 39\degree}}\\... (\because C-O-B) \\$

7 0

3 years ago