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Contact [7]
2 years ago
5

A rain gutter is to be constructed from a metal sheet of width 48 cm by bending up one-third of the sheet on each side through a

n angle θ.
Show that the cross-sectional area of the gutter is modeled by the function
A(θ) = 256 sin(θ) + 256 sin(θ) cos(θ).

For what angle θ is the largest cross-sectional area achieved?

Mathematics
1 answer:
Tomtit [17]2 years ago
8 0
This is for 30cm not 48 but you can find out how to do it. This is an example

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Solve the right triangle​
grandymaker [24]

Answer:

HJ = 5.20

HI = 3

angle J = 30 degrees

Step-by-step explanation:

sin 60 = HJ/6

HJ = 5.20

cos 60 = HI/6

HI = 3

angle J = 90-60 = 30 degrees

4 0
2 years ago
Part A: What is the value of 2x if 4x + 6 = 2x – 12?
xeze [42]

Answer:

Step-by-step explanation:

A) 4x + 6 = 2x - 12

Subtract 6 from both sides

4x + 6 - 6 = 2x - 12 -6

4x = 2x - 18

Subtract 2x form both sides

4x - 2x = 2x - 18 - 2x

2x = -18

B) 24 = 6x - 18

6x - 18 = 24

6x - 6*3 = 24

6(x - 3) = 24

Divide both sides by 6

\frac{6(x - 3)}{6}=\frac{24}{6}\\\\

x - 3 = 4

8 0
2 years ago
jackson wants to divide 3\4 pound box of trail mix into small bags each of the bags will hold 1/12 pound of trail mix how many b
guapka [62]
(3/4) / (1/12)...when dividing with fractions, flip what u r dividing by, then multiply

3/4 * 12/1 = 
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5 0
3 years ago
sex(-x)-sin(-x)tan(-x)=cosx Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed descri
julsineya [31]

Answer:

Step-by-step explanation:

sec (-x)-sin (-x) tan (-x)=cos x

sec(x)-(-sin x)(-tan x)=cos x

1/cos x-sin x(sin x/cos x)=cos x

multiply by cos x

1-sin ²x=cos²x

or 1=sin²x+cos²x

which is true.

4 0
3 years ago
I dont know how to do this... Please answer and explain how. Thanks!
kozerog [31]

Answer:

1620.2

Step-by-step explanation:

V=3/4(pi)r^3

V=3/4(3.14)(512)

3 0
2 years ago
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