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agasfer [191]
3 years ago
6

The greatest value of sinA.cosA is

Mathematics
2 answers:
scZoUnD [109]3 years ago
7 0
Remark
I can't imagine you having to solve this question any other way than by graphing it, if you are in middle school mathematics.

Step One
Go to Desmos. Input y = sin(A)*Cos(A) on the input bar.

Step Two
Check to see where the highest point is. It should be somewhere around 45 degrees or pi/4 which is 0.7854 on the x axis. 

Step Three 
On my graph, you can click on the greatest point on the red line. It should come back with (pi/4,0.5) That is the highest point between 0 and 90 degrees. Depending on what your graph looks like, there is another such point a (5*pi/4,0.5)

Note
The other responder did this question using Trigonometry. If you understand the answer, I would follow it. If not then this is another way to do it. 

-BARSIC- [3]3 years ago
4 0
Use the trig identity
2*sin(A)*cos(A) = sin(2*A)
to get
sin(A)*cos(A) = (1/2)*sin(2*A)

So to find the max of sin(A)*cos(A), we can find the max of (1/2)*sin(2*A)

It turns out that sin(x) maxes out at 1 where x can be any expression you want. In this case, x = 2*A. 

So (1/2)*sin(2*A) maxes out at (1/2)*1 = 1/2 = 0.5

The greatest value of sin(A)*cos(A) is 1/2 = 0.5
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A pyramid of volume 344 square units is sliced into two pieces by a plane parallel to the base of the pyramid and 10 units away
Tom [10]

Answer:

80 units

Step-by-step explanation:

v = 1/3 bh

v₁ = 1/3 * b * h₁ = 344

v₂ = 1/3 * b * h₂ = 301

v₁ / v₂ = h₁ / h₂ = 344 / 301

h₂ = h₁ - 10

h₁ / (h₁ - 10) = 344 / 301

344 * (h₁ - 10) = 301 * h₁

344* h₁ - 3440 = 301 * h₁

43 * h₁ = 3440

h₁ = 80

4 0
3 years ago
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Ann [662]

Answer:

To what circle?mm

Step-by-step explanation:

any pictures?

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3 years ago
Which expression is equivalent 1/3x(9y-12)
chubhunter [2.5K]

Answer:

3y - 4

Step-by-step explanation:

<u>Step 1:  Distribute</u>

1/3 * (9y - 12)

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6 0
3 years ago
Read 2 more answers
ERROR ANALYSIS Describe and correct the error in
valkas [14]

Answer:

The graph should be stretched rather than become narrower.

Step-by-step explanation:

To figure this out, just create some example points.

At x = 0, your y-value will always be 0. But if you were to plug in the value 1, you would get a y-value of 1 in y=x^2, but a value of 0.5 in y=0.5x^2. If you were to plug in a value of 2, you would get a value of 4 in y=x^2, but a value of 2 in y=0.5x^2.

If you continue this pattern for a few more points, then plot them, you will see that adding a coefficient of 0.5 simply stretches the graph

3 0
2 years ago
to the nearest tenth, what is the volume in cubic inches of the triangular prism below? 6 in (height) 3 in (width) 1.5 in (base)
babymother [125]
To find the volume, use this formula:

A = 0.5bhw
A = 0.5(1.5)(6)(3)
A = 0.5(9)
A = 4.5 in^3
3 0
3 years ago
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