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noname [10]
3 years ago
7

PLEASE HELP:

Mathematics
1 answer:
wlad13 [49]3 years ago
4 0
76/2=38 so half her mothers age is 38. And since Moira is 3 less than the half of her mothers age, Moira is: 38-3=35
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In ΔRST, s = 340 inches, t = 970 inches and ∠R=109°. Find ∠T, to the nearest degree.
Troyanec [42]

Answer:

Divide

Step-by-step explanation:

6 0
3 years ago
Help 12-14 will mark as brainliest
kramer
12-14=-2 since 14 is 2 more than 12
8 0
3 years ago
The three trapezoids have the same base lengths, but different angle measures. Which trapezoid has the greatest area? Explain.
Luden [163]

Steps I took:

I drew out a circle with a radius of 1 and drew a trapezoid inscribed in the top portion of it. I outlined the rectangle within the trapezoid and the two right triangles within it. This allowed me to come to the conclusion, using the pythagorean theorem, that the height of the trapezoid is <span><span>h=<span><span>1−<span><span>x2</span>4</span></span><span>−−−−−</span>√</span></span><span>h=<span>1−<span><span>x2</span>4</span></span></span></span>

The formula for the area of a trapezoid is <span><span>A=<span><span>a+b</span>2</span>(h)</span><span>A=<span><span>a+b</span>2</span>(h)</span></span> I am basically solving for the <span>aa</span> here and so far I have:

<span><span>A=<span><span>x+2</span>2</span>(<span><span>1−<span><span>x2</span>4</span></span><span>−−−−−</span>√</span>)</span><span>A=<span><span>x+2</span>2</span>(<span>1−<span><span>x2</span>4</span></span>)</span></span>

I simplified this in order to be able to easily take the derivative of it as such:

<span><span>A=<span><span>x+2</span>2</span>(<span><span><span>4−<span>x2</span></span>4</span><span>−−−−−−</span>√</span>)</span><span>A=<span><span>x+2</span>2</span>(<span><span>4−<span>x2</span></span>4</span>)</span></span>

<span><span>A=<span><span>x+2</span>2</span>(<span><span><span>4−<span>x2</span></span><span>−−−−−</span>√</span>2</span>)</span><span>A=<span><span>x+2</span>2</span>(<span><span>4−<span>x2</span></span>2</span>)</span></span>

<span><span>A=(<span>14</span>)(x+2)(<span><span>4−<span>x2</span></span><span>−−−−−</span>√</span>)</span><span>A=(<span>14</span>)(x+2)(<span>4−<span>x2</span></span>)</span></span>

Then I took the derivative:

<span><span><span>A′</span>=<span>14</span>[(1)(<span><span>4−<span>x2</span></span><span>−−−−−</span>√</span>)+(x+2)((<span>12</span>)(4−<span>x2</span><span>)<span>−1/2</span></span>(−2x)]</span><span><span>A′</span>=<span>14</span>[(1)(<span>4−<span>x2</span></span>)+(x+2)((<span>12</span>)(4−<span>x2</span><span>)<span>−1/2</span></span>(−2x)]</span></span>

This all simplified to:

<span><span><span>A′</span>=<span>14</span>[<span><span>4−<span>x2</span></span><span>−−−−−</span>√</span>−<span><span>2<span>x2</span>−4x</span><span><span>4−<span>x2</span></span><span>−−−−−</span>√</span></span>]</span><span><span>A′</span>=<span>14</span>[<span>4−<span>x2</span></span>−<span><span>2<span>x2</span>−4x</span><span>4−<span>x2</span></span></span>]</span></span>

Next, I set the derivative equal to zero in order to find the maximum point (I know that I can prove that it is actually a max point by taking the second derivative later)

<span><span><span>14</span>[<span><span>4−<span>x2</span></span><span>−−−−−</span>√</span>−<span><span>2<span>x2</span>−4x</span><span><span>4−<span>x2</span></span><span>−−−−−</span>√</span></span>]=0</span><span><span>14</span>[<span>4−<span>x2</span></span>−<span><span>2<span>x2</span>−4x</span><span>4−<span>x2</span></span></span>]=0</span></span><span><span><span><span>4−<span>x2</span></span><span>−−−−−</span>√</span>−<span><span>2<span>x2</span>−4x</span><span><span>4−<span>x2</span></span><span>−−−−−</span>√</span></span>=0</span><span><span>4−<span>x2</span></span>−<span><span>2<span>x2</span>−4x</span><span>4−<span>x2</span></span></span>=0</span></span><span><span><span><span>4−<span>x2</span>−2<span>x2</span>−4x</span><span><span>4−<span>x2</span></span><span>−−−−−</span>√</span></span>=0</span><span><span><span>4−<span>x2</span>−2<span>x2</span>−4x</span><span>4−<span>x2</span></span></span>=0</span></span><span><span>4−<span>x2</span>−2<span>x2</span>−4x=0</span><span>4−<span>x2</span>−2<span>x2</span>−4x=0</span></span><span><span>−3<span>x2</span>−4x+4=0</span><span>−3<span>x2</span>−4x+4=0</span></span>

so I got:

<span><span>x=−2orx=<span>23</span></span><span>x=−2orx=<span>23</span></span></span>

<span><span>x=−2</span><span>x=−2</span></span> wouldn't make sense so I chose <span><span>x=<span>23</span></span><span>x=<span>23</span></span></span> and plugged it back into my original formula for the area of this trapezoid but my answer doesn't seem to match any of the multiple choice solutions. Where did I go wrong?

calculus optimization
6 0
3 years ago
Read 2 more answers
. You have 12 pennies in your pocket. Of those pennies, 3 are Canadian. Suppose you pick a penny out of your pocket at random. F
erik [133]

Answer:

The answer is A 3/4

Step-by-step explanation:

If you have 12 pennies and 3 are Canadian then that 9/12 that aren't Canadian. 12 divided by 3 is 4 and 6 divided by 3 is 3 making it 3/4 when it's simplified

8 0
2 years ago
Which sentence is true? e) 2.70=2.07 f)2.7&lt;2.8 g)2.7&gt;27
Damm [24]
The correct answer would be F
5 0
3 years ago
Read 2 more answers
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