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Aneli [31]
3 years ago
14

What are the lengths of the legs of triangle ABC?

Mathematics
1 answer:
mel-nik [20]3 years ago
3 0
I can't see the image but for this do the Pythagorean Theorem, a2+b2=c2 (2 is squared)
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If a backpack was discounted 10% and on sale for $37.80, what is the original price?
Cloud [144]
The original price is @42. To check, find 10% of $42, which is $4.2. Now just subtract $4.2 from the original price, $42, and you get $37.8
7 0
3 years ago
Farmer Ed has 800 meters of​ fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fen
slega [8]

Answer:

Therefore the dimension of the plot is 400 m × 200 m.

The area of the plot is = 80000 m²

Step-by-step explanation:

Given that a farmer ED has 800 meters of fencing, and wants to enclose a rectangular plot that borders on a river.

Let the length of side along river side be L.

And the width of the plot be be W.

Since the farmer does not fence the river side.

So the length of fence = (L+2w) m

According to the problem,

(L+2w) = 800

⇒L=800 - 2w

Therefore the area of the plot is A = Length ×width

                                                         = (L×W) m²

                                                        =[(800-2W)W] m²

For maximum or minimum \frac{dA}{dW}=0

∴ A =(800-2W)W

⇒A = 800 W -2W²

Differentiating with respect to W

\frac{dA}{dW} = 800 -2.(2W)

\Rightarrow \frac{dA}{dW} = 800 -4W

For maximum or minimum \frac{dA}{dW}=0

\Rightarrow 0 = 800 -4W

\Rightarrow W= \frac{800}{4}

⇒W=200

Again,

\frac{dA}{dW} = 800 -4W

Again differentiating with respect to W

\frac{d^2A}{dW^2}= -4

\therefore[ \frac{d^2A}{dW^2}]_{W=200}= -4

When \frac{d^2A}{dW^2} , then the area A is maximum at W=200.

When \frac{d^2A}{dW^2}>0 , then the area A is minimum at W=200.

Therefore at W= 200 m , the area of the plot maximum at   W=200m

The length of the plot is L = [800- (2×200)] = 400 m

Therefore the dimension of the plot is 400 m × 200 m.

The area of the plot is = (400× 200) m²

                                      = 80000 m²

3 0
3 years ago
In the year 2005, a person bought a new car for $24500. For each consecutive year
Dafna1 [17]
$20090

because, in three years it would have depreciated by 18% (9%*3=18) so you would subtract 18% off of $24500
7 0
3 years ago
Read 2 more answers
Find the value of the trigonometric ratio.
olchik [2.2K]

Answer:

30 / 34 and 15/17 simplified.

Step-by-step explanation:

cos = adjacent / hypotenuse

adjacent is the (base) which is 30 and hypotenuse is the longest side which is 34

7 0
2 years ago
given the numbers 6, 8, 10, and 20, what number when added would make the average of all five numbers 12? 1. (4) 2. (10) 3. (16)
bogdanovich [222]

Answer:

16

Step-by-step explanation:

6+8+10+20=44+16= 60 divided by 5 is 12

7 0
3 years ago
Read 2 more answers
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