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Tom [10]
3 years ago
15

The perimeter of a triangle is 27 feet. One side is 3 feet longer than the shortest side, and the longest side is twice as long

as the shortest side. How long is each side?
Mathematics
1 answer:
Iteru [2.4K]3 years ago
6 0

Answer:

Long side: 12

Middle side: 9

Shortest side: 6

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Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
Tresset [83]

Answer: The volume of largest rectangular box is 4.5 units.

Step-by-step explanation:

Since we have given that

Volume = xyz

with subject to x+2y+3z=9

So, let z=\dfrac{9-x-2y}{3}

So, Volume becomes,

V=xyz\\\\V=xy(\dfrac{9-x-2y}{3})\\\\V=\dfrac{9xy-x^2y-2xy^2}{3}

Partially derivative wrt x and y we get that

9-2x-2y=0\implies 2x+2y=9\\\\and\\\\9-x-4y=0\implies x+4y=9

By solving these two equations, we get that

x=3,y=\dfrac{3}{2}

So, z=\dfrac{9-x-2y}{3}=\dfrac{9-3-3}{3}=\dfrac{3}{3}=1

So, Volume of largest rectangular box would be

xyz=3\times \dfrac{3}{2}\times 1=\dfrac{9}{2}=4.5

Hence, the volume of largest rectangular box is 4.5 units.

4 0
3 years ago
WILL GIVE BRAINLEIST NEED TO TURN IN BY 9 P.M. PLS HURRY SUPER EASY
yuradex [85]

Answer:

y=2,1

Step-by-step explanation:

If X has to be more than 2 but less than 6 it must be 3,4,5

Because the equation is + that eliminates the answer 5

So the equation can be

3+2=5 or 4+1=5

I hope this helps!

6 0
3 years ago
Someone answer this question I know your reading this.
IgorC [24]

Answer: A.

Step-by-step explanation:

To answer this, you must first understand what fractional exponents mean.

An exponent of 1 is simply the base itself. 7^1 = 7.

An exponent of 2 is squaring the base: 7^2 = 49.

An exponent of 1/2 is taking the square root of the base: 7^(1/2) = sq root of 7

Therefore, an exponent of 1/3 is taking the cube root of the base.

In this case, the base is 2.03 * t.

Therefore, this can be represented as the cube root of the product of 2.03 and the age of the mammal, so the answer is A.

3 0
3 years ago
How could you calculate each product? Describe the strategy you would use. Then calculate.
VashaNatasha [74]
Hey there!

1. To solve 9 x 5 , I could add the number 9 five times . . .

9 + 9 + 9 + 9 + 9 = 45

9 x 5 = 45 <----

2. I would use the same strategy as the first one, except add the number 8 five times . . .

8 + 8 + 8 + 8 + 8 = 40

8 x 5 = 40 <----

Hope this helps you.
Have a great day!
8 0
3 years ago
The base of an isosceles triangle is 12 cm and its perimeter is 48 cm find its area​
NikAS [45]

I hope it helps you ❤️❤️❤️❤️❤️❤️

8 0
3 years ago
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