3 years ago

Can the sides of a triangle have lengths 1, 7, and 11? Explain

1 answer:

6 0

Given 3 sides of a triangle, the sum of any 2 sides must be greater than the third side.

Consider the 3 given sides 1, 7 and 11

7 + 11 = 18 > 1

1 + 11 = 12 > 7

1 + 7 < 11 ⇒ not valid

Hence these sides do not form a triangle

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Masja [62]

Answer:

Length = 2 ft

Width = 7/4 ft = 1.75 ft

Step-by-step explanation:

Length of room on blueprint = 1/8 *16 = 2 ft

Width of room on blueprint = 1/8 *14 = 7/4 ft = 1.75 ft

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2 years ago

Nimfa-mama [501]

Nothing crazy here, just a matter of figuring out the limits of integration.

$\displaystyle\iiint_Ex^6e^y\,\mathrm dV=\int_{-5}^5\int_{-5}^5\int_0^{25-y^2}x^6e^y\,\mathrm dz\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_{-5}^{-5}\int_{-5}^5x^6e^y(25-y^2)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\left(\int_{-5}^5x^6\,\mathrm dx\right)\left(\int_{-5}^5e^y(25-y^2)\,\mathrm dy\right)=\boxed{\frac{625,000(3+2e^{10})}{7e^5}}$

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2 years ago

marissa [1.9K]

The answer is 7/8!!!!!!

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2 years ago

poizon [28]

Does this help? If it doesn't i can try to explain more if you want.

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2 years ago

pantera1 [17]

Say you have a box and theres one fifteen on two sides and one five on the other two side 15+15=30 and 5+5=10 and 30+10=40 and 40x2=80
Answer:$80

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2 years ago