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djverab [1.8K]
3 years ago
8

A triangle has side lengths of 15 centimeters, 11

Mathematics
2 answers:
BabaBlast [244]3 years ago
6 0

Answer:

scalene

Step-by-step explanation:

a scalene is a triangle that all sides have different measurements

Crank3 years ago
5 0

Answer:

scalene

Step-by-step explanation:

a scalene triangle is a triangle that doesn't have any congruent sides For example, this triangle

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-7b-9k+6

Step-by-step explanation:

-4b+(-9k)-6-3b+12

(-4b-3b)+(-9k)+(-6+12)

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Find the surface area of the part of the circular paraboloid z=x^2+y^2 that lies inside the cylinder X^2+y^2=1
hichkok12 [17]

Answer:

\mathbf{\dfrac{\pi}{6}[5 \sqrt{5}-1]}

Step-by-step explanation:

Given that:

The surface area (S.A) z = x^2 +y^2

Hence the S.A is of form z = f(x,y)

Then the S.A can be represented with the equation

A(S) = \iint _D \sqrt{1+ (\dfrac{\partial z}{\partial x})^2+ (\dfrac{\partial z}{\partial y})^2} \ dA

where :

D = cylinder x^2 +y^2 =1

In polar co-ordinates:

D = {(r, θ): 0≤ r ≤ 1, 0 ≤ θ ≤ 2π)

Similarly, \dfrac{\partial z}{\partial x} = 2x and \dfrac{\partial z}{\partial y} = 2y

Therefore;

S.A = \iint_D \sqrt{1+4x^2+4y^2} \ dA

= \iint_D \sqrt{1+4(x^2+y^2)} \ dA

= \int^{2 \pi}_{0} \int^{1}_{0}  \sqrt{1+4r^2} \ r \ dr \d \theta

= [\theta]^{2 \pi}_{0} \dfrac{1}{8}\times \dfrac{2}{3}\begin {bmatrix} (1+4r^2)^{\dfrac{3}{2}}\end {bmatrix}^1_0

= 2 \pi \times \dfrac{1}{12}[5^{\dfrac{3}{2}} - 1]

\mathbf{=\dfrac{\pi}{6}[5 \sqrt{5}-1]}

6 0
3 years ago
Which of the following number lines represents the compound inequality shown below?
OLEGan [10]

Answer:

I'm not really sure what the question might be asking or if I've been given all the information but this is how you would solve it as (-2,4] meaning any real number between these will give you a real x on the domain.

Step-by-step explanation:

-4 < 3x + 2 \leqslant 14 \\  - 6 < 3x \leqslant 12 \\  - 2 < x \leqslant 4

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