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3 years ago

Find the length of AB

Mathematics

1 answer:

AleksandrR [38]3 years ago

8 0

Answer:

6.4

Step-by-step explanation:

A(3, 9)

B(8, 5)

$\sqrt{(3-8)^{2} +(9-5)^{2} }$

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The line integral of xydx×x^2y^3dy where c is the triangle with points (0,0) (1,0) (1,2) using green's theorem

lyudmila [28]

If $\mathcal C$ is the boundary of the triangle $D$ , then by Green's theorem

$\displaystyle\int_{\mathcal C}xy\,\mathrm dx+x^2y^3\,\mathrm dy=\iint_D\left(\frac{\partial(x^2y^3)}{\partial x}-\frac{\partial(xy)}{\partial y}\right)\,\mathrm dA$
$=\displaystyle\int_{x=0}^{x=1}\int_{y=0}^{y=2x}(2xy^3-x)\,\mathrm dy\,\mathrm dx$
$=\displaystyle\int_{x=0}^{x=1}x\int_{y=0}^{y=2x}(2y^3-1)\,\mathrm dy\,\mathrm dx$
$=\displaystyle\int_{x=0}^{x=1}x(8x^4-2x)\,\mathrm dx=\frac23$

4 0

3 years ago

If m<6=72, then m<7=

Law Incorporation [45]

Answer:

If M<6=72

Step-by-step explanation:

Then What is M

M=72/6 =12

so M<7=12 by 7=84

therefoe M<7=84

7 0

3 years ago

The attic shown is a triangular prism. Insulation will be placed inside the walls, not including the floor. Find the surface are

maria [59]

Answer:

$1,125\ ft^{2}$

Step-by-step explanation:

we know that

The surface area of the triangular prism that will be covered with insulation is equal to the area of the two triangular faces plus the two lateral rectangular faces

$SA=2[\frac{1}{2}(15)(15)]+2[(30)(15)]= 1,125\ ft^{2}$

3 0

3 years ago

The average monthly mortgage payment including principal and interest is $982 in the united states. if the standard deviation is

Aleonysh [2.5K]

The probability that the monthly payment is more than $1000 will be found as follows;
The payment is normally distributed, thus the z-score will be given by:
Z-score=(x-Mean)/(SD)
Mean=$982
SD=$180
Thus;
Z-score=(1000-982)/180=0.1
The probability associated with a z-score of 0.1 is 0.5398
Thus the probability that the monthly payment is more than $1000 will be:
P(x<1000)=1-0.5398=0.4602=46.02%

5 0

3 years ago

I will give brainliest for right answer

Nastasia [14]

Answer:

B is correct

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers