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3 years ago

10a2b2-8a2b+6ab2 -5a2b2+12a2b-5

Mathematics

1 answer:

Nana76 [90]3 years ago

8 0

120a+b140 is the answer

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Can someone help me on this

nydimaria [60]

Answer:

10√3 feet

Step-by-step explanation:

In a 30-60-90 triangle;

-Long leg = long leg

-Short leg = 1/2 * long leg

-2nd longest leg = short leg * √3

-Long leg = 20

-Short leg = 1/2 * long leg = 10

-2nd longest leg = short leg * √3 = 10√3

8 0

3 years ago

Read 2 more answers

Help~~~~~~~~~~~~~~~~~~~~~~~~~

igor_vitrenko [27]

Answer:

28.25 square units

Step-by-step explanation:

A circumference of the circle is

$C=2\pi r,$

where r is the radius of the circle.

So,

$18.84=2\pi r\\ \\r=\dfrac{18.84}{2\pi}=\dfrac{9.42}{\pi}\ cm$

The area of the circle is

$A=\pi r^2$

Substitute the value of the radius:

$A=\pi \cdot \left(\dfrac{9.42}{\pi}\right)^2=\dfrac{9.42^2}{\pi}\approx 28.25\ un^2$

8 0

3 years ago

Read 2 more answers

Solve the following differential equation: (1− 5 y +x) dy/dx +y= 5/x −1 .<br><br> C=

Ganezh [65]

Answer:

$y(1+x)+x-5\ln xy=C$

Step-by-step explanation:

Consider the given differential equation is

$(1-\frac{5}{y}+x)\frac{dy}{dx}+y=\frac{5}{x}-1$

$(1-\frac{5}{y}+x)\frac{dy}{dx}=\frac{5}{x}-1-y$

$(1-\frac{5}{y}+x)dy=(\frac{5}{x}-1-y)dx$

Taking all variables on right sides.

$(1-\frac{5}{y}+x)dy-(\frac{5}{x}-1-y)dx=0$

$(-\frac{5}{x}+1+y)dx+(1-\frac{5}{y}+x)dy=0$

Let as assume,

$M=-\frac{5}{x}+1+y$ and $N=1-\frac{5}{y}+x$

Find partial derivatives $\frac{\partial M}{\partial y}$ and $\frac{\partial N}{\partial x}$

$\frac{\partial M}{\partial y}=1$ and $\frac{\partial N}{\partial x}=1$

Since $\frac{\partial M}{\partial y}=\frac{\partial N}{\partial x}$ , therefore the given differential equation is exact.

The solution of the exact differential equation is

$\int Mdx+\int N(\text{without x)}dy=C$

$\int (-\frac{5}{x}+1+y)dx+\int (1-\frac{5}{y})dy=C$

$yx-5\ln x+x+y-5\ln y=C$

$y+x+xy-5\ln x-5\ln y=C$

$y(1+x)+x-5(\ln x+\ln y)=C$

$y(1+x)+x-5\ln xy=C$

7 0

4 years ago

Half of the students in Max's class volunteer at the local community center. Fifteen students do not volunteer. If there are 12

ella [17]

Answer:

Step-by-step explanation:

15 x 2 = 30

30 - 12 = 18

18 girls are in his class

5 0

3 years ago

Read 2 more answers

A student was given two data sets, Set A and Set B. Which of the following

Elden [556K]

Answer:

I don't know were the statement are but here are the specs of each set

Step-by-step explanation:

Set A

mean; 83.83333

median; 87.5

mode; it has no mode

range; 147

Set B

mean; 67.08571

median; 3

mode; no mode

range; 376

hope this helps sorry for late answer :)

5 0

3 years ago