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4 years ago

What is the area of this triangle h = 5 in. b = 10 in.

Mathematics

2 answers:

Ray Of Light [21]4 years ago

5 0

Answer:

A= BH

formula for finding the area is area= base times height

therefore 5x10=50

answer is 50 in

Step-by-step explanation:

Iteru [2.4K]4 years ago

4 0

The area of a triangle is 1/2 base times height so, the answer is 25

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Consider the differential equation <img src="https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20%20%5Cfrac%7Bdy%7D%7Bdx%7D%20%3D6%20y%5E%7

Nutka1998 [239]

As a Bernoulli equation:

$x^2\dfrac{\mathrm dy}{\mathrm dx}=6y^2+6xy\iff x^2y^{-2}\dfrac{\mathrm dy}{\mathrm dx}-6xy^{-1}=6$

Let $z=y^{-1}\implies\dfrac{\mathrm dz}{\mathrm dx}=-y^{-2}\dfrac{\mathrm dy}{\mathrm dx}$ . The ODE becomes

$-x^2\dfrac{\mathrm dz}{\mathrm dx}-6xz=6$
$x^6\dfrac{\mathrm dz}{\mathrm dx}+6x^5z=-6x^4$
$\dfrac{\mathrm d}{\mathrm dx}[x^6z]=-6x^4$
$x^6z=-6\displaystyle\int x^4\,\mathrm dx$
$x^6z=-\dfrac65x^5+C$
$z=-\dfrac6{5x}+\dfrac C{x^6}$
$y^{-1}=-\dfrac6{5x}+\dfrac C{x^6}$
$y=\dfrac1{\frac C{x^6}-\frac6{5x}}$
$y=\dfrac{5x^6}{C-6x^5}$

With $y(3)=6$ , we get

$6=\dfrac{5(3)^6}{C-6(3)^5}\implies C=\dfrac{4131}2$

so the solution is

$y=\dfrac{5x^6}{\frac{4131}2-6x^5}=\dfrac{10x^6}{4131-12x^5}$

which is valid as long as the denominator is not zero, which is the case for all $x\neq\sqrt[5]{\dfrac{4131}{12}}$ .

8 0

3 years ago

Jessica and Lindsay are curious as to who owns the most pairs of shoes. Jessica counter shoes and finds that she owns 18 pairs o

malfutka [58]

Answer: 13 pairs

Step-by-step explanation:

Given

Jessica owns 18 pairs of shoes

Lindsay has 72% as many as Jessica

So, the number of pairs Lindsay owns

$\Rightarrow 72\%\ \text{of}\ 18=0.72\times 18\\\\\Rightarrow 12.96\approx 13\ \text{pairs}$

4 0

3 years ago

the original plan for mr Harris's house is a rectangle that measures 40ft by 50ft. because of the increase and cost of materials

Sloan [31]

Answer: The dimesions will be decreased by 13.05%.

Step-by-step explanation:

Hi, we have to calculate the original area.

Area of a rectangle = Length x width

Replacing with the values given:

A = 40x50 = 2000 ft2

Since is reduced to 1739. if we multiply the original area by a the percentage decrease, and subtract that value to the original area, we obtain 1739 ft2.

2000 - (2000x) = 1739

Solving for x

-2000x = 1739 -2000

-2000x = -261

x =-261/-2000

x = 0.1305

Multiply by 1000 to obtain the percentage:

0.1305 x 100 = 13.05%

6 0

3 years ago

Are these triangles congruent? If so, why?

topjm [15]

Answer:

yes , by AAS

it is the correct option

8 0

3 years ago

Read 2 more answers

Factor 24k + 369 – 12 to identify the

forsale [732]

Answer:

kinda common sense

8 0

3 years ago