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3 years ago

Which of the following sets of numbers could represent the three sides of a right triangle?

Mathematics

1 answer:

NARA [144]3 years ago

7 0

Answer:

16,30.34

Step-by-step explanation:

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Laura spent 4/3 of her savings on a new CD which equivalent fraction shows the amount Laura spent? 1/9, 2/8, 1/3, or 2/3

Sholpan [36]

Round 4/3 to the nearest half you should come up with 2/3

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3 years ago

In which quadrant does the point (-4,15) lie

Ivanshal [37]

Quadrant one

Hope this helped

7 0

3 years ago

12. What value of c would make x = 4 in the equation 5 + cx = 13 ?

Pavel [41]

Plug in 4 for x and solve equation like so. c=2

4 0

3 years ago

Find gradient xe^y + 4 ln y = x² at (1, 1)

cricket20 [7]

$xe^y+4\ln y=x^2$

Differentiate both sides with respect to x, assuming y = y(x).

$\dfrac{\mathrm d(xe^y+4\ln y)}{\mathrm dx}=\dfrac{\mathrm d(x^2)}{\mathrm dx}$

$\dfrac{\mathrm d(xe^y)}{\mathrm dx}+\dfrac{\mathrm d(4\ln y)}{\mathrm dx}=2x$

$\dfrac{\mathrm d(x)}{\mathrm dx}e^y+x\dfrac{\mathrm d(e^y)}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

$e^y+xe^y\dfrac{\mathrm dy}{\mathrm dx}+\dfrac4y\dfrac{\mathrm dy}{\mathrm dx}=2x$

Solve for dy/dx :

$e^y+\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x$

$\left(xe^y+\dfrac4y\right)\dfrac{\mathrm dy}{\mathrm dx}=2x-e^y$

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2x-e^y}{xe^y+\frac4y}$

If y ≠ 0, we can write

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{2xy-ye^y}{xye^y+4}$

At the point (1, 1), the derivative is

$\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=1,y=1}=\boxed{\dfrac{2-e}{e+4}}$

4 0

3 years ago

it takes 5 men 35 minutes to peel a quantity of potatoes . How long will it take 3 men to peel the same quantity?

alisha [4.7K]

Answer:

175/3 minutes

Step-by-step explanation:

Assume that each man peel potatoes at the same rate

The time required

= 5 x 35 / 3

= 175/3 minutes

3 0

3 years ago