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2 years ago

The length of a rectangle is 5 meters less than its width. The perimeter is 78 meters. Find the dimensions of the rectangle

Mathematics

1 answer:

Alika [10]2 years ago

6 0

Answer:

above is the solution to the question

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Anyone understand this?

Marrrta [24]

I hope this helps you

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3 years ago

Ryan made 65 ounces of apple jelly. He put the same amount of jelly into 6 jars. How much jell is in each jar.

RUDIKE [14]

Answer:

11 jelly is in each jar

Step-by-step explanation:

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3 years ago

Read 2 more answers

Please help Ladder question!!

PIT_PIT [208]

Answer:

Step-by-step explanation:

This is a related rates problem from calculus using implicit differentiation. The main equation is going to be Pythagorean's Theorem and then the derivative of that. Pythagorean's Theorem is

$x^2+y^2=c^2$ where c is the hypotenuse and is a constant. Therefore, the derivative of this with respect to time, and using implicit differentiation is

$2x\frac{dx}{dt}+2y\frac{dy}{dt}=0$ and dividing everything by 2 to simplify a bit:

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ . Upon analyzing that equation, it looks like we need values for x, y, $\frac{dx}{dt}$ , and $\frac{dy}{dt}$ . And here's what we were given:

$\theta=45$ and $\frac{dx}{dt}=.5$ In the greater realm of things, that's nothing at all.

BUT we can use the right triangle and the angle we were given to find both x and y. The problem we are looking to solve is to

Find $\frac{dy}{dt}$ at the instant that $\frac{dx}{dt}$ = .5.

Solving for x and y:

$tan45=\frac{x}{6}$ and

6tan45 = x ( and since this is a 45-45-90 triangle, y = x):

$6(\frac{\sqrt{2} }{2})=x=y$ so

$x=y=3\sqrt{2}$ and now we can fill in our derivative. Remember the derivative was found to be

$x\frac{dx}{dt}+y\frac{dy}{dt}=0$ so

$3\sqrt{2}(\frac{1}{2})+3\sqrt{2}\frac{dy}{dt}=0$ and

$\frac{3\sqrt{2} }{2}+3\sqrt{2} \frac{dy}{dt}=0$ and

$3\sqrt{2}\frac{dy}{dt}=-\frac{3\sqrt{2} }{2}$ and multiplying by the reciprocal of the left gives us:

$\frac{dy}{dt}=-\frac{3\sqrt{2} }{2}(\frac{1}{3\sqrt{2} })$ so

$\frac{dy}{dt}=-\frac{1}{2}\frac{m}{s}$

8 0

3 years ago

Kenzie is putting the family vacation videos onto a flash drive. The flash drive can hold 200 minutes of video. Kenzie has used

gladu [14]

Answer:

90 minutes

Step-by-step explanation:

In order to calculate a percentage of the minutes of video we simply need to divide the percentage by 100 and then multiply that value by the total number of minutes that the flash drive can hold. Since we are given this total number of minutes then we can simply plug it in and solve for x which represents the percentage of memory used in minutes.

x = 200 * (45 / 100)

x = 200 * 0.45

x = 90 minutes

Therefore, Kenzie has already used 90 minutes of video on the flash drive.

3 0

3 years ago

Please help asappppppp tysm <3

siniylev [52]

Answer:

h= -144

Step-by-step explanation:

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2 years ago