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2 years ago

Need help solving for A

Mathematics

1 answer:

FromTheMoon [43]2 years ago

7 0

I hope this helps you

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Plssssss help me plssssssssss

vodomira [7]

Answer:

x = -1

y = 4

Step-by-step explanation:

i believe this shape is a rhombus because the diagonals are perpendicular and bisectors, meaning m∡A = m∡B = m∡C = m∡D

so AC = CB = BC = DA

y + 1 = 2y - 3

1 = y - 3

4 = y

Plugging in 4 for 'y' means all sides are equal to 5

find x: 2x + 7 = 5

2x = -2

x = -1

3 0

3 years ago

Water is leaking out of a large barrel at a rate proportional to the square rooot of the depth of the water at that time. If the

sdas [7]

Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let $y(t)$ be the depth of water in the barrel at time $t$ , where $y$ is measured in inches and $t$ in hours.

We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

$\frac{dy}{dt}=-k\sqrt{y}$

where $k$ is a constant of proportionality.

Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by $\frac{1}{\sqrt{y}}$

$\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k$

Multiply by $dt$

$\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt$

Take integral

$\int \frac{1}{\sqrt{y}}\cdot dy=\int-k\cdot dt$

Integrate

$2\sqrt{y}=-kt+C$

Isolate $y$

$y(t)=(\frac{C}{2} -\frac{k}{2}t)^2$

We know that the water level starts at 36, this means $y(0)=36$ . We use this information to find the value of $C$ .

$36=(\frac{C}{2} -\frac{k}{2}(0))^2\\C=12$

$y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2$

At t = 1, y = 34

$34=(6 -\frac{k}{2}(1))^2\\k=12-2\sqrt{34}$

So our formula for the depth of water in the barrel is

$y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\$

To find the time, $t$ , at which all the water leaks out of the barrel, we solve the equation

$\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49$

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

5 0

3 years ago

What is the answer to 11-(-5)

joja [24]

11 - (-5) = 16. Hope that helped!

3 0

3 years ago

Find all the solutions on the interval [0,2π).

strojnjashka [21]

Answer:

hope this helps

.look it once

6 0

2 years ago

At a coffee shop 55% of customers buy a coffee drink, 30% buy food, and 25% buy both coffee and food. What is the probability th

svetoff [14.1K]

Answer:

85%

Step-by-step explanation:

with OR (as opposed to AND), you add probabilitites

with AND, you multiply them

P(coffee OR food) = .55 + .30 = .85

6 0

2 years ago