In cubic meters, what is the total volume of seawater needing to be displaced in order to lift the sailboat to the surface

What is 4 over 15 plus negative 7 over 45

IgorLugansk [536]

Answer:

If what I think youre saying is correct, then it should be 1/9

Step-by-step explanation:

4/15 + (-7/45)

Multiply both numerator and denominator of 4/15 by 3 so that the denominator becomes 45 to match the other fraction.

12/45 + (-7/45)

As the fraction on the right side is negative, it is taken away from the left fraction, hence:

(12 - 7)/45

Therefore, with simple subtraction,

5/45

Simplify to 1/9

8 0

3 years ago

The measure of each angles

Aleks [24]

Supplementary angles is when 2 angles add up to 180 degrees.

We will name the smaller angle a and the bigger angle b.

therefore:

b - 172.6 = a

a + b = 180

Now we substitute:

a + b = 180
b - 172.6 + b = 180
2b - 172.6 = 180
2b = 352.6
b = 176.3

To find a:

a + b = 180
a + 176.3 = 180
a = 3.7

Therefore,

angle a = 3.7 degrees
angle b = 176.3 degrees.

Hope it helps and have a great day ahead

4 0

4 years ago

A company wants to select 1 project from a set of 4 possible projects. Which of the following constraints ensures that only 1 wi

Elza [17]

Given:

A company wants to select 1 project from a set of 4 possible projects.

Consider the options are:

a. $X_1+X_2+X_3+X_4=1$

b. $X_1+X_2+X_3+X_4\leq 1$

c. $X_1+X_2+X_3+X_4\geq 1$

d. $X_1+X_2+X_3+X_4\geq 0$

To find:

The constraints that ensures only 1 will be selected.

Solution:

It is given that the company wants to select 1 project from a set of 4 possible projects. It means the sum of selected projects must be equal to 1.

$X_1+X_2+X_3+X_4=1$

Therefore, the correct option is (a).

8 0

3 years ago

Bubba Bulldog and all of his dog friends love to hide bones! Bubba hid 444 bones, Barry hid 555 bones, Larry hid 101010 bones, a

Nezavi [6.7K]

Answer:

58330.5 bones

Step-by-step explanation:

Essentially mean is taking the total and dividing that by the number of items.

Here, we need to add up all the bones and divide it by the number of dogs there are:

444 + 555 + 101010 + 131313 = 233322 bones

There are 4 dogs:

233322 / 4 = 58330.5 bones

4 0

3 years ago

Read 2 more answers

Find the solution of the problem (1 3. (2 cos x - y sin x)dx + (cos x + sin y)dy=0.

lakkis [162]

Answer:

$2*sin(x)+y*cos(x)-cos(y)=C_1$

Step-by-step explanation:

Let:

$P(x,y)=2*cos(x)-y*sin(x)$

$Q(x,y)=cos(x)+sin(y)$

This is an exact differential equation because:

$\frac{\partial P(x,y)}{\partial y} =-sin(x)$

$\frac{\partial Q(x,y)}{\partial x}=-sin(x)$

With this in mind let's define f(x,y) such that:

$\frac{\partial f(x,y)}{\partial x}=P(x,y)$

and

$\frac{\partial f(x,y)}{\partial y}=Q(x,y)$

So, the solution will be given by f(x,y)=C1, C1=arbitrary constant

Now, integrate $\frac{\partial f(x,y)}{\partial x}$ with respect to x in order to find f(x,y)

$f(x,y)=\int\ 2*cos(x)-y*sin(x)\, dx =2*sin(x)+y*cos(x)+g(y)$

where g(y) is an arbitrary function of y

Let's differentiate f(x,y) with respect to y in order to find g(y):

$\frac{\partial f(x,y)}{\partial y}=\frac{\partial }{\partial y} (2*sin(x)+y*cos(x)+g(y))=cos(x)+\frac{dg(y)}{dy}$

Now, let's replace the previous result into $\frac{\partial f(x,y)}{\partial y}=Q(x,y)$ :

$cos(x)+\frac{dg(y)}{dy}=cos(x)+sin(y)$

Solving for $\frac{dg(y)}{dy}$

$\frac{dg(y)}{dy}=sin(y)$

Integrating both sides with respect to y:

$g(y)=\int\ sin(y) \, dy =-cos(y)$

Replacing this result into f(x,y)

$f(x,y)=2*sin(x)+y*cos(x)-cos(y)$

Finally the solution is f(x,y)=C1 :

$2*sin(x)+y*cos(x)-cos(y)=C_1$

7 0

3 years ago