Answer:
It will take her 4 1/3 hours
Step-by-step explanation: so you know you needed to add 4 and 1/3 and you turn the 4 into 4/1 and 1/3 and since it adding you have to have the same denominator and you multiply 1x3 and if you do it on the bottom you have to do it on top so you also do 4x3 and 4x3 is 12 and one 1x3 is 3 and so you don't have to have to do it on the other fraction because now they have the same denominator now and now you add 12/3 + 1/3 and you shall get 13/3 and then you divide 13 divided by 3 and you shall get 4 1/3 and that shall be your answer.
hope it helps you!
Answer:
and
.
Step-by-step explanation:
To this relation be a function, the horizontal coordinates can't be equal. So, let's find the value of
that makes those coordinates equal.

Using the null factor property, we have

Therefore, the given relation is not a function when
and
.
Since you mentioned calculus, perhaps you're supposed to find the area by integration.
The square is circumscribed by a circle of radius 6, so its diagonal (equal to the diameter) has length 12. The lengths of a square's side and its diagonal occur in a ratio of 1 to sqrt(2), so the square has side length 6sqrt(2). This means its sides occur on the lines
and
.
Let
be the region bounded by the line
and the circle
(the rightmost blue region). The right side of the circle can be expressed in terms of
as a function of
:

Then the area of this circular segment is


Substitute
, so that 


Then the area of the entire blue region is 4 times this, a total of
.
Alternatively, you can compute the area of
in polar coordinates. The line
becomes
, while the circle is given by
. The two curves intersect at
, so that


so again the total area would be
.
Or you can omit using calculus altogether and rely on some basic geometric facts. The region
is a circular segment subtended by a central angle of
radians. Then its area is

so the total area is, once again,
.
An even simpler way is to subtract the area of the square from the area of the circle.

The angles of the triangle are 39°, 51°, and 90°.
Step-by-step explanation:
Step 1:
The sum of all the angles in any triangle is equal to 180°.
We have two of the three angles in terms of x while the third angle is not given directly. Since it is a right-angled triangle, one of the angles equals 90°.
So the angles of the triangle are
and 
Step 2:
Now, we substitute all the angles to a sum of 180 to determine the value of x.


So x = 13°. The angles are

The angles of the triangle are 39°, 51°, and 90°.
Answer:
ur mum
Step-by-step explanation:
lel