Answer:
Step-by-step explanation:
<em>Replace it with y</em>
<em>Exchange the values of x and y</em>
<em>Solve for y</em>
<em>Subtracting 1 from both sides</em>
<em>Dividing both sides by 2</em>
<em>Replace it by </em>
So,
Answer:
Part 1)
Part 2)
Part 3)
Step-by-step explanation:
see the attached figure with letters to better understand the problem
step 1
In the right triangle ABC
we know that
The triangle ABC is a
so
Is an isosceles right triangle
The legs are equal
therefore
AC=AB
step 2
Find the length side BC
Applying the Pythagorean Theorem]
step 3
Find the value of y
In the right triangle BCD
----> by SOH (opposite side divided by the hypotenuse)
Remember that
so
step 4
Find the value of z
In the right triangle BCD
----> by CAH (adjacent side divided by the hypotenuse)
Remember that
so
Answer:
Lana can put 24 drops of bubble bath for her sister
Step-by-step explanation:
If package says to put in a drop of bubble bath for every half gallon of water in the bath tub.
If the bathtub can hold 12 gallons of water
There are 12÷1/2 gallon
=12×2/1
=24
It means there are 24 half gallons in the bathtub
If every half gallon of water requires a drop of the bubble bath
Then,
24 half gallons of water requires 24 drops of the bubble bath
We are going to define the following variables:
A: Area of the original figure.
k: scale factor.
We have that the area of the new figure (reduced or enlarged, depends on the value of k) is:
A '= k ^ 2 * A
Example: rectangle of dimensions (2) * (3) A factor of k = 2 is extended. Find the new area.
The original area is:
A = (2) * (3) = 6
The new area will be:
A '= (2 * 2) * (2 * 3) = 4 * 6 = 24
Or equivalently:
A '= k ^ 2 * A
A '= (2) ^ 2 * (6) = 4 * 6 = 24