Domain:
{-1, 3, 6}
Range:
{4, 5, 6}
First, find the volume of the whole cube
Volume of cube = 4 x 4 x 4 = 64 cm³
The volume of sand is 25% of the volume of cube so,
Volume of sand = 25/100 x 64 = 16 cm³
Answer:
3. Tony's deposit earned $40.80 in simple interest over 3 years in an account with an interest rate of 1.7%. How much did Tony deposit?
The scale drawing of Julio's kitchen would change the kitchen size
The actual area is 243 square feet
<h3>How to determine the actual area of Julio's kitchen?</h3>
The parameters are given as:
- Length = 4.5 inches
- Width = 3.375 inches
Start by converting the dimensions to feet using the scale ratio
- Actual length = 4.5 inches/ (1 inch/ 4 feet) = 18 feet
- Actual width = 3.375 inches/ (1 inch/ 4 feet) = 13.5 feet
The area is then calculated as:
Actual Area = Actual length * Actual Width
This gives
Actual Area =18 feet * 13.5 feet
Evaluate the product
Actual Area = 243 square feet
Hence, the actual area is 243 square feet
Read more about scale drawings at:
brainly.com/question/8975579
<span> we know the length of the cable is 9m.
That means the magnitude of </span><span><span>r<span><span><span>AB</span></span><span></span></span></span>=9</span><span>m.
The unit vector, denoted u, is each of </span><span>r<span><span><span>AB</span></span><span></span></span></span><span> divided by the magnitude.
</span>u=<span>(<span><span>x/9</span><span></span></span>i−<span>y/9<span></span></span>j−<span>z/9<span></span></span>k<span>)
</span></span><span>We can also figure out the unit vector of F.
</span>u=(350i - 250j - 450k)/√(350² +(-250)² +(-450)²)
u=0.562i−0.401j−0.723<span>k
</span>
<span>Force F is directed from point A to B, then both unit vectors must be equal.
Therefore
</span>(x/9i−y/9j−z/9k)=0.562i−0.401j−0.723k
<span>We can now solve for each term
x/9=0.562----- > x=5.058 m
-y/9=-0.401--------- > y=3.609 m
-z/9=-0.723------- > z=6.507 m
The answer is
the coordinates of point a
(5.058,3.609,6.507)
</span>
