Answer:
5
Step-by-step explanation:
We desire to evaluate the fraction:
when k=3.
This is a simple substitution, so what is required is
- Replace k with the given number
- Simplify the resulting expression
Therefore, when k=3
![\dfrac{15}{k}=\dfrac{15}{3}=5](https://tex.z-dn.net/?f=%5Cdfrac%7B15%7D%7Bk%7D%3D%5Cdfrac%7B15%7D%7B3%7D%3D5)
You can try the same for any value of k.
Answer: $31.50
Step-by-step explanation:I think; $22.50 x .40=9
$22.50+9=$31.50
Answer:
yup your answer is right
Step-by-step explanation:
two x solutions are <u>+</u>2√3
<u>+</u>2√3 can be written as +2√3 or -2√3
<h3>
1.Area of the parallelogram= 288 square units</h3><h3>
2.Area of the parallelogram=45 ![m^2](https://tex.z-dn.net/?f=m%5E2)
</h3><h3>
3.Area of the trapezoid = 34 square in.</h3><h3>
4.Area of the trapezoid = 8 square ft</h3><h3>
5.Area of the rhombus= 27 square cm</h3><h3>
6.Area of the rhombus= 108 square in</h3><h3>
7.The area of the desktop is = 1200 square in</h3><h3>
8.The area of the rhombus is =84 ![cm^2](https://tex.z-dn.net/?f=cm%5E2)
</h3><h3>
9.Area of the trapezoid = 240 square ft</h3>
Step-by-step explanation:
1.
Base =16 ft and Height = 18 ft
Area of the parallelogram = base × height
=16× 18 square units
= 288 square units
2.
Base = 9 m and height = 5 m
Area of the parallelogram = base × height
=(9×5) ![m^2](https://tex.z-dn.net/?f=m%5E2)
=45 ![m^2](https://tex.z-dn.net/?f=m%5E2)
3 .
Height = 4 in and parallel sides are 12 in and 5 in
Area of the trapezoid =![\frac {1}{2} \times( {\textrm{sum of the parallel sides}}) \times height](https://tex.z-dn.net/?f=%5Cfrac%20%7B1%7D%7B2%7D%20%5Ctimes%28%20%7B%5Ctextrm%7Bsum%20of%20the%20parallel%20sides%7D%7D%29%20%5Ctimes%20height)
square in.
= 34 square in.
4.
Height = 2 ft and parallel sides are 2 ft and 6 ft
Area of the trapezoid =![\frac {1}{2} \times( {\textrm{sum of the parallel sides}}) \times height](https://tex.z-dn.net/?f=%5Cfrac%20%7B1%7D%7B2%7D%20%5Ctimes%28%20%7B%5Ctextrm%7Bsum%20of%20the%20parallel%20sides%7D%7D%29%20%5Ctimes%20height)
square ft
= 8 square ft
5.
Diagonals are 6 cm and 9 cm.
Area of the rhombus ![= \frac{1}{2}\times {\textrm{product of diagonals}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%7B%5Ctextrm%7Bproduct%20of%20diagonals%7D)
square cm
= 27 square cm
6. Diagonals are 12 in and 18 in
Area of the rhombus ![= \frac{1}{2}\times {\textrm{product of diagonals}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B1%7D%7B2%7D%5Ctimes%20%7B%5Ctextrm%7Bproduct%20of%20diagonals%7D)
square in
= 108 square in
7. Given a desktop in the shape of a parallelogram has a base 30 in. and a height of 40 in
The area of the desktop is = (30 × 40 ) square in
= 1200 square in
8. Given , a rhombus has one diagonal that is 14 cm and other diagonal 12 cm.
The area of the rhombus =
![cm^2](https://tex.z-dn.net/?f=cm%5E2)
=84 ![cm^2](https://tex.z-dn.net/?f=cm%5E2)
9.Given , the base of trapezoid are 24 ft and 16 ft and height is 12 ft
Area of the trapezoid =![\frac {1}{2} \times( {\textrm{sum of the parallel sides}}) \times height](https://tex.z-dn.net/?f=%5Cfrac%20%7B1%7D%7B2%7D%20%5Ctimes%28%20%7B%5Ctextrm%7Bsum%20of%20the%20parallel%20sides%7D%7D%29%20%5Ctimes%20height)
=
square ft
= 240 square ft
The slope (m) represents the cost per person.