Micheal records the number of miles he runs each week for nine weeks.

jarptica [38.1K]

<h3>1.Area of the parallelogram= 288 square units</h3><h3>2.Area of the parallelogram=45 $m^2$ </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 $cm^2$ </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) $m^2$

=45 $m^2$

3 .

Height = 4 in and parallel sides are 12 in and 5 in

Area of the trapezoid = $\frac {1}{2} \times( {\textrm{sum of the parallel sides}}) \times height$

$=\frac{1}{2} \times (12+5) \times 4$ square in.

= 34 square in.

4.

Height = 2 ft and parallel sides are 2 ft and 6 ft

Area of the trapezoid = $\frac {1}{2} \times( {\textrm{sum of the parallel sides}}) \times height$

$=\frac{1}{2} \times (2+6) \times 2$ square ft

= 8 square ft

5.

Diagonals are 6 cm and 9 cm.

Area of the rhombus $= \frac{1}{2}\times {\textrm{product of diagonals}$

$=\frac{1}{2 } \times 6\times 9$ square cm

= 27 square cm

6. Diagonals are 12 in and 18 in

Area of the rhombus $= \frac{1}{2}\times {\textrm{product of diagonals}$

$=\frac{1}{2 } \times 12\times 18$ 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 = $\frac {1}{2} \times 14 \times 12$ $cm^2$

=84 $cm^2$

9.Given , the base of trapezoid are 24 ft and 16 ft and height is 12 ft

Area of the trapezoid = $\frac {1}{2} \times( {\textrm{sum of the parallel sides}}) \times height$

= $\frac{1}{2} \times (24+16) \times 12$ square ft

= 240 square ft

8 0

3 years ago

22. A question bank has questions of Physics and

trasher [3.6K]

Step-by-step explanation:

Let the number of books of Physics be x . Then , No. of chemistry books =3.5x

Now , according to question :

x+3.5x=90

Or , 4.5x=90

Or , x=90/4.5

Or , x=20

Now ,

3.5x= 3.5×20

= 70

Therefore , there were 70 chemistry books and 20 physics books in that question bank.

7 0

3 years ago

What is the value of y in the equation: xy =k if x=12 and k=3

andreyandreev [35.5K]

The value of y is -9

5 0

4 years ago

Explain, in writing, what each parameter in the given function has on the graph of its parent function. (4 Points) () = −cos(1/2

Andrew [12]

Answer:

The parameters in the parent function are:

the parameter correspondig to - 3 in the given function is 0 in the parent function.
the parameter corresponding to 1/2 in the given function is 1 in the parent function, and
the parameter corresponding to - 1 in the given function is 1 in the parent function.

Explanation:

The given function is $f(x)=-cos(x/2)-3$ .

The parent function of $f(x)=-cos(x/2-3)\text{ }is\text{ }h(x)=cosx$ . The parameters of the given function are -1 (which is mutlyplying the value of cosine, 1/2 which is multiplying the argument (x), and - 3 which is subtracted.