What is a formula for the nth term of the given sequence?<br> a<br> 135, -225, 375...

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

PLZZ ANSWER THE QUESTION

Arlecino [84]

Answer:

The first one

Step-by-step explanation:

In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one. So going in that order gives you a linear function.

3 0

2 years ago

Read 2 more answers

A bacteria population experiences continuous growth. If there were 2,000 bacteria present at the start of an experiment, how lon

allochka39001 [22]

Answer:

D. About 15.69 hours.

Step-by-step explanation:

Let x be the number of hours.

We have been given that there were 2,000 bacteria present at the start of an experiment and the growth rate was 7% per hour.

Since number of bacteria is growing exponentially, so we will use exponential growth function to solve our given problem.

The continuous exponential growth formula is in form: $y=e^{kx}$ , where,

e= mathematical constant,

k = Growth rate in decimal form.

Let us convert our given rate in decimal form.

$7\%=\frac{7}{100}=0.07$

Upon substituting our given values we will get exponential function for bacteria growth as: $y=2,000*e^{0.07x}$ , where, y represents number of bacteria after x hours.

Since we need to figure out the number of hours it will take for there to be 6,000 bacteria, so we will substitute y= 6,000 in our function.

$6,000=2,000*e^{0.07x}$

Let us divide both sides of our equation by 2,000.

$\frac{6,000}{2,000}=\frac{2,000*e^{0.07x}}{2,000}$

$3=e^{0.07x}$

Let us take natural log of both sides of our equation.

$\text{ln}(3)=ln(e^{0.07x})$

$\text{ln}(3)=0.07x$

$1.0986122=0.07x$

$x=\frac{1.0986122}{0.07}$

$x=15.69446\approx 15.69$

Therefore, it will take about 15.69 hours to be 6,000 bacteria and option D is the correct choice.

3 0

3 years ago

PLEASE HELP PLEASE 9TH GRADE MATH

wel

Answer:

A

Step-by-step explanation:

I believe it is A because for perpendicular lines the slope must be the reciprocal and have the opposite sign. The y-intercept 2 matches the coordinates (-2, 2). The second number, 2, is the y coordinate.

4 0

3 years ago

In 2017, the price of gas in a certain state changed from $2.24 to $2.56. Calculate the percent of change increase in the price

Eva8 [605]

Answer:

12.5%

Step-by-step explanation:

2.56-2.24 =0.32

By using the rule of three we can find the answer.

we have that 2.56 = 100% so we have to find what percentage 0.32 represents

(0.32*100)/2.56 = 12.5

8 0

2 years ago

Read 2 more answers

What is a formula for the nth term of the given sequence? a 135, -225, 375...