Evaluate the expression when n=3 60n(2

What is the area of the rectangle? shoe your work! do not round anything until the very end and round your final answer to the t

weeeeeb [17]

Answer:

The area of the rectangle is 42 units^2

Step-by-step explanation:

we know that

The area of rectangle is equal to

$A=LW$

In this problem

AB=DC

BC=AD

see the attached figure with letters to better understand the problem

we have that

$L=BC\\W=AB$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have the points

$A(2,-1),B(5,2),C(12,-5),D(9,-8)$

Find out the distance BC

we have

$B(5,2),C(12,-5)$

substitute in the formula

$d=\sqrt{(-5-2)^{2}+(12-5)^{2}}$

$d=\sqrt{(-7)^{2}+(7)^{2}}$

$d_B_C=\sqrt{98}\ units$

Find out the distance AB

we have

$A(2,-1),B(5,2)$

substitute in the formula

$d=\sqrt{(2+1)^{2}+(5-2)^{2}}$

$d=\sqrt{(3)^{2}+(3)^{2}}$

$d_A_B=\sqrt{18}\ units$

Find out the area

$A=(L)(W)$

we have

$L=d_B_C=\sqrt{98}\ units$

$W=d_A_B=\sqrt{18}\ units$

substitute

$A=(\sqrt{98})(\sqrt{18})=42.0\ units^2$

4 0

4 years ago

The table shows the estimated number of lines of code written by computer programmers per hour when x people are working. A 2-co

Nastasia [14]

Answer:

We make the table of these values at different values of x.

x A B C D

2 66.66 49.3 52.5 50

4 94.57 71.44 106.3 104

6 134.14 103.57 160.1 158

8 190.27 150.14 213.9 212

10 269.91 217.64 267.7 266

12 382.85 315.5 321.5 320.

Hence, the function that best represents the data is:

Option C.

y=26.9x-1.3

Step-by-step explanation:

4 0

3 years ago

For a craft, each student will need five rubber bands. There are eight students. What rubber bands come in bags of 9. How many b

gizmo_the_mogwai [7]

Answer:

In total 5 packets of rubber bands are needed.

Out of which 5 rubber bands are left.

Step-by-step explanation:

The number of rubber bands needed by 1 student = 5

The total number of students = 8

So, the total rubber bands needed by all students

= Total students x Number of rubber bands needed by 1 student

= 8 x 5 = 40 bands

Now 1 packet of rubber bands = 9 bands

⇒ 2 packets = 2 x ( 9 bands) = 18 bands

⇒ 3 packets = 3 x ( 9 bands) = 27 bands

Similarly, 4 packets = 36 bands , 5 packets = 45 bands

Now, if we buy 4 packet of bands, there are 36 rubber bands which are LESS THAN THE TOTAL STUDENTS.

So, we buy 5 packets.

We have in total 45 bands, but the total students = 40

So, the number of left rubber bands = Total bands - Total students

= 45 - 40 = 5

Hence, in total 5 packets of rubber bands are needed, and out of which 5 rubber bands are left.

5 0

3 years ago

Which of the following is the correct graph of the compound inequality 4p+1>-7 or 6p+3<33

IRISSAK [1]

The answer is the first one. p>-2 and p<5. you must choose the first one because the circle is uncoloured

4 0

3 years ago

Read 2 more answers

Which statement is true about the graphed function?

DaniilM [7]

Answer:

D is the answer to the question

3 0

3 years ago

Evaluate the expression when n=3 60n(2 - n) = ?