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3 years ago

14

The figure below shows square ABCD inscribed on square PQRM on a coordinate plane. Which of the following expressions represents

the perimeter of triangle BRC in units

1 answer:

klasskru [66]3 years ago

3 0

Answer:

.................................

Step-by-step explanation:

55555555

You might be interested in

Consider the following functions:

inna [77]

33333333333333333333

4 0

3 years ago

1. Find the sum of the series (IMAGE) . Show your work.

pav-90 [236]

<u>QUESTION 1 ANSWER</u>

The series is

$\sum_{n=1}^{15}{ (2n-1)}$

So the nth term of this sequence is

$U_n=2n-1$

We generate some few terms of the sequence as follows:

When $n=1$ ,

The first term of the sequence becomes,

$U_1=2(1)-1$

$U_1=1$

When $n=2$ ,

$U_2=2(2)-1$

$U_2=3$

When $n=3$ ,

$U_2=2(3)-1$

$U_2=5$

The constant difference is $d=2$ .

The sum of the series is given by,

$S_n=\frac{n}{2}(2a+(n-1)d)$

There are 15 terms in the series, therefore $n=15$

$S_{15}=\frac{15}{2}(2(1)+(15-1)2)$

$S_{15}=\frac{15}{2}(2+14(2))$

$S_{15}=\frac{15}{2}(30)$

$S_{15}=15\times 15$

$S_{15}=225$

<u>ANSWER TO QUESTION 2</u>

The bottom row has $23$ boxes. This means $a=U_1=23$

a) Since each row has 3 fewer boxes $d=-3$ .

The nth row is given by,

$U_n=23+(n-1)\times(-3)$

$U_n=23+-3n+3$

$U_n=23-3n$

The top row is the 6th row, meaning $n=6$ .

$U_6=23-3(6)$

$U_6=23-18$

$U_6=5$

b) The number of boxes in the entire display is given by

$S_n=\frac{n}{2} (a+l)$

Where $a=23$ , the first term(row) and $l=5$ , the last term(row).

Since there are 6 rows,

$S_6=\frac{6}{2} (23+5)$

$S_6=3 (28)$

$S_6=84$

<u>ANSWER TO QUESTION 3</u>

The number of visitors in the first week is $a=5$ .

Since the number of visitors each week is doubled the number of visitors in the subsequent weeks, the sequence is a geometric progression with a common ratio of $r=2$ .

The general term of a geometric sequence is

$U_n=ar^{n-1}$

So in the 8th week, we have

$U_8=5\times 2^{8-1}$

$U_8=5\times 2^{7}$

$U_8=5\times 128$

$U_8=640$

Hence 640 people visited the website in the 8th week

4 0

3 years ago

The Johnson family's budget was $3,200 in September. If they spend 8% of their monthly budget on entertainment. How much money d

Alekssandra [29.7K]

Answer:

256

Step-by-step explanation:

3200 x 0.08 = 256

7 0

3 years ago

A local 4-H club surveyed its members, and the following information was obtained: 14 members had rabbits, 10 had goats, 4 had b

Fiesta28 [93]

A) 68.29%
B) 34.15%
C) 24.39%

8 0

4 years ago

PLZZZZ HELLPP 50 POINTS TO WHO CAN ANSWER CORRECTLY

finlep [7]

For this case we are going to assume that Nina wrote:
3/4 (1440) + 295.25 + (-33.50).
The expression is correct since we have:
ticket sales were three-fourths as much as yesterday. That means
3/4 (1440)
food sales were down by $ 33.50, that means:
295.25 + (-33.50)
Therefore, today's sales were:
3/4 (1440) + 295.25 + (-33.50).
answer
Nina's expression is correct

5 0

4 years ago

Read 2 more answers