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3 years ago

8

( EXTRA POINTS PLEASE HELP ) you have a square that measures 5 cm as you have a triangle that has a base of 5 cm and a height of

8cm what is the total area of the square and the triangle

1 answer:

Ludmilka [50]3 years ago

7 0

Step-by-step explanation:

${5}^{2} + \frac{5 \times 8}{2} = \\ = 25 + 20 = \\ = 45$

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Which of these is one of the most expensive fees you will encounter with checking accounts?

grigory [225]

Answer:

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Step-by-step explanation:

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3 years ago

How many terms are there in the sequence 1, 8, 28, 56, ..., 1 ?

BabaBlast [244]

Answer:

9 terms

Step-by-step explanation:

Given:

1, 8, 28, 56, ..., 1

Required

Determine the number of sequence

To determine the number of sequence, we need to understand how the sequence are generated

The sequence are generated using

$\left[\begin{array}{c}n&&r\end{array}\right] = \frac{n!}{(n-r)!r!}$

Where n = 8 and r = 0,1....8

When r = 0

$\left[\begin{array}{c}8&&0\end{array}\right] = \frac{8!}{(8-0)!0!} = \frac{8!}{8!0!} = 1$

When r = 1

$\left[\begin{array}{c}8&&1\end{array}\right] = \frac{8!}{(8-1)!1!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8$

When r = 2

$\left[\begin{array}{c}8&&2\end{array}\right] = \frac{8!}{(8-2)!2!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} =2 8$

When r = 3

$\left[\begin{array}{c}8&&3\end{array}\right] = \frac{8!}{(8-3)!3!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56$

When r = 4

$\left[\begin{array}{c}8&&4\end{array}\right] = \frac{8!}{(8-4)!4!} = \frac{8!}{4!3!} = \frac{8 * 7 * 6 * 5 * 4!}{4! *4*3* 2 *1} = \frac{8 * 7 * 6*5}{4*3 *2 *1} = 70$

When r = 5

$\left[\begin{array}{c}8&&5\end{array}\right] = \frac{8!}{(8-5)!5!} = \frac{8!}{5!3!} = \frac{8 * 7 * 6 * 5!}{5! *3* 2 *1} = \frac{8 * 7 * 6}{3 *2 *1} = 56$

When r = 6

$\left[\begin{array}{c}8&&6\end{array}\right] = \frac{8!}{(8-6)!6!} = \frac{8!}{6!2!} = \frac{8 * 7 * 6!}{6! * 2 *1} = \frac{8 * 7}{2 *1} = 28$

When r = 7

$\left[\begin{array}{c}8&&7\end{array}\right] = \frac{8!}{(8-7)!7!} = \frac{8!}{7!1!} = \frac{8 * 7!}{7! * 1} = \frac{8}{1} = 8$

When r = 8

$\left[\begin{array}{c}8&&8\end{array}\right] = \frac{8!}{(8-8)!8!} = \frac{8!}{8!0!} = 1$

The full sequence is: 1,8,28,56,70,56,28,8,1

And the number of terms is 9

3 0

3 years ago

Millie has 15 counters. Sam has 8 counters. Write a sentence comparing how many counters each child has.

masya89 [10]

Answer:

Millie has 15 counters, and Sam has 8.

Step-by-step explanation:

s

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3 years ago

Which number completes the inequality?

aliya0001 [1]

The answer to it would be C.

5 0

3 years ago

PLSSS HELP ME OUT WITH THIS QUESTION, PLS PLS PLS AND PLS EXPLAIN!!!

Marina CMI [18]

Answer:

C. 15

Step-by-step explanation:

1. First, let's solve the system of equations; $-m - n = 5, m - n = -3$

Solve -m - n = 5 for m.

$-m -n = 5$
$-m-n+n=5+n$
$-m = n + 5$
$\frac{-m}{-1} = \frac{n+5}{-1}$
$m = -n - 5$

Substitute -n - 5 for m in m - n = -3.

$m - n = -3$
$-n - 5 - n = -3$
$-2n-5=-3$
$-2n-5+5=-3+5$
$-2n = 2$
$\frac{-2n}{-2} = \frac{2}{-2}$
$n = -1$

Substitute -1 for n in m = -n - 5.

$m = -n - 5$
$m = -(-1) - 5$
$m = 1 - 5$
$m = -4$

2. Okay, now that we know m = -4 and n = -1, let's solve for m^2 -n^2.

$m^2-n^2$
$(-4)^2-(-1)^2$
$16 - (-1)^2$
$16 - 1$
$15$

Therefore, the answer is C. 15!

4 0

2 years ago

Read 2 more answers