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2 years ago

12

What is the area of the parallelogram QRST?

1 answer:

jonny [76]2 years ago

8 0

$\text{Area of parallelogram QRST} = QR \times TU = 20 ~in \times 18~in =360 in^2$

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Use the method illustrated in the solutions to Exercise 9.2.39 to answer the following questions. (a) How many ways can the lett

Jobisdone [24]

Answer:

(a) 720 ways

(b) 120 ways

(c) 24 ways

Step-by-step explanation:

Given

$Word = DANCER$

$n =6$ --- number of letters

Solving (a): Number of arrangements.

We have:

$n =6$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =6!$

This gives:

$Total =6*5*4*3*2*1$

$Total =720$

Solving (b): DA as a unit

DA as a unit implies that, we have:

[DA] N C E R

So, we have:

$n = 5$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =5!$

This gives:

$Total =5*4*3*2*1$

$Total =120$

Solving (c): NCE as a unit

NCE as a unit implies that, we have:

D A [NCE] R

So, we have:

$n = 4$

So, the number of arrangements is calculated as:

$Total =n!$

This gives:

$Total =4!$

This gives:

$Total =4*3*2*1$

$Total =24$

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2x%7D%20%2B%2012%20%3D%20x%20%2B%208%20" id="TexFormula1" title=" \sqrt{2x} + 12

Helga [31]

First note that $x\ge0$ ; otherwise $\sqrt{2x}$ is undefined as long as we're only looking for real solutions.

We can write

$\sqrt{2x}+12=x+8$
$\sqrt{2x}=x-4$
$2x=(x-4)^2$
$2x=x^2-8x+16$
$x^2-10x+16=0$
$(x-8)(x-2)=0$

$\implies x=8,x=2$

4 0

3 years ago

4x + y =3<br> x + y - z = 9<br> 2x + 2y + z = 0

uranmaximum [27]

Answer:

$[0, 3, -6]$

Step-by-step explanation:

{4x + y = 3

{x + y - z = 9 ←

{2x + 2y + z = 0 ←

{4x + y = 3

{3x + 3y = 9 >> Combined equation

−¾[4x + y = 3]

{−3x - ¾y = −2¼ >> New Equation

{3x + 3y = 9

_________

2¼y = 6¾

___ ___

2¼ 2¼

$y = 3$ [Plug this back into all three equations to get the z-value of −6, and the x-value of 0]; $0 = x$ ; $-6 = z$

I am joyous to assist you anytime.

4 0

3 years ago

Finding first six terms of a sequence

Jlenok [28]

2, 4, 6, 8, 10, 12

difference is 2

6 0

3 years ago

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There are 480 jellybeans in an 8-ounce jar. How many jellybeans are there per ounce in the jar?

Alja [10]

The answer would be 60. This is because 480/8=60.

7 0

3 years ago

Read 2 more answers