Select the correct answer from each drop-down menu.
consider this expression.
le
?
123
2
9
-
The least common denominator of the two rational terms is

Applying the trigonometry ratio and rationalization, the missing lengths are:

1. x = 12/√3; y = 2√3

2. x = 5√2; y = 5√2

3. b = 24

4. 4√3

5. 5√3

The trigonometry ratios are represented as follow:

1. To find x, apply SOH:

opp = 6

hyp = x

adj = y

∅ = 60°

Equation:

sin 60 = 6/x

x = 6/sin 60

x = 6/√3/2 (sin 60 = √3/2)

x = 6 × 2/√3

x = 12/√3

Rationalize

x = 12/√3 × √3 /√3

x = 12√3/3

x = 4√3

To find y, apply TOA:

tan 60 = 6/y

y = 6/tan 60

y = 6/√3 (tan 60 = √3)

Rationalize

y = 6/√3 × √3 /√3

y = 6√3 / 3

y = 2√3

2. To find x, apply SOH:

opp = x

hyp = 10

adj = y

∅ = 45°

Equation:

sin 45 = x/10

x = (10)(sin 45)

x = 10 × 1/√2 (sin 45 = 1/√2)

x = 10/√2

Rationalize

x = 10/√2 × √2 /√2

x = 10√2/2

x = 5√2

To find y, apply CAH:

cos 45 = y/10

y = (10)(cos 45)

y = 10 × 1/√2 (cos 45 = 1/√2)

y = 10/√2

Rationalize

y = 10/√2 × √2 /√2

y = 10√2/2

y = 5√2

3. To find b, apply Pythagorean theorem:

b = √(25² - 7²)

b = 24

4. 12/√3

Rationalize

12/√3 × √3 /√3

12√3/3

4√3

5. 15/√3 × √3 /√3

15√3 /3

5√3

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Answer:

slope

Step-by-step explanation:

Answer:

Step-by-step explanation:

use the formula: y = mx + b

where:

y = how far up the line goes

m = slope or gradient

x = how far along

b = Y-intercept

A logarithm function is a function that uses the log keyword, and it is the opposite of an exponential function

Assume the logarithm function is:

[tex]y = a\log_b(x - h) + k[/tex]

Where b represents the base of the function.

The first step is to determine the vertical asymptote of the function

The vertical asymptote of [tex]y = a\log_b(x - h) + k[/tex] is:

[tex]x = h[/tex]

The second step is to determine the x-intercepts

To do this, we set the function to 0

i.e. [tex]a\log_b(x - h) + k = 0[/tex]

The next step is to determine the y-intercepts

To do this, we set the x to 0

i.e. [tex]y = a\log_b(0- h) + k[/tex]

The next step is to plot the vertical asymptote, the intercepts and few points on the graph

Lastly the points that were plotted on the graph must be connected

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{x(x + 6) - 2(x + 6)}\\\mathsf{\rightarrow x(x) + x(6) - 2(x) - 2 (6)}\\\mathsf{\rightarrow x(x) + 6(x) - 2(x) - 2(6)}\\\mathsf{\rightarrow x^2 + 6x - 2x - 12}\\\large\text{COMBINE the LIKE TERMS}\\\mathsf{\rightarrow x^2 + (6x - 2x) - 12}\\\mathsf{\rightarrow x^2 + 4x - 12}\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x^2 + 4x - 12}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

Check your mathematics Text book...Then you can see heading True conditional statement..Check the example question then i am sure you will get the correct answer...

Answer:

Step-by-step explanation:

area of a triangle = 12 in²

area of a trapezoid = 24 in²

just combine the two shape (see image)

then add the area.

total area = 12 + 24

                = 36 in²

Answer:

Step-by-step explanation:

let the amount spent on popcorn be x and amount spent on drinks be y

If the total bill paid is  $17.94, then x+y =  $17.94

If she spend twice as much on popcorn as on drinks, then y = 2x

Substitute y = 2x into the original equation

x+y =  $17.94

x + 2x =  $17.94

3x =  $17.94

x =  $17.94/3

x = $5.98

Since y = 2x

y = 2($5.98)

y = $11.96

Therefore she spent  $5.98 on popcorn and $11.96 on drinks

Answer:

-7

Step-by-step explanation:

-9 - (-2)

If there is a negative sign in front of a negative number in parenthesis, then that makes it a positive number.

-9 + 2 = -7

Answer:

[tex]\sqrt{6} -3\sqrt{2}[/tex]

Step-by-step explanation:

[tex]\sqrt{150} -\sqrt{96} -\sqrt{162} +\sqrt{72}[/tex]

[tex]=\sqrt{25\cdot6} -\sqrt{16\cdot6} -\sqrt{81\cdot2} +\sqrt{36\cdot2}[/tex]

[tex]=\sqrt{25}\sqrt{6} -\sqrt{16}\sqrt{6} -\sqrt{81}\sqrt{2} +\sqrt{36}\sqrt{2}[/tex]

[tex]=5\sqrt{6} -4\sqrt{6} -9\sqrt{2} +6\sqrt{2}[/tex]

[tex]=\sqrt{6} -3\sqrt{2}[/tex]

Answer:

See below.

Step-by-step explanation:

a) √2 + √50 + √98

= √2 + 5√2 + 7√2

= 13√2

c) 5√7 + 2√5 - 3√28

= 5√7 + 2√5 - 6√7

= 2√5 - √7

e) √150 - √96 - √162 + √72

= 5√6 - 4√6 - 9√2 + 6√2

= √6 - 3√2

g) 7√3 - 2√8 + √12 + 3√8

= 7√3 - 4√2 + 2√3 + 6√2

= 9√3 + 2√2

i) 3√49 + 2√288 - √144 - 2√18

= 21 + 24√2 - 12 - 6√2

= 9 + 18√2

= 9(1+ √2)

Answer:

33.3 % of the dodgeball team consist of boys.

Step-by-step explanation:

Hope that helps!

Answer:

8+8, & 7+7.

Step-by-step explanation:

They help because you can add 8+8 and get 16, and just subtract 1. When you add 7+7 you get 14, and you add 1

Answer:- 29

false

Step-by-step explanation:

Answer:

1.63

Step-by-step explanation:

-31 + 7 = -24

[tex]\sqrt{-24}[/tex]  = 4.9

4.9/3 = 1.63 (rounded down from 1.6333333)

Answer:

[tex]x = 2 \sqrt{2} i \: or \: x = - 2 \sqrt{2} i[/tex]

Step-by-step explanation:

• Add 7 to both sides.

[tex]3x {}^{2} - 7 + 7 = - 31 + 7[/tex]

• Simplify

[tex]3x {}^{2} = - 24[/tex]

• Divide both sides by 3

[tex] \frac{3x {}^{2} }{3} = \frac{ - 24}{3} [/tex]

• Simplify

[tex]x {}^{2} = - 8[/tex]

• Find the solution

[tex]x = \sqrt{ - 8} \: and \: x = - \sqrt{ - 8} [/tex]

• Simplify

[tex] \sqrt{ - 8} = 2 \sqrt{2i} [/tex]

[tex] - \sqrt{ - 8} = - 2 \sqrt{2i} [/tex]

ANSWER:

[tex]x = 2 \sqrt{2} i \: and \: x = - 2 \sqrt{2} i[/tex]

Answer:

∞

Step-by-step explanation:

Let both be x and y

So

[tex]\\ \rm\Rrightarrow 6x+8y=1[/tex]

[tex]\\ \rm\Rrightarrow 6(4y/3)+8y=1[/tex]

[tex]\\ \rm\Rrightarrow 8y+8y=1[/tex]

[tex]\\ \rm\Rrightarrow y=1/16[/tex]

[tex]\\ \rm\Rrightarrow y=0.0625[/tex]

Answer:

It's The following options -

Step-by-step explanation:

A

B

C

D

Are correct

Answer: its A

Step-by-step explanation:

Given parameters:

Bearing of the tree from the house  = 295°

Unknown:

Bearing of the house from the tree = ?

Solution:

This is whole circle bearing problem(wcb). There are different ways of representing directions from one place to another. In whole circle bearing, the value of the bearing varies from 0° to 360° in the clockwise direction.

To find the back bearing in this regard, simple deduct the forward bearing from 360°;

    Backward bearing  = 360° -295°

                                    = 65°

The bearing from house to the tree is 65°

Answer:

Yes, The commutative property of multiplication is: a × b = b × a. In short, in commutative property, the numbers can be added or multiplied to each other in any order without changing the answer. Let us see some examples to understand commutative property. Example 1: Commutative property with addition.

No, the equation 9 x 7 = 7 x 9 does not demonstrate the commutative property of multiplication.

The commutative property of multiplication states that the order of the numbers being multiplied does not affect the result; you can switch the order, and the product will remain the same.

In the given equation, both sides evaluate to 63 (9 x 7 = 63 and 7 x 9 = 63), so it might appear to satisfy the commutative property at first glance. However, this equation represents a single instance where the numbers used happen to have the same product. The commutative property should hold true for all pairs of numbers, which is not the case here.

For example, switching the order for 3 x 5 and 5 x 3 results in different products (3 x 5 = 15 and 5 x 3 = 15). Since the equation 9 x 7 = 7 x 9 does not hold true for all pairs of numbers, it does not illustrate the commutative property of multiplication.

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#SPJ6

Answer: C. perpendicular to Earth and the sun

Step-by-step explanation: I studied astronomy. :)

Answer:

7

Step-by-step explanation:

the remainder is 2, so you do not have enough roses for another arrangement

Answer:

3. (-10)^2

Answer: 100

Answer is B.

4.  12,400,000

Answer: 1.24 * 10^7

Answer is A.

I hope this can help you advance to the other questions!

Answer:

3) b. 100

4) a. 1.24 x 10 ^7

Step-by-step explanation:

-10 x -10 = 100

1.24 x 10 ^7 = 12,400,000

Step-by-step explanation:

Round 93,411 to nearest tens

93,411

93,410

sorry if wrong

Answer:

The volume of a prism is given by ...

 V = Bh

Step-by-step explanation:

Here, the base is an equilateral triangle with side length 3 in. The area of such a triangle is given by

 A = (√3)4*s²

where s is the side length.

Your triangular prism has a base area of ...

 B = (√3)/4*(3 in)² = (9/4)√3 in²

so the volume is

 V = ((9/4)√3 in²)(6 in)

 V = (27/2)√3 in³

 V ≈ 23.383 in³

:)

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

Ok so since this is an area question we should begin with writing the correct formula for it. This says it's rectangular pool so we'll be using our rectangle formula, which is...

[tex]A=lw[/tex]

Now we plug in what we know...

[tex]length=30\frac{1}{3} \\width=12\frac{1}{2}[/tex]

Now we solve...

[tex]A=lw\\A=(30\frac{1}{3})(12\frac{1}{2})\\A=379\frac{1}{6}[/tex]

So the area is.... [tex]379\frac{1}{6}[/tex] feet ²

or if you want an improper fraction....[tex]\frac{2275}{6}[/tex] feet²

or a decimal... [tex]379.1666667=379.17[/tex] feet².

Answer:

Step-by-step explanation:

18 muffins for Millie,

18 muffins for August,

18 muffins for herself,

80 muffins for a church,

18+18+18+80 = 134 muffins in total

Answer:

Then he should have 524,296 books left

[tex]x = y - 14[/tex]

[tex]x = - \frac{y}{12} - \frac{7}{12} [/tex]

[tex]x = - 2y - 14[/tex]

Answer:

Go on brainly,cymath,calculator soup to find the answer

Step-by-step explanation: