Find the sum:
mZ1+mZ2 +mZ3

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:

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.

[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:

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

the remainder when f(x) = x⁴ - 5x³ + 3x² - 2x +7 is divided by x - 1 is 4

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

Its really easy D and E i took the test

Answer:

d e

Step-by-step explanation:

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:

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:

-5/2

Step-by-step explanation:

c is -14

then, b is 5

then quadratic equation,

x=2 or -7

the turning point = (-7+2)/2 = -5/2

if still can't get it pls comment below ask me

Answer:

The answer to this question is due to the algebraic equality of the equation

Step-by-step explanation:

[tex]2(m - n) = 7 = y[/tex]

[tex]y = \frac{7}{2} [/tex]

That is, option C

Answer:

the data show a quadratic relationship

Answer:

Edge202 is B and E

Step-by-step explanation:

Edge2020

[tex]\\ \sf\Rrightarrow 4^x-4^{x-1}=24[/tex]

[tex]\\ \sf\Rrightarrow 4^x-4^x4^{-1}=24[/tex]

[tex]\\ \sf\Rrightarrow 4^x(1-0.25)=24[/tex]

[tex]\\ \sf\Rrightarrow 4^x(0.75)=24[/tex]

[tex]\\ \sf\Rrightarrow 4^x=32[/tex]

[tex]\\ \sf\Rrightarrow 2^{2x}=2^5[/tex]

[tex]\\ \sf\Rrightarrow 2x=5[/tex]

[tex]\\ \sf\Rrightarrow (2x)^x=(5)^x[/tex]

Answer:

Step-by-step explanation:

Let [tex]4^{x}=y[/tex], then we obtain that:

[tex]4^{x}-4^{x-1}=24\rightarrow y-(y/4)=24 \rightarrow \frac{3y}{4}=24[/tex]

So, we can get: [tex]3y=96 \rightarrow y = 96/3 = 32[/tex]

Now, because [tex]y=4^{x}=32[/tex], we can obtain the value of x as follows:

[tex]4^{x}=(2^{2})^{x}=(2^{5}) \rightarrow 2x = 5 \rightarrow x=5/2[/tex]

Then [tex](2x)^{x}=(2(5/2))^{5/2}=5^{5/2}=\sqrt{5^{5}}=25\sqrt 5[/tex]

There is no answer in your question.

Answer:

It's The following options -

Step-by-step explanation:

A

B

C

D

Are correct

Answer:

7

Step-by-step explanation:

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

Answer:- 29

false

Step-by-step explanation:

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

Answer: C. perpendicular to Earth and the sun

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

Answer:

7.16 x 3 = 21.48

She weighs 21.48 pounds at her 1 year checkup.

Hope this helps!

Answer:

21.48 pounds

Step-by-step explanation:

7.16 x 3 = 21.48

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

Read more about logarithm function at:

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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:

we need more info.

Step-by-step explanation:

Step-by-step explanation:

Round 93,411 to nearest tens

93,411

93,410

sorry if wrong

Answer:

1. 45min

2. 1h 40min

3. 1h 45min

4. 5min

[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:

Answer:

omg college math is so hard omg i feel baddddddd

Step-by-step explanation:

Answer:073

Step-by-step explanation: check number is located on upper right hand corner.