how many many bricks can bob the dog use to make a wood chuck

We know that sum of the interior angles of any triangle equal 180° :

So :

A + B + C = 180°

45° + 75° + C = 180°

120° + C = 180°

Both sides minus ( 120°) :

C = 180° - 120°

C = 60°

_________________________________

According to the theorem of sinuses :

[tex] \frac{AB}{ \sin(C) } = \frac{BC}{ \sin(A) } \\ [/tex]

[tex] \frac{AB}{ \sin(60) } = \frac{12}{ \sin(45) } \\ [/tex]

[tex] \frac{AB}{ \frac{ \sqrt{3} }{2} } = \frac{12}{ \frac{ \sqrt{2} }{2} } \\ [/tex]

[tex]Multiply \: both \: sides \: by \: \frac{ \sqrt{3} }{2} [/tex]

[tex] AB = \frac{24}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} \\ [/tex]

[tex]AB = \frac{12 \sqrt{3} }{ \sqrt{2} } \\ [/tex]

[tex]AB = \frac{2 \times 6 \sqrt{3} }{ \sqrt{2} } \\ [/tex]

[tex]AB = \frac{ ({ \sqrt{2} })^{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\ [/tex]

[tex]AB = \frac{ \sqrt{2} \times \sqrt{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\ [/tex]

[tex]AB = \frac{ \sqrt{2} \times 6 \sqrt{3} }{1} \\ [/tex]

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

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

[tex]AB = 6 \sqrt{6} [/tex]

_________________________________

I think this is the correct answer.

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Answer:

39/4

Step-by-step explanation:

Because I multiplied 4 x 9 + 3

9 3/4 may be expressed as an improper fraction as 39/4 or 9.75.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.

9¾ is a mixed fraction. 9 is the whole number whereas ¾ is the fractional part. 9¾ is also 9+¾.

Fractions that have a numerator greater than a denominator, such as 8/7 or 123/112, are considered improper fractions.

Thus, to convert 9 3/4 into an improper fraction, multiply the whole number component—in this case, 9, by the denominator (4 in this case). The multiple of 9 and 4 you just discovered is added to the numerator (3), which is then used as the numerator. The numerator (four) stays the same.

Therefore,  9 3/4  can be written as 39/4 or 9.75 in the terms of the improper fraction.

Learn more about fractions here:

https://brainly.com/question/10354322

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Answer:

The answer would be 2

Step-by-step explanation:

Please mark me brainiest B) :) ;) B]

Answer:

b

Step-by-step explanation:

Answer:

[6, 10]

Step-by-step explanation:

Let the weight of a pen be x

Then its weight can be between

8 - 2 = 6 g and 8 + 2 = 10 g

This can be shown as

8 - 2 ≤ x ≤ 8 + 2

6 ≤ x ≤ 10

x = [6, 10]

i think....

Answer:

3(x+2) and 3x+6 are equivalent.

3(2x) is not.

Step-by-step explanation:

Simplify the expressions first.

1. 3(x+2) becomes 3x+6

2. 3x + 6

3. 3(2x) becomes 6x

The first and second are equivalent to each other.

The third one is not equivalent.

Hope this helped :)

Answer:

Step-by-step explanation:

rate=earning/time=920/40=23 $ per hour.

Answer:

(x, y) → (x – 3, y + 5)

Step-by-step explanation:

Answer:

4n+3

Step-by-step explanation:

11-7=4, 15-11=4, 4(1) + something = 74(1)=4x1=44+something=7

So the nth term is 4n+3

Answer:

24:1

Step-by-step explanation:

The ratio is 336:14 to 24:1.

Answer:

3x²

Step-by-step explanation:

Answer:

Step-by-step explanation:(F)=1/F+6

We move all terms to the left:

(F)-(1/F+6)=0

Domain of the equation: F+6)!=0

F∈R

We get rid of parentheses

F-1/F-6=0

We multiply all the terms by the denominator

F*F-6*F-1=0

We add all the numbers together, and all the variables

-6F+F*F-1=0

Wy multiply elements

F^2-6F-1=0

a = 1; b = -6; c = -1;

Δ = b2-4ac

Δ = -62-4·1·(-1)

Δ = 40

The delta value is higher than zero, so the equation has two solutions

We use following formulas to calculate our solutions:

F1=−b−Δ√2aF2=−b+Δ√2a

The end solution:

Δ‾‾√=40‾‾‾√=4∗10‾‾‾‾‾‾√=4√∗10‾‾‾√=210‾‾‾√

F1=−b−Δ√2a=−(−6)−210√2∗1=6−210√2

F2=−b+Δ√2a=−(−6)+210√2∗1=6+210√2

Answer:

20

Step-by-step explanation:

lol ok got it bro

Answer:

0

Step-by-step explanation:

Answer: 0 is the answer

Step-by-step explanation:

Answer:

Answer is after 20 miles

Step-by-step explanation:

10 +2.5x = 3x

10 = 3x-2.5x

10=0.5x

10/.5=x

x=20

At 20 miles they both have a cost of 60

Let's see what to do buddy....

____________________________

Step (1)

Express taxi charges 2.50 $ per mile.

So if each mile equals x the taxi charges 2.50 x.

There's the starting fare too.

So ;

Express taxi charges by the following function :

[tex]f(x) = 2.5x + 10[/tex]

____________________________

Step (2)

Speedy taxi charges 3 $ per mile.

So if each mile equals x the taxi charges 3x .

There's no starting fare.

So ;

Speedy taxi charges by the following function :

[tex]g(x) = 3x[/tex]

____________________________

Step (3)

To find that after how many miles is the cost of both taxi services the same , we must equal their functions.

Then solve for x .

So we have :

[tex]f(x) = g(x)[/tex]

[tex]2.5x + 10 = 3x[/tex]

Subtract the sides of the equation minus 2.5x :

[tex]10 = 0.5x[/tex]

[tex]10 = \frac{1}{2}x \\ [/tex]

Multiply the sides of the equation by 2 :

[tex]x = 20[/tex]

So after 20 miles both taxi services have the same cost.

____________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

the answer is 120.6 I'm pretty sure

Answer:

9.525 units squared

Step-by-step explanation:

I'm assuming the 3 is the base of the triangle so I split 3 in half and got 1.5 for 2 right triangles. I then did the area of a right triangle formula 1/2 base x height

1/2(1.5 x 6)=4.5

1/2(1.5 x 6.7) =5.025

Add these two together

5.025+4.5=9.525

9.525units squared

Answer:

3/5=0.6

_

4/9=0.4

_

11/12=0.916

Answer:

it becomes the numerator

Step-by-step explanation: i read it in my lesson

Answer:c the lines are perpendicular

Step-by-step explanation:it’s just perpendicular

Answer:

Nathan earned 100 points. he lost the trivia game by 5 points.

Step-by-step explanation

3[tex]\frac{1}{3}[/tex] * 33 = 110 points earned

[tex]\frac{1}{2}[/tex] * 20 = 10 points lost

110-10 = 100

Nathan earned 100 points. he lost the trivia game by 5 points.

Answer:

-1 and 6

Step-by-step explanation:

i hope this help you

Answer:

The answer is, C. Zero because it is neither positive or negative

Answer:

Zero Hope this helps!

Answer:

$110 for the week

$30 commission

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

1/4k=3/8k-1/4 is just saying that 1/4/k=1/8k

Answer:

the domain is 0 x 45 and the range is 0 h 360. The slope is -8, so the change in the height of the ballon is -8 feet per second. The h-intercept is 360, so the height of the ballon when the first noticed it was 360 feet. The x-intercept is 45, so the time it took the hot air balloon to reach the ground was 45 seconds.

Step-by-step explanation:

The descending balloon is an illustration of a linear function.

The function is given as:

[tex]\mathbf{h(x) = -8x + 360}[/tex]

See attachment for the graph of h(x)

From the graph, we have the following observations

The above highlights mean that:

The x intercept means that:

The balloon spent 45 seconds in air  

The y-intercept means that:

The balloon was at a height of 360 feet when you noticed it.

A linear function is represented as:

[tex]\mathbf{y = mx + c}[/tex]

Where:

m represents the slope

By comparison with [tex]\mathbf{h(x) = -8x + 360}[/tex]

[tex]\mathbf{m = -8}[/tex]

The above value of slope means that:

The balloon descends 8 feet per seconds

Read more about linear functions at:

https://brainly.com/question/20286983

Answer:

b

Step-by-step explanation:

First, multiply it with each other and then it is 28 *4/7 = 16

Meaning that there is 16 girls in Mr. Chang's class

Making the answer B. 28 x 4/7 = 16 to be correct

I hope this helps, love!

Answer:

x/2 + 3

Step-by-step explanation:

Shaun sold x tickets.

Trudy has sold 3 more tickets than half the number of tickets that Shaun sold.

Half the number Shaun sold is x/2.

3 more than that is x/2 + 3

Answer: x/2 + 3

Answer:

x/2 +3 + x

Step-by-step explanation:

Trudy sold x/2 + 3 tickets compared to shaun. So the total number of tickets they sold overall is x/2 +3 + x.