Use the distributive property to expand the following expression.
-2(2.1x+3y-1.8)
WILL MARK BRAINLYEST

Given :

Distance of firefighter from the building, D = 33 feet.

Height of building, h = 45 feet.

To Find :

The angle of elevation of the cat.

Solution :

Let, angle of elevation is Ф.

We know, tan Ф = h/D

tan Ф = 45/33

Ф = tan⁻¹( 45/33 )

Ф = 53.75°

Therefore, angle of elevation is 53.75° .

Hence, this is the required solution.

Answer:

I have the same questions and I got them right

Step-by-step explanation:

16. What is P(red, yellow, blue)?

P(red, yellow, blue)=  6/16= 3/8.

4/16+ 1/16+ 1/16= 6/16= 3/8

17. What is P(orange, yellow)?

P(orange, yellow)= 1/8

1/16+1/16= 2/16= 1/8

18. P(green, blue, purple)?

P(green, blue, purple)= 5/8

7/16+1/16+2/16= 10/16= 5/8.

19. P(pink)?

P(pink)=0

There is no pink color.

20. P(red, orange, yellow, green, blue, purple)?

P(red, orange, yellow, green, blue, purple)= 16/16= 1.

4/16+ 1/16+ 1/16+ 7/16+1/16+2/16 =16/16= 1.

Hope it helps!!!

Explanation:

2008 - 2002 = 6 years have passed

In that time frame, we lost 26 cubic miles of ground water.

This means we lost about 26/6 = 4.333 cubic miles of ground water per year.

Answer:

75

Step-by-step explanation:

The answer is 75 because you have to cross mutiply:

1       3

25     x

3 x 25 is 75

Answer: ∠A = 70°

because ABC is an  isosceles triangle and AB =  AC

=> ∠B = ∠C = 55°

=> ∠A = 180-(∠B + ∠C) = 180° - 55°.2 = 70°

Step-by-step explanation:

sorry i can't help :(

Answer:

5.77in

Step-by-step explanation:

A cube has 6 square faces, so each face would have area 200 sq in/6=33.33 sq in

Since the area of each face equals the square of the sides, the edge of the cube would be sqrt%2833.33sq+in%29= approx. 5.77 in

Answer:

Slope = undefined

Step-by-step explanation:

Slope = (y2 - y1)/(x2 - x1)

(6, 1)

(6, -6)

1 - (-6)/6 - 6= 7/0

Slope = undefined

For reference:

0/x = 0

x/0 = undefined

Hope this helps!

Answer:

Sin 90 = 1/1 = 1

Use trigonometry formula and a triangle with lengths of 1

Answer:

c bc of -1/ 2 8 6 of you divide and then u multiple

The quotient of the synthetic division problem -1 | 2 8 6 in polynomial form is 2x + 6.

The synthetic division problem is given;

-1 | 2 8 6

Remove the number before the | sign

2 8 6

Remove the middle number;

2 6

Introduce a variable starting from an exponent of 0 (let the variable be x);

2x¹ 6x⁰

Evaluate the exponents;

2x 6

2x + 6

Hence, the quotient of -1 | 2 8 6 in polynomial form is 2x + 6.

Read more about synthetic division at:

brainly.com/question/10465785

#SPJ2

Answer:

Step-by-step explanation:

ind her earnings for the first two weeks of the month at the $5.50 an hour rate.

5.50 × (18 + 20.50) = 5.50 × 38.5  

= 211.75  

She earned $211.75 the first two weeks of the month.

Find her new hourly rate, if she raises her rate by $0.55.

5.50 + 0.55 = 6.05  

Her new hourly rate is $6.05.

Find how many hours she would need to work at $6.05 an hour in order to earn $211.75.

211.75 ÷ 6.05 = 35  

She would need to work 35 hours.

Answer:

[tex]\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]

Step-by-step explanation:

[tex]\dfrac{x-6}{2}=\dfrac{2-x}{x}\\\\\text{Domain:}\ x\neq0\\\\\dfrac{x-6}{2}=\dfrac{2-x}{x}\qquad|\text{cross multiply}\\\\(x-6)(x)=2(2-x)\qquad|\text{use the distributive property}\\\\(x)(x)+(-6)(x)=(2)(2)+(2)(-x)\\\\x^2-6x=4-2x\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x^2-6x+2x=4-2x+2x\\\\x^2-4x=4\qquad|\text{add}\ 2^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot2+2^2=4+2^2\qquad|\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-2)^2=4+4\\\\(x-2)^2=8\iff x-2=\pm\sqrt8\\\\x-2=\pm\sqrt{4\cdot2}[/tex]

[tex]x-2=\pm\sqrt4\cdot\sqrt2\\\\x-2=\pm2\sqrt2\qquad|\text{add 2 to both sides}\\\\x-2+2=-2\sqrt2+2\ \vee\ x-2+2=2\sqrt2+2\\\\\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]

Answer:

Yes my friend  is correct

Step-by-step explanation:

You cannot have a glide reflection if you have one translation which is followed by two ( 2 ) reflections .

This is because Glide reflection is made up of one ( 1 ) reflection in line with a single translation along the same line

Glide reflection is known as  an opposite isometry of the Euclidean plane

Glide reflection is a single operation that involves a reflection over a line and followed by a translation.

Your friend's claim is correct.

From the definition, we can deduce that glide reflection consists of:

This means that: 1 translation and 2 reflections is not a glide reflection

Hence, your friend's claim is correct.

Read more about glide reflection at:

https://brainly.com/question/2975847

Answer:

295,245

Step-by-step explanation:

It is always multiplying by 3.

5, 15, 45, 135, 405, 1215, 3645, 10935, 32805, 98,415, 295245

Answer:

885735

Step-by-step explanation:

Answer:

30 degrees

Step-by-step explanation:

Answer:Megan spent 0.15 pounds more on bananas than strawberries

Step-by-step explanation:

Step 1

Cost of bananas = 2 1/4 pounds of bananas for 0.80 per pound

2 1/4 x 0.80 = 1.8 pounds

Cost of strawberry= 1 1/2 pounds of strawberries for 1.10 per pounds

1 1/2 x 1.10  = 1.65.

Step 2  how much  more means the difference between the cost of bananas and strawberry .

 Therefore, we have Cost of bananas - cost of strawberries

1.80 pounds - 1.65 pounds=0.15

Megan spent 0.15 pounds more on bananas than strawberries

Answer: The answer is 27

Given:

We will:

Subtract the total distance he plants to travel by the amount he has left.

Equation: [tex]\mathrm {56 - 29 = 27}[/tex]

Our answer is 27. Best of Luck!

Answer:

5+5=10

tep-by-step explanation:

Answer: What error is there, the answer to the equation is x= -1/2

Answer:

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

[tex]a_{n-1}=12\\\\

Plug\: n = n + 1\\\\

a_{n+1-1}=12\\\\

\huge \red {\boxed {a_{n}=12}} \\\\[/tex]

Answer: B?

Step-by-step explanation:

Answer:

Go for B

Step-by-step explanation:

Answer:

8/27

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

-6+6=0

Plus the 3

Your answer is 3

Answer:

-3 or 3

Step-by-step explanation:

Answer:

slope m = -2, y-intercept b = 1

Step-by-step explanation:

The slope is the change in y over the change in x.

Equation for slope: y2-y1/x2-x1=m

Since they already gave us the two points we just have to decide which one is our y2,y1 and out x2,x1 (which one you chose does not matter). And plug the numbers into the equation and get: -3-1/2-0=m, in this case, m=-4/2 and simplify it into -2. Now we have our slope.

The y-intercept is where the line crosses over the y-axis, and in our case, it is given to us in the (0,1) so our slope is 1.

Hope this helps you

Answer: 432 ft^2

Step-by-step explanation:

If 1"=3', and the box is 8"x6", then we can simply multiply the 8 and 6 by three. You would get 24 by 18.

Follow this up by the equation a=w*l to get

a=24*18 = 432 ft^2.

Answer:

32 pounds

Step-by-step explanation:

$3 flat fee for a package, plus a fee based on the weight of the package. The company charges $0.75 per pound, plus an additional $0.50 for every pound over 12 pounds.

The first step would be to derived an equation

$3 + $0.75

3 + 0.75x

Where x = number of pounds

George plans on sending a package that is over 12 pounds. He has $27 to spend on shipping.

Hence,

3 + 0.75x = 27

0.75x + 3 = 27

0.75x = 27 - 3

0.75x = 24

x = 24/0.75

x = 32 pounds

The maximum number of pounds that this package could be is 32 pounds

Answer:

11.906

23.806

Step-by-step explanation:

here you go also can you check my account for some lyrics i posted :)

Answer:

$18

Step-by-step explanation:

We conclude that Vincent has raised a total of $7.50

We know that initially, he has 20 candy bars.

He sells 3/10 of that total number, so the number of candy bars sold is:

N = (3/10)*20 = 6 candy bars.

And sells each for $1.25, so the total amount that has Vincent raised is:

R = 6*$1.25 = $7.5

We conclude that Vincent has raised a total of $7.50

If you want to learn more about fractions:

https://brainly.com/question/11562149

#SP1

Answer: use a calculator or ask for help

Step-by-step explanation: