Solve the following system of equations using elimination (addition)

5x - 6y = - 32

3x + 6y = 48

Answer:

Step-by-step explanation:

Tan θ = [tex]\sqrt{13} \div \sqrt{2}[/tex] = 2.5495

Therefore θ = [tex]Tan^{-1}[/tex] (2.5495) =68.5832°

Answer:

Tan θ =  2.5495097...

​

answer:

8417yd

Step-by-step explanation:

Answer:

3/8, 2/5, 1/3

Step-by-step explanation:

From smallest to largest is 3/8 2/5 1/3

Answer:

Non-collinear points: These points, like points X, Y, and Z in the above figure, don't all lie on the same line. Coplanar points: A group of points that lie in the same plane are coplanar. Any two or three points are always coplanar. Four or more points might or might not be coplanar.

Step-by-step explanation:

Answer:

x = -1/2

Step-by-step explanation:

Answer:

ONL and MNL

Step-by-step explanation:

Adjacent angles are next to each other and share a side

ONL and MNL are next to each other and share a side

Answer:

what grade are you in so i can help

Step-by-step explanation:

Answer:

The centimeters of rain on Thursday r

How many more centimeters of rain fell on Saturday than on Thursday 0.15r

The centimeters of rain on Saturday 1.15r

Step-by-step explanation:

Answer:

The centimeters of rain on Thursday r

How many more centimeters of rain fell on Saturday than on Thursday 0.15r

The centimeters of rain on Saturday 1.15r

Step-by-step explanation:

Answer:

The discounted price is $260

Step-by-step explanation:

Jack bought a motorbike. The original price was $1,300, but he got a discount of 20%.

What was the discounted price of the bike?​

To find the discounted price of the bike, if Jack bought a motorbike that originally costs $1300 and got a discount of 20%, we will follow the steps below;

find 20% of $1300

20% of $1300 = 20% × $1300  =[tex]\frac{20}{100}[/tex]  × $ 1300 = 20×$13 = $ 260

Therefore, the discounted price is $260

Answer:

9 unread pages

Step-by-step explanation:

Take the total number of pages and subtract the pages that have been read

55-46 = 9

There are 9 pages that are unread

Answer:

81 inches^3

Step-by-step explanation:

The empty space at the top is

3 inches wide by 9 inches long by (12-9) inches tall

3*9*3 = 81 inches^3

Answer:

Step-by-step explanation:

Calculate z-score firstly

z-score = (x-mean)/SD = (2.75-2.5)/0.25 = 0.25/0.25 = 1

P( x greater than or equal to 2.75) = P(z greater than or equal to 1)

= 1 - p(z <1)

P(z<1) from table = 0.84134

1-p(z<1) = 0.15866 or 15.866%

Answer:

7 ; 6

Step-by-step explanation:

Answer:

11.3 (C)

Step-by-step explanation:

sqrt(12^2 - 4^2) =

sqrt(144 - 16) =

sqrt(128)-->

11.3 (C)

Answer:

11.3 ft

Step-by-step explanation:

We have a right triangle with the hypotenuse of 12 and a leg of 4

Using the pythagorean theorem

a^2 +b^2 = c^2

4^2 + b^2 = 12^2

16 +b^2 = 144

Subtract 16 from each side

b^2 =144-16

b^2 =128

Taking the square root of each side

sqrt(b^2) = sqrt( 128)

b =11.3137085

Answer:

Step-by-step explanation:

The equation of a linear function is in form:

[tex]y=mx+b[/tex]

We have:

[tex]\bold{A.}\\\\y=8(x+8)+4(x+8)\qquad\text{use the distributive property}\\\\y=8x+64+4x+32\qquad\text{combine like terms}\\\\y=12x+86\to m=12,\ b=86\\\\\bold{linear\ function}[/tex]

[tex]\bold{B.}\\\\y=\dfrac{\sqrt8}{8}x-4\to m=\dfrac{\sqrt8}{8},\ b=-4\\\\\bold{linear\ function}[/tex]

[tex]\bold{C.}\\\\y=\dfrac{1}{8}x+8\to m=\dfrac{1}{8},\ b=8\\\\\bold{linear\ function}[/tex]

[tex]\bold{D.}\\\\y=8x^2+8x+4\\\\\bold{not\ linear\ function}\\\\\text{because is}\ x^2\\\\\text{It's a quadratic function}[/tex]

Answer:

18$

Step-by-step explanation:

Answer:

£16

Step-by-step explanation:

Sum the parts of the ratio, 4 + 5 = 9 parts

Divide the money by 9 to find the value of one part of the ratio

£36 ÷ 9 = £4 ← value of 1 part of ratio, thus

4 × £4 = £16 ← Kiera's share of the money

Answer:

-40

Step-by-step explanation:

Work backwards

4 * -7 = -28

-28 - 12 = -40

Answer:

Yes, adjacent angles can be complementary. Complementary angles are defined as two acute angles with a sum that is equal to 90°.  if they add up to 90°. For example, a diagonal of a square will split the right angle into two equal angles; 45°+45°. In a right triangle, the altitude from a right angled vertex will split the right angle into two adjacent angles; 30°+60°, 40°+50°, etc. Those adjacent angles are complementary.

- Hope this helped :)

Answer:

-9,-8,-4,6,9

Step-by-step explanation:

Answer: -9,-8,-4,6,9

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Answer:

24 or 25

Step-by-step explanation:

Uh I'd say 2*4*3.14=8*3.14=25.12 or if I just rounded pi to 3 it'd be 24

Answer:

Keith; -5, -12

Step-by-step explanation:

Logic ( Subtract 12 from both sides, then factor it out)

Answer: 50.24 cm^2

Step-by-step explanation:

This can be translated to:

An old coin is kept in a cubic box in such a way that the outline of the coin touches the 4 walls of the box, if the base of the box has a perimeter of 24 cm. What is the area of ​​the coin?

The fact that the coin touches the interior of the box means that the diameter of the coin is equal to the side lenght of the box.

The perimeter of the box is 24 cm, and the perimeter of a square is equal to:

P = 4*L

where L is the side lenght of the square.

24 cm = 4*L

L = 24cm/4 = 8cm

Now we know that the diameter of the coin is 8cm

Now, the area of a circle (the coin) is equal to:

A = 3.14*(d/2)^2

where d is the diameter, so we have:

A = 3.14*(4cm)^2 = 50.24 cm^2

Answer:

a. The tank would hold a 2,600.136 m^3 or 2,600,136 liters of fuel

b. The rate at which the fuel is being used is 305,898.35 liters of fuel per minute

Step-by-step explanation:

a. Since the tank is cylindrical in shape, we can mathematically calculate the volume of the cylinder so as to know the amount of fuel it will hold.

Mathematically, the volume of a cylinder;

V = π * r^2 * h

where r is the radius which is the diameter divided by 2 = 8.4/2 = 4.2 meters in this case

h is the length here(in place of the conventional height) = 46.9 meters

π = 22/7

Plugging these values into the equation, we have;

V = 22/7 * 4.2^2 * 46.9 = 2,600.136 m^3 of fuel

Since 1 m^3 = 1000 liters

then 2,600.136 m^3 = 2,600.136 * 1000 = 2,600,136 liters( liters is a more comfortable unit when talking about liquids such as fuel)

b. Now we want to know the rate at which the fuel is used

What we need here is to just divide the volume of fuel used by the number of minutes it took the tank to be emptied

That would be = 2,600,136/8.5 = 305,898.35 liters/minute

Answer:

A=(pie) r^2

Step-by-step explanation:

A = Area

(pie) = 3.14

r^2 = (r is the radius)

Answer:

pi r^2

Step-by-step explanation:

That is your answer

Answer:

C

Step-by-step explanation:

Answer:

b= a

60

Step-by-step explanation:

Answer:

c=13

Step-by-step explanation:

You then square root both sides of the equation and the square root of 169 is 13.

Hope this helps! :)

Answer:

c is 13

Step-by-step explanation:

trust me bro

Answer: understand The problem

Gather reasources

check your answer to a solution

come to an answer

Answer:

x >-2

Step-by-step explanation:

-3 (x -3) > 5 - 5x

Distribute

-3x +9 > 5-5x

Add 5x to each side

-3x +9+5x > 5-5x+5x

2x +9> 5

Subtract 9 from each side

2x+9-9>5-9

2x > -4

Divide each side by 2

2x/2 >-4/2

x >-2

Answer:

A. x > -2.

Step-by-step explanation:

-3 (x -3) > 5 - 5x

-3x + 9 > 5 - 5x Subtract 9 from both sides and add 5x to both sides:

-3x + 5x = 5 - 9

2x > -4

x > -2.