Which ordered pair is a solution of the system
x + 2y < -2 and y <-3x + 4

Answer:

m∠G ≈ 41°

Step-by-step explanation:

The value of angle G will be approximately 41.4 °

The square of a side of a plane triangle equals the sum of the squares of the remaining sides minus twice the product of those sides and the cosine of the angle between them.

c² = a² + b² - 2ab cos[tex]\rm \gamma[/tex]

Here in triangle EFG ,

To find angle G

a = 12

b=10

c=8

8² = 12² + 10² - 2*12*10 cos[tex]\rm \gamma[/tex]

64 = 144 + 100 -240 cos    [tex]\rm \gamma[/tex]

64-244 = -240 cos[tex]\rm \gamma[/tex]

-180 = -240 cos[tex]\rm \gamma[/tex]

180/240 = cos [tex]\rm \gamma[/tex]

3/4 = cos [tex]\rm \gamma[/tex]

Therefore angle G will be approximately 41.4 °

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Answer:

5

Step-by-step explanation:

Since there are 3 chihuahuas out of 12 dogs IN TOTAL (which includes the 9 other dogs), the ratio is 1:4, or 1/4.

Assuming this ratio is consistent, (1/4)*20 is 5.

In conclusion, you can expect there to be 5 chihuahuas out of the next 20 dogs to arrive at the park.

Hope it helped, and have a beautiful day/night! <3

Answer:

2584

Step-by-step explanation:

height of 19 inches,

a width of 8 inches, and a length of 17 inches

17 times 19 times 8

Answer:

88 units

Step-by-step explanation:

The required perimeter is 88 units.

Answer:

Plot a point at (0,5) the plot a point at (1,8) (2,11) etc...

Step-by-step explanation:

Answer:

x= -2

Step-by-step explanation:

MARK AS BRAINLIEST!!

Answer: -2

Step-by-step explanation: -2 times 5 is -10. -10-15=-25

Answer:

375 miles

Step-by-step explanation:

Create a proportion where x is the number of miles she can drive on 12.5 gallons of gas:

[tex]\frac{96}{3.2}[/tex] = [tex]\frac{x}{12.5}[/tex]

Cross multiply and solve for x:

3.2x = 1200

x = 375

So, with 12.5 gallons of gas, Sara can drive 375 miles

Answer:

68.7

Step-by-step explanation:

Answer: the answer is C

Step-by-step explanation: because

Answer:

For number one do 13+13 and then 21+21 and 8+8 so you would get 16 for 8+8 and 21+21 is 41 so 41+16 is 57 and then 13+13 is 26 so 57+26 and then your answer is going the be the volume

9514 1404 393

Answer:

Step-by-step explanation:

What to do:

__

When you plot 3 points, A, B, C, you can join them 3 ways: AB, AC, BC. The three line segments make a triangle

Since the shape is a square pyramid, the base would be 14 by 14. The area of one triangle would be 10 times 14 times 1/2 = 70. 70 times 4 = 280. 14 times 14 = 196

196 + 280 = 476

Final answer = 476

Answer:

11.180339887498cm or 11.2cm

Step-by-step explanation:

Using pythagoras- a² + b² = c²

Therefore 5² + 10² = 125²

Root of 125 will be the answer

Answer:

The given triangle is right angled triangle, which means that

Area - [tex]\frac{1}{2}×base×height[/tex]

Answer:

8111.5

Step-by-step explanation:

Deduct for thousand eleven hundred and a half from twelve thousand twelve hundred and twelve

Rewriting the above question in figure :

4000 + 100 + 0.5 = 5100.5

12000 + 1200 + 12 = 13212

13212 - 5100.5 = 8111.5

= 8111.5

Answer:

2+2=4

Step-by-step explanation:

I don't even know why this is a question

Answer:

2+2  is 4 ok tell ur thecher it is four

Step-by-step explanation: lol

Answer:

X= -12 Y=10

Step-by-step explanation:

The solution is, Solve of the system of equations.

9x+11y=2 & 3x+4y=4 is, x = -12 & y =10.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

given that, the system of equations.

9x+11y=2 .......(1)

3x+4y=4 ...........(2)

now, for solving, multiply (2) by 3 & subtract from (1),

we get,

9x + 11y =  2

9x + 12y = 12

---------------------

y= 10

from (1), we get, x = -12

Hence, The solution is, Solve of the system of equations.

9x+11y=2 & 3x+4y=4 is, x = -12 & y =10.

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Answer:

the smallest circle one

center => (0,1)

radius = √3 = 1.73

Graph C  best represents the equation x² + (y-1)²=3². The given equation is compared by the standard equation to form a graph.

If a circle O has a radius of r units and its center is at (h, k) in the coordinate plane, then its equation is:

(x-h)^2 + (y-k)^2 = r^2

The given data equation is;

x² + (y-1)²=3²

Compare the standard equation with the given equation, we get;

h=0

k=1

r=3

Graph C  best represents the equation x² + (y-1)²=3².

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Hope this helps you out in your journey for the test

Answer:

C

Step-by-step explanation:

two events are independent if you can mulitply them to find their intersection

.5*.36= .18 which is obviously not .2

therefore they're not independent because they're not eqaul

Answer:

15

Step-by-step explanation:

Answer:

[tex]area = (7 \times 1) + (5 \times 1) + (8 \times 1) \\ = 7 + 5 + 8 \\ = 20 \: {m}^{2} [/tex]

Given:

The equation is:

[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]

To find:

The value of y.

Solution:

We have,

[tex]192=6000\left(0.02\left(\dfrac{8}{5}-4y\right)+0.08y\right)[/tex]

On simplification, we get

[tex]192=6000\left(0.02\times 1.6-0.02\times 4y+0.08y\right)[/tex]

[tex]192=6000\left(0.032-0.08y+0.08y\right)[/tex]

[tex]192=6000\left(0.032\right)[/tex]

[tex]192=192[/tex]

Since LHS=RHS and the equation is free from the variable y, therefore the given equation is true for all real values of y.

Hence, all real values of y are solutions.

Step-by-step explanation:

This is a familiar conversion problem:

[tex]3.3 \times {10}^{2} lightyears \times \frac{5.9 \times {10}^{12} miles}{1 \: lightyear} [/tex]

[tex] = 1.95 \times {10}^{15} \: miles[/tex]

Answer:

see below

Step-by-step explanation:

3.3 × 10^2  light years

one light year is 5.9 × 10^12 miles

you need to multiple these two values

3.3 × 10^2  light years  ×  5.9 × 10^12 miles/light year =

=     (3.3 × 5.9) × 10^2 × 10^12

=     19.47 × 10^(2 + 12)

=     1.947 × 10^1 × 10^14

=     1.947 × 10^15 miles

Answer: 352

Step-by-step explanation: