Find the area of each triangle for #2, 3, & 4.

Answer:

(x+2)^2 + (y-6)^2 = 41

Step-by-step explanation:

The equation for a circle is (x-h)^2+(y-k)^2=r^2

So first, it is known that the circle's center is at (-2,6), Therefore, this can be filled in:

(x+2)^2+(y-6)^2=r^2

Next, we need to find the radius, and one of the points is already known, being (-6, 1)

With this, find the distance between these two points by doing the Pythagorean Theorem, a^2+b^2=c^2. The a^2 would be the x value changed and the b^2 would be the y value changed between the two numbers. Note that this is interchangeable.

To find a:

-2 to -6 = change of 4

To find b:

6 to 1 = change of 5

Next, write out the equation for this:

4^2+5^2=c^2

16+25=c^2

41=c^2

c = √41

The radius would be √41, so the equation can now be completed. Since c will be brought to the second power, this will cancel out the square root.

(x+2)^2 + (y-6)^2 = 41

Hope that helps.

Answer:

hm

Step-by-step explanation:

and then I say no one knows where I I am to find it and then he

Answer:

Step-by-step explanation:

Let the 3 numbers be 4x , 5x and 6x

4x + 6x = 5x + 55

10x = 5x + 55                      Subtract 5x from both sides.

5x     5x

5x = 55                                Divide by 5

x = 55/5

x = 11

Therefore the numbers are

3*11 = 33

4*11 = 44

5*11 = 55

Answer:

2 cups of water

Step-by-step explanation:

Meliah wants to make a gallon of punch.

Note that

1 gallons = 16 cups

For Orange juice

She uses 2 quarts of orange juice,

1 quart = 4 cups

2 quarts = x

Cross Mulitiply

2 × 4 cups = 8 cups

For lemon juice

1 cup of lemon juice

For pineapple juice

2 1/2 pints of pineapple juice.

1 pint = 2 cups

2 1/2 pints = x

Cross Mulitiply

2 1/2 × 2 cups = 5 cups

Total number of cups

= 8 cups orange juice + 1 cup lemon juice + 5 cups of pineapple juice

= 14 cups

Hence, the number of cups of water she should add to make 1 gallon is calculated as:

16 cups - 14 cups

= 2 cups of water

Answer:

He would recognize Lincoln's accomplishments which a good amount was about his documents like the Emancipation document.

Step-by-step explanation:

Also, he did his "I have a dream" speech on the Lincoln Memorial.

Answer:

the percentage is 12%

Step-by-step explanation:

Given that

The 12 students picked up the vanilla cupcake

And, 88 students picked up the chocolate cupcake

We need to find out the percentage of the students picked up a vanilla cupcake

So, the percenatge is

= (12) ÷ (12 + 88) × 100

= 12 ÷ 100 × 100

= 12%

Hence, the percentage is 12%

Answer: it’s the number that stays the same

Step-by-step explanation: ex. y = 24(6x)

Answer:

The value of b will be squared

Step-by-step explanation:

Recall that the quadratic formula is [tex]x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex]

You will see that the only squared coefficient is b.

The probability that one can slide the puck into the light gray area will be 0.72.

From the information given, the board is surrounded by wood boards that keep the puck in the playing surface.

In this case, the probability that you slide the puck into the light gray area will be:

= 4feet/(4 feet + 1.5 feet)

= 4/5.5

= 0.72

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ2

Answer:

The last one

Step-by-step explanation:

Answer:

a) 0.9125

b) 0.756

c) 0.314

Step-by-step explanation:

The save percentage of Goalie A = 0.92

The save percentage of Goalie B = 0.89

The percentage of the games Goalie A plays = 75 percent

The percentage of the games Goalie B plays = 25 percent

a) The probability that a save has been made by either Goalie A or Goalie B

Therefore we get;

The probability that Goalie A made a save, P(A) = 0.92 × 0.75 = 0.69

The probability that Goalie B made a save, P(B) = 0.89 × 0.25 = 0.2225

For mutually exclusive events, we have;

P(A) or P(B)  = P(A) + P(B)

∴ P(A) or P(B) = 0.69 + 0.2225 = 0.9125

The probability that a save has been made by either Goalie A or Goalie B, P(A) or P(B) = 0.9125

b) Where there are 10,000 attempts, made evenly in all games, we have;

The number of attempts made with Goalie A playing = 10,000 × 0.75 = 7,500

The number of saves Goalie A makes = 0.92 × 7,500 = 6,900

The number of saves for 10,000 attempt = (P(A) or P(B)) × 10,000 = 0.9125 × 10,000

The number of saves for 10,000 attempt = 9,125

∴ The probability that Goalie A saves = 6,900/9,125 ≈ 0.756

c) Out of the 2,500 attempts at Goalie B, the number of goals let in is given as follows;

P(Goal B) = 2,500 - 2,500 × 0.89 = 275

The number of goals let in by Goalie A, we have;

P(Goal A) = 7,500 - 7,500 × 0.92 = 600

Therefore, the total number of goals let in = 300 + 275 = 875

The probability that the goals was let in by Goalie B = 275/875 = 11/35 ≈ 0.314.

Answer:

I think the answer is D. 22%

Answer:

b is correct

Step-by-step explanation:

Answer:

[tex](x-5)^2+(y-7)^2=50[/tex]

Step-by-step explanation:

Hi there!

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at [tex](h,k)[/tex] and r is the radius

Plug in the center (5,7)

[tex](x-5)^2+(y-7)^2=r^2[/tex]

Plug in the given point (-2,8) to solve for r²

[tex](-2-5)^2+(8-7)^2=r^2\\(-7)^2+(1)^2=r^2\\49+1=r^2\\50=r^2[/tex]

Therefore, r² is equal to 50. Plug this back into [tex](x-5)^2+(y-7)^2=r^2[/tex]

[tex](x-5)^2+(y-7)^2=50[/tex]

I hope this helps!

Step-by-step explanation:

B The answer is B

10.9-> 11

Answer:

38

Step-by-step explanation:

She makes 17 bags an hour. Multiply 17 bags by each hour. Additionally, multiply that by 5 for each day worked. The total number is 510.

Out of 510 bags made in that week, only 90% are perfect. 90% of 510 is 459.

If there are 459 bags, and each box can hold 12, how many boxes will be full?  Keep adding bags into boxes until you reach 0 bags. The equation you'll want is 459/12.

38 boxes will be full, with 3 remainder bags.

Answer:

-15

Step-by-step explanation:

Answer:

-15 hdbdudbdjsbakznzbzjzbzbz

Answer:

[tex]16\:\mathrm{ft^2}[/tex]

Step-by-step explanation:

Trish's initial garden had an area of [tex]8\cdot8=64\:\mathrm{ft^2}[/tex]. After expanding her garden to be 10 feet by 8 feet, the garden has an area of [tex]8\cdot 10=80 \:\mathrm{ft^2}[/tex]. Therefore, the garden was expanded by [tex]80-64=\boxed{16\:\mathrm{ft^2}}[/tex]

Answer:

I don't know but I think the answer is 3

Answer:

-10y+10.2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

8 + 3*(4-3) = 8 + 3*1 = 8+3 =11

Answer:

its 11

Step-by-step explanation:

Answer:

#3 is 74 and adjacent #4 is 29 and adjacent  #5 is 48 and vertical

Step-by-step explanation:

just trust me i had the same questions

Answer: a, b, and finally d

Step-by-step explanation:

Answer:

(3,2)

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

Answer:

Side lengths- LK = 1.56 JK = 2.88

Step-by-step explanation:

Use tan for LK. Tan 26 = x/3.2, x = 1.56 to the nearest hundredth. Use cosine for JK. Cos 26 = x/3.2, x = 2.88 to the nearest hundredth.

9514 1404 393

Answer:

  C.  36√3 square units

Step-by-step explanation:

Your knowledge of special triangles tells you that height CD is ...

  CD = 6√3

so the area is ...

  A = 1/2bh

  A = 1/2(12)(6√3) = 36√3 . . . . square units

_____

Additional comment

The 30°-60°-90° right triangle that is half an equilateral triangle has a short side equal to half the length of the long side. The Pythagorean theorem tells you that the middle-length side is √(2²-1²) = √3 times the shortest side. That is, the side length ratios in this "special" triangle are ...

  1 : √3 : 2

This means the length DB is 12/2 = 6, and the length CD is 6√3.

Answer:

im not sure

Step-by-step explanation:

I remember doing this but i forget

Answer:

34

Step-by-step explanation:

Answer:

42 stickers

Step-by-step explanation:

Let

x = number of stickers Keisha and chen received

x - 1 = number of stickers Angie received

Total stickers = 125

125 = x + x + (x - 1)

125 = 2x + x - 1

125 + 1 = 3x

126 = 3x

x = 126/3

x = 42 stickers

x = number of stickers Keisha and chen received = 42 stickers

x - 1 = number of stickers Angie received = 42 - 1 = 41 stickers