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3 years ago

There are 12 triangles and 3 squares. What is the simplest ratio of squares to triangles?

Mathematics

2 answers:

hodyreva [135]3 years ago

6 0

Answer:

4:1

Step-by-step explanation:

Both numbers are divisable by 3, so 12 devided by 3 is for and 3 devided by 3 is 1, which would get you 4 : 1

grigory [225]3 years ago

4 0

Squares : Triangles
3 : 12
Divide both sides by 3.
The simplest ratio is

1 : 4

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Find an equation of the circle that satisfies the given conditions.

hodyreva [135]

The equation of a circle:
$(x-h)^2+(y-k)^2=r^2$
(h,k) - the coordinates of the centre
r - the radius

The midpoint of the diameter is the centre of a circle.
The coordinates of the midpoint:
$(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})$
(x₁,y₁), (x₂,y₂) - the coordinates of endpoints

$P(-1,1) \\
x_1=-1 \\ y_1=1 \\ \\ Q(5,9) \\ x_2=5 \\ y_2=9 \\ \\
\frac{x_1+x_2}{2}=\frac{-1+5}{2}=\frac{4}{2}=2 \\ \frac{y_1+y_2}{2}=\frac{1+9}{2}=\frac{10}{2}=5$

The centre of the circle is (2,5).

The radius is the distance between an endpoint of the diameter and the centre.
The formula for distance:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$(-1,1) \\ x_1=-1 \\ y_1=1 \\ \\ (2,5) \\ x_2=2 \\ y_2=5 \\ \\ d=\sqrt{(2-(-1))^2+(5-1)^2}=\sqrt{3^2+4^2}=\sqrt{9+16}=\sqrt{25}=5$

The radius is 5.

$(x-2)^2+(y-5)^2=5^2 \\
\boxed{(x-2)^2+(y-5)^2=25}$

4 0

2 years ago

Hannah is 16 years younger than Ericka. In 5 years Ericka will be twice as old as Hannah. How old is each

vazorg [7]

Answer:11 and 27

Step-by-step explanation:

11+16=27 and they are 16 years apart and because it says 5 years 27+5=32 and if you add 5 to 11 you get 16 and 16+16=32

3 0

1 year ago

Read 2 more answers

Please help find the percent of increase?!

alex41 [277]

Take how much was added, divide by how much you originally had. 100-80=20. 20/80= 25%

7 0

3 years ago

Y = x ^3 - 5x² +16x-80

Leokris [45]

Answer:

(x-5)(x^2+16)

3 0

2 years ago

Tina is packing for a five-day trip. She has one blue, one red, one white, one green, and one grey t-shirt. Tina will not wear e

agasfer [191]

Answer:

This means that Tina has enough t-shirts for the entire trip and doesn't need to pack any more t-shirts.

Step-by-step explanation:

In total, she has five t-shirts, and she is packing for a five-day trip. Therefore, she has enough shirts to last her the entire trip.

5 0

2 years ago