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3 years ago

A box contains 9 identical glass spheres that are used to make snow globes.

Mathematics

1 answer:

DIA [1.3K]3 years ago

5 0

Uhmmm B I pretty sure

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Use the distance formula, show that the points (4,0), (2,1), and (-1,-5) form the vertices of a right triangle

mario62 [17]

Step-by-step explanation:

The distance formula between two points:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the coordinates of the points.

$A(4,\ 0),\ B(2,\ 1),\ C(-1,\ -5)\\\\AB=\sqrt{(2-4)^2+(1-0)^2}=\sqrt{(-2)^2+1^2}=\sqrt{4+1}=\sqrt5\\\\AC=\sqrt{(-1-4)^2+(-5-0)^2}=\sqrt{(-5)^2+(-5)^2}=\sqrt{25+25}=\sqrt{50}\\\\BC=\sqrt{(-1-2)^2+(-5-1)^2}=\sqrt{(-3)^2+(-6)^2}=\sqrt{9+36}=\sqrt{45}$

If a ≤ b < c are the sides of the right triangle, then

a² + b² = c²

$\sqrt5$

used $(\sqrt{a})^2=a$ for a ≥ 0.

$AB^2+BC^2=AC^2$ therefore ΔABC is a right triangle.

6 0

3 years ago

How much interest is earned on a principal of $9.02 invested at an interest

kow [346]

To find the simple interest, we multiply 9.02 × 0.08 × 3 to get that: $2.16- answer

3 0

3 years ago

Billy has 95 stickers. He shares 4 with<br> Harry. How many stickers will Billy have?

Leni [432]

Answer: 91

Step-by-step explanation:

95 - 4 (That he gave to Harry) = 91

Hope this helped!

7 0

3 years ago

Read 2 more answers

In January, Mr. Tan's students read 20 books. In February, they read 15 books.

Afina-wow [57]

Answer:

25% Decrease

Step-by-step explanation:

15/20 is 75%. 100-75 (since they read less) is 25%

7 0

4 years ago

Read 2 more answers

5. 3x + 5y + 5z =1<br> x - 2y = 5<br> 2x + 4y = 11

lilavasa [31]

Answer:

see explanation

Step-by-step explanation:

Given the 3 equations

3x + 5y + 5z = 1 → (1)

x - 2y = 5 → (2)

2x + 4y = 11 → (3)

Use (2) and (3) to solve for x and y

Multiply (2) by 2

2x - 4y = 10 → (4)

Add (3) and (4) term by term

4x = 21 ( divide both sides by 4 )

x = $\frac{21}{4\\}$

Substitute this value of x into (3)

2 × $\frac{21}{4\\}$ + 4y = 11

$\frac{21}{2\\}$ + 4y = 11 ( subtract $\frac{21}{2\\}$ from both sides )

4y = $\frac{1}{2}$ ( divide both sides by 4 )

y = $\frac{1}{8\\}$

Substitute the values of x and y into (1) and solve for z

3 × $\frac{21}{4\\}$ + 5 × $\frac{1}{8\\}$ + 5z = 1

$\frac{63}{4}$ + $\frac{5}{8}$ + 5z = 1

$\frac{131}{8}$ + 5z = 1 ( subtract $\frac{131}{8}$ from both sides )

5z = - $\frac{123}{8}$ ( divide both sides by 5 )

z = - $\frac{123}{40}$

Solution is

x = $\frac{21}{4\\}$ , y = $\frac{1}{8\\}$ , z = - $\frac{123}{40}$

3 0

3 years ago