The perimeter of triangle B is 6 times greater than the perimeter of

You are planning to plant a triangular garden in your backyard, as shown. You plan to put up a fence around the garden to keep o

Drupady [299]

Answer:

24 m

Step-by-step explanation:

The lenght of fencing needed is the sum of all sides the triangular garden represented on the coordinate grid.

The lenght of the triangular garden = 16 - 10 = 6 m

Lenght of the height = 8 - 0 = 8 m

Lenght of the hypotenuse can be calculated using coordinates of the two vertices of the ∆ that forms the hypotenuse lenght and also using the distance formula.

Coordinates of the two vertices = (10, 0) and (16, 8).

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

Let,

$(10, 0) = (x_1, y_1)$

$(16, 8) = (x_2, y_2)$

$d = \sqrt{(16 - 10)^2 + (8 - 0)^2}$

$d = \sqrt{(6)^2 + (8)^2}$

$d = \sqrt{36 + 64} = \sqrt{100}$

$d = 10$

Length of fencing = 6 + 8 + 10 = 24 m

6 0

3 years ago

Helen wrote the following facts to try to show that division by 0 results in 0. Explain her error.

earnstyle [38]

Helen should of put 0 first, because if you're gonna divide, you need to put the product first, then one of the factoes.

So instead it should be 0÷(-7)=0

3 0

3 years ago

11.5.5

Umnica [9.8K]

Answer:

Step-by-step explanation:

A

8 0

3 years ago

When two six-sided dice are rolled what is the probability that the product of their scores will be greater than six?

Pachacha [2.7K]

Answer: $\bold{\dfrac{11}{18}}$

Step-by-step explanation:

Think of the products row by row:

11 12 13 14 15 16 - 0 products greater than 6

21 22 23 24 25 26 - 3 products greater than 6

31 32 33 34 35 36 - 4 products greater than 6

41 42 43 44 45 46 - 5 products greater than 6

51 52 53 54 55 56 - 5 products greater than 6

61 62 63 64 65 66 - 5 products greater than 6

$\dfrac{\text{number greater than 6}}{\text{total possible outcomes}}=\dfrac{22}{36}=\dfrac{11}{18}\ when\ reduced$

8 0

3 years ago

Read 2 more answers

What is the value of y in the sequence below? 2,y,18, -54,162,

snow_lady [41]

First, let's check if the sequence is geometric or arithmetric.

If arithmetric, the sequence will have common difference.

Arithmetric

$\displaystyle \large{a_{n + 1} - a_n = d}$

d stands for a common difference. Common Difference means that sequences must have same difference after subtracting.

Geometric

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

r stands for a common ratio.

To find the value of y, you can check the sequence. If we try subtracting the sequences, the differences are different. That means the sequences are not arithmetric. That only leaves the geometric sequence.

Let's check by dividing sequences.

We have:

2,y,18,-54,162,...

Let's check by divide -54 by 18 and 162 by -54. We need to divide more than one so we can prove that the sequence is geometric.

$\displaystyle \large{ \frac{ - 54}{18} = - 3 } \\ \displaystyle \large{ \frac{ 162}{ - 54} = - 3}$

Hence, the sequence is geometric.

Because the common ratio is -3. Let these be the following:

$\displaystyle \large{ a_{n + 1} = y } \\ \displaystyle \large{ a_n = 2 } \\ \displaystyle \large{ r = - 3 }$

From the:

$\displaystyle \large{ \frac{a_{n + 1}}{a_n} = r}$

Substitute the values in.

$\displaystyle \large{ \frac{y}{2} = - 3}$

Multiply the whole equation by 2 to isolate y.

$\displaystyle \large{ \frac{y}{2} \times 2 = - 3 \times 2} \\ \displaystyle \large{ y = - 6}$

Therefore, the value of y is -6.

7 0

2 years ago