Write n as a fraction in simplest form.

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

2 years ago

1. The average police office writes 40 tickets each week (with a standard deviation of 12). If the number of tickets a police of

ch4aika [34]

Answer:

3/5

Step-by-step explanation:

4 0

2 years ago

Write the equation in slope-intercept form through the point (-5, 3) and is perpendicular to the line y = 2x - 3 and graph

xxTIMURxx [149]

Slope intercept form: y = mx + b

When a line is perpendicular to another line, its slope is the negative reciprocal to that slope.

From this information, we already know that the slope of our new line is -1/2, because -1/2 is the negative reciprocal to 2 (which is the slope of the original line).

y = -1/2x + b

Because the point (-5,3) is given, we can simply plug the x and y coordinates into our incomplete equation.

3 = -1/2(-5) + b

3=2.5 + b

b = 0.5

ANSWER: y = -1/2x + 0.5

THE GRAPH IS LINKED; RED LINE IS y=2x-3 AND BLUE LINE IS y=-1/2x + 0.5

5 0

3 years ago

Twenty men can cut thirty trees in four hours. If four men leave the job, how many trees will be cut in six hours?

AysviL [449]

Answer:32 trees in six hours

Step-by-step explanation:

It’s fairly simple I did it in my head

6 0

2 years ago

Ronald spins a spinner that has 10 sections numbered from 1 to 10. What is the probability that the spinner lands on a prime num

vladimir1956 [14]

Prime number is a whole number that has no possible divisors that 1 and itself. Prime numbers are 2, 3, 5.7.11,13,17,19,23 and 29. From 1 to 10 there are 3 prime numbers: 3,5 and 7.
The probability can be calculated as the ratio between the number of "good" events and the total number of possible events. There are three "good" events (3,5 or 7) and 10 total events, so the probability that the spinner lands on a prime number is: 3/10. So, none of the given options is true.

5 0

3 years ago

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