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Vsevolod [243]
4 years ago
7

Trapezoid JKLM is shown on the coordinate plane below:

Mathematics
1 answer:
ololo11 [35]4 years ago
3 0

Answer:

( 1, -4)

Step-by-step explanation:

To find this answer you go over 2 to the right on the x-axis, then go down 6 on the y-axis. This gives ( 1, -4).

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How to solve 10m-2/5=48/5
Romashka [77]

Answer:

Step-by-step explanation:

10m-2/5=9 and 3/5

10m-2/5=9.6 (where 9 and 3/5 is equal to 9.6)

50m-2=48 (i multiplied 10m by 5 and 9.6 by 5)

50m=50 ( i added 2 to both sides)

m=1 ( i divided by 50 to both sides to find m)

5 0
3 years ago
A biologist is studying the elk population in a county park. She starts with only 2 elk and observes that the number of elk trip
DochEvi [55]

Answer:

The expression that represents the population of elk is: \text{elk}(t) = 2*3^t. It'll take 6 years for the population to reach 1,458 individuals.

Step-by-step explanation:

Since the number of elks triples every year and starts at \text{elk}(0) = 2, then after the first year the population will be:

\text{elk}(1) = \text{elk}(0)*3 = 2*3

While on the second year, it'll be:

\text{elk}(2) = \text{elk}(1)*3 = 2*3*3 = 2*3^2

On the third year:

\text{elk}(3) = \text{elk}(2)*3 = 2*3^2*3 = 2*3^3

And so on, therefore the expression that describes the population of elk as the years passes is:

\text{elk}(t) = 2*3^t

If we want to know the number of years until the population reach 1,458 elk, we need to apply this value to the left side of the equation and solve for t.

1458 = 2*3^t\\3^t = \frac{1458}{2}\\3^t = 729\\ln(3^t) = ln(729)\\t*ln(3) = ln(729)\\t = \frac{ln(729)}{ln(3)} = 6

The population will reach 1,458 elk in 6 years.

8 0
3 years ago
What does the 80 inches represent in an 80" TV
solong [7]
It represents the distance diagonally between two opposite corners of a Television. (i.e. the distance between the bottom-left corner and the top-right corner)
6 0
3 years ago
A wheel on a piece of machinery makes one revolution every minute (60 seconds.) How many degrees does it move in 10 seconds?
solmaris [256]

Answer:

It moves 6 degrees a second that means it moves 60 degrees in 10 seconds.

Step-by-step explanation:

360/60=6

6x10=60.

360 is how many degrees there are in a second and 60 seconds in a minutes.

7 0
3 years ago
How hard must someone pull on the unkown line and inwhat direction to keep the knot from moving ​
dolphi86 [110]

Answer:

4.4N, 263.4°

Step-by-step explanation:

The sum of all forces must add to zero:

The forces in the x-plane:

∑F = 3N + (cos 120°)*5N + x = 0

x = -(3N + (cos 120°)*5N)

x = -0.5N

The forces in the y-plane:

∑F = (sin 120°)*5N + y = 0

y = -(sin 120°)*5N = -√(3/4)*5N = -4.3N

The magnitude of the unknown force U is:

U = √(x² + y²) = √19 = 4.4N

The direction is given by:

tanФ = y/x

Ф = 263.4°

4 0
3 years ago
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