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4 years ago

Finding missing sides of triangle. 2x = 10 (square root symbol) 3

Mathematics

1 answer:

Elenna [48]4 years ago

8 0

2x = 10√3

=> x = 10√3 / 2

=> x = 5√3

hence missing side of triangle is 5√3

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In May, a national park had 50,498 visitors. In June, the same park had 82,062 visitors. How many more visitors did the park hav

lord [1]

Answer:

31,564

Step-by-step explanation:

82,062 - 50,498 = 31,564

7 0

3 years ago

Write a system of linear inequalities so the points (1, 2) and (4, -3) are solutions of the system, but the point (-2, 8) is not

Verizon [17]

Answer: $\left \{ {{y\leq -\frac{5}{3}x + \frac{11}{3}} \atop {y < 8}} \right$

<u>Step-by-step explanation:</u>

(1, 2) and (4, -3)

First, find the slope (m): $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

m = $\frac{-3-2}{4-1}$

= $-\frac{5}{3}$

Next, choose ONE of the points and input the point and slope into the Point-Slope formula: y - y₁ = m(x - x₁)

y - 2 = $-\frac{5}{3}$ (x - 1)

y - 2 = $-\frac{5}{3}x$ + $\frac{5}{3}$

y = $-\frac{5}{3}x$ + $\frac{11}{3}$

Then, determine which inequality symbol will result in (-2, 8) being False (since it is not a solution):

y ___ $-\frac{5}{3}x$ + $\frac{11}{3}$

8 ___ $-\frac{5}{3}(-2)$ + $\frac{11}{3}$

8 ___ $\frac{1}{3}$

8 > $\frac{1}{3}$

so ≤ makes the statement False

⇒ y ≤ $-\frac{5}{3}x$ + $\frac{11}{3}$

****************************************************************

If you need a "system" of inequalities, then you need another equation.

There are infinite possibilities. Graph the points to see what works.

y < 8 or x > -2 are two examples.

---> I just realized that the system can be simpler than what I did above:

$\left \{ {{x>-2} \atop {y < 8}} \right$

4 0

4 years ago

Help PLEASE with this question also

PtichkaEL [24]

I’d say it would be 6/2??? maybe no clue

7 0

3 years ago

Find the difference between points (3,5) and (4,6) to the nearest tenth

miss Akunina [59]

Answer:

1,2,3,4,5,6,7,8,9,10

4,5,6,7,8,9,10

Step-by-step explanation:

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4 years ago

At the dog show there are 4 times as many boxes as spaniels. if there are a total of 30 dogs how many dogs are spaniels

Fiesta28 [93]

So the equation would be 4x+x=30. So since they have the same variable, x and 4x, you add them together to get 5x=30. Then you divide by both sides and get x=6. So there are 6 spaniels.

4 0

4 years ago