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2 years ago

The Pythagorean Theorem deals with which relationship in a right triangle?

2 answers:

5 0

A right triangle has 2 legs and a hypotenuse.

The Pythagorean Theorem on a right triangle:
a² + b² = c²

a and b are the 2 legs of the right triangle
c is the hypotenuse of the right triangle.

The Pythagorean Theorem states the relationship of the lengths of the legs of the right triangle to the length of its hypotenuse.

The sum of the squares of both legs is equal to the square of the hypotenuse.

MArishka [77]2 years ago

3 0

The sum of two angles that will add up to the leftover angle.

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What is the slope and y-intercept of line q graphed below?

beks73 [17]

The correct answer is C) 1/3 and (0, 1)

The y-intercept part is somewhat simple. In order for it to be a y-intercept, the x value of the ordered pair must be 0. That is only true in B and C, therefore they are the only possible answers.

To find the slope, we must choose two points on the line and use the slope formula. We can start by using the y-intercept (0, 1) and also (3, 2). Now we use the slope formula.

m = (y2 - y1)/(x2 - x1)

In this equation m is equal to slope, the first point is (x1, y1) and the second point is (x2, y2)

m = (y2 - y1)/(x2 - x1)

m = (2 - 1)/(3 - 0)

m = 1/3

Now knowing the slope, you can match this with answer C.

3 0

2 years ago

What is the maximum value of P = 24x + 30y, given the constraints on x and y listed below? x+y (less than or equal to) 5 x-y (gr

valentina_108 [34]

Answer:

Step-by-step explanation:

We have to first find the vertices of the feasible region before we can determine the max value of P(x, y). We will graph all 4 of those inequalities in a coordinate plane and when we do that we find that the region of feasibility is bordered by the vertices (0, 0), (0, 1), (2, 3), and (5, 0). Filling each x and y value into our function will give us the max value of that function.

Obviously, when we sub in (0, 0). we get that P(x, y) = 0.

When we sub in (0, 1) we get 24(0) + 30(1) = 30.

When we sub in (2, 3) we get 24(2) + 30(3) = 138.

When we sub in (5, 0) we get 24(5) + 30(0) = 120.

Obviously, the vertex of (2, 3) maximized our function for a value of 138.

6 0

3 years ago

Simplify this expression.<br><br> 1 + 4.25n + 32p – 3 + (–2p) + 54n

gavmur [86]

Answer:

58.25 n +30p-3

step explanation:

7 0

3 years ago

Read 2 more answers

PLEASE HELP DUE IN 40 MINS!! Using the Law of Sines, find the exact answer for x.

Savatey [412]

Answer:

Step-by-step explanation:

Sin(30) / X = Sin(45) / 12

use algebra to isolate X

1 / X = [ Sin(45) / 12 ] / Sin(30)

flip both sides

X = Sin(30) / [Sin(45) /12 ]

invert the denominator on the right side

X = Sin(30) * 12/ Sin(45)

Do you know what Sin(30) is off the top of your head?

and also Sin(45) ?

these are worth remembering... and you can b/c they are just

sin(0) = 0/2

sin(30) = 1 / 2

sin(45) = $\sqrt{2}$ /2

sin(60)= $\sqrt{3}$ / 2

sin(90) = $\sqrt{4}$ / 2 (aka 1)

note the numerators just counts up 0, 1, 2, 3, 4 :)

Cos works the same way but counts from 90° back to 0 but exactly like sin other wise, hence why Cos and Sin both = $\sqrt{2}$ /2 at 45 °

anyway

X = 1 / 2 * 12/ $\sqrt{2}$ /2

X = 3 $\sqrt{2}$

A=3

B= 2

:) nice , huh

8 0

2 years ago

dora filed for chapter 13 bankruptcy in 2011. even if she planned to take the maximum time allowed under chapter 13 to repay her

bazaltina [42]

Answer:

2016 apex approved

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers