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strojnjashka [21]
3 years ago
14

If two supplementaryangles are in the ratio 2:3, find the angles.

Mathematics
1 answer:
kramer3 years ago
5 0
The angles are 72 degrees and 108 degrees.

Explanation:

Angle 1 : Angle 2 = 2 : 3
Angle 1 = 2k
Angle 2 = 3k

Angle 1 + Angle 2 = 180 (supplementary angles)
2k + 3k = 180
5k = 180
k = 36

Angle 1 = 2k = 2 x 36 = 72 degrees
Angle 2 = 3k = 3 x 36 = 108 degrees
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Which of the following nonlinear inequalities is graphed below
Rashid [163]

Answer:

(x²/4) + (y²/16) ≤ 1

Step-by-step explanation:

The general form of the ellipse in the graph is

x²/4 + y²/16 = 1

we want to find the inequality which represents the shaded area this will determine whether which of the following 2 choices are correct

Choice 1: x²/4 + y²/16 ≥ 1

Choice 2: x²/4 + y²/16 ≤ 1

we note that point (0,0) lies inside the shaded area. Which means if we substitute (0,0), it should create an equality that is valid.

try choice 1: 0²/4 + 0²/16  = 0 ≥ 1 (not valid because obviously zero is smaller than 1)  

try choice 1: 0²/4 + 0²/16  = 0 ≤ 1 (this is valid, hence choice 2  is the answer)

4 0
3 years ago
Find and sketch the domain of the function. f(x,y)=√(4-x^2-y^2) +√(1-x^2)<br>​
elena55 [62]

Answer:

Hello

Step-by-step explanation:

The domain is limited with 2 lines parallel: -1 ≤ x ≤ 1

and the disk ? (inside of a circle) of center (0,0) and radius 2

dom\ f(x,y)=\{(x,y) \in \mathbb{R} ^2 | \ -1\leq x \leq -1\ and \ ( -\sqrt{4-x^2}  \leq \ y  \leq \sqrt{4-x^2}\  ) \ \}\\

3 0
3 years ago
Urgent help needed. Will mark you brainlest when correct
posledela

Question 7: Option (4)

A=(3/8)^2=\frac{9}{64}

Question 8: Option (3)

A=\frac{1}{2}(17)(9)=76.5

Question 9: Option (2)

A=\pi(10)^2 \approx 314

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2 years ago
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3 years ago
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yan [13]
The given expression is:
(x^3 * y^4) / (3y^4)

We can notice that the term y^4 is a common term found in both the numerator and the denominator of the given expression, therefore, we can cancel this term from the both numerator and denominator (as if you divided both numerator and denominator by y^4).

Doing this, we will have the simplified form of the expression as follows:
(x^3) / (3)
4 0
3 years ago
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