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klasskru [66]
1 year ago
14

The vertex of ∠A B C is located at the origin. Point A is located at (5,0) and Point C is located at (0,2). How can ∠A B C be cl

assified?
A. acute
C. right
B. obtuse
D. scalene
Mathematics
1 answer:
mixer [17]1 year ago
8 0

As the angle is greater than 0° and less than 90°, then the angle ABC is acute. (Answer: A)

<h3>How to determine the features of an angle set on Cartesian plane</h3>

Herein we find the locations of the three vertices of the figure, of which we must determine the lengths of the two sides of the angle and determine the value of the angle by trigonometry:

BA = 5, BC = 2

θ = tan⁻¹ (BA / BC)

θ = tan⁻¹ (5 / 2)

θ ≈ 68.199°

As the angle is greater than 0° and less than 90°, then the angle ABC is acute. (Answer: A)

To learn more on acute angles: brainly.com/question/2761036

#SPJ1

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Evaluate |c2 + b2|, given a = 5, b = -3, and c = -2.
Helen [10]

Answer:

10

Step-by-step explanation:

This is the answer because:

1) First, insert all the numbers into the expression

Expression: I -2(2) + -3(2) I

2) Next, do -2 x 2 and -3 x 2

-2 x 2 = -4

-3 x 2 = -6

3) Then, do -4 + -6

-4 + -6 = -10

4) Finally, the absolute value of -10 is 10

Therefore the answer is 10

Hope this helps!

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Read 2 more answers
Simplify<br> X2-49<br> Over <br> X2+9x+14
Stels [109]

Answer:

(x-7)/(x+2)

Step-by-step explanation:

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7 0
3 years ago
A cylinder has a base diameter of 16 feet and a height of 19 feet. What is its volume in cubic feet, to the nearest tenths place
Tresset [83]

Answer: Volume = 3818.2 cubic feet

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

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Radius = diameter/2 = 16/2

Radius = 8 feet

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Therefore,

Volume = 3.14 × 8² × 19

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Volume = 3818.2 cubic feet rounded to the nearest tenth

6 0
3 years ago
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