Triangle ABC has coordinates A(−6,2), B(−3,6), and C(5,0). Find the perimeter of the triangle. Round your answer to the hundredths place (2 decimal places) I will give brainliest
Answers
Answer:
26.18 units
Step-by-step explanation:
You could use distance formula three times to calculate the length of each side. Add the three lengths to find the perimeter. However, (see image) if you look at a graph of these points, two of the sides are the hypotenuse of a right triangle that have known, integer values--Pythagorean triples. The sides are 3-4-5 and the other is 6-8-10. We use the Pythagorean theorem to find the third side. See image.
11.18 + 5 + 10
= 26.18 units
The perimeter of triangle is 26.18.
What is triangle?A triangle is 2-dimensional closed curve. which has 3 sides, 3 angles and 3 vertices.
According to the question,
Triangle ABC has coordinates A(-6,2), B(-3,6), C(5,0).
Distance formula: √(x₂-x₁)² + (y₂-y₁)².
Points A and B are (-6,2) and (-3,6)
= √(-3-(-6))² + (6-2)²
= √9+16
= √25
=5.
Thus, point A and B has distance, S₁ = 5.
Points B and C are (-3,6) and (5,0)
Distance formula: √(x₂-x₁)² + (y₂-y₁)²
= √(5-(-3))² + (0-6)²
= √(8)² + (-6)²
= √(64+36)
=√100
=10.
Thus, point B and C has distance, S₂ = 10.
Points C and A are (5,0) and (-6,2)
Distance formula: √(x₂-x₁)² + (y₂-y₁)²
= √(-6-(5))² + (2-0)²
= √((-11)² + (2)²)
=√(121+4)
=√125
=5√5
Thus, point C and A has distance, S₃= 5√5.
Perimeter of triangle = S₁ + S₂+S₃
= 5 + 10 + 5√5
=15+5√5
=15+5(2.23606)
=15+11.1803
=26.1803 ≈ 26.18
Hence, the perimeter of triangle is 26.18.
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10.
Step-by-step explanation:In order to find the missing value, we need to divide 173.1, by 17.31:
173.1 / 17.31 = 10
Dividing the product (173.1) by one value in the equation (17.31) can represent what the missing value is, in order for 17.31 to equal 173.1
Check:
17.31 · 10 = 173.1
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For what value of y is the perimeter of the Shape 220 cm? and given sides are 5y+4 and 2y+36
Answers
Given that:
Length of the rectangle = (5y+4) cm
Breadth of the rectangle = (2y+36) cm
We know that formula for
Perimeter of a rectangle = 2(l+b) units
⇛P = 2(5y+4+2y+36) cm
⇛ P = 2(7y+40) cm
⇛ P = 14y+80 cm
According to the given problem
The perimeter = 220 cm
⇛ 14y+80 = 220
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⇛14y = 140
⇛y = 140/14
⇛y = 10 cm
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Answers
Answer:
The probability of getting a peach or an apple is 2/3.
Step-by-step explanation:
There are two peaches and four apples, so six fruits we want to know the probability of getting, and there are also three pears, which means we have nine fruits total. The chance of getting an apple or a pear is six out of nine, which simplifies to two out of three.
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Answers
Answer:
33
Step-by-step explanation:
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Answer:
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3 units to the left gives |x + 3| - 0.5
Reflection over the y-axis gives |x - 3| - 0.5.
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Step-by-step explanation:
Answer:
12
Step-by-step explanation:
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Answer:
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Answer:
none of theses choices. wesley makes $2185 this month
Step-by-step explanation:
Choose the correct transformation.
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Answer:
A
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Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
9:6
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A. -4
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Answer:
B
Step-by-step explanation:
Figure A is a scale image of Figure B.
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2
Figure A
25
Figure B
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Answer:
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30 is to 25 as x is to 10.
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Do this equation by: look at image
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Answer:
42.40705%
Step-by-step explanation:
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Answer:
32 days
Step-by-step explanation:
5 divided by 2 is 2.5, which means 2.5 gallons will leak per day. 80 divided by 2.5 is 32 which means it will take 32 days for the bucket to completely leak out.
hope that's right <3
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Answers
Answer:
13/15
Step-by-step explanation:
15 is the least common denominator,
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2/3 = 10/15
3/15 + 10/15 = 13/15
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Answer:
Step-by-step explanation:
The lowest common multiple of these 2 denominators is 3 * 5 since 3 and 5 are prime to each other. (They share no common factor.)
1/5 * 3/3 = 3/15
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Answers
Answer:
D = (9,4) - (-4, -7) = (13,11) where D is length of line between A and B
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Answers
Answer:
$49
Step-by-step explanation:
70 x 30%
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will mark brainleist
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Answer:
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Answer:
67
Step-by-step explanation:
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angle a = 46
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x = 12.6
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Answer:
A=250Step-by-step explanation:
A/5=50
take 5 to other side
the number in division came in multiplication after changing it's side. that's why,
A=50×5
A=250
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3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
Cube root -125 over 216
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Answers
Answer:
2/5
Step-by-step explanation:
Subtract 2x from both sides
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Divide both sides by -5
y = 2/5 x -2
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Subtract 2x from both sides
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Factorise the expression:21x+3xy+6x²
Answers
Answer:
3x(7+y+2x)
Step-by-step explanation:
1) Find the Greatest Common Factor (GCF).
A. What is the largest number that divides evenly into 21x, 3xy, and 6x²?
It is 3.
B. What is the highest degree of x that divides evenly into 21x, 3xy , and 6x²?
It is x.
C. hat is the highest degree of y that divides evenly into 21x, 3xy, and 6x²?
It is 1, since y is not in every term.
D. Multiplying the results above,
The GCF is 3x.
2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)
[tex]3x(\frac{21x}{3x} +\frac{3xy}{3x} +\frac{6x^{2} }{3x} )[/tex]
3) Simplify each term in parentheses.
[tex]3x(7+y+2x)[/tex]
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ok done. Thank to me :>
In which direction must the graph of Rx) = 7% be shifted to produce the graph of g(x) = 7% + 7?
O A right
OB. Up
OC. left
OD. down
Answers
Answer:
B. Up
Step-by-step explanation:
If you alter a function by adding or subtracting a constant to the end of the expression, then the graph will slide up (down if subtracting) If you alter the x value by altering the expression in close to the x with addition or subtraction the graph will slide left or right.
Vertical translations (sliding up or down) go up when adding and down when subtracting as you would expect it to.
Horizontal translations are the oppoof what you might expect. A (x-h) will shift the graph right, while a (x+k) will shift the graph left.
The answer to your question is UP.
a lakeis 200ft wide. two boats start to move towards one another from opposite shores.In one minute ,the first boat goes 40 ft and the second one goes 30 ft they are very slow! what would be the distance between the boats after 1 minute
Answers
The distance between the boats after 1 minute would be 130 ft.
Given that a lake is 200ft wide, and two boats start to move towards one another from opposite shores, and in one minute, the first boat goes 40 ft and the second one goes 30 ft, to determine what would be the distance between the boats after 1 minute the following calculation must be performed:
Total width - boat distance 1 - boat distance 2 = Distance after 1 minute 200 - 40 - 30 = X 130 = X
Therefore, the distance between the boats after 1 minute would be 130 ft.
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