The length of one side of an equilateral triangle is 6 square root 3 meters. Find the length of one altitude of the triangle.
Answers
The altitude of the equilateral triangle with sides 6√3 meters is 9 meters.
Properties of equilateral triangle
- All the sides are equal
- All the angles are equal(60 degree each)
The length of the sides are 6√3 meters each. Recall triangles has three sides.
Therefore, the altitude or height of the triangle can be found as follows:
Using Pythagoras theorem,
c² = a² + b²
where
c = hypotenuse
a and b are the other 2 legs.
Therefore,
h² = (6√3)² - (1 /2 (6√3))²
h² = 108 - 27
h = √81
h = 9 meters
Therefore, the altitude of the triangle is 9 meters.
learn more on triangle here: brainly.com/question/8224697?referrer=searchResults
Answer:
9 m
Step-by-step explanation:
The formula of an altitude of an equilateral traingle with side a:
We have
Substitute:
Use
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The ratio is 3 girls to 5 boys
Answers
Answer:
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Answer:
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g(x) = 4(x2 – 6x + 9) + 1
g(x) = –3(x2 – 8x + 16) – 6
g(x) = 8(x2 – 6x + 9) – 5
Answers
Answer:
g(x) = 8(x2 – 6x + 9) – 5
Step-by-step explanation:
A function with a form (x - a)^2 - b where a and b are some constants are a transformation to the right and down from the parent function, f(x) = x^2. Then, option:
g(x) = 4(x2 – 6x + 9) + 1 = 4(x - 3)^2 + 1
is discarded
The vertex form of a quadratic equation is f(x) = c*(x - h)^2 + k, where c, h and k are all constant, and point (h,k) is the vertex of the quadratic function. If c > 0, then the vertex is a minimum and if c < 0 then the vertex is a maximum. Therefore, options:
g(x) = –9(x2 + 2x + 1) – 7 = -9(x + 1)^2 - 7
g(x) = –3(x2 – 8x + 16) – 6 = -3(x - 4)^2 - 6
are dicarded
In consequence, the correct option is:
g(x) = 8(x2 – 6x + 9) – 5 = 8(x - 3)^2 - 5
Answer:
The last choice is the one you want
Step-by-step explanation:
First of all, a parabola has a minimum value if it is a positive parabola, one that opens upward. The first and the third parabolas are negative so they open upside down. That leaves us with choices 2 and 4. We find the side to side and up or down movement by finishing the completion of the square that has already been started for us. Do this by factoring what's inside the parenthesis into a perfect square binomial.
The second one factored becomes:
which reflects a shift to the right 3 and up 1. Not what we are asked to find.
The fourth one factored becomes:
which reflects a shift to the right 3 and down 5. That's what we want!
C. P = 5x + 4y
D. P = 4x + 5y
Answers
Answer:
Option C is correct that is P=5x+4y
Step-by-step explanation:
We have given She has 15 eggs and 16 cups of flour in her pantry. Her pumpkin bread recipe uses 2 eggs and 3 cups of flour. Her coffee cake recipe uses 3 eggs and 4 cups of flour
Let x represents number of loaves of pumpkin bread
And y represents the number of loaves of coffee cake Susan bakes
Since, She plans to sell pumpkin bread loaves for $5 each and coffee cake loaves for $4 each.
Hence, P=5x+4y
Therefore, option C is correct.