The one which is not an appropriate classification for a triangle is right equilateral. Hence, option A is correct.
The basic polygonal shape of a triangle has three sides & three interior angles. This is one of the fundamental shapes in geometry and is particularly associated. It has three connected vertices. Triangles can be divided into various categories according to their sides and angles.
As per the given data in the question,
A right-angle triangle can not be an equilateral triangle.
The reason behind this is straightforward, for an equilateral triangle all sides should be the same and the internal angles are equal to 60° but in the case of the right-angled triangle there must be an angle of 90° and one side should be greater than the other two sides that's why it follows the Pythagoras's property.
To know more about Triangle:
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f(x) = 4(1.08)x
The graph shows the population g(x), in millions, of State B of the country after x years:
graph of exponential function g of x that curves up from left to right and goes through points 0 comma 2 and 9 comma 4
Which conclusion is correct about the populations of State A and State B?
The original population of State A was double the original population of State B.
The original population of State B was double the original population of State A.
The original population of State A was four times the original population of State B.
The original population of State A was equal to the original population of State B.
Answer:
its A
Step-by-step explanation:
I believe it's A because it started at 4 million where the graph started at 2 million. Therefore it would be double.
ground. To avoid making it too difficult to push a
motorcycle up the ramp, Jessie decides to make the
angle between the ramp and the ground 159. To the
nearest hundredth of a foot, find the length of the
ramp.
A. 10.82 feet
B. 2.90 feet
C. 0.72 feet
D. 10.45 feet
Answer:
A. 10.82
Step-by-step explanation:
When using trigonometry to solve for the length of a ramp given the height of the trailer and the angle of the ramp, we use the sine of the angle, defined as the ratio of opposite side to the hypotenuse. The length of the ramp, or hypotenuse, was found to be approximately 0.72 feet.
This question is about trigonometry, a branch of mathematics that deals with the relationships between the sides and angles of triangles. In this case, we are given the height of the trailer (2.8 feet) and the angle between the ramp and the ground (159 degrees).
We are asked to find the length of the ramp, which is the hypotenuse of the triangle formed by the ramp, the ground, and the trailer. This can be found by using the sine of the angle, defined as the ratio of the opposite side (the height of the trailer) to the hypotenuse (the ramp length).
Using the equation sin(159) = 2.8 / ramp-length and solving for ramp-length by multiplying both sides by ramp-length and then dividing by sin(159), we find that the length of the ramp is approximately 0.72 feet.
So, the correct answer is C. 0.72 feet.
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Answer:
6 1/2 feet
Step-by-step explanation:
There are 12 inches in 1 foot.
Divide 78 inches with 12 inches to get the amount of foot 78 inches equals to.
78/12 = 6.5
6 1/2 feet is your answer
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There are 6.5 feet in 78 inches. Hope this helps.
(3x+5)^2+5(3x+5)+6=0
Answer:
x = -8/3 = -2.667
x = -7/3 = -2.333
Step-by-step explanation:
Equation at the end of step 1 :
(((3x + 5)2) + 5 • (3x + 5)) + 6 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 9x2+45x+56
The first term is, 9x2 its coefficient is 9 .
The middle term is, +45x its coefficient is 45 .
The last term, "the constant", is +56
Step-1 : Multiply the coefficient of the first term by the constant 9 • 56 = 504
Step-2 : Find two factors of 504 whose sum equals the coefficient of the middle term, which is 45 .
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 21 and 24
9x2 + 21x + 24x + 56
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (3x+7)
Add up the last 2 terms, pulling out common factors :
8 • (3x+7)
Step-5 : Add up the four terms of step 4 :
(3x+8) • (3x+7)
Which is the desired factorization
Solve : 3x+7 = 0
Subtract 7 from both sides of the equation :
3x = -7
Divide both sides of the equation by 3:
x = -7/3 = -2.333
Solving a Single Variable Equation :
3.3 Solve : 3x+8 = 0
Subtract 8 from both sides of the equation :
3x = -8
Divide both sides of the equation by 3:
x = -8/3 = -2.667
Supplement : Solving Quadratic Equation Directly
Solving 9x2+45x+56 = 0 directly