A triangle with vertices (-2,3), (5,4), and (-1,-1) is translated using the rule (x,y) (x-3, y+4) what are the coordinates of the image?
Answers
Answer:
(-5,7)(2,8)
Step-by-step explanation:
your just adding and subtracting the x and y with the rule it gives you
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Answers
The angle β (see the figure) so that the cone will have a volume of 60 in3 is 82.05 degrees
Volume of a cone
The formula for calculating the volume of a cone is expressed as:
V = 1/3πr²h
where
r is the radius
h is the height
Given the following
volume = 60
radius = 2
h = r tanβ
Substitute
V = 1/3πr²(r tanβ)
Substitute
60 = 1/3(3.14)(2)³tanβ
180 = 25.12tanβ
tanβ = 180/25.12
β = 82.05 degrees
Hence the angle β (see the figure) so that the cone will have a volume of 60 in3 is 82.05 degrees
Learn more on volume of cone here: brainly.com/question/13677400
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V volume = 60
r radius = 2
h = r tanβ
Answers
Answer:
59.44 units²
Step-by-step explanation:
The area of each triangular section can be computed from the side length (5 units) and the central angle (72°) as ...
... section area = (1/2)sin(72°)·5² ≈ 12.5·0.951057 ≈ 11.8882 . . . units²
Then 5 such sections will have an area of ...
... pentagon area = 5·11.8882 units² = 59.4410 units²
_____
Comment on central angle
The central angles total 360°. There are 5 equal sections, so the central angle for each of them is 360°/5 = 72°.
Comment on area formula
It can be occasionally handy to know that the area of a triangle can be computed from the lengths of adjacent sides and the angle between them. The formula for sides of length "a" and "b" and angle β is ...
... A = (1/2)ab·sin(β)
Answers
Answer:
50 degrees
Step-by-step explanation:
Answers
The simplified algebraic expression using exponents is simplifies to
To simplify the given expression using exponents, follow these steps:
Multiply Coefficients: Multiply the coefficients (-3) and (2) to get -6.
Combine Like Bases: For the variables with the same base (l and w), add the exponents when they are multiplied together.
Here, , and
Final Simplified Expression: Combine the results from steps 1 and 2 to get
Therefore, the simplified expression using exponents is simplifies to
.The expression has been simplified using the rules of exponentiation. This simplification helps in reducing the complexity of the expression and making calculations easier.
Learn more about algebraic expression here:
.
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Answer:
Step-by-step explanation:
(-3)(2)= -6
(l^2w^3)(lw^4) = l^3w^7
-6l^3w^7
O (4,-2)
O(-5,4)
O(-1,1)
Answers
Answer:
B.
Step-by-step explanation:
GIven that and
, and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is:
The location of B is now determined after algebraic handling:
Then:
Which corresponds to option B.
The coordinate of point B will be (4, -2). Then the correct option is B.
What is coordinate geometry?
Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.
Point A is located at (-2, 2), and point M is located at (1,0).
If point M is the midpoint of AB.
Then the location of point B will be
We know that the mid section formula
Then the formula can be written as
x₂ = 2x - x₁ and y₂ = 2y - y₁
Then we have
x₂ = 2 × 1 + 2
x₂ = 4
y₂ = 2 × 0 - 2
y₂ = - 2
Then the coordinate of point B will be (4, -2).
Thus, the correct option is B.
More about the coordinate geometry link is given below.
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gas. The fuel gauge of her car shows that the
gas tank is full. How many gallons of gas are
in the gas tank?
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