Step-by-step explanation:
A quadrilateral has (four) sides and (four) angles
A pentagon has (five) sides and (five) angles
A cube (six) faces
hope this helps you.
The answer is A. Right, Scalene.
This is because 90 degrees = a right angle
32 and 58 are smaller than 90, making it acute or scalene.
Isosceles means at least two sides are equal.
Equilateral means all sides are equal.
In this case, it is not isosceles or equilateral because the sides are not unequal.
It isn’t D. because that option doesn’t say “right”
Answer:
x = 1 - 5t
y = t
z = 1 - 5t
Step-by-step explanation:
For the equation of a line, we need a point and a direction vector. We are given a point (1, 0, 1).
Since the line is suppose to be a tangent to the given curve at the point (1, 0, 1), we need to find a tangent vector for which the curve passes through that point.
We have x = e^(-5t)cos5t
at t = 1, x = e^(-5)cos5
at t = 0, x = 1
y = e^(-5t)sin5t
at t = 1, y = e^(-5)sin5
at t = 0, y = 0
z = e^(-5t)
at t = 1, z = e^(-5)
at t = 0, z = 1
Clearly, the only parameter value for which the curve passes through the point (1, 0, 1) is t = 0.
In vector notation, the curve
r(t) = xi + yj + zk
= e^(-5t)cos5t i + e^(-5t)sin5t j + e^(-5t) k
r'(t) = [-5e^(-5t)cos5t - e^(-5t)sin5t] i +[e^(-5t)cos5t - 5e^(-5t)sin5t] j - 5e^(-5t) k
r'(0) = -5i + j - 5k
is a vector tangent at the point.
We get the parametric equation from this.
x = x(0) + tx'(0)
= 1 - 5t
y = y(0) + ty'(0)
= t
z = z(0) + tz'(0)
= 1 - 5t
Answer:
Step-by-step explanation:
<u>We have similar triangles here.</u>
- BC║DE, AB║AD and AC║AE ⇒ ΔADE ~ ΔABC
<u>The ratio of corresponding sides of similar triangles is same:</u>
- BC/DE = AC/AE
- BC / 2 = 30/3
- BC / 2 = 10
- BC = 2*10
- BC = 20 m
Answer: 79
Step-by-step explanation:
Line up the numbers from least to greatest. 39, 42, 44, 51, 55, 62, 66, 72, 77, 81, 94, 86 Then find the Median. Look at the upper part of the data set and from there find the 3rd quartile.
