Answer:
the angle is 245°
Step-by-step explanation:
that is a pentagon, (a shape with 5 sides)
we know 4 of the angles in the pentagon
the sum of those 4 angles is
58°+100°+112°+25°=295°
to find a shapes total amount of °, the equation is (n-2)x180°
(5-2)x180°
=540°
540°-295°=245°
x=245°
Answer:
a) v(t) = 14-2t.
b) The particle is moving in a positive direction in the interval [0,7) and it's moving a negative direction in the interval ![(7,\infty)](https://tex.z-dn.net/?f=%287%2C%5Cinfty%29)
c) the particles changes direction at t=7.
Step-by-step explanation:
Recall that
. We will assume that whenever its velocity is positive, it is moving in a positive direction and that whenever the velocity is negative, it is moving in a negative direction. We know that the particle changes direction when the velocity passes from positive to negative or viceversa, as t goes by.
To calculate the velocity (t), we will derivate s(t) with respect to t. Recall that given a functio of the form
its derivative is
. Thus, using the properties of derivatives we get that
.
We can see that 14-2t>0 if 14>2t which is equivalent that 7>t. So the particle moves in a positive direction whenever
. On the same way, 14-2t<0 when t>7 (
and it changes direction at t=7 since it passes from positive to negative.
Answer:
120 cards
Step-by-step explanation:
2,3,4,5, and 6 are all factors of 120
Answer:
0.56%
Step-by-step explanation:
Probability of A and B is P(AB)
Probability of A is P(A)
Probability of B is P(B)
When A and B are independent (unrelated)
P(AB)=P(A)P(B)
In this case
0.08(0.07)=0.0056 or 0.56%
Answer:
6
Step-by-step explanation:
H = 10
L = 8
A = B = ?
By Pythogoras Theorem,
H^2 = L^2 + B^2
(10)^2 = (8)^2 + (B)^2
=> 100 = 64 + (B)^2
=> 100 - 64 = (B)^2
=> 36 = (B)^2
=> (B)^2 = 36
=> B = √36
=> B = 6
=> A = 6