Answer:
The parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.
Step-by-step explanation:
Given the parallelogram with sides 20 and 21 units with diagonal length 28 units.
we have to tell it is a rectangle or not.
The given parallelogram is rectangle if the angle at vertices are of 90° i.e the two triangle formed must be right angles i.e it must satisfy pythagotas theorem
Not verified
∴ The sides of the parallelogram do not meet at right angles.
Hence, the parallelogram is not rectangle because the sides of the parallelogram do not meet at right angles.
Option B is correct
Step-by-step explanation:
4.5 s, 324 ft
Explanation:
The object is projected upward with an initial velocity of
v_0 = 144 ft/sv
0
=144ft/s
The equation that describes its height at time t is
s(t) = -16t^2 + 144 ts(t)=−16t
2
+144t (1)
where t, the time, is measured in seconds.
In order to find the time it takes for the object to reach the maximum height, we must find an expression for its velocity at time t, which can be found by calculating the derivative of the position, s(t):
v(t) = s'(t) = -32t +144v(t)=s
′
(t)=−32t+144 (2)
At the maximum heigth, the vertical velocity is zero:
v(t) = 0
Substituting into the equation above, we find the corresponding time at which the object reaches the maximum height:
\begin{gathered}0=-32t+144\\t=\frac{144}{32}=4.5 s\end{gathered}
0=−32t+144
t=
32
144
=4.5s
And by substituting this value into eq.(1), we also find the maximum height:
s(t) = -16(4.5)^2+144(4.5)=324 fts(t)=−16(4.5)
2
+144(4.5)=324ft
<h3>used this way i even don't know sorry:))</h3>
Given:
Arithmetic sequence -5, 13, 31, 49..........
We are to find the explicit formula of the sequence above. An explicit formula provides a binding formula for finding nth term.
To find the formula, we need to know the first term and the common difference.
The common difference is the difference between each successive terms of the sequence.
In the given sequence, the common difference is 18;
13-(-5) = 18
31 - 13 = 18
49 - 31 = 18
n calculation of the nth term
1 -5 -5 + 18(0) = -5
2 13 -5 + 18(1) = 13
3 31 -5 + 18(2) = 31
4 49 -5 + 18(3) = 49
Since the common difference is 18, we can now derive the formula;
b(n) = -5 + 18(n-1)
n is the position of the term
Any number in the sequence can be derived using the explicit formula
-5 + 18(n-1)
A quadratic function:
First, take the point (0,-4) and plug the values (x,y) into the equation:
So the equation is
.
Now plug the values of the other two points into the equation and set up a system of equation:
The function is:
The probability of selecting cheesecake and cookie is 9/100
<h3>What is probability?</h3>
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Total outcome = 3 + 3 + 4
Total outcome = 10
Pr(selecting cheesecake) = 3/10
Pr(selecting cookie) = 3/10
Pr(selectiing cheesecake and cookie) = 3/10 * 3/10
Pr(selectiing cheesecake and cookie) = 9/100
Hence the probability of selectiing cheesecake and cookie is 9/100
Learn more on probability here: brainly.com/question/24756209
