Answer:
see explanation
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, hence
AE = EC, that is
x² - 6 = 5x ( subtract 5x from both sides )
x² - 5x - 6 = 0 ← in standard form
(x - 6)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 1 = 0 ⇒ x = - 5
However x > 0 ⇒ x = 6
AC = x² - 6 + 5x = 6² - 6 + 5(6) = 36 - 6 + 30 = 60
Answer:
Area= 50√3 units^2
Step-by-step explanation:
Given:
In given triangle, there are two sides with length 10√3 and 20 along with angle of 30° between them.
As the given triangle is SAS triangle, we'll use the following formula to calculate its area:
A=1/2absinC
where a= 20
b= 10√3
and c=30°
Now putting values we get:
A=(1/2)(20)(10√3) sin(30)
=100√3(1/2)
=50√3
so the area is 50√3 units^2 !
Answer:
f=8
Step-by-step explanation:
The value of p and q is 2 , -8 , The nth term of the series is given by 3 * n² + n-2 , the 40th term is 4838 .
<h3>What is a quadratic Sequence ?</h3>
A sequence which has n term in its sequence , The difference of the consecutive number is not same , its second difference is same.
The sequence is given as 7; p; -3;q;...
for a linear pattern
7-p = p- (-3) = -3-q
2p = 4
p = 2
and
2+3 = -3 -q
5 +3 = -q
q = -8
The value of p and q is 2 , -8
A quadratic sequence is defined as 2; 12; 28; 50
The next two terms are 77 and 112.
3. The T40 of the sequence is
The nth term of the series is given by
3 * n² + n-2
therefore 40th term is
3 *40² + 40-2
3 *1600 +38
4838
Therefore the 40th term is 4838 .
To know more about Quadratic Sequence
brainly.com/question/22412845
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Answer:
A=51
a=22.2
c=28.6
Step-by-step explanation:
∠A=180-90-39
=51
a/sin51=18/sin39
a=22.2
c/sin90=18/sin39
c=28.6
