Answer:
p=59.19°
Step-by-step explanation:
We first find the length BD
BD=√(6²+5²)=√61
Using Pythagorean theorem,we find p by:
cos(p°)=4/√61
p=cos^-1(4/√61)
p=59.19°
x = 112
This is because
<span>4/7x = 64 </span>
<span>7/4 x 4/7 = 64/1 x 7/4 </span>
<span>1x= 448/4 </span>
<span>
x = 112 </span>
he polynomial x(5x² + 10x + 15), it is not completely factored, 5x² + 10x + 15 can still be factored into two binomials.
<h3>
Polynomial</h3>
Polynomial is an expression that involves only the operations of <em>addition, subtraction, multiplication </em>of variables.
Given the polynomial x(5x²+10x+15), it is not completely factored, 5x²+10x+15 can still be factored,
Find out more on Polynomial at: brainly.com/question/2833285
Answer: The smallest valuest value for<em> k </em>is 10, such that LCM o<em>f k</em> and 6 is 60.
Step-by-step explanation:
We know that, LCM = Least common multiple.
For example : LACM of 12 and 60 is 60.
If LCM of k and 6 is 60.
i.e. the least common multiple of k and 6 is 60.
Since, 10 x 6 = 60.
The smallest valuest value for<em> k </em>should be 10, such that LCM o<em>f k</em> and 6 is 60.
Hence, the smallest value of k is 10.
Answer:
2/6561
Step-by-step explanation:
Geometric sequence formula : 
where an = nth term, a1 = first term , r = common ratio and n = term position
given ratio : 1/3 , first term : 2 , given this we want to find the 9th term
to do so we simply plug in what we are given into the formula
recall formula :
define variables : a1 = 2 , r = 1/3 , n = 9
plug in values
a9 = 2(1/3)^(9-1)
subtract exponents
a9 = 2(1/3)^8
evaluate exponent
a9 = 2 (1/6561)
multiply 2 and 1/6561
a9 = 2/6561
