The answers for edunuity are 1,3,5,6 you're welcome.
Answer:
0.375
Step-by-step explanation:
Answer:
Step-by-step explanation:
Factor
2
out of
2
x
2
.
2
(
x
2
)
+
6
x
−
4
Factor
2
out of
6
x
.
2
(
x
2
)
+
2
(
3
x
)
−
4
Factor
2
out of
−
4
.
2
x
2
+
2
(
3
x
)
+
2
⋅
−
2
Factor
2
out of
2
x
2
+
2
(
3
x
)
.
2(
x
2
+
3
x
)
+
2
⋅
−
2
Factor
2
out of
2
(
x
2
+
3
x
)
+
2
⋅
−
2
.
2
(
x
2
+
3
x
−
2
)
A right triangle has one leg with unknown length, the other leg with length of 5 m, and the hypotenuse with length 13 times sqrt 5 m.
We can use the Pythagorean formula to find the other leg of the right triangle.
a²+b²=c²
Where a and b are the legs of the triangle and c is the hypotenuse.
According to the given problem,
one leg: a= 5m and hypotenuse: c=13√5 m.
So, we can plug in these values in the above equation to get the value of unknown side:b. Hence,
5²+b²=(13√5)²
25 + b² = 13²*(√5)²
25 + b² = 169* 5
25+ b² = 845
25 + b² - 25 = 845 - 25
b² = 820
b =√ 820
b = √(4*205)
b = √4 *√205
b = 2√205
b= 2* 14.32
b = 28.64
So, b= 28.6 (Rounded to one decimal place)
Hence, the exact length of the unknown leg is 2√205m or 28.6 m (approximately).
Answer: a6=70
Step-by-step explanation:
we know that
In the Arithmetic Sequence the formula is:
an= a1 + d(n−1)
where
a1 is the first term
d is the common difference
n is the number of terms
in this problem
a1=5
a2=18
a3=31
a4=44
a5=57
so
d=a2-a1 or a3-a2 or a4-a3 or a5-a4
d=57-44----> 13
find a6
a6= a1 + d(n−1)
n=6
d=13
a1=5
a6=5+13*(6-1)----> a6=5+13*5----> a6=70
