Answer:
Choose the 8th row of Pascal's triangle to get the sequence:
1
,
7
,
21
,
35
,
35
,
21
,
7
,
1
Write the powers of
2
in ascending order up to
2
7
as a sequence:
1
,
2
,
4
,
8
,
16
,
32
,
64
,
128
Multiply the two sequences together to get:
1
,
14
,
84
,
280
,
560
,
672
,
448
,
128
Then:
(
x
+
2
y
)
7
=
x
7
+
14
x
6
y
+
84
x
5
y
2
+
280
x
4
y
3
+
560
x
3
y
4
+
672
x
2
y
5
+
448
x
y
6
+
128
y
7
Answer:
115°
Step-by-step explanation:
See the attached diagram for this answer.
Line j and Line k are parallel to each other and Line t crosses them diagonally.
Now, the angles formed are named according to the problem.
Here, angle ∠ 7 is given to be 65° and we have to find the angle ∠ 6.
Now, line t being a straight line, ∠ 7 and ∠ 6 are supplementary and
∠ 6 + ∠ 7 = 180°
⇒ ∠ 6 + 65° = 180°
⇒ ∠ 6 = 180° - 65°
⇒ ∠ 6 = 115° (Answer)
Ok so ratios
height:shadow =60:24
fractionify
60/24=5/2
5:2 is ratio
if shadow of tree=4 then what is height
5:2=x:4
multipliby 2
10:4=x:4
x=10
10 feet
First of all, let's make the following observations:
15 is an integer, so in particular it is rational. The sum of two rational is rational. This means that is irrational if and only if is irrational.
Similarly, since 17 is rational and the multiplication of two rationals is rational, we have that is irrational if and only if is irrational.
The proof that is irrational is the following: suppose by contradiction that we could write
where a and b are two integers with no common factors.
Squaring both sides, we have
So, is a multiple of 3. This happens if and only if a itself is a multiple of 3. So, we can write and the expression becomes
So, is a multiple of 3 as well, and this happens if and only if b is itself a multiple of 3.
So, we started with the assumption that we could write as a reduced fraction, but this assumption led to a contradiction.
We deduce that is irrational, and so are and
Answer:
i think its x
Step-by-step explanation:
it looks simple yet intimidating