Answer:
sqrt(464)
Step-by-step explanation:
|| 4v|| = || 4* (2i - 5j) ||
=|| 8i -20j||
We need to find the magnitude
|| 4v|| = sqrt( 8^2 + (-20)^2))
= sqrt(64+ 400)
= sqrt(464)
Hmm, so that means that the diagonal of the square is 8
we draw and get a right triangle
pythagorean theorem
the legs are the same measure since it's a square
the hyptonue is 8
so
remember if the legs are a and b and the hypotnuse is c then
a²+b²=c²
alrighty
a=b
c=8
a²+a²=8²
2a²=64
divide both sides by 2
a²=32
sqrt both sides
a=√32
wait, the area is side times side, but it's a square so it's side² which is a²=32
the area is 32
answer is A
Answer:
B
Step-by-step explanation:
Answer:
i = 77.5°
k = 77.5°
j = 102.5°
h = 155°
Step-by-step explanation:
Since we have an isosceles triangle, we know that ∠i and ∠k are equal. So,
180 - 25 = 2x
155 = 2x
x = 77.5
So m∠i = m∠k = 77.5°
To find m∠j, we use Supplementary Angles:
180 - 77.5 = 102.5°
To find m∠h, we also use Supplementary Angles:
180 - 25 = 155°
It is given in the question that B is in between C and D.
Therefore
Substituting the given values of CB,BD and CD, we will get
Combining like terms, we will get
Now we need to move 4 to the right side by adding 4 to both sides, that is
?