Answer:
<em>2a² = c²</em>
Step-by-step explanation:
Right triangles follow the Pythagorean Theorem, <em>a² + b² = c².</em> The hypotenuse <em>(c)</em> must be the longest of the sides. In the given triangle, both legs measure <em>a</em> units. So, <em>a = b.</em> Therefore, we have <em>a² + a² = c²</em> or <em>2a² = c²</em><em>.</em>
Answer:
<h2>2¹²</h2>
Step-by-step explanation:
The sum of the coefficients in the expansion of (x+1)^12:
= 12C0 + 12C1 + 12C2 + . . . + 12C11 + 12C12
the formula says that this sum equal to 2¹².
Other examples
The sum of the coefficients in the expansion of (x+1)^3:
3C0+3C1+3C2+3C3
=8 = 2³
The sum of the coefficients in the expansion of (x+1)^4:
4C0+4C1+4C2+4C3+4C4
=16 = 2⁴
:)
Answer:
26.5 miles.
Step-by-step explanation:
Given: Time for running Boston Marathon= 2.12 h
Speed= 12.5 mph
Distance covered in Boston Marathon
Distance covered= speed x time
Distance covered = 12.5 x 2.12=26.5 miles
∴ Distance covered in the Boston Marathon is <u>26.5 miles.</u>
Answer:
<h2>The answer is option A</h2>
Step-by-step explanation:
To find the value of x when y = 24, we must first find the relationship between them
<h3>

</h3>
where k is the constant of proportionality
when
x = 16
y = 2
Substitute the values into the above formula and solve for k
That's
<h3>

</h3>
Cross multiply we have the answer as
k = 8
So the formula for the variation is
<h3>

</h3>
Now when y = 24
We have
<h3>

</h3>
Square both sides
<h3>

</h3>
We have the final answer as
<h2>

</h2>
Hope this helps you