Answer:
14
Step-by-step explanation:
First, we have to get the breadth value.
By the pythagoras theoreom,
Diagonal²=length² + breadth²
breadth = √( Diagonal²- length²)
breadth = √( 5² - 4²)
breadth = √9
breadth= 3
Perimeter of a rectangle = 2x ( length + breadth)
= 2 x ( 4 + 3)
= 2 x 7
= 14
Answer:
35
Step-by-step explanation:
2/5 + 3/7
the least common denominator is 35 because 14/35 + 15/35.
Answer:
Step-by-step explanation:
Not sure what form you need this in, but it really doesn't matter, as you'll see in the final equation. I used the vertex form and solved for a:

We are given the vertex (h, k) as the origin (0, 0), and we have a point that the graph goes through as (4, -64). That's our x and y. Plugging in what we have:
gives us
-64 = 16a and
a = -4. That means that the quadratic equation is
which is both vertex form and standard form here, no difference.
Answer:
For right angle triangle,
we use Pythagoras theorem that is:

c = 
For question 1:
c = ?
a = 40
b = 9
putting them in formula,
c = 
c = 41
For question 2:
c = ?
a = 12
b = 13
putting them in formula,
c = 
c = approximately 17.69181
For question 3:
c = 35
a = 20
b = ?
putting them in formula,


1225 = 400 + 
= 1225 - 400
= 825

b = 5 
For question 4:
c = 37
a = 20
b = ?
putting them in formula,


1369 = 400 + 
= 1369 - 400
= 969
Taking square root on both sides
b = 31.12
Hope it helps.
If secant of theta =
<span>
<span>
<span>
1.0416666667
</span>
</span>
</span>
then
theta = 16.26 Degrees
cotangent of theta = 3.4286