Answer:
13
Step-by-step explanation:
We know that a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 12^2 = c^2
25+144 = c^2
169 = c^2
Taking the square root of each side
sqrt(169) = sqrt(c^2)
13 =c
<h2>
The value of x = - 
</h2>
Step-by-step explanation:
The given expressiona are:
and 
To find, the value of x = ?
∴ 
By crossmultiplication, we get
4(3x + 2) = 2(3x - 6)
⇒ 12x + 8 = 6x - 12
⇒ 12x - 6x = - 12 - 8
⇒ 6x = - 20
⇒ 3x = - 10
⇒ x = - 
∴ The value of x = - 
Thus, the value of x is equal to -
.
Answer
Find out the conversion factor for seconds to minutes and convert 135 seconds to minutes.
To prove
1 minute = 60 second
for seconds to minutes.

Therefore the conversion factor for seconds to minutes be

Now convert 135 seconds to minutes.

= 2.25 minutes
Hence proved
Answer:
1)
; 2) 
Step-by-step explanation:
1) Using the Power of a Fraction Rule
,
, which can just be simplified to
.
2) Using the Negative Exponent Rule,
,
, which can be simplified to
.
Answer:
90 in²
Step-by-step explanation:
The figure's area is that of four right triangles, each with legs of 6 in and 7.5 in. The area of each triangle is half the product of the leg lengths, so is ...
triangle area = (1/2)(6 in)(7.5 in)
Then the area of 4 of those triangles is ...
figure area = 4 · triangle area = 2(6 in)(7.5 in) = 90 in²