Answer:
46
Step-by-step explanation:
The geometry can be modeled by a right triangle. The diagonal measure is the hypotenuse, and the height is one leg. The width is the other leg, and can be found using the Pythagorean theorem.
__
<h3>Pythagorean theorem</h3>
The relation between the leg lengths (a, b) and the hypotenuse (c) is ...
c² = a² +b²
Solving for b gives ...
b = √(c² -a²)
<h3>application</h3>
In this problem, we have c=55 and a=30. Then the width of the TV is ...
b = √(55² -30²) = √(3025 -900) = √2125
b ≈ 46.098
The width of the TV is about 46.
Answer:
Step-by-step explanation:
0.75 feet / day [ 1 day / 24 hours] * [12 inches / 1 foot]
This process is called dimensional analysis. The trick it uses is to cancel out units (like feet or days ) where possible. In this case, 1 day is going to cancel out and leave behind 24 hours. 1 foot will cancel out and leave behind 12 inches.
It is well worth learning how to do this, because the process is done in the higher sciences.
So what you are left with is
0.75 * 12 inches / 24 hours
0.75 inches /hour * 1/2
0.375 inches / hour.
Answer:
c = 6
Step-by-step explanation:
(I'm going to call the unidentified inner angle Henry, 'kay?)
First, we need to find Henry.
64 + Henry = 180
(64 - 64) + Henry = (180 - 64)
Henry = 116
Now to c.
Henry + 32 + 5c + 2 = 180
(116 + 32 + 2) + 5c = 180
(150 - 150) + 5c = (180 - 150)
5c/5 = 30/5
c = 6
Number 52 does not belong because 52 is a prime number
Answer:
x = 24
Step-by-step explanation:
using the rule of exponents
× 
= 
consider left side
× 
= × 
= 
then
= 
since the bases on both sides are equal, both 5 then equate exponents
= 16 ( multiply both sides by 6 )
4x = 96 ( divide both sides by 4 )
x = 24
