Answer:
I'm going to use the Pythagoras theorem
1. hypotenus²= base²+height²
h²=80²+18²
h²=6400+324
√h²=√6724
hypotenuse= 82
2. 53²=45²+h²
2809=2025+h²
2809-2025=h²
784=h²
√784=√h²
h=28
3. 40²=b²+24²
1600=b²+576
1600-576=b²
√1024=√b²
b= 32
Answer:
0.70 hours= 42.0 minutes. All you have to do is multiply the 0.70 by 60.
Step-by-step explanation:
32+33=65
60/2 is 30, so they have to be in their thirties. Then 2+3=5, therefore they must be 32 and 33
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
<span>Equation at the end of step 2 :</span> 6x2 - x - 4 = 0 <span>((2•3x2) - x) - 4 = 0
</span><span>Step 2 :</span>Trying to factor by splitting the middle term
<span> 2.1 </span> Factoring <span> 6x2-x-4</span>
The first term is, <span> <span>6x2</span> </span> its coefficient is <span> 6 </span>.
The middle term is, <span> -x </span> its coefficient is <span> -1 </span>.
The last term, "the constant", is <span> -4 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 6</span> • -4 = -24</span>
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is <span> -1 </span>.
<span><span> -24 + 1 = -23</span><span> -12 + 2 = -10</span><span> -8 + 3 = -5</span><span> -6 + 4 = -2</span><span> -4 + 6 = 2</span><span> -3 + 8 = 5</span><span> -2 + 12 = 10</span><span> -1 + 24 = 23
</span></span>
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
<span>Equation at the end of step 2 :</span><span> 6x2 - x - 4 = 0 </span>
Answer:
Step-by-step explanation:
Amount deducted for Medicare = $725
Amount deducted for state income tax = $3000
Amount deducted for Social security = $3100
To find: Total amount deducted from Alton's pay for FICA last year
Solution:
Total amount deducted from Alton's pay for FICA last year = Amount deducted for Medicare + Amount deducted for state income tax + Amount deducted for Social security = 
On adding 725 and 3000, we get 
On adding 3725 and 3100, we get 
So, amount deducted =
