Answer:
m∡A = 41.4°
m∡B = 48.6°
m∡C = 90°
a = 3
b = 9
c = 12
Step-by-step explanation:
to find the length of side 'a' I used the Pythagorean Theorem to get:
a² + 9² = 12²
a² + 81 = 144
a² = 63
a = 
which equals 
which is 3
to find m∡B I found the arcsin(B) = 9/12 to get 48.6
to find m∡A I subtracted the sum of 90 + 48.6 from 180°
Answer:
Its -2
Step-by-step explanation:
Let's solve your equation step-by-step.
−12−4x+3=−1
Step 1: Simplify both sides of the equation.
−12−4x+3=−1
−12+−4x+3=−1
(−4x)+(−12+3)=−1(Combine Like Terms)
−4x+−9=−1
−4x−9=−1
Step 2: Add 9 to both sides.
−4x−9+9=−1+9
−4x=8
Step 3: Divide both sides by -4.
−4x
−4
=
8
−4
x=−2
Answer:
37
Step-by-step explanation:
This may look like a complicated problem but it's some simple analyzing of the problem to get the job done:
"The sum" tells that we are going to be adding together the next two phrases separated by "and"s.
That is "8 times a number 4" <em>and</em> "5"
Therefore, we need to add 2 groups:
(8*4) + (5)
Now, we simply use PEMDAS (or GEMDAS) to solve the expression:
(8*4) + (5)
= (32) + (5)
= 32 + 5
= <u>37</u>
Let the amount invested at 4% be = x
Let the amount invested at 3% be = y
Given is:
or 
.... (1)
As, total income for the two investments is $194, so equation is:
....(2)
Putting value of x from (1) in (2)
And x=5200-y
Hence, money invested at 4% is $3800 and money invested at 3% is $1400
Answer:
each student will receive 14 pieces of candy and that leaves 6 pieces for himself.
14*21=294
294+6=300
