I'll help with 1.)
9m:3m = 6m:x
cross multiply
9x=3*6
9x=18
divide both sides 9
x = 2
the missing side is 2m
The missing angle is 30°
Question 2.)
find the ratios to solve for missing side
24:6 = b:4
cross multiply
24*4 = 6b
96 = 6b
divide both sides by 6
16 = b
The missing angle is 32°
Question 3.)
Find missing side d
make a ratio
5:d = 3:9
cross multiply
5*9 = 3d
45 = 3d
divide both sides by 3
15 = d
the missing angle is 90°
Question 4.)
Find missing side s
write as proportion or ratio
36:6 = s:2
cross multiply
36*2 = 6s
72 = 6s
divide both sides by 6
s = 12
The missing angle t is 71°
Hope this helps :)
Let's start by turning it into a decimal.
- to turn any percent into a decimal you move the decimal point two places to the left.
Decimal= 5.85
To turn into fraction you know 5 is the whole number and you have 85 hundredths. Just put that in fraction form.
5 and 85/100
Now simplify by dividing both by 5
Answer is
5 and 17/20
Answer:
Step-by-step explanation:
I'm not sure how you are finding this in class, but the easiest way by far is to use the expressions for h and k:
and
(Just a fun fact: Those expressions come from the quadratic formula that help us to factor a quadratic equation.)
Filling in for h:
simplifies to
Filling in for k:
which simplifies a bit to
which simplifies a bit more to
The vertex, then, is (4, -25).
You would also find this if you completed the square. But again, I'm not sure how you're solving for the vertex in class.
If A(t) is the amount of salt in the tank at time t, then A(0) = 50 g and
A'(t) = (1 g/L)*(3 L/min) - (A(t)/120 g/L)*(3 L/min)
Multiply both sides by 
, so that the left side can be condensed as the derivative of a product:
Integrate both sides and solve for A(t).
Given that A(0) = 50 g, we have
so that the amount of salt in the tank at time t is
Answer:
28
Step-by-step explanation:
-7x2 is -14
-14x-2 is positive 28.
