Answer:
I think it is 192
Step-by-step explanation:
Volume of cube: 5 x 4 x 8 = 160
Area of diagonal: 160/2 = 80
Length of diagonal: 80 / 0.5 x 3 = 480
AB = 480 / 5 x 2 = 192
Convert the mixed number <span>21 <span>2/3</span></span><span> into an </span><span>improper fraction.
</span>15⋅<span>65/3
</span><span>Cancel 3 and 15.
</span><span>5⋅65
</span>Multiply 5<span> by </span>65<span> to get </span><span>325.
</span>325
Answer:
325
Step 1
Find the equation of f(x)
we have the points
(-10,-6) and (0,4)
Find the slope m
The function in slope intercept form is equal to
we have
-----> the point (0,4) is the y-intercept
substitute
step 2
Find the equation of g(x)
we have the points
(-2,-6) and (0,4)
Find the slope m
The function in slope intercept form is equal to
we have
-----> the point (0,4) is the y-intercept
substitute
step 3
Find the value of k
we have
-----> equation A
-----> equation B
----> equation C
substitute equation A and equation C in equation B and solve for k
-5/8c = 20....multiply both sides by -8/5 (this cancels out the -5/8 on the left
c = 20(-8/5)
c = -160/5
c = - 32
check..
-5/8(-32) = 20
160/8 = 20
20 = 20 (correct)
so c = -32
Answer:
no rain today = 35%
Step-by-step explanation:
In probability, the Complement Rule states that the sum of the probability of an event and its complement must = 1
i.e
P( Event) + P (Complement) = 1
In this sense, we can think of the complement of an event as the "not-event". I.e the event does not happen.
In our case, the event = "rain today",
hence the complement will be = "not rain today" (i.e no rain today)
using the formula above, we are given that P(rain today) = 65% = 0.65
hence
0.65 + P(Complement) = 1
P(Complement) = 1 - 0.65 = 0.35 = 35%