Remember the notation..
When you have a triangle called ABD, the angles may be called in theses equivalent ways>
angle A is equivalent to ∠ DAB
angle B is equivalent to ∠ ABD
angle D is equivalen to ∠ BDA
Then given that the two triangles are congruent, you can say an
angle B = angle F = ∠ EFC
So the answer is the last option of the list.
1 pound = 453.59237 grams
1 cubic inch = 16.387064 milliliters
19.3 grams * 1 pound / 453.59 grams =
<span>
<span>
<span>
0.0425494389
</span>
</span>
</span>
pounds
1 cubic inch * 16.387
<span>
<span>
0.0425494389 * 16.387 = </span></span><span><span><span>0.6972576553
pounds / cubic inch
</span> </span></span>
Speed is distance traveled per block of time. As an equation, this is
Speed = distance/time
In your problem, the given distance is 300km, and the time is 2.5 hours.
Plugging into the equation,
Speed = 300km / 2.5 h
Speed = 120 km/h
Velocity is speed <em>and</em> direction.
The velocity would be 120 km/h north.
Answer:
C
Step-by-step explanation:
In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:
N1⋅N2=a⋅c=1⋅−12=−12
AND
N1+N2=b=−1
After trying out a few numbers we get N1=3 and N2=−4
3⋅−4=−12, and 3+(−4)=−1
x2−x−12=x2−4x+3x−12
x(x−4)+3(x−4)=0
(x+3)(x−4)=0
Now we equate the factors to zero.
x+3=0,x=−3
x−4=0,x=4
Answer:
19.9 miles
Step-by-step explanation:
In this problem we have:
is the distance travelled during the 1st day
is the distance travelled during the 2nd day
is the distance travelled during the 3rd day
is the distance travelled during the 4th day
We notice that the difference between the distance travelled on the (n+1)-th day and the distance travelled on the n-th day doubles every day. In fact:
Which can be rewritten using the general formula:
This means that
By applying this formula recursively, we can find the 7th term, which is the distance travelled on the 7th day:
So, the distance travelled on the 7th day is 19.9 miles.
