Answer:
15/24
Step-by-step explanation:
hope this helps u.
As you are looking for 1.75 minutes (or 105 seconds), the best thing to do is to find how many words she can type in 0.25 minutes (this is a quarter, and you can divide 1.75 by this). To find a quarter, you have to divide by 4, 120/4= 30. Therefore, every 15 seconds, Dorothy can type 30 words. As you've got 105 seconds, divide this by 15, and this gives you 7. Then multiply 30 by 7, and this gives you 210.
Dorothy can type 210 words in 1.75 minutes
Hope this helps :)
Answer:
b=204
Step-by-step explanation:
The law of sine states that: 
We know that a triangle has 180° total, so we can subtract the two angle measures we know to find the third angle:
°.
Using these two things, we can come up with the equality
, which we can use to solve for side b.
, so we know that
.
Next, we would multiply both sides by b to get
.
Sin49°≈0.75471, so to find b we would multiply 0.75471×270=203.77
Since the problem asks us to round to the nearest whole number, b=204
Hope this helps! :)
The picture in the attached figure
we know that
the total capacity of the storage container=volume of a cone+volume of cylinder
step 1
find the volume of a cone
volume of a cone=(1/3)*pi*r²*h
r=6 m
h=8 m
so
volume=(1/3)*pi*6²*8-----> 301.44 m³
step 2
find the volume of the cylinder
volume of a cylinder=pi*r²*h
r=6 m
h=10 m
s6
volume=pi*6²*10----> 1130.40 m³
total volume=301.44+1130.4-----> 1431.84 m³-------> 1400 m³
the answer is1400 m³
Answer:
C
Step-by-step explanation:
We are given that:

And we want to find k'(3).
So, let's find k'(x). Take the derivative of both sides. This will require the Quotient Rule. Hence:

We want to find k’(3). Substitute:

Using the table, make the appropriate substitutions:

Evaluate:

Therefore, our answer is C.