Answer:
find total volume to find what amount is 20%
hack, is put the 20% in alreadyy to find 20% volume
20%=1/5
so
vcone=1/3(hpir^2)
times thath by 1/5
vcone=1/15(hpir^2)
d/2=r
given
4.8=d
4.8/2=d/2=r=2.4
10=h
V=1/15(10pi2.4^2)
V=1/15(10pi5.76)
V=1/15(57.6pi)
V=3.84pi
V=12.0637 cubic inches=20% of vase
0.5 cubc inches per min
0.5 times t=12.0637
divide both sides by 0.5
t=24.1237
about 24 minutes
Step-by-step explanation:
Answer:
A bag of pop corn costs $8, and each Pretzel costs $4.25.
Step-by-step explanation:
Let
be the price of popcorn, and
the price of Pretzels. If the girl bought 2 bags of popcorn and 5 Pretzels and it cost her $37.25, we have the equation
<em>(this says that the cost of 2 popcorn bags plus 5 pretzels equals $37.25)</em> .
And, since Zoe bought 8 popcorn bags and 9 Pretzels with a total price of $102.25, we get the equation
<em> (this says that the cost of 8 popcorn bags plus 9 Pretzels equals $102.25).</em>
Thus, we have two equations
1. 
2. 
and we solve them by first multiplying equation (1) by 4:
,
and then subtracting it from equation (2):

Now we put this value of
into equation (1) and get:

and we solve for
to get:


Therefore, a bag of popcorn costs $8, and each Pretzel costs $4.25.
Answer:
1. Ali makes three straight long cuts along the diameter of the pizza.
2. Ali makes two straight long cuts along the diameter of the pizza.
Step-by-step explanation:
Answer:
AB = 8.857 cm
Step-by-step explanation:
Here, we are given a <em>right angle</em>
in which we have the following things:

Side <em>BC </em>is the hypotenuse here.
We have to find the side <em>AB</em>.
Trigonometric functions can be helpful to find the value of Side AB here.
Calculating
:
Sum of all the angles in
is
.

We know that <em>cosine </em>of an angle is:

So, side AB = 8.857 cm
.
The four options are attached below
<u><em>Answer:</em></u>Second attachment is the correct choice
<u><em>Explanation:</em></u>ASA (angle-side-angle) means that two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle
<u>Now, let's check the choices:</u><u>First attachment:</u>
It shows that two sides and the included angle between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second one. This is congruency by SAS. Therefore, this option is
incorrect<u>Second attachment:</u>
It shows that two angles and the included side between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second triangle. This is congruency by ASA. Therefore, this option is
correct<u>Third attachment:</u>
It shows that the three angles in the first triangle are congruent to the corresponding three angles in the second one. This is not enough to prove congruency. Therefore, this option is
incorrect<u>Fourth attachment:</u>
It shows that the three sides in the first triangle are congruent to the corresponding three sides in the second one. This is congruency by SSS. Therefore, this option is
incorrect.
Based on the above, the second attachment is the only correct one
Hope this helps :)