Answer:
A. 3 cm
Step-by-step explanation:
The smallest face has the sides 4 cm and 8 cm. If the water is 4 cm from its top, then the height of the water is
cm and the volume of the water is

The largest face has the sides 8 cm and 16 cm. If the container is placed on its largest face, then the volume of the water is

where h is the height of the water.
Equate volumes of the water:

Therefore, the water is 3 cm from the bottom.
Answer:
A.) 12 3/4 cups
B.) 117 1/3
Step-by-step explanation:
<u>Part A</u>
If one serving of ice tea contains 3/4 cup of water, how much does 7 serving have?
To answer this, you must multiply 3/4 and 17
17 is the same as 17/1, so multiply the numerators and denominators
17 x 3 = 51
1 x 4 = 4
51/4 = 12 3/4
So, Leon used 51/4 or 12 3/4 cups of water
<u>Part B</u>
If the cooler has 88 servings of tea, how many cups of water does it have?
To solve this, divide 88 by 3/4
Dividing 88 by 3/4 is the same as multiplying 88 by 4/3.
Again, 88 is the same as 88/1 so multiply the numerators and the denominators.
88 x 4 = 352
1 x 3 = 3
352/3 = 117 1/3
So, there are 352/3 or 117 1/3 cups of water in the cooler
I hope this helps!
30 60 90 right triangle
leg = 6 so other leg = 6√3
A = (1/2)(6+6)( 6√3+ 6√3)
A = 6 (12√3)
A = 72√3
answer is D
72√3
The projectile's horizontal and vertical positions at time
are given by


where
. Solve
for the time
it takes for the projectile to reach the ground:

In this time, the projectile will have traveled horizontally a distance of

The projectile's horizontal and vertical velocities are given by


At the time the projectile hits the ground, its velocity vector has horizontal component approx. 176.77 m/s and vertical component approx. -178.43 m/s, which corresponds to a speed of about
.
Use PEMDAS with the first 3.
a. 3×(6÷5)
3×(1.2) [Parenthesis first]
3.6. [then multiply]
b. 3÷(5×6)
3÷(30) [Parenthesis first]
.1 [then divide]
c. (3×6)÷5
(18)÷5 [Parenthesis first]
3.6 [then divide]
d. 3×6÷5
18÷5 [Left to right]
3.6 [then divide]