Answer:
Volume of water and air is 3,000 mm³
Step-by-step explanation:
Given:
Length of base = 15 mm
Width of base = 20 mm
Height of figure = 30 mm
Find:
Volume of water and air is inside each of the plastic ice cubes.
Computation:
Height of each rectangular pyramid = Height of figure / 2
Height of each rectangular pyramid = 30 / 2
Height of each rectangular pyramid = 15 mm
Volume of each rectangular pyramid = lbh / 3
Volume of each rectangular pyramid = [15 × 20 × 15] / 3
Volume of each rectangular pyramid = [4,500] / 3
Volume of each rectangular pyramid = 1,500 mm³
Volume of water and air is inside each of the plastic ice cubes = 2 × Volume of each rectangular pyramid
Volume of water and air is inside each of the plastic ice cubes = 2 × 1,500
Volume of water and air is inside each of the plastic ice cubes = 3,000 mm³
Answer:
£3,780
Step-by-step explanation:
Total rows = 19 rows
Seats per row = 28 seats
Cost of tickets per seats = £8.75
Total number of seats at the concert = Total rows × seats per row
= 19 rows × 28 seats
= 532 seats
The tickets for 100 seats have not been sold
Total number of tickets = sold tickets + unsold tickets
532 = sold tickets + 100
532 - 100 = sold tickets
432 = sold tickets
Sold tickets = 432 tickets
Total cost estimate of sold tickets = sold tickets × cost of tickets per seats
= 432 × £8.75
= £3,780
Answer:
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE
Step-by-step explanation:
We need to place the sides of triangle DE, DF and EF from longest to shortest.
The triangle has longest side that is opposite to the largest angle
We know two angles < E= 61° , <F= 59° we need to find <D
Sum of angles of triangle = 180°
So, 61°+59°+<D=180°
120°+<D=180°
<D=180°-120°
<D=60°
So, the largest angle is <E= 61°
The longest side must be opposite to <E so, the side is DF
The second largest angle is <D=60° so, second side will be EF
The smallest angle is <F=59° so, third (shortest) side will be DE
Arranging from longest (at top) to shortest (at bottom)
DF
EF
DE

Solve for the real domain

if

then


Solve : <span>

</span>
use the logarithmic definition :



Divide both sides by 2 :


hope this helps!
| 1 2 ||x| = |4| - | 3 -1 ||y| |6| <span>-3 | 1 2||x| = |4| </span>
<span>| 3 -1||y| |6| </span>
<span>|-3 -6||x| = |-12| </span>
<span>| 3 -1||y| |6 | </span>
<span>| 0 -7 ||x| = | -6 | </span>
<span>| 3 -1 ||y| | 6 | </span>
<span>y = 6/7 </span>
<span>x = 16/7</span>