Answer:
72 inches
21.3 inches
Step-by-step explanation:
Write a proportion:
height / width = 12 / 27
If height = 32 inches:
32 / width = 12 / 27
Cross multiply:
12 × width = 32 × 27
Solve for width:
width = 32 × 27 / 12
width = 72
If width = 48 inches:
height / 48 = 12 / 27
Cross multiply:
27 × height = 12 × 48
Solve for height:
height = 12 × 48 / 27
height = 21.3
Answer:
Quotient : 2x^2 + 5x + 3
Remainder : x + 3
Step-by-step explanation:
I've attached the solution
If you pour out 1/4 of the water and it’s 7 gallons, then 7 x 4 ( or 7/.25) = 28 gallons.
C(a,b), because the x-coordinate( first coordinate) is a (seeing as it is situated directly above point B, which also has an x-coordinate of a) and the y-coordinate ( second coordinate) is b (seeing as it is situated on the same horizontal level as point D, which also has a y-coordinate of b)
the length of AC can be calculated with the theorem of Pythagoras:
length AB = a - 0 = a
length BC = b - 0 = b
seeing as the length of AC is the longest, it can be calculated by the following formula:
It is called "Pythagoras' Theorem" and can be written in one short equation:
a^2 + b^2 = c^2 (^ means to the power of by the way)
in this case, A and B are lengths AB and BC, so lenght AC can be calculated as the following:
a^2 + b^2 = (length AC)^2
length AC = √(a^2 + b^2)
Extra information: Seeing as the shape of the drawn lines is a rectangle, lines AC and BD have to be the same length, so BD is also √(a^2 + b^2). But that is also stated in the assignment!
Given that the number, 5,83_ has 2 as a factor.
It implies that the number 5,83_ is an even number
The number contains
5 thousands
8 hundreds
3 tens
? units
The possible units of an even number are 0, 2, 4, 6, and 8
Therefore, the unknown digit could be 0, 2, 4, 6, or 8