Given parameters:
Length of the gift box = 8 inches
Width of the box = 3 inches
Height of the box = 4 inches
Unknown :
Length of its longest diagonal = ?
Solution:
This is a rectangular box.
To find the diagonal of such box, let us use the formula below;
Diagonal = 
l is the length
w is the width
h is the height
Input the parameters and solve;
Diagonal =
= 9.4inches
The diagonal of the box is 9.4inches
<em>Answer:</em>
<em> 56 tablets</em>
<em>Step-by-step explanation:</em>
Jonah knows that Mr. Robinson needs 14 tablets for a week's supply of an anti-inflammatory drug.
<em>Mr. Robinson is going on vacation and needs a 4-week supply. </em>
<em>So </em><u><em>multiplying 4 with the weekly supply</em></u><em> will yield the required result. </em>
So, number of tablets Jonia needs to fill is,
=4\times 14
=56
<em>Therefore, Jonah needs </em><u><em>56 tablets</em></u><em> in order to fill his prescription</em>
Answer:
2.28%
Step-by-step explanation:
The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and if it is negative then it is below the mean. It is given by:

Using translation concepts, it is found that the transformed image of (5,-4) after the composition will be given by:
D.) (-6, 6)
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, first the image is rotated 180º around the origin, hence:
(x,y) -> (-x, -y), then:
(5,-4) -> (-5, 4).
Then, T(-1,2) means that:
(x,y) -> (x - 1, y + 2).
Then:
(-5,4) -> (-5 -1, 4 + 2) -> (-6,6)
Hence option D is correct.
More can be learned about translation concepts at brainly.com/question/4521517
#SPJ1
following expression
is equal to
. Kindly match with your options!
<u>Step-by-step explanation:</u>
Here we have , following expression to evaluate . 1/3(9 - 18x) + 1/4(8x - 12 or ,
:
⇒ 
⇒ 
⇒
{ Making denominator of both terms same ! }
⇒ 
⇒ 
⇒ 
⇒
{ Simplifying even further }
⇒ 
Therefore , following expression
is equal to
. Kindly match with your options!