Answer:
x = - 30
Step-by-step explanation:
x/3 + 8 = - 2 subtract 8 from both sides of the equation
x/3 = -2 - 8 = -10 now multiply both sides by 3
x = -30
Answer:
<h2>width = 7 m</h2><h2>length = 5 m</h2>
Step-by-step explanation:
Perimeter of a rectangle = 2l + 2w
where
l is the length
w is the width
From the question
Perimeter = 24m
The statement
The length is 30 m less than five times the width is written as
l = 5w - 30
Substitute the expression into the above formula and solve for the width
That's
24 = 2( 5w - 30) + 2w
24 = 10w - 60 + 2w
84 = 12w
Divide both sides by 12
w = 7
Substitute this value into l = 5w - 30
That's
l = 5(7) - 30
l = 35 - 30
l = 5
Therefore the dimensions are
width = 7 m
length = 5 m
Hope this helps you
So the picture below shows what the slant height is. It also shows that the pyramid can form a right triangle, in which we can use the pythagorean theorem, which is 
.
But first, we have to find the height of this pyramid. The volume formula for a square pyramid is 
. Since we know its a square pyramid, the length and width are going to be the same (12 ft), and we know that the volume is 432 ft^3. Using this info, we can solve for the height:
So now we can use the pythagorean theorem (remember to split the 12 by 2, since the right triangle has only half the length of the base). Our equation will be solved as such:
In short, the slant height is 10.8 ft.
Answer:
Option A is the important variable.
Step-by-step explanation:
Given is - At 9:45 a.m. a patient’s temperature was 101.5 degrees at 10:41, the nurse took the patients temperature again and found it was 105.8 degrees, the highest ever recorded.
The variable that is most important here is A: the number of minutes it took for the to reach its peak.
Firstly it is not mentioned if 10:41 is am or pm.
If its am, then such a temperature rise in less than an hour is very dangerous.
So, the important variable is option A.
