Answer:
x = 80
measure of exterior angle = 112°
Step-by-step explanation:
32 + x = 2x - 48 (because the measure of exterior angle is equal to the sum of the two interior angles)
32 + x = 2x - 48
32 = x - 48
x = 80
plug in,
2(80) - 48
160 - 48 = 112
Answer:
<h2>
y = 16/25x³</h2>
Step-by-step explanation:
If y is inversely proportional to a^3, this is expressed as;
y∝1/a³
y = k/a³ where k is the proportionality constant
Given a=2, y=10, then 10 = k/2³
k = 10*2³
k = 80
Substituting k = 80 back into the formula;
y = 80/a³ ............. 1
Similarly, if a is directly proportional to x, then a ∝ x i.e a = kx
If x=4, a=20 then;
20 = 4k
k = 20/4
k = 5
Substituting k = 5 back into the formula;
a = 5x ....... 2
Substitute equation 2 into 1;
y = 80/a³
y = 80/(5x)³
y = 80/125x³
y = 16/25x³
<em>Hence the formula for y in terms of x is y = 16/25x³</em>
<em></em>
Answer:
<h2>
2.4 Litres of water</h2>
Step-by-step explanation:
80% of (3 litres)
You can take 3 litres to be 3000 ml which is how I solved it.
<h2>
OPTION 1</h2><h2>
_________</h2>
80/100 x 3000
=2400 or 2.4 litres
The same can go with not taking ml which you can just use litres
<h2>
OPTION 2</h2><h2>
_________</h2>
80/100 x 3
=2.4 litres
I used the ml since I do not need the calculator for that one and it is faster to calculate.
Answer: 34.10
Find 15% of 207 then ten percent of that and add it to that theres ur answer.
Answer:
$94.50
Step-by-step explanation:
Total No. of students = Lisa(1) + 17 classmates = 1+17 = 18
Money donated by 1 student = $5.25
Money donated by 18 Students = 18*5.25 = $94.50