Answer:
C. Obtuse
Step-by-step explanation:
An obtuse triangle is a triangle with one obtuse angle and two acute angles.
Well if you make $7.25 an hour and work four hours then multiply
7.25 x 4 = 29
so you make $29 a day and you work fro 5 days multiply the amount and the days which is
29 x 5 = 125
so you make $125 dollars after working 4 hours a day for 5 days
Answer:
x^2 - 6x - 4 = x^2 - 6x + 9 - 13 = x^2 - 2.x.3 + 3^2 - 13
= (x-3)^2 - 13
(m = -3 and n = -13)
Answer:
<h3>36 and 12</h3>
Step-by-step explanation:
Let the two positive integers be x and y.
If their product is 432, then
xy = 432 ......... 1
Also if the sum of the first plus three times the second is a minimum, then;
p(x) = x + 3y
From 1;
y = 432/x ..... 3
Substitute 3 into 2;
p(x) = x+3y
p(x)= x + 3(432/x)
p(x) = x + 1296/x
Since the expression is at minimum when dp(x)/dx = 0
dp/dx = 1 + (-1296)/x²
dp/dx = 1 -1296/x²
0 = 1 -1296/x²
0 = (x²-1296)/x²
cross multiply
0 = x²-1296
x² = 1296
x = √1296
x = 36
Since xy = 432
36y = 432
y = 432/36
y = 12
Hence the two positive numbers are 36 and 12
Answer:
$118.25
Step-by-step explanation:
Always convert the percentage to a decimal by moving the decimal two points to the right/dividing by 100. So 7.5 % = 0.075
110 x 0.075 = 8.25 (the amount of tax added)
110 + 8.25 = 118.25
You can also multiply 110 by 1.075, where the "1" is the $110 and the ".075" is the tax, and save the step of adding. 110 x 1.075 = 118.25
