2 triangles with a base of 8 and height of 6 divide the base and height in half to get the Base and height of 1 triangle and then use 1/2 B•H to find the area of one triangle 1/2 (4•3) = 6
Answer:
<h3>0.36 x 10⁰</h3>
Step-by-step explanation:
Answer:
h ≤ 124 / 9
or
h ≤ 13.78
Step-by-step explanation:
(3/4) (12h - 32) ≤ 100 (multiply both sides by 4)
(3) (12h - 32) ≤ 100 (4)
(3) (12h - 32) ≤ 400 (distribute 3 into the parenthesis)
(12h)(3) - (32)(3) ≤ 400 (expand left side terms)
36h - 96 ≤ 400 (add 96 to both sides)
36h ≤ 400 + 96
36h ≤ 496 (divide both sides by 36)
h ≤ 496 / 36 (sinmplify)
h ≤ 124 / 9
or
h ≤ 13.78
Answer:
(h,k) = (32,-4)
r = 32
Step-by-step explanation:
The general equation for a circle is given by:
(1)
where (h,k) is the center of the circle and r is the radius.
You have the following equation:
(2)
You first need to complete squares in order to obtain an equation of the form (1). Thus, you have that the second term must be in a perfect square trinomial:
2b = 64
b = 32
Then, you have to sum 32^2 and also subtract the same number in the expression (2):

you compare the last result with expression (1) and obtain that the raiuds of the circle is r = 32
Furthermore, the center of the circle is (h,k) = (32,-4)
Answer:
The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.
Step-by-step explanation:
Let "b" be the amount of Brazilian coffee, in pounds, required for the blend and "c" the amount of Colombian coffee required, in pounds.
Since there are two unknown variables a two-equation system is needed to solve the problem, we can set up one equation for weight and another for price as follows:

Solve for "c" by multiplying the first equation by -10 and adding it to the second one:

Now, solve for b by replacing the value obtained into the first equation

The store should use 112.5 pounds of Brazilian coffee and 37.5 pounds of Colombian cofee.