Step-by-step explanation:
the ratio of postcard Rapheal to Carlene's was 8 to 5. On Friday both acquired twice as many postcards. Later that week Carlene counted their new numbers of the postcards that she had sixty less postcards than Raphael.How many postcard did Rapheal have first.
Answer:
We need 540 grams of 0.5% hydrocortisone cream
Step-by-step explanation:
Lets call x the amount of grams needed. This means that the combined cream will have 180+x grams. We want x such that
x * 0.005 + 180*0.025 = (180+x)*0.01
Hence
0.005x + 4.5 = 1,8+0.01x
Lets put the x in the same side and take common factor
4.5-1.8 = 0.01x-0.005x
2.7 = (0.01-0.005)x = 0.005x
As a result
x = 2.7*0.005 = 540
We need 540 grams.
Multiply both sides by <span>cos</span><span>
</span><span>r<span>cos<span>(θ)</span></span>=<span>sec<span>(θ)</span></span><span>cos<span>(θ)</span></span>=1</span><span>
</span><span>x=r<span>cos<span>(θ)</span></span></span><span>
</span><span>x=1</span>
M= 33
Since degrees equal with the other one across from them.
N= 57
The reason why is because a right angle equals 90 degrees and 90-33 is 57.
Hope I helped you :-)
Answer:
The value of a = 14
Step-by-step explanation:
Given
(x₁, y₁) = (2, 4)
(x₂, y₂) = (6, a)
(x₃, y₃) = (-1, 1)
A = 9 sq.units
Area of a triangle with vertices (x₁, y₁), (x₂, y₂), and (x₃, y₃) is:
substituting the values (x₁, y₁) = (2, 4), (x₂, y₂) = (6, a), (x₃, y₃) = (-1, 1), A = 9 in th formula
Multiply both sides by 2
simplify
As the area is always positive.
so
Add 18 to both sides
simplify
Divide both sides by 3
Thus, the value of a = 14
