Answer:-27.15
Step-by-step explanation:........
In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.
In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90
Simplify by dividing the two out.
h^2 + 6h - 45 = 0.
Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.
After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.
In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68
Hope this helps :)
By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.
<h3>What is percentage ?</h3>
Percentage is a number or ratio expressed as a fraction of 100.
Here given that
Marilyn has two credit cards, D and E. Card D has a balance of $691. 64, and Card E has a balance of $1,014. 22. The minimum monthly payment on Card D is 3. 57% of the total balance, and the minimum monthly payment on Card E is 2. 51% of the total balance
So minimum balance of Card D is 3.57 Percentage of $ 691.64

minimum balance of Card E is 2. 51 Percentage of $1,014. 22.

Now we can see that minimum balance of Card E is 25.49-24.69=0.77 extra that on D
By using basic concept of percentage we got that minimum payment on Card E is 0.77 than on Card D.
To learn more about Percentage visit : brainly.com/question/19247356
Answer:
11
Step-by-step explanation: