Answer:
a is approximately 16.25, using the pythagorean theorem.
Step-by-step explanation:
a^2+ b ^2 = c^2
Answer:
225 m²
Step-by-step explanation:
If W is the width of the rectangle, and L is the length, then:
60 = 2W + 2L
A = WL
Use the first equation to solve for one of the variables:
30 = W + L
L = 30 − W
Substitute into the second equation:
A = W (30 − W)
A = 30W − W²
This is a parabola, so we can find the vertex using the formula x = -b/(2a).
W = -30 / (2 × -1)
W = 15
Or, we can use calculus:
dA/dW = 30 − 2W
0 = 30 − 2W
W = 15
Solving for L:
L = 30 − W
L = 15
So the maximum area is:
A = WL
A = (15)(15)
A = 225
There are 2 cups in 1 pint, but 2 cups plus 4 ounces would be greater than 1 pint.
Your answer: 1 pint is lesser than 2 cups and 4 ounces
Answer:
D
Step-by-step explanation:
There 2 ways to interpret this problem.
From the info given:
These two triangles are congruent by SSS and congruent triangles have congruent or equal side lengths so the answer have to be 1.
If the triangles are similar, the side lengths form a proportion of that

So the ratio or scale factor is 1.
Answer:
It takes 14 years for the account balance to reach $10,296.62
Step-by-step explanation:
Given:
Principal amount = $5,887
Rate of interest = 4% and 12 times per year
Balance amount = $10296.62
To find:
The time to reach $10,296.62 = ?
Solution:
We know that

Here,
N(t) = 10,296.62
= $5,887
r = 4 % = 0.04
we have to find the t value
On substituting the given values

Taking ln to remove e we get
ln

ln(1.749) = 0.04t


t = 13.97
t = 14