The circle has radius 6 feet, so its total circumference is 2<em>π</em> • (6 ft) = 12<em>π</em> ft.
As an arc, the complete circle corresponds to a central angle of 2<em>π</em> radians. So the red arc corresponds to a central angle <em>θ</em> such that
<em>θ</em> / (15 ft) = (2<em>π</em> rad) / (12<em>π</em> ft)
Then
<em>θ</em> = (15 ft) • (2<em>π</em> rad) / (12<em>π</em> ft) = 15/6 rad = 2.5 rad
Answer:
True
Step-by-step explanation:
In Mathematics, A radical symbol is defined as √
It is an expression that is uses a root, such as the square root (√ ) or cube root ( ∛ )
To fully show a radical expression:
A is the radicand
√ is the radical symbol
Here, the degree is 2.
<u>Quotient Rule for Radicals</u>
For non- negative real numbers, x and y:
=
Example :
= = = 2
So, in simplifying radicals, quotient rule is used as demonstrated above. So the condition is true
Answer:
Step-by-step explanation:
Translate the verbal statements into a system of linear equations: Fatima invested a total of $1000 in two simple-interest bank accounts. One account paid 5% annual interest; the other paid 6% annual interest. The total amount of interest she earned after 1 year was $56
Simple interest formula =
I = PRT
We are to find the Amount = Principal invested
For Account 1
I1 = P × 5% × 1
= 0.05P
Account 2
I2 = P × 6% × 1
= 0.06P
Therefore:
0.05P + 0.06P = $56
You need to solve for one of the variabkes and then plug it in
when I did one of them I got a=5-3b/2 so after that you plug that in for a and solve for the other variable, hope it helps