Answer:
3.11
Step-by-step explanation:
[(3.5)(2) + (3)(3+4)] ÷ 9
(7 + 21)/9 = 28/9
3.111111
3.11
Answer:
<em>8 C sometimes</em>
<em>9 64x^8 y^11</em>
<em>10 c 1.28r^2/ t^9</em>
Step-by-step explanation:
<u>Algebraic Operations
</u>
Some basic rules must be fresh in our minds when trying to simplify complex algebraic expressions. For example, the power rule respect to the product or quotient:



Let's face the questions at hand
8. A number is raised to a negative exponent is negative?
Following the expressions recalled above, let's pick the expression

This is a negative power resulting in a positive number
Now we pick

This time, the negative power leads to a negative result, so it doesn't matter the sign of exponent to determine the sign of the result
<em>Answer: C sometimes
</em>
9 simplify(4xy^2)^3(xy)^5



10 simplify(2t^-3)^3(0.4r)^2




Answer:
7 1/2 miles
Step-by-step explanation:
The distance to the airport is 10 miles
The distance to the lake is 3/4 the distance to the airport
d =3/4 *10
d =30/4 = 7 2/4 = 7 1/2 miles
Answer:

Step-by-step explanation:
we know that
The area of the shaded region is equal to the area of the sector minus the area of the triangle
step 1
Find the area of the circle
the area of the circle is equal to

we have

substitute


step 2
Find the area of the sector
we know that
The area of the circle subtends a central angle of 360 degrees
so
by proportion find out the area of a sector by a central angle of 72 degrees

step 3
Find the area of triangle
The area of the triangle is equal to

step 4
Find the area of the shaded region
Subtract the area of the triangle from the area of the sector
