Answer:
3.5355 inches
Step-by-step explanation:
Area should be same the concentric circle and rest piece .
let's consider the radius of concentric circle as r
so it's area is π r²
area of whole circle is π (5)" ( because diameter is 10 inches)
so the area of rest piece is π (5)² - π r²
π (5)² - π r² = π r²
5² = 2r²
r² = 25/2
r = √(25/2)
r = 3.5355 inches
Answer:
The expression that could be used is (-4)(3) + (-4)(
) ⇒ B
Step-by-step explanation:
Let us revise the distributive property:
<em>The product of a number and the sum of 2 other numbers equal to the sum of the products of the number with the other 2 numbers</em>
We will use this rule to solve the question
∵ The product of -4 and 3
= -4 × 3
→ We can right 3
as (3 +
)
∵ 3
= (3 +
)
∴ -4 × 3
= -4(3 +
)
→ By using the rule above
∵ -4(3 +
) = (-4)(3) + (-4)(
)
∴ -4 × 3
= (-4)(3) + (-4)(
)
∴ The expression that could be used is (-4)(3) + (-4)(
)
Answer:

Step-by-step explanation:
To find the coordinates of the point is 1/4 of the way from A (-6, -3) to B (6, 1), we are going to be using the midpoint formula, which states that:
The midpoint is at
. Where:


Then, the midpoint is at:
= 
Now, to find the coordinates of the point that is 1/4 of the way, we are going to calculate the midpoint between the point 'A' and the midpoint previously caculated, as follows:


⇒
= 
Therefore, the point is 1/4 of the way from A to B is: 
Y=16x+7
the x represents the number of memberships the 16 represents the cost of a membership and the 7 represents the additional cost.
Answer:
0.36
Step-by-step explanation:
Percentage of boys = 60%
Percentage of girls = 100 - 60 = 40%
Percentage of boys that arrive by car
= 20% of 60%
= 0.2 x 60 = 12%
Percentage of girls that arrive by car
= 60% of 40%
= 0.6 x 40
= 24%
Total Percentage of children arrive by car
= 12 + 24
= 36%
P(Arrive by car)
= 36%
= 0.36