Answer:
11 boxes will be fully packed and .25 will be remaining
Answer:
{-1,0,1}
Step-by-step explanation:
The domain of a function is the set of all input values. The input values are the first coordinate in any coordinate pair (x,y).
So the domain here is {-1, 0, 1}.
Answer: 70 ml of coffee in each cup
Step-by-step explanation:
1 liter = 1000 ml
Amount of coffee given = <em>2.1 liters</em>
<em>2.1 liters = 2.1 * 1000 = 2100 ml</em>
Total number of cups = 30
Amount of coffee in each cup =
=
=70
<em>∵ Amount of coffee in each cup </em>= <u>70 milliliters</u>
Answer:
c = 13.2
Step-by-step explanation:
* Lets explain how to solve the problem
- In Δ ABC
# Side a is opposite to ∠A
# Side b is opposite to ∠B
# Side c is opposite to ∠C
- The sine rule is:
# 
* Lets solve the problem
- In Δ ABC
∵ m∠A = 16°
∵ m∠B = 49°
∵ The sum of the measures of the interior angles of a triangle is 180°
∴ m∠A + m∠B + m∠C = 180°
∴ 16° + 49° + m∠C = 180°
∴ 65° + m∠C = 180° ⇒ subtract 65° from both sides
∴ m∠C = 115°
- Lets use the sine rule to find c
∵ a = 4 and m∠A = 16°
∵ m∠C = 115°
∵ 
- By using cross multiplication
∴ c sin(16) = 4 sin(115) ⇒ divide both sides by sin(16)
∴ 
* c = 13.2
Answer:
<em>The perimeter of the fencing is 44 feet (Option D)</em>
Step-by-step explanation:
<u>Area and Perimeter</u>
A square shape of side length (a) has an area given by:

And its perimeter is calculated as:
P = 4a
The area of Katrina's square garden is given as A=121 square feet. We need to calculate the side length by solving for a:

a = 11 feet
Once we know the value of a, then we calculate the perimeter:
P = 4*11 = 44
The perimeter of the fencing is 44 feet (Option D)