Answer: 100 square feet
How many square feet is a 10x10 room? The square footage of a room 10 feet wide by 10 feet long is 100 square feet. Find the square footage by multiplying the width (10 ft) by the length (10 ft).
Answer:
The area of a rhombus is
square units.
Step-by-step explanation:
Side length of rhombus = 6 units.
Interior angle of rhombus = 120°
another Interior angle of rhombus = 180°-120° = 60°.
Draw an altitude.
In a right angled triangle
![\sin \theta=\frac{opposite}{hypotenuse}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D)
![\sin (60)=\frac{h}{6}](https://tex.z-dn.net/?f=%5Csin%20%2860%29%3D%5Cfrac%7Bh%7D%7B6%7D)
![\frac{\sqrt{3}}{2}=\frac{h}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%3D%5Cfrac%7Bh%7D%7B6%7D)
Multiply both sides by 6.
![3\sqrt{3}=h](https://tex.z-dn.net/?f=3%5Csqrt%7B3%7D%3Dh)
The height of the rhombus is
.
Area of a rhombus is
![Area=base\times height](https://tex.z-dn.net/?f=Area%3Dbase%5Ctimes%20height)
![Area=6\times 3\sqrt{3}](https://tex.z-dn.net/?f=Area%3D6%5Ctimes%203%5Csqrt%7B3%7D)
![Area=18\sqrt{3}](https://tex.z-dn.net/?f=Area%3D18%5Csqrt%7B3%7D)
Therefore, the area of a rhombus is
square units.
Answer:
It will cost $6 to buy enough lemons.
Step-by-step explanation:
Consider the provided information.
To make a 9-inch lemon pie requiring 1/2 cup of lemon juice.
1 cup = 16 tablespoons
1/2 cup = 8 tablespoons
That means we only need 8 tablespoons.
Each lemon yields 2 tablespoons of lemon juice.
Number of lemon required = 8 ÷ 2 = 4
That means we need only 4 lemon.
Store is selling lemons at 2 for $3 that means 4 lemons for $6.
Hence, it will cost $6 to buy enough lemons.
95, 45, 37, 82, 90, 100, 91, 78,67,84,85,85, 82, 91,
Scrat [10]
Answer:
80.88
Step-by-step explanation:
The mean is the average of the numbers. To calculate that, just add up all the numbers, and then divide by how many numbers there are. In other words it is the sum divided by the count.
95 + 45 + 37 .....
divided by 24 (the total number of numbers)
1,941 / 24 = 80.875
80.8<u>7</u>5 rounded to the nearest hundredth = 80.88
*
(hundredths place)
Rounding rule: If the digit to the right of the place you are rounding to is 5 or more, then round up to the next digit.
Answer:
Volume of the hive is 4712.4 square inches.
Step-by-step explanation:
Since hive has the shape of a cone with radius = 15 inches and height = 20 inches
Therefore, volume of the given cone = ![\frac{1}{3}(\text{Area of the base})\times \text{height}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%28%5Ctext%7BArea%20of%20the%20base%7D%29%5Ctimes%20%5Ctext%7Bheight%7D)
Area of the circular base = πr²
Area = π(15)²
= 225π
Volume of the cone = ![\frac{1}{3}(225\pi )\times{20}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%28225%5Cpi%20%29%5Ctimes%7B20%7D)
= 1500π
= 4712.39
≈ 4712.4 square inches
Therefore, volume of the hive is 4712.4 square inches.