Diane wants to paint the ceiling of her restaurant. The ceiling is in the shape of a square. Its side lengths are 39 feet. Suppose each can of paint will cover 169 square feet. How many cans will she need to paint the ceiling?
The area of the square ceiling is calculated by multiplying the length of one side by itself: 39 feet * 39 feet = <<39*39=1521>>1521 square feet
To determine the number of cans needed, divide the total area to be painted by the area covered by each can: 1521 square feet / 169 square feet = <<1521/169=9>>9 cans
Diane will need 9 cans of paint to cover the ceiling. Answer: \boxed{9}.
Yoko bought 36 books. Yoko bought 9 times as many books as Chris. Let b be the number of books that Chris bought.
(a)Write an equation that relates the number of books that they bought.
Use b,36 , and 9.
(b)Find b.
(a) Since Yoko bought 9 times as many books as Chris, we can write the equation as:
36 = 9b
(b) To find b, divide both sides of the equation by 9:
36/9 = b
4 = b
Therefore, Chris bought 4 books.
for a) blank = blank x blank
For a), given that Yoko bought 9 times as many books as Chris, we can write the equation as:
36 = 9 x b
Here, b represents the number of books that Chris bought.
A circle has a diameter of 26m. What is its circumference?
Use 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
The circumference of a circle with diameter d is given by the formula:
Circumference = π * diameter
Given that the diameter is 26m and using π = 3.14, we can calculate the circumference:
Circumference = 3.14 * 26m
Circumference = 81.64m
Therefore, the circumference of the circle is 81.64m.
Find the area of the triangle below.
Be sure to include the correct unit in your answer.
shape: 4 yd, 13yd, and 10yd
To find the area of a triangle, we can use Heron's formula.
Heron's formula states that the area of a triangle with side lengths a, b, and c is:
Area = √(s * (s - a) * (s - b) * (s - c))
Where s is the semi-perimeter of the triangle, calculated as:
s = (a + b + c) / 2
In this case, the sides of the triangle have lengths 4yd, 13yd, and 10yd.
First, we calculate the semi-perimeter:
s = (4 + 13 + 10) / 2
s = 27 / 2
s = 13.5
Now, we can calculate the area using Heron's formula:
Area = √(13.5 * (13.5 - 4) * (13.5 - 13) * (13.5 - 10))
Area = √(13.5 * 9.5 * 0.5 * 3.5)
Area = √(260.625)
Area ≈ 16.135
Therefore, the area of the triangle is approximately 16.135 square yards.
Use the calculator below to approximate 109 as a decimal to the tenths place.
Note that you must do the approximation without using a square root button.
Your answer must be within a tenth of the actual value.