Answer:
about 18.8496 ft squared
Step-by-step explanation:
find the area of the garden and the path together. About 69.115 ft squared.
Then find the area of the garden. About 50.2654 ft squared. Then subtract.
Answer:
1309 marbles
Step-by-step explanation:
- Simon has: 727 - 145 = 582 marbles
All together:
- Kadon marbles + Simon marbles
- 727 marbles + 582 marbles
The corresponding height of the triangle is 1.6 units
The formula for calculating the area of a triangle is expressed as:

- b is the base of the triangle
- h is the height of the triangle
Given the coordinates of the base BC of the triangle given as B(3, 2), and C(-1,-1). Using the distance formula:

The area of the triangle passing through the coordinate points A(-1, 1), B(3,2), and C(-1, -1) is expressed as:
![A=\frac{1}{2}[x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)]\\](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5Bx_1%28y_2-y_3%29%2Bx_2%28y_3-y_1%29%2Bx_3%28y_1-y_2%29%5D%5C%5C)
Substituting the coordinate points:
![A=\frac{1}{2}[(-1)(2-(-1))+3(-1-1)+-1(1-2)]\\A=\frac{1}{2}[(-1)(3)+3(-2)+-1(-1)]\\A=\frac{1}{2}[-3-6+1]\\A=\frac{1}{2} (-8)\\|A| =4 units^2](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B%28-1%29%282-%28-1%29%29%2B3%28-1-1%29%2B-1%281-2%29%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B%28-1%29%283%29%2B3%28-2%29%2B-1%28-1%29%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%5B-3-6%2B1%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%20%28-8%29%5C%5C%7CA%7C%20%3D4%20units%5E2)
Recall that:

Hence the corresponding height of the triangle is 1.6 units
Learn more on area of triangles here: brainly.com/question/17335144
Answer:
Part c) 
Part d)
or 
Step-by-step explanation:
Part c) Find the volume of the inverted rectangular pyramid
The volume of the rectangular pyramid is equal to

where
B is the area of the rectangular base
h is the height of pyramid
<em>Find the area of the base B</em>


substitute


Part d) Find the maximum volume of tea in the tea cup
we know that
The volume of cylinder (tea cup) is equal to

we have

substitute

-----> exact value
<em>Find the approximate value</em>
assume


Answer:
A=10506.25 Sq.yards
Step-by-step explanation:
Width of the park=85 yds
Lenght of the park=120 yds
Now,
A=L*W
A=120*85
A=10200 square yards. This is the area of your given rectangle.
Now,
P=2(L+W)
P=2(120+85)
P=2(205)
P=410 this is the perimeter of your given rectangle.
Now,
a=410/4=102.5
Now,calculate the area of newly given distance of each side:
A=a^2
A=102.5^2
A=10506.25 Sq. Yards
This is the new area and is larger than the area of the given rectangle which was 10200 square yards.