Answer:
Step-by-step explanation:
<h3>Garden A</h3>
<u>Rectangle with sides</u>
- Width ⇒ 2x - 3 feet
- Length ⇒ 5(2x - 3) = 10x - 15
<u>Perimeter is</u>
- 2(w + l) = 2( 2x - 3 + 10x - 15) = 24x - 36
<h3>Garden B</h3>
<u>Triangle with sides</u>
<u>Perimeter is</u>
- 5x + 5 + 4x + 2 + 8x - 8 = 17x - 1
<h3>Statement 3</h3>
<u>The difference in perimeters is the difference is fencing:</u>
- 24x - 36 - (17x - 1) = 24x - 17x - 36 + 1 = 7x - 35
Since it is different from 7x - 37 the statement is FALSE
<h3>Statement 4</h3>
Garden A is surrounded by a path of 2.5 ft wide
It will have the perimeter added by 2.5*2*4 = 20 ft as each side is extended by 2*2.5 ft = 5ft
<u>So the perimeter is going to be:</u>
This statement is TRUE
Answer:
9/a
Step-by-step explanation:
8/a - 6/a + 7/a
Since the denominators are the same, we can add the numerators
8-6+7 =9
Then put it over the common denominator a
9/a
Answer:
80m^3
Step-by-step explanation:
Here,
For the base of pyramid which is a rectangle,
length(a) = 8m
breadth(c) = 5m
For the pyramid,
actual height (h) = 6m
Now,
The formula for the Volume of a rectangular based pyramid is,
1/3 * Area of base rectangle * height
= 1/3 * (a*c) * 6 [ Because area of rectangle is product of its two sides, length and breadth]
= 2 * 8 * 5
80m^3
The slope is the change in Y over the change in X
The change in y is -2-0 = -2
The change in X is 3-9 = -6
The slope is -2/-6, which simplifies to 1/3
4/16 in simplest form is 1/4 because 4 goes into 4 1 time and 4 goes into 16 4 times
