Step-by-step explanation:
Let's pick two points on the line: 
and 
Let's calculate the slope of this line using these points:
With this value of the slope, we can write the general slope-intercept form of the equation as
To solve for the y-intercept b, let's use either P1 or P2. I'm going to use P2:
Therefore, the slope-intercept form of the equation is
<h3>
Therefore the area of remaining board =13.76 square feet</h3>
Step-by-step explanation:
Given , The length of side of the square is 8 feet.
Since a circle is inscribed in the square. Then the diameter of the circle is equal to the length of side of the square .
Therefore the diameter of the circle is = 8 feet.
Radius of the circle is(r) = 
feet = 4 feet
The area of the circle is= 3.14 r²
= 3.14 × 4² square feet
= 50.24 square feet
The area of the square is = side × side
= 8×6 square feet
=64 square feet
Therefore the area of remaining board = (64- 50.24)square feet
=13.76 square feet
Answer:
144 cloves
Step-by-step explanation:
You separate 42 bulbs of garlic into two groups:one for planting and one for cooking.
We have a ratio of planting to cooking
Planting : Cooking
You will plant 3 bulbs for every 4 bulbs that you will use for cooking.
Hence: 3 : 4
The total of their proportion = 3 + 4 = 7
Hence:
The number of garlic you plant =
3/7 × 42 = 18 bulbs of garlic
The number of garlic you use to cook =
4/7 × 42 = 24 bulbs of garlic
We are also told that:
Each bulb has about 8 cloves. How many cloves of garlic will you plant?
From the calculation above , we know the number of bulbs of garlic been planted
= 18 bulbs.
Hence:.
1 bulb = 8 cloves
18 bulbs = x
x = 8 cloves × 18 bulbs
x = 144 cloves
Therefore, you will plant 144 cloves of garlic
A). They are not similar, because 6/13 is not equal to 8/20
For triangles to be similar, the ratios of sides need to be the same (shortest to shortest, middle to middle, longest to longest). The shortest sides are 6 and 13, respectively, the middle ones are 8 and 20. Because 6/13 is not equal to 8/20, the triangles are not similar.
Answer:
I Believe It Is B.), Have Fun Dreamer!
Step-by-step explanation:
