Answer:
AB ≈ 4.41
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos25° =
=
=
( multiply both sides by AB )
AB × cos25° = 4 ( divide both sides by cos25° )
AB =
≈ 4.41 ( to the nearest hundredth )
Answer:
The theoretical probability of drawing a red marble is 1/3.
Step-by-step explanation:
1. Add all of the marbles together to get total marbles. 16 + 12 + 8 = 36.
2. Create a fraction, with numerator being favorable outcomes and denominator being total possible outcomes. In this case it would be 12/36.
3. Since it is asking for a reduced fraction, simplify 12/36 to 1/3.
Answer:
<h2> 157</h2>
Step-by-step explanation:
Let us first calculate the circumference of the circular of the circular garden
![C= 2\pi r](https://tex.z-dn.net/?f=C%3D%202%5Cpi%20r)
Given
r= 100
![C= 2*3.142*100\\C= 628.4 ft](https://tex.z-dn.net/?f=C%3D%202%2A3.142%2A100%5C%5CC%3D%20628.4%20ft)
Since the desired space between flowers is 4ft
Then the flowers needed for the garden is ![\frac{628.4}{4} = 157.1](https://tex.z-dn.net/?f=%5Cfrac%7B628.4%7D%7B4%7D%20%3D%20157.1)
Approximately the number of flowers is 157
Hexagon 6 sided shape angle sum 720
Nonagon 9 sided shape angle sum 1260
Octagon 8 sided shape angle sum 1080
Pentagon 5 sided shape angle sum 540
Heptagon 7 sided shape angle sum 900
Answer:
3 1/3 cups total
Step-by-step explanation:
Add together 2 1/8 cups and 1 5/24 cups. The LCD here is 24, and so we rewrite 2 1/8 cups as 2 3/24 cups.
Adding 2 3/24 cups and 1 5/24 cups, we get 3 8/24 cups,
which simplifies to 3 1/3 cups total