Answer:
True.
Step-by-step explanation:
C(4, 3) means the number of combinations from 4 items taking 3 at a time. We are selecting 3 distinct items and it doesn't say anything about the order in which they are selected , so we use a combination formula not a permutation ( where order does matter).
C(4, 3) = 4! / 3! 1!
= 4*3*2*1 / 3*2*1*1
= 4.
There are 4 ways to select 3 items from 4.
<u><em>Answer:</em></u>
The bird is approximately 9 ft high up in the tree
<u><em>Explanation:</em></u>
The required diagram is shown in the attached image
Note that the tree, the cat and the ground form a right-angled triangle
<u>Therefore, we can apply special trigonometric functions</u>
<u>These functions are as follows:</u>
![sin(\alpha)=\frac{opposite}{hypotenuse} \\ \\ cos(\alpha)=\frac{adjacent}{hypotenuse} \\ \\tan(\alpha)=\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=sin%28%5Calpha%29%3D%5Cfrac%7Bopposite%7D%7Bhypotenuse%7D%20%5C%5C%20%5C%5C%20cos%28%5Calpha%29%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20%5C%5C%20%5C%5Ctan%28%5Calpha%29%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D)
<u>Now, taking a look at our diagram, we can note the following:</u>
α = 25°
The opposite side is the required height (x)
The adjacent side is the distance between the cat and the tree = 20 ft
Therefore, we can use the <u>tan function</u>
<u>This is done as follows:</u>
which is 9 ft approximated to the nearest ft
Hope this helps :)
Answer:
bro use the dang fromula
Step-by-step explanation:
L*W=A divided by 2
L’oréal ,maybelline, milani, elf, and NYX
Given:
Container in the shape of two rectangular prism.
To find:
The volume of the container.
Solution:
The clear image of the container is attached below.
<u>Larger rectangular prism:</u>
Volume = length × width × height
= 8 × 5 × 10
= 400
Volume of larger rectangular prism = 400 in³
<u>Smaller rectangular prism:</u>
Volume = length × width × height
= 4 × 4 × 5
= 80
Volume of smaller rectangular prism = 80 in³
Volume of container = Volume of larger prism + Volume of smaller prism
= 400 in³ + 80 in³
= 480 in³
The volume of the container is 480 in³.