5 + 7 = 12 silver balloons
12 x 3 = 36 bronze
12 + 36 + 5 = 53
Answer:
3/4 miles per minute
Step-by-step explanation:
To get speed in miles per minute, just divide distance/time
1/4 mile / 1/3 minute = 3/4 miles per minute
If you want miles per hour, you'll have to convert minutes to hours.
3/4 miles/minute * 60 minutes/hour = 45 miles/hour
First way
arcsin(1/4) means that 1/4 sin of the angle.
sin(α)=1/4
sin²α+cos²α=1
(1/4)²+cos²α=1
cos²α=1-1/16 =15/16
cosα=+/-(√15)/4
<span>Second way
</span>
sin(α)=1/4 =opposite leg/hipotenuse
cos(α)=adjacent leg/hypothenuse
adjacent leg =√(hypotenuse²- Opposite²)=√(16-1)=√15
cosα=+/-√15/4
For one value of sinα, possible 2 values of cosα.
Answer:
64 crates
Step-by-step explanation:
Smaller Cube Side Length = 2 1/2 feet, or, 2.5 feet
Larger Container (Cube) Side Length = 10 feet
We find volume of larger container and find volume of small crates. We divide the large volume by volume of each crate. This will give us number of crates we can fit.
Volume of Cube = x^3
Where x is the side length of the cube
Now,
Small Crate Volume = (2.5)^3 = 15.625 cubic feet
Large Container Volume = 10^3 = 1000 cubic feet
Number of crates that would fit = 1000/15.625 = 64
So, 64 crates will fit in the largest shipping container
4.5 / 2 = 2.25cm radius for the smaller circle
3.14 (pi) × 2.25² = 15.89625cm²
10.5 / 2 = 5.25cm radius for the larger circle
3.14 × 5.25² = 86.54625cm²
86.54625 - 15.89625 = <span>70.65cm</span>²
The answer is 70.7cm².