Answer:
Step-by-step explanation:
<u>Given data set: </u>
- 5, 14, 20, 23, 25, 29, 40, 44, 64
It is already in ascending order.
<u>As per data the 5-number summary is:</u>
- Minimum = 5
- First quartile = (14 + 20)/2 = 17, the median of the lower half
- Median = 25, the middle number as the set comprises of 9 numbers
- Third quartile = (40 + 44)/2 = 42, the median of the upper half
- Maximum = 64
Answer:
Bl^2+4Bl*Fh
Step-by-step explanation:
I'm not quite certain what "draw a net" means here. But for part b, we are doing the formula. The bottom part is a square(assumingly so take this with a grain of salt), thus making the base equal to 3*3 cm or 9 cm^2. The triangular faces are each 3*2.24 cm or 6.72 cm^2. We then multiply this by 4 to get 26.88. Thus, the equation is Bl^2(Base length squared)+Bl*Fh(Face height, I forgot the official name sorry about that)*4 for part b.
There are many ways to do this depending on the property you have to use:
If you use the distributive property, you need to distribute 3/4 to -10 and 2/5. Distribute means you will multiply it so your resulting equation will be this:
Before you can add, you need to first make them like terms because you cannot add unlike fractions. Get the LCD and form your new equation:
Now you can just add them together to get:
and then simplify your fraction:
or -
The whole fraction becomes negative because when you divide integers and of them is negative, the final answer will be negative.
Answer: cos(Θ) = (√15) / 4
Explanation:
The question states:
1) sin(Θ) = 1/4
2) 0 < Θ < π / 2
3) find cos(Θ)
This is how you solve it.
1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).
2) From which you can find:
3) Replace sin(α) with 1/4
=>
=>
4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:
cos(Θ) =
.
And that is the answer.