Answer:
The side s has a length of 4 and side q has a length of 4
⇒ F
Step-by-step explanation:
In the 30°-60°-90° triangle, there is a ratio between its sides
side opp (30°) : side opp (60°) : hypotenuse
1 : : 2
In the given triangle
∵ The side opposite to 30° is s
∵ The side opposite to 60° is q
∵ The hypotenuse is 8
→ Use the ratio above to find the lengths of s and q
side opp (30°) : side opp (60°) : hypotenuse
1 : : 2
s : q : 8
→ By using cross multiplication
∵ s × 2 = 1 × 8
∴ 2s = 8
→ Divide both sides by 2
∴ s = 4
∴ The length of s is 4
∵ q × 2 = × 8
∴ 2q = 8
→ Divide both sides by 2
∴ q = 4
∴ The length of q is 4
Answer:
116,280 different leadership structures are possible
Step-by-step explanation:
The order is important.
For example, a Committee of John, Elisa, Laura and Rose means that John is the chairperson, Elisa the vice-chairperson, Laura the secretary and Rose the treasurer. If we exchange John and Elisa, their roles are also exchanged. This means that we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
How many different leadership structures are possible
Permutations of 4 elements from a set of 20. So
116,280 different leadership structures are possible
After plugging in three numbers for x, its safe to say that the most logical answer would be the last one
<span>Because <span>t <span>is given in years and 1.08 <span>= <span>1 <span>+ <span>0.08, the annual percent increase
<span>is 8%.
To find the monthly percent increase that gives an 8% annual increase,
<span>use the fact that
t =
<span><span><span><span>
<span><span><span><span>and the properties of exponents to rewrite the
model in a form that reveals the monthly growth rate.</span></span></span>
</span></span></span></span></span></span></span></span></span></span></span></span></span></span>
A. The scientific notation for 50,000,000 is 5 x 10^7 (to the 7th power)
B. After squaring 50,000,000 you'll get <span>2500000000000000. In </span>scientific notation, this is 2.5 x 10^15 (to the 15th power).
C. I think what it's asking is how I solved part B... this could be wrong, double check it. I solved it by multiplying 50,000,000 x 50,000,000 and then converting the product into scientific notation.
Hope this helps, if you have more questions, message me or comment under this post!
