Please help i’m desperate smh
Answers
Answer: a) 2 miles
b) 4 miles
Step-by-step explanation:
There are two right angle triangles formed in the rectangle.
Taking 30 degrees as the reference angle, the length of the side walk, h represents the hypotenuse of the right angle triangle.
The width, w of the park represents the opposite side of the right angle triangle.
The length of the park represents the adjacent side of the right angle triangle.
a) to determine the width of the park w, we would apply
the tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 30 = w/2√3
1/√3 = w/2√3
w = 1/√3 × 2√3
w = 2
b) to determine the the length of the side walk h, we would apply
the Cosine trigonometric ratio.
Cos θ, = adjacent side/hypotenuse. Therefore,
Cos 30 = 2√3/h
√3/2 = 2√3/h
h = 2√3 × 2/√3
h = 4
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Let f (x)= x + 18 − 3 x − 15 Choose the correct interval form for the DOMAIN of f and then enter the values for the endpoint(s) in the appropriate answer blanks). Enter DNE in any unused blanks.
Answers
Answer:
nothing
Step-by-step explanation:
If you are translating entire triangle, then translating doesn't influence the area. It's just going to change where the triangle is located not its size
Answers
Answer:
20.4 years
Step-by-step explanation:
The future value formula is ...
FV = P(1 +r/n)^(nt)
where P is the principal invested (6000), n is the number of times per year compounding occurs (12), r is the interest rate (.045), and t is the number of years.
Perhaps you're interested in a future value of $15,000 (not 1500). Then we can find t from ...
15000 = 6000(1 +.045/12)^(12t)
2.5 = 1.00375^(12t) . . . . . divide by 6000
log(2.5) = 12t·log(1.00375) . . . . . take logarithms
log(2.5)/(12log(1.00375)) = t ≈ 20.4
It will take 20.4 years for the investment to reach $15,000.
Answers
Answer: Yes, Yukio is correct.
Step-by-step explanation:
Assuming that Triangle DEF and ABC have the same angles (they do because they are right-angled), we can take the length from the larger triangle (DEF) and divide it by the length of the smaller triangle (ABC).
Length of DEF = 6cm
Length of ABC = 2cm
= 6/2
= 3
Proves that scale of DEF to ABC is 3:1
Answers
Answer:
decimal format = 29.25
mixed number = 29 1/4
Improper fraction = 117/4
Step-by-step explanation:
Make the denominators equal after simplifying the denominators*. The denominators are currently 2 and 4. So you can just make your life easier by making the denominator of the first number a 4. Multiply both sides by 2.
1. Simplify
12*2+1 = 25/2
25/2*2/2 = 50/4
2. Simplify second number
16*4+3 = 67/4
3. Add the improper fractions
50/4 + 67/4 = 117/4
Total answer:
29.25 = decimal format
mixed number = 29 1/4
Improper fraction = 117/4
Terms:
*denominators - the bottom number of a fraction
Hope this helped,
Kavitha Banarjee
Answers
Answers
Answer:
Answer is 24288.
Step-by-step explanation:
Given that there are 18 senior and 22 junior partners.
To find:
Number of ways of selecting at least one junior partner to form a committee of 3 partners.
Solution:
At least junior 1 member means 3 case:
1. Exactly 1 junior member
2. Exactly 2 junior member
3. Exactly 3 junior member
Let us find number of ways for each case and then add them.
Case 1:
Exactly 1 junior member:
Number of ways to select 1 junior member out of 22: 22
Number of ways to select 2 senior members out of 18: 18 17
Total number of ways to select exactly 1 junior member in 3 member committee: 22 18
17 = 6732
Case 2:
Exactly 2 junior member:
Number of ways to select 2 junior members out of 22: 22 21
Number of ways to select 1 senior member out of 18: 18
Total number of ways to select exactly 2 junior members in 3 member committee: 22 21
18 = 8316
Case 3:
Exactly 3 junior member:
Number of ways to select 3 junior members out of 22: 22 21
20 = 9240
So, Total number of ways = 24288
Final answer:
The problem can be solved by finding the total number of ways to form a committee of three from all partners and the ways to form a committee solely from senior partners. Subtracting the number of all-senior committees from the total committees yields the number of committees that include at least one junior partner.
Explanation:
This problem is a combination problem dealing with probability and involves the use of the formula for combinations: C(n, k) = n! / [k!(n-k)!], where n is the total number of options, k is the number of options chosen, and '!' denotes a factorial.
The total number of ways to select 3 partners from the 40 (18 senior + 22 junior) is C(40, 3).
The only scenario where a junior partner is not present in the committee is when all three are senior partners. The number of ways to select 3 senior partners from the 18 available is C(18, 3).
So, to find the number of ways to form a committee with at least one junior partner, subtract the number of all-senior committees from the total number of committees. Therefore, the solution is C(40, 3) - C(18, 3).
Learn more about combinations here:
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