Answer:
85
Step-by-step explanation:
Use the pythagorean theorem!
(think that is how you spell it )
Pythagorean theorem: a² + b² = c²
a and b are the numbers that you have in this example, c is the side you need!
75² + 40² = c²
5,625 + 1,600 = c²
7,225 = c²
(the square root and square cancel each other out)
85 = c
c = 85
Answer:
the answer is B
Step-by-step explanation
Cant really explain but next time put the topic for the subject so people will understand.
Answer:
67.5 ft
Step-by-step Explanation:
==>Given:
∆MAB and ∆MNP, such that:
AB is parallel to NP
MN and MP are transversal
MN = 71.5 ft
MP = 97.5 ft
AN = 22ft
MA = MP - AN = 71.5 - 22 = 49.5 ft
MB = x
==>Required:
Value of x
==>Solution:
From the figure given, since AB is parallel to NP, and MN and MP are transversal, thus:
<MAB is congruent to <MNP
<MBA is congruent to <MPN
This implies that ∆MAB is similar to ∆MNP
Therefore, the ratio of their corresponding sides would be the same, and also proportional.
Thus,
MA/MN = MB/MP
49.5/71.5 = x/97.5
=>Cross multiply to solve for x
49.5 × 97.5 = x × 71.5
4,826.25 = 71.5x
=>Divide both sides by 71.5
4,826.25/71.5 = x
67.5 = x
x = 67.5 ft
First simplify the square roots.
√25 is 5 and √16 is 4
so the equation is 3x5 + 4x4
15+16
31
Answer:
$20,086.35
Step-by-step explanation:
To calculate the maturity value by compound interest, we will use the formula
where,
A = Maturity amount
P = Principal amount = $10,000
r = rate of interest = 4.65% = 0.0465
n = number of compounding periods = 365
t = time in years = 15 years
Now substituting the values,
= 
= 10,000(2.008635)
= 20086.353758 ≈ $20,086.35
The final value of your investment would be $20,086.35.
