Triangle ABD and ADC are righttriangles so u can use the Pythagorean theorem/triples. the triples are 3/4/5 and 5/12/13. 12 is 4x3, and 15 is 5x3, so BD is 3x3, which is 9. AC is 13, as it is part of the Pythagorean’s triples
Answer:
9
Step-by-step explanation:
6/2(1+2)
6/2(3)
3(3)
9
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Answer:
A. $1500.00
Step-by-step explanation:
Assuming this is a simple interest savings account.
<u>Simple interest formula</u>
I = Prt
where:
- I = total interest
- P = principal amount
- r = interest rate (in decimal form)
- t = time (in years)
Given:
- I = $225
- r = 3% = 0.03
- t = 5 years
Substitute the given values into the formula and solve for P:
⇒ I = Prt
⇒ 225 = P(0.03 ×5)
⇒ 225 = P(0.15)
⇒ P = 225 ÷ 0.15
⇒ P = 1500
Therefore, Timothy started the account with $1500.00.
Answer:
tan theta = 2 sqrt(5) /15
Step-by-step explanation:
sin theta = opp / hypotenuse
sin theta = 2/7
We can use the Pythagorean theorem to find the length of the adjacent side
a^2 + b^2 = c^2
2^2 +adj^2 = 7^2
4 + adj^2 = 49
adj ^2 = 49-4
adj^2 = 45
Taking the square root of each side
adj = sqrt(45) = sqrt(9*5) =sqrt(9) sqrt(5) = 3 sqrt(5)
The tan theta = opp/ adj
tan theta = 2 / 3 sqrt(5)
Multiply by sqrt(5) / sqrt(5)
= 2 sqrt(5) / 3 *5
= 2 sqrt(5) /15
