Hi!
This is a fun one, as it delves into basic trigonometry.
We're going to use the Pythagorean theorem here, which says that for right triangles where "c" is the hypotenuse,
a² + b² = c²
We have to split this large triangle into two parts, both of which are right triangles. (This is why they drew a line in the middle to tell you that the larger triangle is composed of two right triangles.)
Let's do the one on the right first.
We know that the length of the hypotenuse is 10, and that the length of one of the legs is 6.5. If we plug this into our equation, we'll get the length of the other leg. I'm choosing "b" to be 6.5, but it really doesn't matter if you pick "a" or "b", so long as you reserve "c" for the hypotenuse (longest side).
a² + 6.5² = 10²
a² + 42.25 = 100
a² = 57.75
√a² = √57.75
a ≈ 7.6
Therefore, the length of DC is about 7.6.
Find the length of AD using the same method (7.5 is the hypotenuse "c", and 6.5 is one of the legs "a" or "b"). Then, once you have AD, add the lengths of AD and DC to get AC.
Have a great one!
Answer:
n=13
Step-by-step explanation:
3n-6=33
Add 6 to both sides
3n=39
Divide both sides by 3
n=13
Answer:
Step-by-step explanation:
price of tv and sales tax = 1.0688×$189 = $202.0032 ≅ $202.00
4 years = 3×365 days + 366 days = 1461 days
cost of electricity = 1461 days × $0.06/day = $87.66
lifetime cost = purchase price + electricity + repairs
= $202.00 + $87.66 + 2·$29
= $347.66
Answer:
she uses 72 gallons
Step-by-step explanation:
just do 144/2 and the answer is 72
if you wanna check your answer just do 72x2 and it equals 144
14+2(14)=42. this is the answer
