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:
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Step-by-step explanation:
4 is greater than 3
sqrt15 is greater than sqrt6
So 4+sqrt15 must be greater than 3+sqrt6
Answer:
Ligh blue
Step-by-step explanation:
we have
where
c---------> is the total cost of going to the carnival
t---------> is the number of 
tickets purchased
we know that
<u>the domain of the function is the interva</u>l---------------> [0,∞)
Because the number of tickets can not be negative
<u>The range of the function is the interval</u>-------------> [10,∞)
Because the total cost can not be negative
using a graph tool
see the attached figure
The answer in the attached figure
Answer:
y = 1/3x + 5
Step-by-step explanation:
Slope intercept form is y = mx + b
m is the slope
b is the y intercept
plug your number in
y = 1/3x + 5
