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!
Probability of an egg coming out of the boiling process with a cracked shell:
There would be 14 female and 7 male, so the total number of students is 21.
Answer:
Number of cookies sold by the Yummy Company = 32.
Step-by-step explanation:
Let the number of cookies sold by the yummy company be x.
Then the number of pies sold by The Chipper Bakery is 3/4 x.
When they have 16, more we have:
Number sold by the Yummy company is x + 16 and the number sold by the Bakery is 5/6 (x + 16)
So x + 3/4x + 2(16) = x + 16 + 5/6(x + 16)
= 7/4 x + 32 = 11/6 x + 16 + 80/6
7/4 x - 11/6x = 16 + 80/6 - 32
-1/12 x = -2 2/3
x = -8/3 * -12
x = 32.
Answer:
Step-by-step explanation:
Given
Midpoint is 
Endpoints are 
and 
Mid point of any two point is given by
and 
So,
Also
Therefore
