Answer:
12
Step-by-step explanation:
It is worthwhile memorizing the ratios of legs in a 30°–60°–90° triangle. Shortest to longest, the ratios are ...
1 : √3 : 2
Then the sides marked will have the ratio ...
6 : x = 1 : 2 = 6 : 12
x = 12
_____
You can also get there using trigonometry.
cos(60°) = 6/x
x = 60/cos(60° = 60/0.5
x = 12
Answer:

Step-by-step explanation:
Isosceles triangles will always tell you what you need to know. All angles are congruent, therefore all edges are congruent. ♂️
I am joyous to assist you at any time.
Answer: 14
<u>Step-by-step explanation:</u>
Consecutive even numbers would be {2, 4, 6, 8, 10, ...}
Let x represent the smallest number, then x + 2 is the middle number and x + 4 is the largest number.
1st number: x
2nd number: x + 2
3rd number: x + 4
1st number + 2nd number + 3rd number = Sum
(x) + (x + 2) + (x + 4) = 48
3x + 6 = 48
3x = 42
x = 14
1st number: x ⇒ x = 14
2nd number: x + 2 ⇒ 14 + 2 = 16
3rd number: x + 4 ⇒ 14 + 4 = 18
<u>Check:</u>
14 + 16 + 18 = 48 
Simple....
you have: (3.2*103)+(5.78*105)
You want to simplify it..but first remember your order of operations...
1.) Remove the parentheses-->>
(3.2*103)=329.6
and
(5.78*105)=606.9
Which leaves you with...
329.6+606.9=
=936.5
Thus, your answer.
Answer:
see explanation
Step-by-step explanation:
1
The cosine function in standard form is
y = acos(bx + c)
where a is the amplitude, period =
and
phase shift = - 
here b = 2 and c =
, thus
phase shift = -
= - 
2
the amplitude = | a |
which has a maximum of a and a minimum of - a
y = 4cosx ← has a maximum value of 4