3 thousands devided by 10= 3 hundreds= (300)
Answer:
<em>24, 48, 72, 96</em>
Step-by-step explanation:
<u>Least Common Multiple (LCM)</u>
It's the smallest positive number that is a multiple of two or more numbers. For example, let's find the LCM of 15 and 25:
Multiples of 15: 15,30,45,60,75,90,...
Multiples of 25: 25,50,75,100,...
Note 75 is a common multiple of both and is also the smallest possible.
Lin puts a snowflake sticker every 6 lockers and a snowman sticker every 8 lockers. To find the lockers where both stickers are places, we must find the LCM of 6 and 8:
6 = 2*3
8 = 2*2*2
Multiplying the common factors the maximum number of times it appears:
LCM = 2*2*2*3 = 24
Thus, every 24 lockers there are two stickers until Lin reaches the last 100th locker along the halfway.
The sequence of lockers is:
24, 48, 72, 96
Answer:
5.385 = 5.4
Step-by-step explanation:
Answer:
Hi there!
The correct answer is 95°
Step-by-step explanation:
Okay if you look at the picture, 95 degrees' supplementary angle is 85 degrees. A supplementary angle means it adds up to 180°. So that means the angle that is supplementary to 85 is 95. **Keep in mind since they did not tell that the sides are parallel you cannot assume that 95° and angle x° are vertical so this is the safest way to solve the problem**
<h3>
Answer: 18.8</h3>
========================================================
Explanation:
For now, let's focus on triangle AFG.
This is a right triangle with the following sides:
- FA = unknown horizontal leg = x
- FG = vertical leg = 6.1
- AG = hypotenuse = 11.2
We'll use the pythagorean theorem to solve for x.
a^2 + b^2 = c^2
(FA)^2 + (FG)^2 = (AG)^2
x^2 + (6.1)^2 = (11.2)^2
x^2 + 37.21 = 125.44
x^2 = 125.44 - 37.21
x^2 = 88.23
x = sqrt(88.23)
x = 9.39308 approximately
Side FA is roughly 9.39308 units long.
-----------
Let's say for a moment we don't know where point G is located, but we do know where points A, C, and E are located. We can determine G's location by determining the perpendicular bisectors for segments AE and EC, and then intersecting said perpendicular bisectors.
Put another way:
- FG is a perpendicular bisector for AE
- DG is a perpendicular bisector for EC
Because of the first bullet point, we know that AE is split into two equal pieces FA and FE, ie FA = FE.
We just found that FA = 9.39308 back in the last section, which means this is the length of FE as well.
Therefore,
AE = FA + FE
AE = 9.39308 + 9.39308
AE = 18.78616
AE = 18.8 when rounding to the nearest tenth, aka one decimal place.
