Answer:
Step-by-step explanation:
A
The marble is red. There are 6 red marbles out of ten. So the answer is
6/10 = 0.60
B
Red: 1 3 5
Blue: 1 3
So there are 5 ways that you can draw an odd number. The problem is that they are not evenly distributed.
Red: 1/2 * 3/6 = 1/4 = 0.25
Blue: 1/2 * 2/4 = 0.25
Red + blue = 1/4 + 1/4 = 1/2
You could have gotten 1/2 by taking 5/10 but that won't always work.
C
Answer:
10.5 : 12 : 13.5
Step-by-step explanation:
7:8:9
We need to get 8 to 12
12/8 = 3/2
We need to multiply each number by 3/2
7 * 3/2:8* 3/2 :9*3/2
21/2 : 12 : 27/2
10.5 : 12 : 13.5
9514 1404 393
Answer:
4. height: 5√3 cm; area: 25√3 cm²
5. 30√2 ft ≈ 42.43 ft
Step-by-step explanation:
4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...
height = (√3)/2 × (10 cm) = 5√3 cm
The area is given by the formula ...
A = 1/2bh
A = 1/2(10 cm)(5√3 cm) = 25√3 cm²
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5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...
(30 ft)√2 ≈ 42.43 ft
__
The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.
d = √(30² +30²) = √1800 ≈ 42.43 . . . feet
