Answer:
174 CM²
Step-by-step explanation:
First we split up the triangular prism into shapes we can better understand (2 triangles, and 2 rectangles)
We solve the area of the triangles by using the formula to the area of a triangle (B·H÷2) 8·6÷2=24
There are 2 triangles therefore we get 2*24 which is 48 CM²
Now we calculate the area of the rectangles (7·10=70, 8·7=56)
Finally we add up all the numbers (70+56+48=174 CM²)
Therefore the surface area of the triangular prism is 174 CM², respectively.
You are gonna use a^2 + b^2 = c^2 because the cities make a right triangle and you are trying to find the hypotenuse (c). C^2 ends up being 517 and the square root, your answer, is 22.7 miles
Answer:
C
Step-by-step explanation:
The surface area (A) of a sphere is calculated as
A = 4πr² ← r is the radius, here r = 12, hence
A = 4π × 12²
= 4π × 144 = 576π units² → C
Answer:
3) ½ chance
4) 60 times
Step-by-step explanation:
<h3><u><em>
3) Theoretically, if the spinner is spun 150 times</em></u></h3><h3><u><em>
how many times would you expect to get an</em></u></h3><h3><u><em>
even number?</em></u></h3>
<u><em></em></u>
There are 12 equal sections, getting an even numbers is a ½ chance. ( same as odd numbers)
The probability is ⁶⁄₁₂ or ½.
In addition, this is theoretical probabilty, it doesn't require experiments.
<h3><u><em>
4) Based on the experiment, if the spinner is</em></u></h3><h3><u><em>
spun 150 times, how many times would you</em></u></h3><h3><u><em>
expect to get an even number?</em></u></h3>
Getting a 2: ⁴⁄₆₀ or ¹⁄₁₅
Getting a 4: ³⁄₆₀ or ¹⁄₂₀
Getting a 6: ⁷⁄₆₀
Getting a 8: ³⁄₆₀ or ¹⁄₂₀
Getting a 10: ⁵⁄₆₀ or ¹⁄₁₂
Getting a 12: ²⁄₆₀ or ¹⁄₃₀
Chance of picking a even number using 60 tries:
⁴⁄₆₀ + ³⁄₆₀ + ⁷⁄₆₀ + ³⁄₆₀ + ⁵⁄₆₀ + ²⁄₆₀ = ⁴ ⁺ ³ ⁺ ⁷ ⁺ ³ ⁺ ⁵ ⁺ ²⁄₆₀ = ²⁴⁄₆₀ or ⅖
Picking a even number using 150 tries:
⅖ · 150 = 60 times
Answer:
5
Step-by-step explanation:
5 × <em>2</em> × 1/<em>2</em>
Reduce the numbers using the greatest common factor 2
Solution: 5
