Answer:
22.5 cm^2
Step-by-step explanation:
Amount of paper is going to be measured in area, so we want the surface area of the cone. Since it is a cub it doesn't have a base, so we don't need to count it.
Area of the cone without the base, or what is called the lateral area is pi*r*s where r is the radius and s is the slant height. and of course radius is d/2 where d is the diameter. so let's plug it in. We know diameter is 6 and slant height is 7.5
SA = pi * r * s
SA = pi * d/2 * s
SA = pi * 6/2 * 7.5
SA = 22.5 cm^2
So you will need 22.5 square centimeters of paper.
Answer:
The original distance between Dallas and Houston is 240 miles.
Step-by-step explanation:
The scale on a map is 1 cm = 50 miles.
That means, 1 cm length in the drawing is equivalent to 50 miles original distance.
We have to find the actual distance between Dallas and Houston, which are 4.8 cm distant on the map.
So, 4.8 cm length in the drawing will be equivalent to (50 × 4.8) = 240 miles.
Therefore, the original distance between Dallas and Houston is 240 miles. (Answer)
Answer:
B. 30
Step-by-step explanation:
The given angles are vertical angles because they are opposite angles created by the same two lines. This means that their value is equal. Let's set up an equation.
85 = 3x - 5
We need to solve for x.
First, combine like terms by adding 5 to both sides.
90 = 3x
Now we want to isolate x by dividing both sides by 3.
x = 30
This is your answer.
Let's check our work by plugging x back into our equation.
85 = 3x - 5
85 = 3(30) - 5
85 = 90 - 5
85 = 85
Your answer is correct.
Hope this helps!
Answer:
the first graph but idk
Step-by-step explanation:
Answer:
as posted: 0.18182
more likely: 2.00
Step-by-step explanation:
z = (x -μ)/σ
... = (90 -76)/77 = 14/77 = 2/11
z ≈ 0.18182
_____
We know that cutting and pasting often results in numbers being unintentionally repeated, so your 77 may be intended to be 7. In that case, the z-score is
... z = (90 -76)/7 = 14/7
z = 2
