Pa, Pb,Pc,Ya, Yb,Yc,Ta, Tb, Tc
9 total outcomes choosing one balloon
Answer:
circle = 5, triangle = 2, square = 6
Step-by-step explanation:
If we look at the first and second equations, we see that circle + triangle + square = 13. Because triangle + square = 8, we can substitute this into the first equation, therefore, circle + 8 = 13 and circle = 5. Next, looking at the third equation, we see that circle + triangle = 7 and since circle = 5 we know that 5 + triangle = 7, therefore, triangle = 2. Finally, we can substitute triangle = 2 into the second equation which gives us 2 + square = 8, therefore, square = 6.
Answer:
Try 6,400
Step-by-step explanation:
Find the volume of one congruent bookshelf then you'd be doing "4 x 10 x 8 x 10" (not another 8 bc they are talking about the length of the same side) you should get the answer 3,200 then multiply by 2 bc they're 2 bookshelves . You should get 6,400 I'm not 100% sure tho
Answer:
The slope of AB is undefined; the slope of CD is 0; The lines are perpendicular.
Step-by-step explanation:
Line AB would form a vertical line. Slope is Δy/Δx. To go from 3 to 7 (the y-coordinates) you need to go up 4 units. So we would then have Δy/Δx = 4/Δx. To go from -5 to -5 (the x-coordinates) we have to go left or right 0 units. So, Δy/Δx = 4/Δx = 4/0. Anything divided by 0 is undefined. <em>Remember: vertical lines always have an undefined slope.</em>
Line CD would form a horizontal line. To go from 9 to 9 (the y-coordinates) you need to go up or down 0 units. So, Δy/Δx = 0/Δx. To go from 1 to -10 (the x-coordinates) you need to go down 11 units. So Δy/Δx = 0/Δx = 0/1. 0 divided by anything is 0. <em>Remember: horizontal lines always have a slope of 0.</em>
If you picture a horizontal line and a vertical line intersecting, they would both form a right angle when they intersect. By definition, this would make both lines perpendicular.
The height of the building is 3.27 m
Since the question described free-fall under gravity, we will be using the equation for fall under gravity.
Using v² = u² - 2gh where u = initial velocity of toy = 0 m/s (since it is falls from rest), v = final velocity of toy as it hits the ground = 8 m/s, g = acceleration due to gravity = 9.8 m/s² and h = distance the ball falls = height of building
So, making h subject of the formula, we have
h = -(v² - u²)/2g
Substituting the values of the variables into the equation, we have
h = -(v² - u²)/2g
h = -[(8 m/s)² - (0 m/s)²)/(2 × 9.8 m/s²)
h = -(64 m²/s² - 0 m²/s²)/(2 × 9.8 m/s²)
h = -64 m²/s²/19.6 m/s²
h = -3.265 m
h ≅ -3.27 m
The value is negative since we take the top of the building as 0 m and downward direction as negative.
So, the height of the building is 3.27 m
Learn more about free fall here:
brainly.com/question/23180622
