A). The area of the shaded triangle is 64cm. This is because the formula for the area of a triangle is (b x h) / 2, and the base of this triangle is 16, and the height is 8. So, 16 x 8 is 128, and 128 / 2 = 64. The area is 64cm.
B). The area of each white triangle is 32cm because we can see that the two white triangles is equal to half of the shaded triangle, so we can take the base of the shaded triangle and divide it in two. Then we can use the formula for the area of a triangle and solve for the area: (b x h) / 2 = (8 x 8) / 2 = 32. The area of one of the white triangles is 32cm.
C). Since we have solved for the area of each of the triangles, we can add up all of these individual areas to get the area for the rectangle: White triangle + white triangle + shaded triangle = 32 + 32 + 64, which is equal to 128cm, the area of the rectangle.
Answer:
y = 43x − 25
Step-by-step explanation:
Evaluate the function at x=1:
f(x) = 12x³ + 3x² + x + 2
f(1) = 12 + 3 + 1 + 2
f(1) = 18
Find the slope of the tangent line at x=1:
f'(x) = 36x² + 6x + 1
f'(1) = 36 + 6 + 1
f'(1) = 43
Point-slope form:
y − y₀ = m (x − x₀)
y − 18 = 43 (x − 1)
Convert to slope-intercept form:
y − 18 = 43x − 43
y = 43x − 25
Graph:
desmos.com/calculator/giumpkkphr
4/ 6 or in simplest, 2/3. I know this bc there's only 4 numbers greater than 2. there for me the fraction would be 4/6 the six for the sides and the four for the number of aides greater than two. :)))
Answer:
On the way up, 1.8 seconds and on the way down 4.1 seconds.
Step-by-step explanation:
Use the motion under gravity equation s = ut + 0.5gt^2 where u = initial velocity, s = the height, t = time and g = acceleration due to gravity ( 32 fts-2).
So 120 = 95t + 0.5(-32)t^2
-16t^2 + 95t - 120 = 0
Solving this using the quadratic formula:
t = [-95 +/- √(95^2 - 4 * -16*-120)] / -32
t = 1.823, 4.1148.
The first value refers to the upward journey and the second to the downward journey.
Penelope eats 4 chocolates per day, because in one day, 20 chocolates are in the box. Then, after 2 more days, 8 chocolates are eaten. That means, if she eats an even amount of chocolates, she eats 4 chocolates per day. To check this pattern, on the fourth day, there are 8 chocolates left. 12 - 8 = 4, and the pattern would continue. On the fifth day, 4 chocolates would be left, and on the sixth day, 0 chocolates would be left.
