Answer:
8 seconds
Step-by-step explanation:
Given :
h(t) = -16t2 + initial height
Initial height = 1024 feets
By the time it hits the ground, h(t) = 0
Equation becomes :
0 = - 16t² + 1024
Solve for t
-16t² = 1024
t² = 1024 / -16
t² = 64
t = √64
t = 8
Hence, it will take 8 seconds
Answer:
x=-6, y=0
Step-by-step explanation:
Use the 3x-9y=-18 equation and add 9y to both sides to have 3x on its own on the left side. Then, divide by 3 on both sides. Then you'll have x=-6+3y. Plus this back into the 5x+4y=-30 equation and you'll get 5(-6+3y)+4y=-30. Use the distributive property and you'll get -30+15y+4y=-30. Simplify and get -30+19y=-30, then add 30 to both sides and you'll get 19y=0. Divide by 19 on both sides and you'll get y=0. Now that we know y=0, plug that back into the 5x+4y=-30 equation, and you'll get 5x+4(0)=-30. Simplify and you'll get 5x=-30. Divide by 5 on both sides and you'll get x=-6.
Answer:
See below ~
Step-by-step explanation:
Formula for area of a triangle :
<u><em>Area (triangle) = 1/2 × base × height</em></u>
<u><em /></u>
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Solving :
<u>Triangle 1 (Top Left)</u>
⇒ Area = 1/2 × 11 × 3
⇒ Area = 33/2
⇒ Area = 16.5 in²
<u>Triangle 2 (Top Right)</u>
⇒ Area = 1/2 × 8 × 7.2
⇒ Area = 4 × 7.2
⇒ Area = 28.8 cm²
<u>Triangle 3 (Bottom Left)</u>
⇒ Area = 1/2 × (5.5 + 5) × 10.4
⇒ Area = 10.5 × 10.4
⇒ Area = 109.2 m²
<u>Triangle 4 (Bottom Right)</u>
⇒ Area = 1/2 × (2 + 7) × 5.5
⇒ Area = 9 × 2.75
⇒ Area = 24.75 in²
Answer: 1.) 5 cups of yellow paint.
2.) 15 cups of yellow paint to 3 cups of blue paint.
3.) 1:5 is the proportional relationship.
4.) 5 is the constant of proportionality, it represents the yellow cups of paint.
Step-by-step explanation: i think number 4 might be wrong not fully sure but i hope this helps!
