Acceleration is simplified by assuming it is the constant -g
a=-g we integrate this with respect to time to get v...
v=-gt+C where C is the initial velocity in this case 14ft/s so
v=-gt+14 integrate again to get the height function
h=(-gt^2)/2 +14t +C we are not given an initial height so C is 0
h(t)=14t-gt^2/2 letting g=32 and neatening up a bit...
h(t)=14t-16t^2
2/3* 3 is 2 so the answer is x=2
Answer:
x = 30°.
Step-by-step explanation:
The dashes on the three lines indicate that the three lines are of equal lengths. The smaller triangle made out of the three lines (the one with two vertices on the circumference of the circle and one at the center of the circle) is an isosceles triangle. All three of the triangle's interior angles are 60° since it is isosceles.
The line (the one with arrows on its ends) touches the circle at only one point. That line is a tangent to the circle. That line is perpendicular to the segment that connects the center of the circle to the point of tangency. The angle between the two will be 90°.
The largest triangle includes three angles:
- The angle with the center of the circle as its vertice: 60°;
- The right angle due to the tangent to the circle: 90°;
- The angle x°.
What is the value of x?
The three interior angles of a triangle add up to 180°. As a result,
60° + 90° + x° = 180°
x = 180 - 90 - 60 = 30.
Answer:
Step-by-step explanation:
- Number of dimes = d, each d = 10 c
- Number of quarters = q, each q = 25 c
- Total = $2 = 200 c
<u>Equations according the given:</u>
<u>Solve for q by substitution:</u>
- 10(q + 6) + 25q = 200
- 10q + 60 + 25q = 200
- 35q = 140
- q = 140/35
- q = 4
<u>Find the value of d:</u>
Nathaniel has 10 dimes and 4 quarters
Answer:
12.5g for 1 cake, 150g for 12 cakes
Step-by-step explanation:
Because you need 150g for 12 cakes so 1 cake will take:
150 / 12 = 12.5g
So, You need 12.5g for 1 cake
Hope this help :3
