1=51
2=34
3= 95 (i think)
4=38
Answer:
No, the absolute value of a number is different from the opposite.
Step-by-step explanation:
For example, the absolute value of 4 is 4.
l4l = 4
But the opposite of 4 is -4.
Absolute value is ALWAYS positive, but the opposite of a positive number is a negative number.
To solve this problem you must apply the proccedure shown below:
1. You must apply the following formula:
yo=-(Voy)t+gt²/2
2. You have that:
Voy=VoxSin(30°)
Voy=(12 m/s)(Sin(30°))
Voy=6 m/s
t=5.6 s
g=9.8 m/s²
2. When you susbtitute these values into the formula, you obtain:
yo=-(6 m/s)(5.6 s)+(9.8 m/s^2)(5.6 s)²/2
yo=120.06 m
Therefore, the answer is: 120.06 m
Answer:
7 1/17
Step-by-step explanation:
A figure can be helpful.
The inscribed semicircle has its center at the midpoint of th base. It is tangent to the side of the isosceles triangle, so a radius makes a 90° angle there.
The long side of the isosceles triangle can be found from the Pythagorean theorem to be ...
BC² = BD² +CD²
BC² = 8² +15² = 289
BC = √289 = 17
The radius mentioned (DE) creates right triangles that are similar to ∆BCD. In particular, we have ...
(long side)/(hypotenuse) = DE/BD = CD/BC
DE = BD·CD/BC = 8·15/17
DE = 7 1/17 ≈ 7.059