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butalik [34]
3 years ago
8

Help Please Homework Due tomorrow: 4. 3 + [5 - 2 ( 8 + 4)] + 6

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
3 0
The answer to the problem is -8.7
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A horse trot in a circle around it's trainer at the end of a 31 foot long rope. Find the area of the circle that is swept out. R
Mnenie [13.5K]
So, imagine the trainer is in the very middle of the circle and he is holding out a rope that's attached to the horse. The rope here from the trainer to the horse represents the radius of the circle. The horse trots around the trainer (middle point) in a circle.
The formula to find area of a circle is A = pi*r^2 (pi times r squared where r is radius)
We know that the radius of the "circle" here formed as the horse trots around the trainer is 31 (the 31 foot long rope). 
So let r = 31 & plug the value into the formula to find circle area.
A = pi*31^2 = 3019.07054
The area is therefore 3019.07 square feet. (rounded)

3 0
2 years ago
A video game requires at least 4 points to advance. Each solved puzzle is worth two points. Each solved riddle is worth 1 point.
Elina [12.6K]

Answer: it’s D

Step-by-step explanation: I just did it on edge

5 0
2 years ago
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A catapult launches a boulder with an upward velocity of 120 ft/s. The height of the boulder, h,
Vlad1618 [11]

Answer:

Reaches a maximum height of 235.00 feet in 3.75 seconds.

Step-by-step explanation:

The height of the boulder, h,  in feet after t seconds is given by the function is given by :

h=-16t^2+120t+10 .....(1)

For maximum height, put \dfrac{dh}{dt}=0

i.e.

\dfrac{d(-16t^2+120t+10)}{dt}=0\\\\-32t+120=0\\\\32t=120\\\\t=3.75\ s

Put t = 3.75 in equation (1). So,

h=-16(3.75)^2+120(3.75)+10\\\\h=235\ \text{feet}

So, the boulder's maximum height is 235 feets and it takes 3.75 s to reach to its maximum height.

3 0
2 years ago
Solve: 4-(9g-5)=-27 please help
8_murik_8 [283]

Answer:

-2

Step-by-step explanation:

9g-4-5=-27

9g-9=-27

Add 9 to both sides

9g=-18

g=-2

4 0
2 years ago
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Triangle ABC is equilateral. Find the height of BD
RideAnS [48]

Since ABC is equilateral, all 3 sides have equal length. side AC is 8 units since side BC is 8 units.

Line BD is placed in the middle, making D the midpoint of side AC.

knowing this information we can determine that the length of DC is 4 units (half of AC)

since triangle BDC is a right triangle, we can use the side lengths in the pythagorean theorem to find the length of BD

a²+b²=c² where a & b = legs of triangle , and c= hypotenuse (longest side)

we are given the hypotenuse and found one leg so we can plug our values into the equation to find the third

4² + b²= 8²

16 + b² = 64

b² = 48

b = \sqrt{48}

b= 4√3 or about 6.928 units

hope this helped

3 0
3 years ago
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