MATHEMATICS MIDDLE SCHOOL

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Picture has it all..
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Answers

Answer 1
Answer: tan(x) = 11/10
tan(x) = 1.1
      x = 48 degrees

Answer
C. 48°

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A sphere has a radius of 6 meters. A second sphere has a radius of 3 meters. What is the difference of the volumes of the spheres?

Answers

Answer:

791. 28 m^3\n

Step-by-step explanation:

Volume of sphere with 6 meter radius

= (4)/(3) \pi r^3\n= (4)/(3) (3.14) ( 6^3)\n= 904.32 m^3\n

Volume of sphere with 3 meter radius

= (4)/(3) \pi r^3\n= (4)/(3) (3.14) ( 3^3)\n= 113.04 m^3\n

Difference between the volume of two sphere

= (904 .32 m^3)- ( 113.04 m^3)\n= 791.28 m^3\n
∆volume = 4/3 *pi * (R^3 -r^3 )
= 4/3 *pi*((6)^3 -(3)^3)
= 252*pi
= 791.68 m^3

A sports arena covers 710,430 square feet of ground. A newspaper reported that the arena covers about 700,000 square feet of ground. To what place value was the number rounded?

Answers

Answer:

Required place value is hundred thousand place.      

Step-by-step explanation:

Given : A sports arena covers 710,430 square feet of ground. A newspaper reported that the arena covers about 700,000 square feet of ground.

To find : To what place value was the number rounded?

Solution :

Rule of rounding number :

1) When the rounded place value after digit is less than 5 then the number remain same.

2) If the rounded place value after digit is 5 or greater than 5 then the number round by 1.

710,430 is rounded to 700,000.

It is clear that number is rounded to the hundred thousand place.

As before 7 there is 1<5 so rest rounded to zero and 7 remain same.

Therefore, Required place value is hundred thousand place.
710, 430 ft² was rounded to the hundreds place: 700,000 ft²

the school bus stops at randys house at 8:15 AM randy arrived at the bus stop a quarter after 8 did rany mis the bus

Answers

No, he made it right on time because a quarter past 8:00 is 8:15. 
No. He Got There As Soon As The Bus Came. But I'm alittle confused to because you said the bus went to Randy's house at 8:15 . Then you said randy went to the BUS STOP At a quarter past eight. So basically if you're thinking like me he did miss the bus because he wasn't at his house. But just basic stuff. He DID NOT miss the bus.

450 centimeters to 675 centimeters

Answers

i think the answer is 225 centimeters
225 by subtracting it

Does a rectangular prism with more surface area than the other also have more volume

Answers

Yes; If it has more surface area, it is bigger, which means that there is more volume total.
Yes, because there is more surface area therefore it can hold more volume

What is the solution of the system? Use elimination. -12x - y = 6

17x + y = 4

Answers

A) -12x - y = 6

B)  17x + y = 4   Adding both equations:
5x = 10
x = 2
Since x =2 
17x + y = 4

17 * 2 + y = 4
y = 4 -34
y = -30
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