A room is 5m by 3m and has a height of 3.5m. Find the distance from a comer point on the floor to the opposite comer of the ceiling.

Answers

Answer 1

Answer:

Answer:

Approximately 6.8m

Step-by-step explanation:

We can picture this problem by drawing a rectangular prism with a width of 5m, a depth of 3m, and a height of 3.5m. To find the length from one corner of the floor to the opposite corner of the floor, we can use the pythagorean theorem and plug in the width and depth of the room for a and b:

$5^(2)+3^(2)=c^(2)$

And now we can solve for c...

$34 = c^(2)$

$√(34)=\sqrt{c^(2)}$

c = 5.831m

Now that we have the length from corner to corner across the floor, we can use the pythagorean theorem again, this time using the length from corner to corner across the floor we just derived and the height of the room:

$5.831^(2) + 3.5^(2)=c^(2)$

And now we can solve for c again...

$46.25=c^(2)\n√(46.25)=√(c^2)$

c = 6.8m

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If two adults and three children go to the movies, it costs $31.50. If one adult and five children go to the movies, it costs $35.00. What is the cost of one adult movie ticket? $5.50 $6.50 $7.50

Answers

The adult ticket would cost $7.50

Answer:

The kids is 5.50 adult is 7..50

Step-by-step explanation:

we create an equation

2x + 3y =31.50

and

1x + 5y=35.00

1x is just x so we subtract 5y from both sides

x= 35.00-5y

fill x with 35.00-5y

2(35.00 - 5y) + 3y = 31.50

70.00 - 10y +3y = 31.50

-10y + 3y = -38.50

-7y=-38.50

-7y/-7= -38.50/-7

y=5.50

Miguel’s family drove 357 miles on their weekend trip. Their car’s average gas mileage was 25.5 miles per gallon. How many gallons of gas did they use? Round your answer to the nearest tenth of a gallon if necessary.1.4 gallons
14 gallons
91 gallons
140 gallons

Answers

14 gallons, or b.
I took the test

Answer:

The Answer is B.14

Step-by-step explanation: You get this answer by dividing 357 by 25.5 and you come out with 14 (problem) 357/25.5

Sally is 10 years old. Her mother is five times older. How old Sally's mom?

Answers

Sally is 10 years old. Her mother is five times older. If this is put into an equation: x = (age of sally)(5)
x = (10)(5)
x = 50 years
Sally's mom is 50 years old.

What is the nth term to: 0,6,14,24,36,50

Answers

0, 6, 14, 24, 36, 50, 66, 84,104

you add 9 times for each one

This is the sequence; +6,+8,+10,+12,+14

Now to find the next terms you must add 2 only to the sequence;

+6, +8, +10, +12, +14, +16,

Then add the +16 to the term and you get: (50 + 16) =66

so 66 is the 7th term and to get the 9nth you must do same steps;

+6,+8,+10,+12,+14,+16,+18,+20:

66+18 = 84 (8th term)

84 +20= 104 (9nth term)

So your final terms are;

0, 6, 14, 24, 36, 50, 66, 84,104

-2 = p - 1
What does p equal?

Answers

-2=p-1
+1 +1
_________
-1=p

So the answer is -1

-2 = p - 1
flip the equation
p - 1 = -2
add 1 to both sides
p - 1 + 1 = -2 + 1
p = -1

answer is p = -1

How do you use numerical expressions to solve real-world problems

Answers

Numerical expressions is an algebraic expressions or mathematical expressions.
In solving real-word problems, it is very important to know how to translate word problems into numerical expressions in order to solve the problem.
We cannot find what is asked in the problem if we will translate it into numerical expressions.
In translating, we will be able to make an equation and can now start to solve for a variable.
We will use these numerical expressions to make an equation which leads us in solving the variable. And this variable can be the answer or it can lead us to the answer to the problem.

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