MATHEMATICS HIGH SCHOOL

The dimensions of a rectangle box are consecutive integers. If the box has volume of 13,800 cubic centimeters, what are its dimensions?

Answers

Answer 1
Answer:
If the dimensions were all the same number ... the box was a cube ...
then each dimension would be  (the cube root of 13,800) cm.

         ∛13,800 = 23.986... (rounded)

so the place to look is around 23 .

(22 x 23 x 24)  =  12,144     <==  too small; go up one integer

(23 x 24 x 25)  =  13,800     <==  Eureka !    

The consecutive integers are  23,  24,  and  25 .

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What is 58,000,000,000 estimated as the product of a single digit and a power of 10?A. 5 x 10^9 B. 5 x 10^10 C. 6 x 10^9 D. 6 x 10^10

Can any one tell me how to do this problem?

Answers

(1/2)/2=3/x
we can cross multiply, aka multiply both sides by 2x
(1/2)x=2*3
(1/2)x=6
times 2/1 both sides
x=12

A small university has six identical parking lots that hold a total of 1110 cars. Write an equation to find the number of cars each parking lot can hold.

Answers

Each parking lot can hold 185 cars.

What is division?

Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.

Let's denote the number of cars each parking lot can hold as x.

Since there are six identicalparking lots, the total number of cars they can hold is 6x.

According to the problem, the total number of cars that can be parked in these six lots is 1110.

So we can write:

6x = 1110

This equation relates the number of cars each parkinglot can hold (x) to the total number of cars that can be parked in all six lots (1110).

To solve for x, we can divide both sides of the equation by 6:

x = 185

Therefore, the required number is 185 cars.

To learn more about the division;

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Because they are all identical, they share the same amount of cars. So the equation would be 6x=1110

The tallest snowman everrecorded---really a snow woman named Olympia—was built by residents of Bethel,
Maine, and surrounding towns. Her body and head together made up her total
record height of 122ft. The body was 2ft longer than 14 times the height of the
head. What were the separate heights of Olympia’s head and body?

Answers

B=14H+2
B+H=122 so 14H+2+H=122 or 15H=120 or H=8 ft.
The head was 8 ft and the body 114 ft (do the difference 122-8).

Which image shows a reflection?

Answers

Answer: A, because it is the closest one out of all the choices to show a reflection.
Reasons: B is just a translation, just moved down a few spots. And C has been moved 90 degrees clockwise.

Answer:

A

Step-by-step explanation:

We can see that:

- Shape B has just been translated down (moving down a couple of squares)

- Shape C has been rotated 90° clockwise

Megan draws a triangle on coordinate axes. She reflects the triangle across the y-axis and then translates it 5 units to the right. Which statement is true about the triangle formed from these transformations?A. It will be larger than the original triangle
B. It will be smaller than the original triangle
C. It will be congruent to the original triangle
D. It will be a different shape then the original triangle

Answers

Answer C: It will be congruent to the original triangle. Reflections and translations do not affect the size of a shape, only it’s position and the way it is viewed.

Final answer:

The triangle formed from reflecting the original triangle across the y-axis and then translating it 5 units to the right will be congruent to the original triangle.

Explanation:

The triangle formed from reflecting the original triangle across the y-axis and then translating it 5 units to the right will be congruent to the original triangle.



When a figure is reflected across the y-axis, its shape remains the same, but its orientation is flipped. Then, by translating the reflected triangle 5 units to the right, we are simply shifting it horizontally without changing its size or shape.



Therefore, the statement that is true about the triangle formed from these transformations is C. It will be congruent to the original triangle.

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A line goes through{2,-3)and (-1, 0).slope =
Equation in point -slope form or equation in slope-intercept form

Answers

(2,-3)(-1,0)
slope(m) = (y2 - y1) / (x2 - x1)
slope(m) = (0 - (-3) / (-1 - 2) = 3/-3 = -1

y = mx + b
slope(m) = -1
use either of ur points (2,-3)...x = 2 and y = -3
now we sub and find b, the y int
-3 = -1(2) + b
-3 = -2 + b
-3 + 2 = b
- 1 = b

so ur equation is : y = - x - 1 (slope intercept form)
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