MATHEMATICS HIGH SCHOOL

The sum of two consecutive integers is at least 46. What is the least possible pair of integers?. A. 21 and 23. B. 23 and 24. C. 22 and 23. D. 24 and 25

Answers

Answer 1

Answer: A) 21+23 = 44
B) 23+24 = 47
C) 22+23 = 45
D) 24+25 = 49

The closest answer to the 46 is answer c.
C. 22 and 23

Answer 2

Answer:

Answer:

the answer is 23 and 24

Step-by-step explanation:

I just did the middle school test and that was the correct answer.

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Find the volume of a cube whose diagonal measures 36√3 cm.

Answers

Answer:

$46656 cm^3$

Step-by-step explanation:

If a cubes diagonal measures you can solve for its sidelength by creating a triangle. Visualize the diagonal as the hypotenuse of our triangle inside the cube. Then, one of the legs would be the side of the cube itself, and the other leg would be the diagonal of the bottom side of the cube. Knowing this is a cube, we can call each side s. If each side is s, then the diagonal of the bottom face is $s√(2)$ ( this is a special triangle property, $45-45-90$ triangle.) Then we know our triangle is a right triangle, so we can use the Pythagorean theorem to solve for s.

$s^(2) + (s√(2) )^(2) = (36√(3))^2$

Solve this equation for s.

$s^(2) + 2s^(2) = 3888$

$3s^(2) = 3888$

$s^(2) = 1296$

$s = 36$

Since we now found the side length of the cube, we can find its volume by cubing the side length:

$s^3 = (36)^3 = 46656$ $cm^3$

you are facing east. you turn left, then left again, then about face, then right. which direction are you finally facing?

Answers

You will be facing south because, if you turn left then you are north then left again you are west then 180 degrees around you are back at East the go right you are south.

You are facing South because if you look at a map, and you are turning left, then right it's south

What is the area of the triangle when a=14 and c=50 what is b?

Answers

No answer is possible.
Without the picture ... or a detailed explanation ...
it's not possible to tell what 'b' is.

B is 116. The area of any triangle should equal 180. So you add 14 plus 50 to get 64 and then you subtract 180 minus 64 and get 116. Got it?

How many sides does a regular polygon have that has an angle of 20

Answers

We divide the total sum of the angles by 20
$(360)/(20)$ =18 sides

WRITE A COMPOUND INEQUALITY FOR EACH GRAPH PLEASEEE HELP DUE IN !) MINUTES!!!!!

Answers

The compound inequalities for each number line is 18: −1≤x≤4 19: −3<x≤2 20: x<0 or (1≤x≤3) 21: (−4<x≤−6) or (−3<x≤0) 22: (3≤x<1) or (6<x<7) 23: (−3≤x≤−4) or (0<x<2).

let's break down the compound inequalities for each situation step by step:

18:

−1≤x≤4 (closed on both ends)

The notation ≤ means "less than or equal to," so

−1≤x indicates that

x can be equal to or greater than -1.

Likewise,

x≤4 means that

x can be equal to or less than 4.

Combining both inequalities, we have

−1≤x≤4, indicating that

x can take any value between -1 and 4, including -1 and 4.

19:

−3<x≤2 (open on the left end, closed on the right end)

The notation < means "less than," so −3<x indicates that

x must be greater than -3 but not equal to -3.

x≤2 means that

x can be equal to or less than 2.

Combining both inequalities, we have

−3<x≤2, indicating that x can take any value greater than -3 and up to and including 2. It's open at -3 but closed at 2.

20: x<0 or (1≤x≤3) (open on the left end, closed on the right end, with a gap between 0 and 1)

x<0 indicates that x must be less than 0.

(1≤x≤3) indicates that x can be equal to or greater than 1 and equal to or less than 3.

Combining these two inequalities with "or," we have

x<0 or

1≤x≤3, indicating that x can be less than 0 or take any value between 1 and 3, including 1 and 3.

21:

(−4<x≤−6) or

(−3<x≤0) (open on both ends with a gap between -3 and -4)

(−4<x≤−6) indicates that x must be greater than -4 but not equal to -4, and it can be equal to or less than -6.

(−3<x≤0) indicates that x must be greater than -3 but not equal to -3, and it can be equal to or less than 0.

Combining these two inequalities with "or," we have

(−4<x≤−6) or

(−3<x≤0), indicating that

x can take any value greater than -4 and up to -6, or greater than -3 and up to 0.

22:

(3≤x<1) or

(6<x<7) (closed on the left end, open on the right end, with a gap between 1 and 6)

(3≤x<1) indicates that x can be equal to or greater than 3 and less than 1.

(6<x<7) indicates that x must be greater than 6 and less than 7.

Combining these two inequalities with "or," we have

(3≤x<1) or (6<x<7), indicating that x can take any value equal to or greater than 3 and less than 1, or greater than 6 and less than 7.

23:

(−3≤x≤−4) or

(0<x<2) (closed on the left end, open on the right end, with a gap between -4 and 0)

(−3≤x≤−4) indicates that x can be equal to or greater than -3 and equal to or less than -4.

(0<x<2) indicates that

x must be greater than 0 but less than 2.

Combining these two inequalities with "or," we have

(−3≤x≤−4) or

(0<x<2), indicating that x can take any value equal to or greater than -3 and equal to or less than -4, or greater than 0 and less than 2.

These compound inequalities describe the ranges of values for x in each given situation on the number line.

To know more about inequality:

brainly.com/question/32125218

#SPJ3

Answer:18-1 closed right 5

19-3 open right5

20 0 open left 1 3 closed right 1

21 -4 open left 2 -3 open right 3

22 3 close left 2 6 open right 1

23-3 open left 1 0 open right 2

Step-by-step explanation:

What option best describes the value of x (will give brainliest) look at photo

Answers

Answer:

I believe it would be the third option. x=20.

Step-by-step explanation:

the 2 over the x cancels out the square root over the 20.

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