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Finger [1]
3 years ago
8

Give an example of a function from the set of integers to the set of positive integers that is g

Mathematics
1 answer:
BaLLatris [955]3 years ago
3 0

The function ...

... g = |x| + 1

will map any integer x into the set of positive integers g.

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A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same
Ahat [919]
A rectangular prism is a cuboid so volume of cuboid is base area x height which is 5x5x12=300
volume of pyramid is 1/3 x base area x height = 5x5x6x1/3=50 thus volume outside pyramid and inside cuboid is 300-50=250
3 0
3 years ago
Read 2 more answers
7. The points P(2, -3), Q(3, -2) and R(8, z) are
Hatshy [7]

Answer:

z = 3

Step-by-step explanation:

Since the points are collinear then the slopes between the points are equal.

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = P (2, - 3) and (x₂, y₂ ) = Q (3, - 2)

m = \frac{-2+3}{3-2} = 1

Repeat with

(x₁, y₁ ) = Q (3, - 2) and (x₂, y₂ ) = R (8, z )

m = \frac{z+2}{8-3} = \frac{z+2}{5} , then

\frac{z+2}{5} = 1 ( multiply both sides by 5 )

z + 2 = 5 ( subtract 2 from both sides )

z = 3

4 0
3 years ago
A room has the area of 60 square meters and perimeter of 32 meters .What are the length and width of the room?
ad-work [718]
I am sorry but i don't no
4 0
3 years ago
Help please! Do not answer if you are not going to help me
kirza4 [7]

9514 1404 393

Answer:

  12. (x, D, E, F) = (8, 38°, 75°, 67°)

  13. (x, P, Q, R) = (13, 126°, 30°, 24°)

Step-by-step explanation:

The sum of angles in a triangle is 180°. We choose to write the equations assuming all measures are degrees.

12. (5x -2) +(9x +3) +(11x -21) = 180

  25x = 200 . . . . . . . add 20, simplify

  x = 8 . . . . . . . . . divide by 25

Then the angle measures are ...

  ∠D = 5(8) -2 = 38°

  ∠E = 9(8) +3 = 75°

  ∠F = 11(8) -21 = 67°

__

13. (10x -4) +(4x -22) +(x +11) = 180

  15x = 195 . . . . . . . . . . add 15, simplify

  x = 13 . . . . . . . . . divide by 15

Then the angle measures are ...

  ∠P = 10(13) -4 = 126°

  ∠Q = 4(13) -22 = 30°

  ∠R = 13 +11 = 24°

4 0
3 years ago
Given an equilateral triangle that has an area of 1959 cm2. What is the length of its sides?
Nina [5.8K]
Equilateral
equi means equal
lateral means sides

all sides are equal
triangle has 3 sides

perimiter=side1+side2+side3
side1=side2=side3


area=1/2 times base times height
base=side
draw a line down the middle of te tiangle so you get 2 right triangles side by side
1/2base is one leg
base is hypotonuse
height is unknown
equilateral means that it is a 30-60-90 triangle with  hypotonuse equal to 2x, height=x√3, bottom is x
1/2 times base times height=1959
1/2 times x times x√3=1959
multiply both sides by 2
(x^2)√3=3918
divide both sides by √3
x^2=3918/√3
square root both sides
x=47.5611
side=hypotonuse=2x
2x=2*47.5611
side=95.12222


legnth of each side is 2\sqrt{ \frac{3918}{ \sqrt{3} } }cm or about 95.12222 cm
7 0
3 years ago
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