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Pie
2 years ago
13

Jonah was standing at an elevation somewhere between Negative 1 and one-half and Negative 2 and one-third meters with regards to

sea level. Which number could be Jonah's elevation with regards to sea level?
Mathematics
1 answer:
Agata [3.3K]2 years ago
7 0

Options :

A number line going from negative 3 to positive 3 in increments of 1.

1 and StartFraction 5 Over 6 EndFraction meters

Negative 2 and StartFraction 3 Over 6 EndFraction meters

2 and StartFraction 3 Over 6 EndFraction meters

Negative 1 and StartFraction 5 Over 6 EndFraction meters

Answer:

Negative 1 and StartFraction 5 Over 6 EndFraction meters

Step-by-step explanation:

Jonah's position range :

Between - 1 1/2 meters and - 2 1/3 meters with respect to sea level

With regards to sea level and the range of position given ; Jonah's position will be below sea level, that is Jonah's position cannot be a positive location on the number line, thus all options with positive values are incorrect.

Hence Jonah's position will be any number on a number line located in between :

-2 1/3 and - 1 1/2

That is

-2 1/3 ≤ Jonah's location ≤ - 1 1/2

-2 1/2 ( this is less than - 2 1/3) (incorrect)

-1 5/6 lies in between the given range and is thus a possible position.

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which of the diagram below represents the contrapositive of the statement if it is an equilateral triangle,then it is an isoscel
GalinKa [24]

Answer:Contrapositive of a Statement , if A then B, states that, if not B ,then not A.

In the statement given:

A= A triangle is Equilateral

B=then the triangle is Isosceles.

So,→→Contrapositive of the statement, If A, then B will be ,not B,then Not A

Not B= The triangle is not Isosceles

Then ,Not A= the triangle is not equilateral.

→→Figure A, matches with "Contrapositive of the statement “if it is an equilateral triangle, then it is an isosceles triangle”

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4 0
2 years ago
What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4? (–13,
Lana71 [14]

I added a screenshot of the complete question.

<u><em>Answer:</em></u>

(-7, -1)

<u><em>Explanation:</em></u>

<u>The formulas given to calculated the x and y coordinates are as follows:</u>

x = (\frac{m}{m+n})(x_{2}-x_{1}) + x_{1}\\\\y = (\frac{m}{m+n})(y_{2}-y_{1}) + y_{1}

<u>Let's define the variables used:</u>

(x₁ , y₁) are the coordinates of the first point while (x₂ , y₂) are the coordinates of the second point.

<u>We are given that the segment is directed from J to K, therefore:</u>

First point is J ..........> (x₁ , y₁) is (-15, -5)

Second point is K ....> (x₂ , y₂) is (25, 15)

m and n defined the portion of the partitioned segment (JE : EK). It is given that this ratio is 1:4. <u>Therefore:</u>

m = 1 and n = 4

<u>Finally, let's substitute with these variables in the equations as follows:</u>

x = (\frac{1}{1+4})(25-(-15)) + (-15) = -7\\\\y = (\frac{1}{1+4})(15-(-5)) + (-5) = -1

Based on the above, the coordinates of point E are (-7, -1)

Hope this helps :)

8 0
2 years ago
Read 2 more answers
A rectangular swimming pool measures 14 feet by 30 feet. The pool is surrounded on all four sides by a path that is 3 feet wide.
V125BC [204]

Check the picture below.

since the rectangular pool is a 14x30, the top and bottom part of that rectangle in the picture are just a 3x30 piece and the sides are 3x8, so how many ft² is that?

\bf 2(3\cdot 30)+2(3\cdot 8)\implies 180+48\implies 228~ft^2~\hfill \stackrel{\textit{total cost}}{228\cdot 20\implies \boxed{456}}

3 0
2 years ago
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Before a renovation, a movie theater had 111 seats. after the renovation, the theater has 144 seats. what is the approximate per
Blababa [14]
Change in number of seats = 144 - 111 = 33

percentage increase = 33/111 x 100 = 29.8% (nearest tenths)
3 0
2 years ago
On a road map, the locations A, B and C are collinear. Location C divides the road from location A to B, such that AC:CB = 1:2.
koban [17]

Answer:

C. (-1,-2)

Step-by-step explanation:

Since C internally divides AB in the ratio AC/CB = 1/2 = m/n where m = 1 and n = 2, we use the formula for internal division.

Let A = (x₁, y₁) = (5, 16), B = (x₂, y₂) and C = (x, y) = (3, 10)

So x = (mx₂ + nx₁)/(m + n)

y = (my₂ + ny₁)/(m + n)

Substituting the values of the coordinates, we have

x = (mx₂ + nx₁)/(m + n)

3 = (1 × x₂ + 2 × 5)/(2 + 1)

3 = (x₂ + 10)/3

multiplying through by 3, we have

9 = x₂ + 10

x₂ = 9 - 10

x₂ = -1

y = (my₂ + ny₁)/(m + n)

10 = (1 × y₂ + 2 × 16)/(2 + 1)

10 = (x₂ + 32)/3

multiplying through by 3, we have

30 = y₂ + 32

y₂ = 30 - 32

y₂ = -2

So, the coordinates of B are (-1, -2)

3 0
2 years ago
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