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Radda [10]
3 years ago
5

The elevation of city A is 60 feet above sea level; the elevation of city C is 12 feet above sea level. The elevation of city D

is 1 over 2 of the elevation of city C. Part A: Write an expression to represent the elevation, in feet, of city D. (5 points) Part B: Solve the expression and explain why the answer is negative or positive. (5 points)
Mathematics
2 answers:
Likurg_2 [28]3 years ago
3 0

A) 1/2*12 = 6 ft above sea level

B) Because City D is 1/2 of 6, it cannot be negative because we are not multiplying anything by a negative number.

beks73 [17]3 years ago
3 0

Answer:

Part A: \dfrac{1}{2}\times 12\text{ feet}

Part B: 6 feet above sea level and positive

Step-by-step explanation:

The elevation of city A is 60 feet above sea level.

The elevation of city C is 12 feet above sea level.

The elevation of city D is \dfrac{1}{2} of the elevation of city C.

Part A: Expression which shows Elevation of city D in feet above sea level.

\text{Elevation of city D}=\dfrac{1}{2}\times \text{Elevation of city C}

\text{Elevation of city D}=\dfrac{1}{2}\times 12

Part B: Simplify the expression of part A

\text{Elevation of city D}=\dfrac{1}{2}\times 12=6\text{ feet}

The elevation of city D is 6 feet above sea level.

It would be positive because above sea level height is positive and below sea level takes negative.

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tino4ka555 [31]

Answer:

Total number of coins Nancy and bill have = 6x - 5

Step-by-step explanation:

Nancy and bill collect coins. Nancy has x coins. Bill has 5 coins fewer than five times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and bill have . Simplify your answer .

Let

Number of Nancy's coins = x

Number of Bill's coins = 5x - 5

Total number of coins Nancy and bill have = Number of Nancy's coins + Number of Bill's coins

= x + (5x - 5)

= x + 5x - 5

= 6x - 5

Total number of coins Nancy and bill have = 6x - 5

6 0
3 years ago
Identify the center and the radius of a circle that has a diameter with endpoints at (−5, 9) and (3, 5)
marusya05 [52]

Check the picture below, so the circle looks more or less like that one.

well, the center of it is simply the Midpoint of those two points, and its radius is simply half-the-distance between them.

~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 3 -5}{2}~~~ ,~~~ \cfrac{ 5 + 9}{2} \right)\implies \left( \cfrac{-2}{2}~~,~~\cfrac{14}{2} \right)\implies \stackrel{center}{(-1~~,~~7)} \\\\[-0.35em] ~\dotfill

~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-5}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{diameter}{d}=\sqrt{[3 - (-5)]^2 + [5 - 9]^2}\implies d=\sqrt{(3+5)^2+(-4)^2} \\\\\\ d=\sqrt{8^2+16}\implies d=\sqrt{80}\implies d=4\sqrt{5}~\hfill \stackrel{\textit{half the diameter}}{\cfrac{4\sqrt{5}}{2}\implies \underset{radius}{2\sqrt{5}}}

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3 years ago
A right triangle has a height of 12 and a width of 5. How long is the diagonal?
Dafna1 [17]
Using Pythagoras:

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√169= 13
7 0
4 years ago
Read 2 more answers
Can someone explain this
ycow [4]

Answer:

Step-by-step explanation:

To find measures of angles m and n

The triangle to the left has three sides of equal length.

This means that it will also have three angles of equal measure.

The internal angles of a triangle sum to 180°

So the internal angles of the left triangle are 180/3 = 60°

The top right angle is made up of one of the 60° angles and angle n

60 + n = 90

n = 30°

Again the internal angles of a triangle sum to 180°, so the right triangle

m + n + 90 = 180

m = 180 - 90 - 30

m  = 60°

or we could realize that the top and bottom horizontal lines are parallel because the vertical line on the right makes right angles to both of them.

Knowing that they are parallel, we also know that angle m and the top right 60° angle of the left triangle are opposite internal angles of a line intersecting parallel lines and must be identical angles, therefore

m = 60°

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3 years ago
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Over [174]
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3 years ago
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