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Svetlanka [38]
2 years ago
13

A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual width of the lake is 1,000 m, what is the width of the lake

on the scale drawing? Explain or show your reasoning.
Mathematics
1 answer:
Andreas93 [3]2 years ago
7 0

Answer: 12.5 cm

Step-by-step explanation:

Equation would be:

1:80

?:1000

So you'll just have the cross multiply the equation above to find ? ( scale drawing lake). It'll be 1000*1/80 which will be 12.5 cm.

                               

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You work forty hours a week at a furniture store. You receive a 1,200 dollar weekly salary, plus a 4.1% commision on sales over
Pachacha [2.7K]
If you call x the total value of the sales, the sale over 12,000 will be: g(x) = 12,000 - x.

And the commission is 4.1% of that = 0.041 * (12,000 - x) = 0.041 * g(x)

So, if  f(x) = 0.041x, to calculate the commission you first have to calculate g(x) = 12,000 - x, and the f(g(x))=0.041[12,000 - x].

Which leads you to the solution for the commission as [f o g] (x) = f (g(x)) = 0.041 (12,000 - x).

Answer: [ f o g] (x)
4 0
2 years ago
True or false the ordered pair of x-intercept has a zero for the x-value
Artyom0805 [142]
X-intercept has coordinates (x,0)
Y-intercept has coordinates (0,y)
So, the statement "<span> The ordered pair of x-intercept has a zero for the x-value" is false.
</span><span> The ordered pair of x-intercept has a zero for the y-value.</span>
6 0
2 years ago
which of the following represents a chord, but not a diameter, of the circle? A. TS, B. SN, C.TR, D.MN
Georgia [21]

Answer: A diameter goes straight across the circle and passes through the center point (point M). A radius stops at the center point, making the line go halfway across the circle (basically half the diameter). A chord goes across the circle, but does not go through the center point. Therefore, the answer is C, because it does not go through the center point.  

5 0
2 years ago
What is the length of segment BD? Round your answer to the nearest hundredth. triangles ABC and ABD in which the triangles share
hichkok12 [17]

Answer:

BD = 4.99 units

Step-by-step explanation:

Consider the triangle ABD only.

The angle formed is 31 degrees which occurs between two sides that are AD and BC.

We know that for a right angled triangle, the angle can always be taken as an angle between hypotenuse and base.

Thus, The perpendicular sides is then 3 units, where base is BD and Hypotenuse is AD

Using formula for tanθ

tanθ = Perpendicular/Base

tan31 = 3/BD

0.601 = 3/BD

BD = 3/0.601

BD = 4.99 units

6 0
2 years ago
In the diagram, WZ=StartRoot 26 EndRoot. On a coordinate plane, parallelogram W X Y Z is shown. Point W is at (negative 2, 4), p
geniusboy [140]

Answer: Last option.

Step-by-step explanation:

Observe the diagram.

The perimeter of the parallelogram will be the sum of the lenghts of its sides. Then:

P=WX+XY+YZ+WZ

You know the lenght of the side WZ. This is:

WZ=\sqrt{26}\ units

Notice that:

XY=WZ=\sqrt{26}\ units

Now, you must find the lenghts of the sides WX and YZ (WX=YZ)

Observe that WZ goes from 2 to -2, therefore its lenght is:

WX=YZ=2-(-2)=4\ units

Therefore, substituting values, you get that the perimeter of the paralellogram is:

P=(4+ \sqrt{26}+4+\sqrt{26})\ units\\\\P=2\sqrt{26} +8\ units

3 0
2 years ago
Read 2 more answers
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