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Arada [10]
3 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:
Vinil7 [7]3 years ago
8 0

Answer: 12.5

Step-by-step explanation:

the scale drawing is : 1cm..................80 m

if the width is              ?       ..................1000m

the width on the scale drawing it will be 1000/80=12.5

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What are the coordinates of the point on the directed line segment from (3, 3) to (7,−5) that partitions the segment into a rati
Annette [7]

Answer:

The coordinates of the point is (5.5, -2)

Step-by-step explanation:

Okay, what we want to do here is to get the point that divides the line that joins the points (3,3) to (7,-5) in the ratio 5 to 3

Generally, given the ratio a:b and we want to divide the line joining the points (x1,y1) and (x2,y2) in that ratio, we use the condensed formula below;

Let’s call the point dividing the line in the given ratio z.

The coordinates of Z is;

{(bx1 + ax2)/(a+b), (by1 + ay2)/(a+b)}

In this question (x1,y1) = (3,3)

While (x2,y2) = (7,-5)

while a:b = 5:3

Substituting these values into the coordinate equation for point z, we have ;

{((3(3) + 5(7))/(5+3), ((3)(3) + 5(-5))/(5+3)}

= {44/8 , -16/8} = {5.5, -2}

4 0
3 years ago
Heather is trying to decide what classes to take next year. She must take one of each and can choose from 3 math classes, 2 scie
Lostsunrise [7]
I think the answer is 12 cause you have to add
4 0
3 years ago
Read 2 more answers
a parabolic lamp is facing due east. The bulb (located at the focus) is 8 inches away from the vertex (located at the origin). t
True [87]

9514 1404 393

Answer:

  3 1/8 inches

Step-by-step explanation:

For focus-vertex distance p, the equation of the parabola can be written ...

  y = x^2/(4p)

Here, we have p=8. We want to find the value of y when x=10 (the radius of the dish). That is ...

  y = (10^2)/(4·8) = 100/32 = 3 1/8

The dish is 3 1/8 inches deep.

7 0
3 years ago
Which answer is a solution of the equation?
Nuetrik [128]

2x + y = 5

Put the coordinates of the points to the equation and check it:

A. 5 - not make sense

B. (1, 2) - x = 1, y = 2

2(1) + 2 = 2 + 2 = 4 ≠ 5  NOT

C. (2, -1) - x = 2, y = -1

2(2) + (-1) = 4 - 1 = 2 ≠ 5    NOT

D. (3, -1) - x = 3, y = -1

2(3) + (-1) = 6 - 1 = 5    YES

<h3>Answer: D. (3, -1).</h3>
8 0
3 years ago
Find three consecutive whose sum 237
Nina [5.8K]

Answer:

78 79 80

Step-by-step explanation:

Let the smallest number = x

Let the next number = x + 1

Let the largest number = x + 2

x + x + 1 + x + 2 = 237      Add together to get the equation

3x + 3 = 237                     Subtract 3 from both sides.

3x + 3 - 3 = 237 - 3          Combine the right

3x = 234                           Divide by 3

x = 234/3

x = 78

The smallest number is 78

The next number 79

The highest number is 80

8 0
3 years ago
Read 2 more answers
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