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stepladder [879]
3 years ago
10

Two amounts of money are in the ratio 8:3 if the second amount is 4.05,what is the value if the first amount?​

Mathematics
1 answer:
jonny [76]3 years ago
3 0

Answer: 10.75 currency units

Step-by-step explanation:

The amounts of money are in the ration 8:3 which means that for every 3 units of the second amount, there are 8 units of the first.

Use direct proportion to solve:

8      :      3

x      ;       4.03

Cross multiply to get:

3x = 32.24

x = 32.24 / 3

x = 10.75 currency units

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Reptile [31]

Answer:

  • B from A: about 29°
  • A from B: about 209°

Step-by-step explanation:

A bearing is measured clockwise from north. To do this measurement, we need to extend the line beteen A and B and extend the North-pointing line so they cross.* A protractor or other measuring tool is then used to measure the angle between the lines.

__

In the attached, we have found the angle between these lines to be about 29°. This is the angle between north and B, as seen from A.

  29° = bearing of B from A

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As seen from B, the angle is 180° more than the one of B from A. The bearing of A from B is ...

  180° +29° = 209° . . . . . bearing of A from B

_____

* The angle measurement can be made between any set of lines that are coincident with or parallel to the north line and the line between A and B. In the attached, we attempted to maximize accuracy by using the lines on the figure, rather than creating parallel lines for the purpose of the measurement.

On a figure such as this, it is very difficult to get accuracy to even 0.1 degrees. For example, the geometry program that we used says the slope of the AB line is tangent(60.58°), so the bearing using that information is about 29.42°, not the 29.29° the same program reports as the measurement of the angle.

We don't have access to your original figure, and we can't account for any distortions that may have occurred in the copying and pasting of the image. Straight dilation will not change the angle, but most image reproduction processes have different scale factors in different directions, which will affect the angle measurement. YMMV

5 0
2 years ago
I need help people what is 215÷ 9
Dominik [7]

215/9 = 23.888

or

23 with a remainder of 8

I hope I helped


6 0
3 years ago
Read 2 more answers
The area of a parallelogram is 125 square inches and the height of the parallelogram is 10 inches. What is the lenght of the bas
Tasya [4]
12.5 inches is the answer
5 0
3 years ago
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A livestock pen is built in the shape of a rectangle that is 2 times as long as it is wide. The perimeter is 30 feet. If the mat
shutvik [7]

Answer:

$57.5 is the total cost to build the pen.

Step-by-step explanation:

We are given the following in the question:

A livestock pen is built in the shape of a rectangle.

The length of rectangle is two times the width.

Let l be the length of rectangle and w be the width of rectangle. Thus, we can write

l = 2w

Perimeter = 30 feet

\text{Perimeter of rectangle} = 30\\2\times (l\times w) = 30

Putting values,

2(2w + w) = 30\\6w = 30\\w = 5\\l = 2w = 10

The length of rectangle is 10 feet and width of rectangle is 5 feet.

If the material used to build the pen is $ 1.75 per foot for the longer sides and $ 2.25 per foot for the shorter sides

Cost of building =

=2\times(\text{Cost of length}\times \text{Length} + \text{Cost of width}\times \text{Width})\\=2\times(1.75\times 10 + 2.25\times 5)\\=57.5

Thus, $57.5 is the total cost to build the pen.

7 0
3 years ago
Find the percent of increase from 40 gallons to 89 gallons. Round to the nearest tenth of a percent if necessary.
fredd [130]

Solution

- 89 gallons contains 40 gallons twice such that:

89=40+40+9

- This means that we can find at least 200% of 40 gallons in 89 gallons. This gives us what to expect.

- To get the percentage we are looking for, we should use the formula:

\frac{\text{new}}{\text{old}}\times100\text{ \%}

New, in this case, is 89 gallons, Old is 40 gallons.

- Thus, we can calculate the percentage as follows:

\begin{gathered} \frac{89}{40}\times100 \\ =2.225\times100 \\ =222.5\text{ \%} \end{gathered}

Thus, the answer is 222.5%

8 0
1 year ago
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