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nataly862011 [7]
2 years ago
4

Look at the figure below: Triangle ABC is a right triangle with angle ABC equal to 90 degrees. The length of AC is 5 units, and

the length of AB is 4 units. D is a point above C. Triangle ADC is a right triangle with angle DAC equal to 90 degrees and DC parallel to AB. What is the length, in units, of segment CD?

Mathematics
1 answer:
Sav [38]2 years ago
6 0

Answer:

<h2>CD = 4 units</h2>

Step-by-step explanation:

Check the sketch of the description of the diagram in the figure below. The figure forms a rectangular shaped figure which was divided into two triangle using the diagonal line AC.

According to the figure AB is known to be parallel to CD i.e AB//CD. <u><em>Parallel sides are equal sides</em></u>. Since AB = 4 units then CD will also be equal to 4 units.

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2 trifles cost £ 7 How much will 6 trifles cost ?
irina [24]

Answer:

it will cost 28$ or whatever that symbol is

Step-by-step explanation:

8 0
2 years ago
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Two window washers start at the heights shown. (A: 21 ft high rising 8 in per second. The other is 50 feet high descending 11inc
babunello [35]

For this case, the first thing we are going to do is write the generic equation of motion for the vertical axis.

We have then:

h = \frac {1} {2} gt ^ 2 + vo * t + h0

Where,

  • <em>g: acceleration of gravity </em>
  • <em>vo: initial speed </em>
  • <em>h0: initial height </em>

For the first body:

h1 = \frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21

For the second body:

h2 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50

By the time both bodies have the same height we have:

h1 = h2\\

\frac {1} {2} gt ^ 2 + \frac {8} {12} * t + 21 = \frac {1} {2} gt ^ 2 - \frac {11} {12} * t + 50

Rewriting we have:

\frac {8} {12} * t + 21 = - \frac {11} {12} * t + 50

\frac {8} {12} * t + \frac {11} {12} * t = 50 - 21

\frac {19} {12} * t = 29

Clearing time:

t = 29 (\frac {12} {19})\\t = 18.31s

Answer:

 it takes 18.31s for the two window washers to reach the same height

6 0
2 years ago
Read 2 more answers
A car rental firm has the following charges for a certain type of car: $25 per day with 100 free miles included, $0.15 per mile
Eddi Din [679]

y = 25 + 0.15x is the equation for relating the cost y to the number of miles x that you drive the car

<em><u>Solution:</u></em>

Let "y" be the total cost of car rental

Let "x" be the number of miles you drive the car for more than 100 miles

<em><u>A car rental firm has the following charges for a certain type of car:</u></em>

$25 per day with 100 free miles included, $0.15 per mile for more than 100 miles

<em><u>Suppose you want to rent a car for one day, and you know you'll use it for more than 100 miles</u></em>

Therefore,

Car is rented for one day

You will use it for more than 100 miles

Therefore, equation is framed as:

Total cost = $ 25 + 0.15(number of hours)

Total\ Cost = 25 + 0.15x\\\\y = 25 + 0.15x

Thus the equation for relating the cost y to the number of miles x that you drive the car

7 0
2 years ago
Emily's family loves to work together in the garden. They have a slight preference for flowers, as 60percent of their plants are
DaniilM [7]

Answer:

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Step-by-step explanation:

We are given the following in the question:

Percentage of flowers = 60%

Percentage of vegetable = 40%

Number of plants in garden = 50

Number of vegetables in garden =

40\% \times \text{Number of plant}\\\\= \dfrac{40}{100}\times 50\\\\= 20

Number of flowers in garden =

60\% \times \text{Number of plant}\\\\= \dfrac{60}{100}\times 50\\\\= 30

Thus, there are 20 vegetable plants in garden.

6 0
2 years ago
In a sale, normal prices are reduced by 20%. Andrew bought a saddle for his horse in the sale. The sale price of the saddle was
pshichka [43]
The formula for this is: (sale price) / (1 - percentage)
Percentage have to be in decimal form, so divide percentage by 100 to get the decimal form.

220/(1-.20) = $275

The original price was $275. 
8 0
2 years ago
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