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deff fn [24]
2 years ago
9

DBE is obtained by enlarging ABC. If the area of ABC is 3 square units, what is the area of DBE?

Mathematics
1 answer:
Dennis_Churaev [7]2 years ago
5 0
<span>In two similar triangles, like the one we see above, the ratio of their areas is the square of the ratio of their sides. 

Based on the graph, we see that BD is 3 times larger than BA. This means that the area of DBE will be 3</span>² times larger, or 9 times larger, than the area of ABC.

Area of ABC = 3 square units
Area of DBE = 3 * 9 = 27 square units
Answer is A. 
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In which interval is the radical function f of x is equal to the square root of the quantity x squared plus 2 times x minus 15 e
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Using function concepts, it is found that it is increasing on the interval:

(–∞, –5] ∪ [3, ∞)

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The function is given by:

f(x) = \sqrt{x^2 + 2x - 15}

The graph is given at the end of this question.

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  • In the graph, it can be seen that it is pointing upwards for x of -5 and less, or 3 and higher, thus, the interval is:

(–∞, –5] ∪ [3, ∞)

A similar problem is given at brainly.com/question/13539822

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1 year ago
A giraffe measures 17 feet tall . A gorilla mesures 63 inches tall. How many feet taller is the giraffe than the gorilla
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Answer:

11.75 feet

Step-by-step explanation:

17 times 12 = 204 inches

204 - 63 = 141 inches

141/12 = 11.75 feet

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A bee flies at 9 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 13 ​minutes, and then
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Answer: 576 feet

Step-by-step explanation:

You have to do a little subtracting and a little interpreting to get the answer. First you must assume that the bee travels in a straight line. This is math so we can assume this is true, although thousands would disagree.

Second you must assume that because it is loaded with nectar that it travels at a slower rate (not an unreasonable assumption).

Third you have to assume that the distance there is the same distance as coming back. Again this is math. We can make this assumption.

Find the travelling time.

The bee spends 12 minutes hunting down the nectar in the flowerbed. Since it was away from the hive for a total of 16 minutes, the travelling time is

16min - 12min = 4 min

Convert the Minutes to seconds.

1 minute = 60 seconds

4 minutes = 4*60 = 240 seconds.

Find the time each way.

The total time is 240 seconds, but it is not divided evenly.

Let the time there = t

Let the time back = 240 - t

The distances are the same.

r = 6 m/s

r1 = 4 m/s

t1 = t

t2 = 240 - t

dthere = dback

d = rate * time

6 m/s *t = 4 m/s (240 - t)      Remove the brackets on the right.

6 * t = 4*240 - 4t                  Combine the like terms on the right.

6t = 960 - 4t                         Add 4t to both sides

6t + 4t = 960 - 4t + 4t          Combine

10t = 960                              Divide both sides by 10

10t/10 = 960/10                    Do the division

t = 96                                    Time going to the flower bed

Find the distance

d = ?

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t = 96 second

d = r*t

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The table shows the estimated number of lines of code written by computer programmers per hour when x people are working.
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Answer:

Hence, the model that best represents the data is:

y=26.9x-1.3

Step-by-step explanation:

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We are asked to find which model best represents the data?

So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:

We are given 4 functions as:

A)

y = 47(1.191)^x

B)

y=34\times (1.204)^x

C)

y=26.9x-1.3

D)

y=27x-4

We make the table of these values at different values of x.

x                  A                 B                C               D

2              66.66          49.3            52.5           50

4             94.57            71.44           106.3         104  

6             134.14           103.57         160.1          158

8             190.27          150.14          213.9         212

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12           382.85          315.5           321.5          320.

Hence, the function that best represents the data is:

Option C.

y=26.9x-1.3

6 0
2 years ago
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konstantin123 [22]
1/8 * 8
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