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3 years ago

Compare the given dimensions of four triangles. Which triangle is possible to construct?

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

5 0

6 8 and 9 since when adding 2 sides together they are always equal to the third side

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At 3pm, the length of the shadow of a thin vertical pole standing on level ground is the same as the height of the pole. A while

aliya0001 [1]

Answer: The height of the pole is 175.97 ( approx )

Step-by-step explanation:

Let the height of the pole is x cm,

Also, let the angle of elevation of the sun to the pole at 3 pm is $\theta$

Thus, by the question,

$tan\theta = \frac{\text{ The height of the pole}}{\text{ The height of the shadow}}$

$\implies tan\theta = \frac{x}{x}$ ( at 3pm the height of shadow = height of the pole)

$\implies tan\theta = 1$

$\implies \theta = 45^{\circ}$

Again, according to the question,

When the angle of elevation is $(\theta - 12^{\circ})$ ,

The height of shadow = x + 95,

$\implies tan(45-12)^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}=\frac{x}{x+95}$

$\implies tan 33^{\circ}x + 95\times tan33^{\circ}=x$

$\implies tan 33^{\circ}x - x = - 95\times tan33^{\circ}$

$\implies -0.3505924068 x = - 61.6937213538$

$x=175.969930202\approx 175.97\text{ cm}$

4 0

3 years ago

Point Q is the centroid of △ABC. QE = _____

pychu [463]

That’s the answer to your question.

7 0

3 years ago

There were 17 students reading a book. Eight students have finished. How many students are still reading the book?

ziro4ka [17]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Construct a sample (with at least two different values in the set) of 4 measurements whose mean, median, and mode are equal. If

KiRa [710]

Answer:

The first set 4 , 6 , 6 , 8

The second set 2 , 6 , 6 , 10

Step-by-step explanation:

Mean is the average of the values in a set. This can be found by summing all the numbers and dividing by the total number. The median is the middle number when the values are listed in order of increasing size. The mode is the number(s) that appear the most often in the set.

The first set 4 , 6 , 6 , 8

mean = (4 + 6 + 6 + 8 )/4 = 6

median = (6+6)/2 = 6

Mode = 6

The second set 2 , 6 , 6 , 10

mean = (2 + 6 + 6 + 10)/4 = 6

median = (6+6)/2 = 6

Mode = 6

3 0

3 years ago

list the next nine multiples of each number Find the common multiples. Multiples of 4: 4, Multiples of 7:7, Common multiples: Mu

Alenkinab [10]

3 : 3,6,9,12,15,18,21,24,27,30

4 : 4,8,12,16,20,24,28,32,36

7: 7,14,21,28,35,42,49,56,63

9: 9,18,27,36,45,54,63,72,81

6 0

3 years ago

Read 2 more answers