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Anna71 [15]
3 years ago
10

Archimedes knew that at 8 am the sunlight reaches the ground at an angle if 43 degrees. The rock besides him is 7 meters tall. H

ow far from the rock is Archimedes.
Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0

Answer:

Distance between Archimedes and the rock = 7.51 m ≅

Step-by-step explanation:

The sunlight makes an angle of depression of 43 degrees

Hence angle between the rock and the sunlight rays is = 90-43=47 degrees

Distance between Archimedes and the rock = Tan 47 = X/7

X = 7 tan 47 = 7.506580970172 = 7.51m ≅

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galina1969 [7]

Answer:

The shortest sides is 3x-10

Step-by-step explanation:

This is because if you do the algebra which is 4x+3+2x+8+3x-10=136, x=15. Now that you have 15 you plug it into each sides x value. First, 4x+3= 4*15+3=63

Second, 2x+8=30+8=38

Lastly, 3x-10=45-10=35

So, as you can see here 35 is the lowest value which means the side (3x-10) is the shortest.

3 0
3 years ago
How many students can sit around a cluster of 7 square table? The tables in a classroom have square tops. Four students can comf
Sveta_85 [38]

Answer:

16 students can sit around a cluster of 7 square table.

Step-by-step explanation:

Consider the provided information.

We need to find how many students can sit around a cluster of 7 square table.

The tables in a classroom have square tops.

Four students can comfortably sit at each table with ample working space.

If we put the tables together in cluster it will look as shown in figure.

From the pattern we can observe that:

Number of square table in each cluster   Total number of students

                     1                                                                 4

                     2                                                                6

                     3                                                                8

                     4                                                                10

                     5                                                                12

                     6                                                                14

                     7                                                                16

Hence, 16 students can sit around a cluster of 7 square table.

8 0
3 years ago
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N76 [4]

Answer:

C (-2,1)

Step-by-step explanation:

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(2) y = -9x - 17

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y = -2(-2) - 3

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Answer:

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I hope this helps!

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The steps needed to solve the given equation is required.

Adding the opposite value of the constant to both sides.

Divide both sides by the coefficient of the variable.

The solution to the equation is  

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This is done by adding the opposite value of the constant to both sides.

Here  is the constant so we add  to both sides.

Now, we divide both sides by the coefficient of the variable.

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2 years ago
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