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Lera25 [3.4K]
3 years ago
11

A tree 4.7 m tall casts a shadow 8.2 m long. Calculate the angle of elevation of the sun.

Mathematics
1 answer:
EleoNora [17]3 years ago
3 0

Answer:

9.45

Step-by-step explanation:

A^2 + B^2 = C^2

4.7^2 + 8.2^2 = C^2

22.09 + 67.24 = C^2

89.33 = C^2

Square Root It

C = 9.45

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the number of even integers between 1 and 103 is the same is the same as the number of odd integers between 4 and x. what is the
Ksju [112]
# of numbers between 1 & 103: 102
Half of that would be even numbers. So, 51 even numbers. 
Between 4 and x, there are 102 numbers. 4+102=106. 4+106=x. 106=x
7 0
3 years ago
Please explain the answer​
Phantasy [73]

Answer:

  yes

Step-by-step explanation:

The side lengths satisfy the Pythagorean theorem, so the triangle is a right triangle.

  7.5² +10² = 12.5²

  56.25 +100 = 156.25

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You may recognize that the ratios of side lengths are ...

  7.5 : 10 : 12.5 = 3 : 4 : 5

A 3-4-5 triangle is a well-known right triangle, as this is the smallest set of integers that satisfy the Pythagorean theorem. They also happen to be consecutive integers, so form an arithmetic sequence. Any arithmetic sequence that satisfies the Pythagorean theorem will have these ratios.

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If you're familiar with trigonometry, you know the law of cosines tells you ...

  c² = a² + b² - 2ab·cos(θ) . . . . where θ is the angle between sides a and b. This reduces to the Pythagorean theorem when θ=90°, which makes cos(θ)=0. If the sides do not satisfy the Pythagorean theorem, cos(θ)≠0 and the triangle is not a right triangle.

7 0
3 years ago
88511, 16351, ?, 10251 missing number in sequence
Mrac [35]

Step-by-step explanation:

this is really complicated and tricky.

to create the next number, you have to add the first 2 digits of the previous number, then subtract the 3rd from the 2nd digit, multiply the 3rd and the 4th digit, and finally divide the 4th digit by the 5th.

so,

8+8 = 16

8-5 = 3

5×1 = 5

1/1 = 1

giving 16351 as next number.

the missing number we get then

1+6 = 7

6-3 = 3

3×5 = 15

5/1 = 5

giving 73155 as the next (missing) number.

control :

7+3 = 10

3-1 = 2

1×5 = 5

5/5 = 1

gives us 10251 as next number - correct.

but then it will end

1+0 = 1

0-2 = -2 ???? take the absolute value ?

2×5 = 10

5/1 = 5

8 0
2 years ago
3 1/8 rounded to the closest benchmark
Karolina [17]
I have the answer but brainly is not working
3 0
3 years ago
Read 2 more answers
Determine the intercepts of the line <br> The x and y intercepts please help
Anna007 [38]

Answer:

See below in bold.

Step-by-step explanation:

As we see from the diagram the x -intercept ( where the line intercepts the horizontal x-axis) is (3, 0) and the y-intercept is  (0, -10).

5 0
4 years ago
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