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IrinaK [193]
1 year ago
11

A tree is leaning at a 5° angle from vertical, making an 85° angle with the ground. when the sun is at a 65° angle of elevation,

the tree casts a 25-foot shadow. what is the approximate length of the tree? 23 ft. 27 ft. 45 ft. 50 ft.
Mathematics
1 answer:
White raven [17]1 year ago
5 0

using the law of sines, the approximate length of the tree is calculated as: C. 45 ft.

<h3>What is the Law of Sines?</h3>

The law of sines is given as: sin A/a = sin B/b = sin C/c, which is used to solve a triangle.

Given the following:

  • H = the length of the tree = ? (b)
  • Let sin A = 30°
  • a = 25
  • Sin B = 65°

Apply the law of sines

sin 30/25 = sin 65/H

H = (sin 65 × 25)/sin 30

H ≈ 45 ft.

Learn more about the law of sines on:

brainly.com/question/2807639

#SPJ4

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The approximate volume of a sphere with a diameter of 10 centimeters is
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Answer: The volume is approximately 523.6 cm³.

Step-by-step explanation:

The formula for the volume of a sphere is V=4/3(3.14)r³

The radius is 5 cm, the you just have to multiply everything together.

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Which one of these dishes would make the food dish the warmest when placed on top of it?
vivado [14]
The answer would most likely be C
8 0
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Make a frequency distribution and find the relative frequencies for the following number set. Round the relative frequency to th
Mandarinka [93]
Number......frequency.....relative frequency
10                  2                    2/24 = 8.3%
20                  2                    2/24 = 8.3%
30                  4                    4/24 = 16.7%
40                  2                    2/24 = 8.3%
50                  3                    3/24 = 12.5%
60                  5                    5/24 = 20.8%
70                  3                    3/24 = 12.5%
80                  1                    1/24 = 4.2%
90                  2                    2/24 = 8.3%
total :           24
7 0
3 years ago
Use the remainder theorem to divide 5x^2+9x-2 by x+3. what is the remainder?
Anna [14]

Answer:

A)16

Step-by-step explanation:

Given

f(x)=5x^2+9x-2

Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).

Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:

f(x)=5x^2+9x-2

f(-3) = 5(-3)^2 +9(-3) -2

       =5(9) - 27 -2

       = 45-29

       = 16 !

5 0
3 years ago
In a competition, a school awarded medals in different categiories.40 medals in sport 25 medals in danceand 212 medals in music,
aleksley [76]

Answer:

210

Step-by-step explanation:

Given:

Medals in sports = 40

Medals in dance = 25

Medals in music = 212

Total students that received medals = 55

Total students that received medals in all three categories = 6

Required:

How many students get medals in exactly two of these categories?

Take the following:

A = set of persons who got medals in sports.

B = set of persons who got medals in dance

C = set of persons who got medals in music.

Therefore,

n(A) = 40

n(B) = 25

n(C) = 212

n(A∪B∪C)= 55

n(A∩B∩C)= 6

To find how many students get medals in exactly two of these categories, we have:

n(A∩B) + n(B∩C) + n(A∩C) −3*n(A∩B∩C)

=n(A∩B) + n(B∩C) + n(A∩C) −3*6 ……............... (1)

n(A∪B∪C)=n(A)+n(B)+n(C)−n(A∩B)−n(B∩C)−n(A∩C)+n(A∩B∩C)

Thus, n(A∩B)+n(B∩C)+n(A∩C)=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)

Using equation 1:

=n(A)+n(B)+n(C)+n(A∩B∩C)−n(A∪B∪C)−18

Substitute values in the equation:

= 40 + 25 + 212 + 6 − 55 − 18

= 283 - 73

= 210

Number of students that get medals in exactly two of these categories are 210

6 0
3 years ago
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