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tia_tia [17]
3 years ago
11

A momma bird is sitting on the ground. The baby bird in the nest can see her momma at an angle of depression of 54°. If the momm

a bird is 18 feet from the base of the tree, how high is the bird's nest off the ground? Question 2 options: 28 ft 25 ft 15 ft 11 ft
Mathematics
1 answer:
dmitriy555 [2]3 years ago
5 0

Answer:

  • B. 25 ft

Step-by-step explanation:

<u>We have the following points:</u>

  • B- position of baby bird
  • M- position of momma bird
  • G- base of the tree

<u>Given:</u>

  • GM = 18 feet
  • BG = x
  • m∠BMG = 54°

<u>Find the value of x:</u>

  • x / GM = tan ∠BMG
  • x / 18 = tan 54°
  • x = 18 tan 54°
  • x = 24.77 ≈ 25 ft

Correct choice is B

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lisov135 [29]

Answer:

4. Option 3: 65.1 cm^2

5. Option 3: 3.4 inches^2

Step-by-step explanation:

<u>Question 4 :</u>

We can see that there is a rectangle and a half circle in the picture.

So we will find the area of both separately

For the area of rectangle

Area=length*width

=8*5

=40 cm^2

We know that the line which is representing the diameter has length 8 cm

To find the radius

r=d/2

=8/2

=4 cm

As we cannot find the area of half circle, we will find the area of full circle and will divide it in half.

So,

area= πr^2

=3.14*(4)

=3.14*16

=50.24 cm^2

Area of half circle=(Area of full circle)/2

=50.24/2

=25.12 cm^2

So the area of shape will be

Area of rectangle+area of half circle

=40 cm^2+25.12 cm^2

=65.12 cm^2

Rounding off to nearest 10 will give 65.1 cm^2

So, option 3 is the correct answer ..

<u>Question 5 :</u>

To find the area of shaded region we have to find the area of circle and area of square in which it is inscribed

So,

area of circle= πr^2

=3.14*(2)^2

=3.14*4

=12.56 inches^2

And to find the area of square we need one of its side, we can clearly see that the diameter of circle will be equal to the side of square

So,

Side of square=s=r*2

=2*2

=4 inches

Area of square=s^2

=4^2

=16 inches^2

To find the area of shaded region we have to subtract the area of circle from the area of square

So,

Area of Shaded Region=Area of Square-Area of Circle

=16-12.56

=3.44 inches^2

Rounding off to the nearest 10 will give 3.4 inches^2 ..

So, option 3 is the correct answer ..

7 0
3 years ago
Exhibit 5-3 The probability distribution for the number of goals the Lions soccer team makes per game is given below. Number of
ioda

Answer:

0.55 is the probability that Lions will score less than 3 goals.

Step-by-step explanation:

We are given the following in the question:

Number of goals(x):         0         1           2         3          4

             Probability:      0.05     0.15     0.35     0.30     0.25

We have to find the probability that Lions will score less than 3 goals.

P(X

0.55 is the probability that Lions will score less than 3 goals.

8 0
3 years ago
A coin is flipped twice. What is the probability that it will come up once heads and once tails
Illusion [34]

1/2 or 50%, because there are two possibilities out of four.

If you think about flipping a coin twice, there are exactly four possible outcomes:

  Flip 1          Flip 2

1. tails            heads

2. tails            tails

3. heads        tails

4. heads        heads

In two of these possibilities (1 and 3) the coin flipped different sides.

That means 2/4 possibilities matched, and this can be reduced to 1/2

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3 years ago
What is 938 written in standard form?
Furkat [3]

Answer:

9.38 \times 10^{2}

Step-by-step explanation:

All numbers in scientific notation or standard form are written

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where m is a number between 1 and 10.

8 0
3 years ago
Read 2 more answers
Multiply 6.75x10^6 and 1.2x10^6 Keep the numbers written in scientific notation when you are solving the problem Show all of you
harkovskaia [24]

Answer:

8.1×10^12

Step-by-step explanation:

6.75×1.2=8.1 and power should be added 6+6=12 and answer is 8.1×10^12

4 0
2 years ago
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