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photoshop1234 [79]
3 years ago
11

A princess is standing 38 feet from the base of a 217 foot tall tower. What is the angle of elevation from him to the ogre who h

as his princess held captive
Mathematics
1 answer:
joja [24]3 years ago
5 0

Answer:

Angle of elevation = 80°

Step-by-step explanation:

A princess is standing 38 feet from the base of a 217 foot tall tower. What is the angle of elevation from him to the ogre who has his princess held captive?

To solve for angle of elevation, we use the Trigonometric function of Tangent.

tan θ = Opposite side/Adjacent side

Opposite side = Height of the tower = 217 ft

Adjacent side = 38ft

tan θ = 217/38

tan θ = 5.6315789474

θ = arc tan 5.6315789474

= 79.930937301°

Approximately = 80°

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I will give lot of points please help
zheka24 [161]

Answer:

V = 43323 mm³

(second answer is already correct)

Step-by-step explanation:

these pennies make up the shape of a cylinder, so, we can solve this question by solving for the volume of a cylinder.

the volume of a cylinder can be found with the formula:

V = πr²h

(V = volume ; π = pi ; r = radius ; h = height)

We know the diameter of this cylinder is 19.05 mm. Diameter is two times the length of the radius, (diameter is all the way across, radius is from center to outer / halfway across) meaning that we can find the radius by dividing 19.05 by 2.

diameter = 19.05

radius = 19.05 / 2 = 9.525

so, r = 9.525

we also are given the height of this cylinder, 38 mm

so, h = 38

π = 3.14159 (π is a constant)

plugging our measurements into the volume formula:

 V = πr²h

V = (3.14159)(9.525²)(38)

V =  (3.14159)(362.9025)(38)

V = 43323.4894628

[rounded to V = 43323 mm³]

And yes, the volume is not affected by a change in shape. (you are correct)

hope this helps!!

4 0
2 years ago
Read 2 more answers
Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.
ExtremeBDS [4]

Answer:

Following are the true statements

2. The factors common to 20a and 15ab are 1, 5, and a.

3. The factors common to 20a and 24b are 1, 2, and 4.

5. The GCF of the expression is 1

Step-by-step explanation:

Expression is  20a + 15ab + 24b

Now lets have a look at each of the options provided!

1. The factors common to 20a and 15ab are 1, 5, a, and b.

False

As you can see there is no b in 20a term only 1,5,a are common hence it is false.

2. The factors common to 20a and 15ab are 1, 5, and a.

True

The terms 20a and 15ab are divisible by 1,5,a hence it is true.

3. The factors common to 20a and 24b are 1, 2, and 4.

True

The terms 20a and 24b are divisible by 1,2,4 hence it is true

4. The GCF of the expression is ab.

False

20a + 15ab + 24b

As you can see ab is not common in all of the terms hence it cannot be greatest common factor

5. The GCF of the expression is 1

True

Factor of 20 are: 2,2,5,1

Factor of 15 are: 3,5,1

Factor of 24 are: 2,2,2,3,1

As you can see the only common factor among all the terms is 1 hence GCF is 1.

5 0
3 years ago
Anyone know how to find this answer
Kaylis [27]
The answer is a i hope i helped
4 0
3 years ago
What is the surface area of the figure shown?
Shalnov [3]

Answer:

The surface area of the figure = 962 ft²

Step-by-step explanation:

The rectangle dimensions and its area given below

Dimensions       Number         Area

12 x 7                2                   12 x 7 x 2 = 168

16 x 7                1                    16 x 7 = 112

12 x (16 + 5)     1                    12 x 21 = 252

16 x 12              1                    16 x 12 = 192

16 x 13              1                     16 x 13 = 208

Triangle dimensions

Dimensions           Number         Area

b = 12  & h = 5       2                bh/2 = (12*5)/2  = 30

To find total area

Total area = 168 + 112 + 252 + 192 + 208 + 30 = 962 ft²

5 0
3 years ago
Tony’s club is selling oranges to raise money. For every box they sell, they get 1 1/8 dollars profit. They have sold 75 boxes a
dmitriy555 [2]

Tony’s club is selling oranges to raise money. For every box they sell, they get 1 1/8 dollars profit. They have sold 75 boxes already. How many more boxes must they sell to raise 180 dollars?

Answer: We are given:

The amount of money Tony's club get for every box they sell =1 \frac{1}{8} =1.125 dollar

They amount of money Tony's club has raised by selling 75 boxes is:

75 \times 1.125=84.375 dollars

The amount of money Tony's club is required to raise = 180 dollars

The remaining need to be raised is :

180-84.375=95.625 dollars

Therefore, the number of more boxes to be sold are:

\frac{95.625}{1.125}=85

Hence, 85 more boxes they must sell to raise 180 dollars

8 0
2 years ago
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