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3 years ago

8

Natalia is making a model of a statue using a scale in which 7 centimeter equals 4 feet. If the model is 3.5 centimeters wide, w

hat is the actual width of the statue, in feet? Your answer can be exact or rounded to two decimal places,

1 answer:

Serhud [2]3 years ago

7 0

Answer:

2 ft

Step-by-step explanation:

$\dfrac{7}{4} = \dfrac{3.5}{x}$

$7x = 4 \times 3.5$

$x = 2$

Answer: 2 ft

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In the diagram below, what is the equation that represents the relationship between the number of triangles and the perimeter of

Marina86 [1]

Answer:

The perimeter of the figure as a function of the number of triangles is $y = 6 + 4\cdot x$ .

Step-by-step explanation:

According to the diagram, we get the following facts:

i) For one triangle ( $x=1$ ), the total perimeter is ( $y=2\cdot 3 + 1\cdot 4 = 10$ ).

ii) For two triangles ( $x = 2$ ), the total perimeter is ( $y = 2\cdot 3 +2\cdot 4 = 14$ )

iii) For three triangles ( $x = 3$ ), the total perimeter is ( $y = 2\cdot 3 +3\cdot 4 = 18$ )

iv) For four triangles ( $x = 4$ ), the total perimeter is ( $y = 2\cdot 3 +4\cdot 4 = 22$ )

From these information we conclude that the equation that determines the perimeter of the figure as a function of the number of triangles is $y = 6 + 4\cdot x$ .

6 0

2 years ago

9. A small airplane is 60 miles from the airport and is going down for landing with some angle of depression. However its naviga

Svetradugi [14.3K]

Answer:

13.98 degrees

Step-by-step explanation:

Let the airplane be at point A, the airport at point B and the point of overshoot, point C.

If the plane is on path AC and the pilot wants to adjust to the path AB, the angle by which the pilot will adjust the airplane heading is the angle between AB and AC which is A.

Using Cosine Rule

$Cos A=\dfrac{b^2+c^2-a^2}{2bc} \\Cos A=\dfrac{65^2+60^2-16^2}{2(65)(60)} \\Cos A=0.9704\\A=arcCos (0.9704)\\\angle A=13.98^\circ$

The pilot should adjust the plane's heading by 13.98 degrees.

8 0

3 years ago

The Drawing of a building, shown below, has a scale of 1 inch to 30 feet. What is the Actual height, in feet, of a building?

tatyana61 [14]

Well what were given:
1 inch = 30 feet

The drawing of the building of this problem has the height of 1.25 inches and base of 0.75 inches.

Actual height:
1.25 inches * 30 feet/inch = 37.50 feet

Actual base:
0.75 inches * 30 feet/inch = 22.50 feet

So in this problem the answer would be "A" 22.50 Aka 22.5 For the building. Hope this helps you! (:

7 0

3 years ago

Copy and complete the statement using <,> or =.

Veronika [31]

I did not understand

6 0

3 years ago

The width of a piece of paper was 1/2. The area of the paper was 9/16. What was the length of the paper?

lutik1710 [3]

Answer:

Length = 1.5

Step-by-step explanation:

L = A divided by W

L = .75 divided by .5 = 1.5

7 0

2 years ago