Need help please don't know the answer

The area of a square for on a scale drawing of 100 square centimeters and the scale drawing to 1 cm: 2 feet what is the area of

lilavasa [31]

Answer:

1. $\boxed{\text{400 ft}^{2}}$ ; 2. $\boxed{\frac{1}{3716}}$

Step-by-step explanation:

Step 1. Calculate the area of the floor

If the area A₁ of a square floor on the scale drawing is 100 cm², the length of a side is 10 cm.

The side length l of the actual floor is

l = 10 cm × (2 ft/1 cm) = 20 ft

The area A₂ of the floor is

A = l² = (20 ft)² = $\boxed{\text{400 ft}^{2}}\\$

Step 2. Calculate the area ratios

We must express both areas in the same units.

Let's express the area of the room in square centimetres.

l = 20 ft × (12 in/1 ft) = 240 in

l = 240 in × (2.54 cm/1 in) = 609.6 cm

A₂ = l² = (609.6 cm)² = 371 612 cm²

The area A₁ on the scale drawing is 100 cm².

The ratio of the areas is

$\frac{A_{1}}{ A_{2}} = \frac{100}{371612} = \frac{1 }{3716}\\$

The ratio of the area in the drawing to the actual area is $\boxed{\frac{1}{3716}}$

8 0

3 years ago

Frank has a student loan of $55,780.

LenaWriter [7]

Answer: $6197.77 would be the right answer

hope it helps :]

7 0

3 years ago

A fisherman leaves his home port and heads in the direction N 70 ° W. He travels d1 = 40 mi and reaches Egg Island. The next day

Gnesinka [82]

Answer:

A)82.02 mi

B) 18.7° SE

Step-by-step explanation:

From the image attached, we can see the angles and distance depicted as given in the question. Using parallel angles, we have been able to establish that the internal angle at egg island is 100°.

A) Thus, we can find the distance between the home port and forrest island using law of cosines which is that;

a² = b² + c² - 2bc Cos A

Thus, let the distance between the home port and forrest island be x.

So,

x² = 40² + 65² - 2(40 × 65)cos 100

x² = 1600 + 4225 - (2 × 2600 × -0.1736)

x² = 6727.72

x = √6727.72

x = 82.02 mi

B) To find the bearing from Forrest Island back to his home port, we will make use of law of sines which is that;

A/sinA = b/sinB = c/sinC

82.02/sin 100 = 40/sinθ

Cross multiply to get;

sinθ = (40 × sin 100)/82.02

sin θ = 0.4803

θ = sin^(-1) 0.4803

θ = 28.7°

From the diagram we can see that from parallel angles, 10° is part of the total angle θ.

Thus, the bearing from Forrest Island back to his home port is;

28.7 - 10 = 18.7° SE

4 0

3 years ago

Use the picture provided to figure out the combination.

AlladinOne [14]

Answer:

4223?

Step-by-step explanation:

i need morw context

4 0

2 years ago

How do you know that 35x5=5x35 without finding the products?

Maurinko [17]

They equal 5*5=25 and 35*35=1225

5 0

3 years ago

Need help please don't know the answer ​

Need help please don't know the answer