All categories

2 years ago

if a model of a tower uses a scale of 1/3 inch=2ft and the actual tower is 207 feet tall what's the height of the model

Mathematics

1 answer:

stepladder [879]2 years ago

7 0

Answer:

The height of the model is 2 feet 10.5 inches.

Step-by-step explanation:

Given:

scale of 1/3 inch=2ft

actual tower is 207 feet

To Find:

The height of the model = ?

Solution:

We know that 1 feet is 12 inches

Then 2 feet is $12 \times 2$ = 24 inches

24 inches= $72 \times \frac{1}{3}$ of a inch.

The tower is 72 times the scale of the model.

Now the actual tower is 207 feet

$\frac{207}{72}$ = $\frac{23}{8}$ , units feet

=> $2 \frac{7}{8} feet$

=> 2 feet 10.5 inches.

You might be interested in

Students make 93.5 ounces of liquid soap for a craft fair. They put the soap in 5.5-ounce bottles and sell each bottle for $4.

s2008m [1.1K]

Answer:

$76.5

Step-by-step explanation:

93.5÷5.5=17

17×4.50=76.5

Therefore the answer is 76.5.

8 0

2 years ago

Expand and simplify (k-3)^7

nikklg [1K]

There are a couple of ways you can solve this. You can write it out like
(K-3)(K-3)(K-3)(K-3)(K-3)(K-3)(K-3)
And pretty much use the foil method
Or you can use the binomial theorem (google it if you dont know)
The solution should be:
(K^7) - 21(k^6) + 189(k^5) - 945(k^4) + 2835(k^3) - 5103(k^2) + 5103k - 2187

3 0

2 years ago

Read 2 more answers

Frank left his house at 7 a.m. and drove to the airport at a speed of 50 mph. Lance left his house at 6 a.m. and drove to the sa

Tamiku [17]

Answer:

Lance will arrive at the airport at 10:00 AM.

Step-by-step explanation:

Lance left his house at 6:00 AM, and drove to the airport, which is 220 miles away, at 55mph; therefore, the time $t$ it takes Lance to cover the distance of 220 miles is

$t = \dfrac{220m}{55mph}$

$t= 4 \: hours.$

Thus, it takes Lance 4 hours to reach the airport, and since he departed at 6:00 AM, he will arrive at the airport at (6+4):00 AM + 10:00 AM.

6 0

2 years ago

Read 2 more answers

Britton rotated trapezoid ABCD 180° on the coordinate plane. If angle B is 20° and angle D is 90°, what is the degree measuremen

olasank [31]

Answer:

The answer is 20 degrees

Step-by-step explanation:

A trapezoid is a quadrilateral with four angles and the sum of the four angles is 360 degrees.

Britton rotated the trapezoid ABCD 180º, but we were not told that he tampered with the angles size or shape, we can now agree that it is still the same trapezoid that was rotated without any alterations in angles, size and shape.

Since we've been given that the angle B is 20º, and the measurement was not altered when rotating the trapezoid. Therefore the angle B' will also be 20º.

I hope this helps.

6 0

2 years ago

Read 2 more answers

At eagle bay it cost $12 per hour to rent a Canoe Nate and his friends rented a canoe for 4 hours and paid $68. Write and solve

stich3 [128]

The cost to rent the canoe for 7 hours is $ 104

Solution:

At eagle bay it cost $12 per hour to rent a Canoe

Nate and his friends rented a canoe for 4 hours and paid $68

Let "x" be the number of hours rented

We can solve use the point slope equation