Answer:
Step-by-step explanation:
Note that there are two scale models with each of ratio of 1/2 and 1/16 respectively.
For the first model, the dimension will be as follows:
Length/2 by width/2
94/2 by 50/2 = 47 feet by 25 feet.
For the second model, the dimension will be as follows:
Length/16 by width/16
The dimensions of the second model is 94/16 by 50/16 = 5.875 feet by 3.125 feet.
Since we are to solve for the area of the smallest scale model which is
5.875 feet by 3.125 feet.
Hence, area (A) = L× W
=5.875 × 3.125 feet.
= 18.359ft^2
Answer:
84 km
Step-by-step explanation:
you times 7 by 4 and get 28 then you times 3 by 28 and get 84 km
360/60 = 6
6 degrees every second
6*20 = 120 degrees
120 degrees after 20 seconds
6 * 45 = 270
270 degrees after 45 seconds
Hope I helped!
Let me know if you need anything else!
~ Zoe

<h3><u>Given </u><u>:</u><u>-</u></h3>
- We have given the coordinates of the triangle PQR that is P(-4,6) , Q(6,1) and R(2,9)
<h3><u>To</u><u> </u><u>Find </u><u>:</u><u>-</u></h3>
- <u>We </u><u>have </u><u>to </u><u>calculate </u><u>the </u><u>length </u><u>of </u><u>the </u><u>sides </u><u>of </u><u>given </u><u>triangle </u><u>and </u><u>also </u><u>we </u><u>have </u><u>to </u><u>determine </u><u>whether </u><u>it </u><u>is </u><u>right </u><u>angled </u><u>triangle </u><u>or </u><u>not </u>
<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>
<u>Here</u><u>, </u><u> </u><u>we </u><u>have </u>
- Coordinates of P =( x1 = -4 , y1 = 6)
- Coordinates of Q = ( x2 = 6 , y2 = 1 )
- Coordinates of R = ( x3 = 2 , y3 = 9 )
<u>By </u><u>using </u><u>distance </u><u>formula </u>

<u>Subsitute </u><u>the </u><u>required </u><u>values </u><u>in </u><u>the </u><u>above </u><u>formula </u><u>:</u><u>-</u>
Length of side PQ






Length of QR





Length of RP





<h3><u>Now</u><u>, </u></h3>
We have to determine whether the triangle PQR is right angled triangle
<h3>Therefore, </h3>
<u>By </u><u>using </u><u>Pythagoras </u><u>theorem </u><u>:</u><u>-</u>
- Pythagoras theorem states that the sum of squares of two sides that is sum of squares of 2 smaller sides of triangle is equal to the square of hypotenuse that is square of longest side of triangle
<u>That </u><u>is</u><u>, </u>

<u>Subsitute </u><u>the </u><u>required </u><u>values</u><u>,</u>


<u>From </u><u>above </u><u>we </u><u>can </u><u>conclude </u><u>that</u><u>, </u>
- The triangle PQR is not a right angled triangle because 205 ≠ 45 .