the change in the scale factor is
.Correct option C) StartFraction 45 feet over 40 feet EndFraction
<u>Step-by-step explanation:</u>
Here we have , Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. A rectangle with length of 15 inches and width of 5 inches. She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. We need to find Which expression finds the change in the scale factor . Let's find out:
Initially the ratio of width to actual width is :
⇒ 
Now , After 45 ft is changed to 40 ft , New ratio becomes :
⇒ 
So , change in scale factor is from
to
i.e.
⇒ 
⇒ 
⇒ 
Therefore , the change in the scale factor is
.Correct option C) StartFraction 45 feet over 40 feet EndFraction
Point slope: y - y1 = m(x - x1)
Plug in the points
Answer: y - 5 = 1/3(x + 2)
Answer:
7 apples left
Step-by-step explanation:
So he has 15 apples. IF he gives aways 8, he only has 15-8= 7 apples left
Answer:
10
Step-by-step explanation
The earthquake measures 6.4 on the Richter scale which struck Japan in Jullu 2007 and caused and extensive damage. Earlier that year, a minor earthquake measuring 3.1 in the Richter scale has stroked in parts of Pennsylvania.
Fomular:
The magnitude of an earthquake is M log(I/S)
where I donates the intensity of the earthquake and S be the intensity of the standard earthquake.
Calculation:
Consider that M1 be the magnitude Japanese earthquake and M2 be the magnitude of the Pennsylvania earthquake and L1 be the intensity of the Japanese earthquake and L2 the intensity of the Pennsylvania earthquake.
Here the magnitude of the Japanese earthquake is M1 = 6.14 and the magnitude of the Pennsylvania is M2 = 3.1
By the use of magnitude of the earthquake fomular M = log I1/S, the intensity of the Japanese earthquake is calculated as follows .
M1 = log I1/S
I1/s = 10
Answer:
Distance is 8.485
Midpoint is (3,4)
Step-by-step explanation:
Use the points (-1,7) and (5,1)
Insert them into the equation and solve for D

Insert points into second equation to find midpoint
